میڈیاویکی اےپی‌آئی کا نتیجہ

{
    "compare": {
        "fromid": 1,
        "fromrevid": 1,
        "fromns": 0,
        "fromtitle": "\u0635\u0641\u062d\u06c2 \u0627\u0648\u0644",
        "toid": 2,
        "torevid": 2,
        "tons": 0,
        "totitle": "\u0644\u06a9\u06cc\u0631\u06cc \u0627\u0644\u062c\u0628\u0631\u0627/\u0628\u0627\u0628 4",
        "*": "<tr><td colspan=\"2\" class=\"diff-lineno\" id=\"mw-diff-left-l1\">\u0633\u0637\u0631 1:</td>\n<td colspan=\"2\" class=\"diff-lineno\">\u0633\u0637\u0631 1:</td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>'''<del class=\"diffchange diffchange-inline\">\u0645\u06cc\u0688\u06cc\u0627\u0648\u06a9\u06cc </del>\u06a9\u0648 <del class=\"diffchange diffchange-inline\">\u06a9\u0627\u0645\u06cc\u0627\u0628\u06cc </del>\u0633\u06d2 <del class=\"diffchange diffchange-inline\">\u0686\u0627\u0644\u0648 \u06a9\u0631\u062f\u06cc\u0627 \u06af\u06cc\u0627 \u06c1\u06d2\u06d4.</del>'''</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">{{\u0631\u06cc\u0627\u0636\u06cc\u06d4\u0644\u06a9\u06cc\u0631\u06cc \u0627\u0644\u062c\u0628\u0631\u0627\u06d4\u0627\u0628\u0648\u0627\u0628}}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;div align=\"center\" style=\"font-size:150%;padding-bottom:.5em;\"&gt; \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627\u0621 \u0627\u0648\u0631 \u0633\u0645\u062a\u06cc\u06c1 \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627\u0621</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/div&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">{{\u0627\u0635\u0637\u0644\u0627\u062d \u0628\u0631\u0627\u0628\u0631|\u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627\u00a0 &lt;br&gt; \u0644\u06a9\u06cc\u0631\u06cc \u0641\u0636\u0627|Vector Space &lt;br&gt; Linear Space}} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u06cc\u0633\u06d2 \u0639\u0646\u0627\u0635\u0631 \u06a9\u0627 \u0645\u062c\u0645\u0648\u0639\u06c1 \u062c\u06c1\u0627\u06ba \u062c\u0645\u0639/\u062a\u0641\u0631\u06cc\u0642 \u06a9\u06d2 \u0639\u0645\u0644 \u0645\u0645\u06a9\u0646 \u06c1\u0648\u06ba\u060c \u0627\u0648\u0631 \u0639\u0646\u0627\u0635\u0631 \u06a9\u0648 \u0686\u06be\u0648\u0679\u0627 \u0628\u0691\u0627 \u06a9\u06cc\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u0648\u060c \"\u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627\" \u06a9\u06c1\u0644\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u0627\u0628 \u06c1\u0645 \u0645\u06a9\u0645\u0644 \u062a\u0639\u0631\u06cc\u0641 \u062f\u06cc\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0627\u06af\u0631 \u06a9\u0633\u06cc \u0645\u062c\u0645\u0648\u0639\u06c1 ''V'' \u06a9\u06d2 \u0639\u0646\u0627\u0635\u0631 ''X''\u060c ''Y''\u060c ''Z''\u060c \u0648\u063a\u06cc\u0631\u06c1 \u0645\u0646\u062f\u0631\u062c\u06c1 \u0630\u06cc\u0644 \u0642\u0648\u0627\u0639\u062f \u067e\u0631 \u067e\u0648\u0631\u06d2 \u0627\u062a\u0631\u06cc\u06ba\u060c \u062a\u0648 \u0627\u06cc\u0633\u06d2 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u0648 '</ins>'<ins class=\"diffchange diffchange-inline\">\u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627\u0621</ins>'' <ins class=\"diffchange diffchange-inline\">\u06a9\u06c1\u06cc\u06ba \u06af\u06d2\u060c \u0627\u0648\u0631 \u0639\u0646\u0627\u0635\u0631 </ins>\u06a9\u0648 <ins class=\"diffchange diffchange-inline\">''\u0633\u0645\u062a\u06cc\u06c1'': </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0642\u0648\u0627\u0639\u062f===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* \u062c\u0645\u0639</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># ''X+Y''\u00a0  &amp;nbsp;\u00a0 \u0645\u062c\u0645\u0648\u0639\u06c1 ''V'' \u06a9\u0627 \u0639\u0646\u0635\u0631 \u06c1\u0648</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">#\u00a0 ''X+Y'' = ''Y+X''\u00a0 &amp;nbsp; ([[W:ur:Commutativity|\u0645\u0628\u062f\u0644\u06cc]])</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># ''(X+Y) + Z'' = ''X + (Y+Z)''\u00a0 &amp;nbsp; ([[W:ur:Associativity|\u0645\u0634\u0627\u0631\u06a9\u06cc]])</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># ''X+0''=''X''\u00a0 &amp;nbsp; (\u00a0 \u0635\u0641\u0631 \u0634\u0646\u0627\u062e\u062a \u0639\u0646\u0635\u0631 (0) \u06a9\u06cc \u0645\u0648\u062c\u0648\u062f\u06af\u06cc)</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># ''X+(-X)''=''0''\u00a0 &amp;nbsp; (\u062c\u0645\u0639\u06cc\u0627\u062a\u06cc \u0627\u064f\u0644\u0679\u060c \u062a\u0641\u0631\u06cc\u0642 \u0645\u0645\u06a9\u0646)</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0639\u062f\u0627\u062f ''a''\u060c ''b''\u060c \u0648\u063a\u06cc\u0631\u06c1 \u06a9\u06d2 \u0644\u06cc\u06d2</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* \u0627\u0639\u062f\u0627\u062f </ins>\u0633\u06d2 <ins class=\"diffchange diffchange-inline\">\u0636\u0631\u0628</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># ''aX'' &amp;nbsp;\u00a0 \u0645\u062c\u0645\u0648\u0639\u06c1 ''V'' \u06a9\u0627 \u0639\u0646\u0635\u0631 \u06c1\u0648</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># \u202d''(ab)X''=''a(bX)''\u202c\u00a0 &amp;nbsp; ([[W:ur:Associativity|\u0645\u0634\u0627\u0631\u06a9\u06cc]])\u202c</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># \u202d''(a+b)X''=''aX+bX'' \u202c &amp;nbsp; ([[W:ur:Distributivity|\u062a\u0648\u0632\u06cc\u0639\u06cc]] )\u202c</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># \u202d''a(X+Y)''=''aX+aY''\u202c &amp;nbsp; ([[W:ur:Distributivity|\u062a\u0648\u0632\u06cc\u0639\u06cc]])</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">#\u00a0 \u202d''1 X''='</ins>'<ins class=\"diffchange diffchange-inline\">X</ins>''<ins class=\"diffchange diffchange-inline\">\u202c &amp;nbsp; \u0636\u0631\u0628\u06cc \u0634\u0646\u0627\u062e\u062a \u0639\u0646\u0635\u0631 (1) \u06a9\u06cc \u0645\u0648\u062c\u0648\u062f\u06af\u06cc</ins></div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">Consult the </del>[<del class=\"diffchange diffchange-inline\">https</del>://<del class=\"diffchange diffchange-inline\">www.mediawiki.org</del>/<del class=\"diffchange diffchange-inline\">wiki</del>/<del class=\"diffchange diffchange-inline\">Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Help:Contents User</del>'<del class=\"diffchange diffchange-inline\">s Guide] for information on using the wiki software.</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==\u0645\u062b\u0627\u0644\u00a0 &lt;math&gt; \\mathbb{R}^2 &lt;/math&gt;==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[</ins>[<ins class=\"diffchange diffchange-inline\">Image</ins>:<ins class=\"diffchange diffchange-inline\">Simtia_vetor_single.png]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u06cc\u06a9 \u0645\u0633\u062a\u0648\u06cc \u0645\u06cc\u06ba \u06a9\u0633\u06cc \u0628\u06be\u06cc \u0646\u0642\u0637\u06c1 \u06a9\u0648 \u062f\u0648 \u067e\u06cc\u0645\u0627\u0626\u0634\u0648\u06ba \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06c1 \u0688\u06be\u0648\u0646\u0688\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u060c \u0627\u06cc\u06a9 \u0645\u0628\u062f\u0627\u0621 (origin) \u0645\u0642\u0631\u0631 \u06a9\u0631 \u06a9\u06d2\u060c \u0627\u0641\u0642\u06cc \u067e\u06cc\u0645\u0627\u0626\u06cc\u0634 \u06a9\u0648 \u0639\u0645\u0648\u0645\u0627\u064b ''x'' \u0644\u06a9\u06be\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2 \u0627\u0648\u0631 \u0639\u0645\u0648\u062f\u06cc \u067e\u06cc\u0645\u0627\u0626\u06cc\u0634 \u06a9\u0648 ''y''\u00a0 \u06d4 \u0627\u0633 \u0637\u0631\u062d \u0627\u0633 \u0646\u0642\u0637\u06c1 \u06a9\u0648 \u0639\u0645\u0648\u0645\u0627\u064b \u202d''(x, y)''\u202c \u0644\u06a9\u06be\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4\u00a0 \u0627\u0646 \u062f\u0648 \u0627\u0639\u062f\u0627\u062f (\u062c\u0648 [[:W:ur:\u0645\u06cc\u062f\u0627\u0646|\u0645\u06cc\u062f\u0627\u0646]] &lt;math&gt; \\mathbb{R} &lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u0645\u06cc\u06ba \u06c1\u06cc\u06ba) \u06a9\u0648 \u0627\u06cc\u06a9 &lt;math&gt;\\ 2 \\times 1 &lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06d2 \u0628\u0637\u0648\u0631 \u06cc\u0648\u06ba</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\left[\\begin{matrix} x \\\\ y\\end{matrix}\\right]&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2 \u06d4 \u06cc\u0639\u0646\u06cc \u0645\u0633\u062a\u0648\u06cc \u06a9\u06d2 \u06a9\u0633\u06cc \u0628\u06be\u06cc \u0646\u0642\u0637\u06c1 \u06a9\u0648 \u0628\u0637\u0648\u0631 \u0633\u0645\u062a\u06cc\u06c1 \u06cc\u0648\u06ba</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\left[\\begin{matrix} x \\\\ y\\end{matrix}\\right]&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4 \u0627\u0628 \u0686\u0648\u0646\u06a9\u06c1 \u06cc\u06c1 \u0633\u0645\u062a\u06cc\u06c1 \u0627\u06cc\u06a9 \u0645\u0635\u0641\u0648\u0641\u06c1 \u06c1\u06cc\u06ba\u060c \u0627\u0633 \u0644\u06cc\u06d2 [[W</ins>:<ins class=\"diffchange diffchange-inline\">ur:\u0645\u06cc\u0679\u0631\u06a9\u0633|\u0645\u0635\u0641\u0648\u0641\u06c1]] \u062d\u0633\u0627\u0628 \u06a9\u06d2 \u0642\u0627\u0626\u062f\u06d2 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u06a9\u06cc \u062a\u0645\u0627\u0645 \u0644\u0648\u0627\u0632\u0645\u0627\u062a \u067e\u0648\u0631\u06cc \u06c1\u0648\u062a\u06cc \u06c1\u06cc\u06ba\u06d4 \u0627\u0633 \u0644\u06cc\u06d2 &lt;math&gt; \\mathbb{R}^2 &lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u06a9\u06d2\u00a0 \u0646\u06a9\u062a\u06d2 \u0627\u06cc\u06a9 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627\u0621 \u0628\u0646\u0627\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0633\u0645\u062a\u06cc\u06c1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;U=\\left[\\begin{matrix} x \\\\ y\\end{matrix}\\right]&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06a9\u0648 \u0642\u0637\u0628\u06cc \u0635\u0648\u0631\u062a \u0645\u06cc\u06ba \u0645\u0637\u0644\u0642 \u0642\u062f\u0631</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt; r = {(U^tU)}^{1/2} = \\sqrt{x^2 + y^2}&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0648\u0631 \u0632\u0627\u0648\u06cc\u06c1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt; \\theta = \\tan^{-1}\\frac{y}{x} &lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0633\u06d2 \u062f\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u060c \u0627\u0648\u0631 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0648 \u062a\u0635\u0648\u06cc\u0631\u06cc \u0635\u0648\u0631\u062a \u0645\u06cc\u06ba \u0645\u0628\u062f\u0627\u0621 &lt;math&gt;(0,0)&lt;/math&gt; \u0633\u06d2 \u0646\u0642\u0637\u06c1 &lt;math&gt;(x,y)&lt;/math&gt; \u062a\u06a9 \u0627\u06cc\u06a9 \u062a\u06cc\u0631 \u06a9\u06d2 \u0646\u0634\u0627\u0646 \u0633\u06d2 \u062f\u06a9\u06be\u0627\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u060c \u062c\u0633 \u06a9\u06cc \u0644\u0645\u0628\u0627\u0626\u06cc ''r'</ins>' <ins class=\"diffchange diffchange-inline\">\u0627\u0648\u0631 \u062f\u0627\u0626\u06cc\u06ba \u0627\u0641\u0642\u06cc \u0645\u062d\u0648\u0631 (x-axis) \u0633\u06d2 \u0632\u0627\u0648\u06cc\u06c1 &lt;math&gt;\\theta&lt;/math&gt; \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4\u00a0 \u063a\u0648\u0631 \u06a9\u0631\u0648 \u06a9\u06c1 \u0642\u0637\u0628\u06cc \u0635\u0648\u0631\u062a \u0645\u06cc\u06ba \u0628\u06be\u06cc \u0646\u0642\u0637\u06c1 \u06a9\u0648 \u062f\u0648 \u0627\u0639\u062f\u0627\u062f \u0633\u06d2 \u0644\u06a9\u06be\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2 (\u0645\u0637\u0644\u0642 \u0642\u062f\u0631 \u0627\u0648\u0631 \u0632\u0627\u0648\u06cc\u06c1) \u0645\u06af\u0631 \u0627\u0646 \u062f\u0648 \u0645\u0642\u062f\u0627\u0631\u0648\u06ba \u06a9\u0648\u00a0 \u0628\u0637\u0648\u0631 \u0645\u0635\u0641\u0648\u0641\u06c1 \u0646\u06c1\u06cc\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 (\u06cc\u0639\u0646\u06cc \u0645\u0635\u0641\u0648\u0641\u06c1 \u062d\u0633\u0627\u0628 \u06a9\u06d2 \u0642\u0627\u0639\u062f\u06d2 \u0644\u0627\u06af\u0648 \u0646\u06c1\u06cc\u06ba \u06a9\u06cc\u06d2 \u062c\u0627 \u0633\u06a9\u062a\u06d2)\u06d4</ins></div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>== <del class=\"diffchange diffchange-inline\">Getting started </del>==</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0634\u06a9\u0644 2 \u0645\u06cc\u06ba \u0646\u0642\u0637\u06c1 \u202d''(x</ins>=<ins class=\"diffchange diffchange-inline\">a, y=b)''\u202c \u06a9\u0648 \u0633\u0645\u062a\u06cc\u06c1 ''U'' \u0633\u06d2 \u062f\u06a9\u06be\u0627\u06cc\u0627 \u06c1\u06d2\u060c \u062c\u06c1\u0627\u06ba \u0645\u0628\u062f\u0627\u0621 \u202d''(x=0, y=0)''\u202c \u067e\u0631 \u06c1\u06d2\u06d4 \u0627\u0633\u06cc \u0637\u0631\u062d \u0634\u06a9\u0644 2 \u06a9\u06d2 \u0646\u0642\u0627\u0637 \u06a9\u0648 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u0631\u0648\u067e \u0645\u06cc\u06ba (\u0628\u0637\u0648\u0631 \u0645\u0635\u0641\u0648\u0641\u06c1) \u06cc\u0648\u06ba \u0644\u06a9\u06be\u062a\u06d2 \u06c1\u06cc\u06ba:</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* </del>[<del class=\"diffchange diffchange-inline\">https</del>://<del class=\"diffchange diffchange-inline\">www</del>.<del class=\"diffchange diffchange-inline\">mediawiki.org</del>/<del class=\"diffchange diffchange-inline\">wiki</del>/<del class=\"diffchange diffchange-inline\">Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Manual</del>:<del class=\"diffchange diffchange-inline\">Configuration_settings Configuration settings list</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* </del>[<del class=\"diffchange diffchange-inline\">https</del>://<del class=\"diffchange diffchange-inline\">www</del>.<del class=\"diffchange diffchange-inline\">mediawiki</del>.<del class=\"diffchange diffchange-inline\">org</del>/<del class=\"diffchange diffchange-inline\">wiki</del>/<del class=\"diffchange diffchange-inline\">Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Manual</del>:<del class=\"diffchange diffchange-inline\">FAQ MediaWiki FAQ</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">U=\\left[\\begin{matrix} a \\\\ b \\end{matrix}\\right] \\,,\\,</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* </del>[<del class=\"diffchange diffchange-inline\">https</del>://<del class=\"diffchange diffchange-inline\">lists</del>.<del class=\"diffchange diffchange-inline\">wikimedia</del>.<del class=\"diffchange diffchange-inline\">org</del>/<del class=\"diffchange diffchange-inline\">postorius</del>/<del class=\"diffchange diffchange-inline\">lists</del>/<del class=\"diffchange diffchange-inline\">mediawiki</del>-<del class=\"diffchange diffchange-inline\">announce</del>.<del class=\"diffchange diffchange-inline\">lists</del>.<del class=\"diffchange diffchange-inline\">wikimedia</del>.<del class=\"diffchange diffchange-inline\">org</del>/ <del class=\"diffchange diffchange-inline\">MediaWiki release mailing list</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">V=\\left[\\begin{matrix} c \\\\ d \\end{matrix}\\right] \\,,\\,</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>* [<del class=\"diffchange diffchange-inline\">https</del>://<del class=\"diffchange diffchange-inline\">www.mediawiki.org</del>/<del class=\"diffchange diffchange-inline\">wiki</del>/<del class=\"diffchange diffchange-inline\">Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Localisation</del>#<del class=\"diffchange diffchange-inline\">Translation_resources Localise MediaWiki for your language</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">W=\\left[\\begin{matrix} e \\\\ f \\end{matrix}\\right] </ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>* [<del class=\"diffchange diffchange-inline\">https</del>://<del class=\"diffchange diffchange-inline\">www.mediawiki.org</del>/<del class=\"diffchange diffchange-inline\">wiki</del>/<del class=\"diffchange diffchange-inline\">Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Manual</del>:<del class=\"diffchange diffchange-inline\">Combating_spam Learn how to combat spam on your wiki</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;table&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td align=\"center\"&gt;\u0634\u06a9\u0644 2&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td align=\"center\"&gt;\u0634\u06a9\u0644 3&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 &lt;/tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 &lt;tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;[[Image:LinAlgebra_simtia_vector_add.png]]&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;[[Image:LinAlgebra_simtia_translated.png]]&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 &lt;/tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 &lt;/table&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0628 \u0633\u0645\u062a\u06cc\u06c1 ''U'' \u0633\u06d2 \u0633\u0645\u062a\u06cc\u06c1 ''V'' \u06a9\u06cc \u0637\u0631\u0641 [[:W:ur:\u06c1\u0679\u0627\u0624|\u06c1\u0679\u0627\u0624]] \u0633\u0645\u062a\u06cc\u06c1 ''R'' \u0633\u06d2 \u062f\u06a9\u06be\u0627\u06cc\u0627 \u06af\u06cc\u0627 \u06c1\u06d2\u06d4 \u0627\u0633\u06d2 \u0645\u0635\u0641\u0648\u0641\u06c1 \u0631\u06cc\u0627\u0636\u06cc \u06a9\u06d2 \u0642\u0648\u0627\u0639\u062f \u06a9\u06d2 \u0645\u0637\u0627\u0628\u0642 \u06cc\u0648\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">R= V - U = </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix} c \\\\ d \\end{matrix}\\right] -</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix} a \\\\ b \\end{matrix}\\right] =</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix} c-a \\\\ d-b \\end{matrix}\\right] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u063a\u0648\u0631 \u06a9\u0631\u0648 \u06a9\u06c1 \u0633\u0645\u062a\u06cc\u06c1 ''R'' \u06a9\u06cc \u0633\u0645\u062a \u0646\u0642\u0637\u06c1 \u202d''(x=a, y=b)''\u202c \u0633\u06d2 \u0646\u0642\u0637\u06c1 \u202d''(x=c, y=d)''\u202c \u0633\u06cc\u062f\u06be\u06cc \u0644\u06a9\u06cc\u0631 \u06a9\u06cc \u0637\u0631\u0641 \u06c1\u06d2\u060c \u0627\u0648\u0631 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06cc \u0644\u0645\u0628\u0627\u0626\u06cc (\u0645\u0637\u0644\u0642 \u0642\u062f\u0631) \u0627\u0646 \u0646\u06a9\u0627\u062a \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u0646 \u0633\u06cc\u062f\u06be\u06cc \u0644\u06a9\u06cc\u0631 \u0645\u06cc\u06ba \u0641\u0627\u0635\u0644\u06c1 \u06c1\u06d2\u06d4 \u0627\u0633 \u0644\u06cc\u06d2 \u0627\u0633 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0648 \u0627\u0646 \u0646\u06a9\u0627\u062a \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u0646 \u06c1\u0679\u0627\u0624 \u06a9\u06c1\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u06cc\u06c1 \u0628\u06be\u06cc \u062f\u06cc\u06a9\u06be\u0648 \u06a9\u06c1 \u0633\u0645\u062a\u06cc\u06c1 ''R'' \u0686\u0648\u0646\u06a9\u06c1 \u062f\u0648 \u0646\u06a9\u062a\u0648\u06ba \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u06ba \u06c1\u06d2\u060c \u0627\u0633 \u0644\u06cc\u06d2 \u0627\u06af\u0631 \u0645\u0628\u062f\u0627\u0621 \u06a9\u0648 \u06a9\u0633\u06cc \u0627\u0648\u0631 \u0646\u0642\u0637\u06c1 \u067e\u0631 \u0644\u06d2 \u062c\u0627\u06cc\u0627 \u062c\u0627\u0626\u06d2\u060c \u062a\u0648 \u0627\u0633 \u06a9\u0627 \u0627\u0633 \u0633\u0645\u062a\u06cc\u06c1 ''R'' \u067e\u0631 \u06a9\u0648\u0626\u06cc \u0627\u062b\u0631 \u0646\u06c1\u06cc\u06ba \u067e\u0691\u06d2 \u06af\u0627\u06d4 \u0627\u0633 \u0644\u06cc\u06d2 \u0627\u06a9\u062b\u0631 \u06a9\u06c1\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u0633\u0645\u062a\u06cc\u06c1 \u0627\u06cc\u0633\u06cc \u0634\u0626\u06d2 \u06c1\u06d2 \u062c\u0648 \u06a9\u06c1 \u0627\u06cc\u06a9 ''\u0645\u0637\u0644\u0642 \u0642\u062f\u0631'' (magnitude)\u00a0 \u0627\u0648\u0631 \u0641\u0636\u0627 \u0645\u06cc\u06ba \u0627\u06cc\u06a9 ''\u0631\u064f\u062e'' (direction) \u0633\u06d2 \u062a\u0639\u0631\u06cc\u0641 \u06c1\u0648 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0633\u06cc \u0637\u0631\u062d \u0646\u0642\u0637\u06c1 \u202d''(x=c, y=d)''\u202c \u0633\u06d2 \u0646\u0642\u0637\u06c1 \u202d''(x=e, y=f)''\u202c \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u0646 \u06c1\u0679\u0627\u0624 \u0633\u0645\u062a\u06cc\u06c1 ''G'' \u06c1\u06d2\u060c\u00a0 \u062c\u0648 \u0633\u0645\u062a\u06cc\u06c1 ''V'' \u06a9\u0648 \u0633\u0645\u062a\u06cc\u06c1 ''W'' \u0645\u06cc\u06ba \u0633\u06d2 \u062a\u0641\u0631\u06cc\u0642 \u06a9\u0631 \u06a9\u06d2 \u062d\u0627\u0635\u0644 \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">G= W-V\u00a0 = </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix} e \\\\ f \\end{matrix}\\right] -</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix} c \\\\ d \\end{matrix}\\right] =</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix} e-c \\\\ f-d \\end{matrix}\\right] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0641\u0631\u0636 \u06a9\u0631\u0648 \u06a9\u06c1 \u06c1\u0645 \u0646\u0642\u0637\u06c1 \u202d''(x=a, y=b)''\u202c \u0633\u06d2 \u0646\u0642\u0637\u06c1 ''(x=c, y=d)'' \u06c1\u0679\u062a\u06d2 \u06c1\u06cc\u06ba\u00a0 (\u0633\u0645\u062a\u06cc\u06c1 ''R'' )\u060c \u0627\u0648\u0631 \u067e\u06be\u0631 \u0646\u0642\u0637\u06c1 ''(x=e, y=f)'' \u06a9\u06cc \u0637\u0631\u0641 \u06c1\u0679 \u062c\u0627\u062a\u06d2 \u06c1\u06cc\u06ba (\u0633\u0645\u062a\u06cc\u06c1 ''G'' )\u06d4 \u0627\u0628 \u06c1\u0645\u0627\u0631\u0627 \u06a9\u064f\u0644 \u06c1\u0679\u0627\u0624 \u0633\u0645\u062a\u06cc\u06c1 ''B'' \u06c1\u06d2 \u062c\u0648 \u06a9\u06c1 \u0633\u0645\u062a\u06cc\u06c1 ''R'' \u0627\u0648\u0631 \u0633\u0645\u06cc\u062a\u06c1 ''G'' \u06a9\u06cc \u062c\u0645\u0639 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">B= R + G\u00a0 = </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix} c-a \\\\ d-b \\end{matrix}\\right] -</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix} e-c \\\\ f-d \\end{matrix}\\right] =</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix} e-a \\\\ f-b \\end{matrix}\\right]\u00a0 = </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">W - U</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u063a\u0648\u0631 \u06a9\u0631\u0648 \u06a9\u06c1 \u0633\u0645\u062a\u06cc\u06c1 ''B'' \u0635\u0631\u0641 \u0627\u067e\u0646\u06d2 \u0634\u0631\u0648\u0639 \u0627\u0648\u0631 \u0622\u062e\u0631 \u06a9\u06d2 \u0646\u0642\u0627\u0637 \u0633\u06d2 \u0646\u06a9\u0644 \u0622\u062a\u0627 \u06c1\u06d2 (\"\u0633\u0641\u0631 \u06a9\u06cc \u0627\u0628\u062a\u062f\u0627\" \u0627\u0648\u0631 \"\u0622\u062e\u0631\u06cc \u0645\u0646\u0632\u0644\" \u0633\u06d2\u060c \u0627\u0648\u0631 \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc \u0645\u0646\u0627\u0632\u0644 \u0633\u06d2 \u0622\u0632\u0627\u062f \u06c1\u06d2)\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0628 \u0686\u0648\u0646\u06a9\u06c1 \u0633\u0645\u062a\u06cc\u06c1\u00a0 \u0627\u067e\u0646\u06cc \u0645\u0637\u0644\u0642 \u0642\u062f\u0631 \u0627\u0648\u0631 \u0631\u064f\u062e \u0633\u06d2 \u062a\u0639\u0631\u06cc\u0641 \u06c1\u0648 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u060c \u0627\u0633 \u0644\u06cc\u06d2 \u06a9\u0633\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0648 \u0627\u0633 \u06a9\u06d2 \u0645\u062a\u0648\u0627\u0632\u06cc \u06af\u06be\u0633\u06cc\u0679\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4 \u0634\u06a9\u0644 3 \u0645\u06cc\u06ba \u06c1\u0645 \u0646\u06d2\u00a0 \u0633\u0645\u062a\u06cc\u06c1\u00a0 ''R''\u060c ''B'' \u060c ''W'' \u060c \u06a9\u0648 \u06af\u06be\u0633\u06cc\u0679 \u06a9\u0631 \u0627\u0646 \u06a9\u06cc \u062f\u064f\u0645 \u06a9\u0648 \u0645\u0628\u062f\u0627\u0621 \u067e\u0631 \u0631\u06a9\u06be \u062f\u06cc\u0627 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0633\u0645\u062a\u06cc\u06c1 \u062a\u0641\u0631\u06cc\u0642: \u06c1\u0646\u062f\u0633\u06c1 </ins>===</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0628 \u06c1\u0646\u062f\u0633\u06c1 \u06a9\u06d2 \u0646\u0642\u0637\u06c2 \u0646\u0638\u0631 \u0633\u06d2 \u0633\u0645\u062a\u06cc\u06c1 \u062a\u0641\u0631\u06cc\u0642 \u067e\u0631 \u0646\u0638\u0631 \u0688\u0627\u0644\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0633\u0645\u062a\u06cc\u06c1 ''B'' \u0645\u06cc\u06ba \u0633\u06d2 ''R'' \u06a9\u0648 \u062a\u0641\u0631\u06cc\u0642 \u06a9\u0631 \u06a9\u06d2 \u0633\u0645\u062a\u06cc\u06c1\u00a0 ''G'' \u0645\u0644\u062a\u0627 \u06c1\u06d2\u060c ''G=B-R''\u00a0 \u06d4\u00a0 \u0627\u0633 \u06a9\u0627 \u0637\u0631\u06cc\u0642\u06c1 \u06cc\u0648\u06ba \u06c1\u0624\u0627 \u06a9\u06c1 ''B'' \u0627\u0648\u0631 ''R'' \u06a9\u06cc \u062f\u064f\u0645\u06cc\u06ba \u0645\u0644\u0627 \u062f\u0648\u060c \u0627\u0648\u0631 ''R'' \u06a9\u06d2 \u0633\u0631 \u0633\u06d2 ''B'' \u06a9\u06d2 \u0633\u0631 \u062a\u06a9 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0631\u0642 ''G''\u00a0 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0633\u0645\u062a\u06cc\u06c1 \u062c\u0645\u0639: \u06c1\u0646\u062f\u0633\u06c1 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0633\u06cc \u0637\u0631\u062d \u06c1\u0646\u062f\u0633\u06c1 \u06a9\u06d2 \u0646\u0642\u0637\u06c1 \u0646\u06af\u0627\u06c1 \u0633\u06d2 \u0633\u0645\u062a\u06cc\u06c1 \u062c\u0645\u0639 \u067e\u0631 \u0646\u0638\u0631 \u0688\u0627\u0644\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0633\u0645\u062a\u06cc\u06c1 ''R'' \u0627\u0648\u0631 ''G'' \u06a9\u0648 \u062c\u0645\u0639 \u06a9\u0631 \u06a9\u06d2 \u0633\u0645\u062a\u06cc\u06c1 ''B'' \u0645\u0644\u062a\u0627 \u06c1\u06d2\u060c\u00a0 ''B=R+G''\u00a0 \u06d4 \u0627\u0633 \u06a9\u0627 \u0637\u0631\u06cc\u0642\u06c1 \u06cc\u0648\u06ba \u06c1\u0624\u0627 \u06a9\u06c1 \u0633\u0645\u062a\u06cc\u06c1 ''G'' \u06a9\u06cc \u062f\u064f\u0645 \u0633\u0645\u062a\u06cc\u06c1 ''R'' \u06a9\u06d2 \u0633\u0631 \u06a9\u06d2 \u0633\u0627\u062a\u06be \u062c\u0648\u0691\u0648\u060c \u0627\u0648\u0631 \u067e\u06be\u0631 ''R'' \u06a9\u06cc \u062f\u064f\u0645 \u0633\u06d2 ''G'' \u06a9\u06d2 \u0633\u0631 \u062a\u06a9 \u0633\u0645\u062a\u06cc\u06c1 \u062c\u0645\u0639 ''B'' \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==\u0645\u062b\u0627\u0644\u00a0 &lt;math&gt; \\mathbb{R}^n &lt;/math&gt;==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0628\u0639\u06cc\u0646\u06c1 &lt;math&gt; \\mathbb{R}^n &lt;/math&gt; \u0641\u0636\u0627 \u0645\u06cc\u06ba \u0646\u0642\u0637\u0648\u06ba \u06a9\u0648 \u0628\u0637\u0648\u0631 &lt;math&gt;\\ n \\times 1&lt;/math&gt; \u0645\u0635\u0641\u0648\u0641\u06c1 \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u060c \u0627\u0648\u0631 \u06cc\u06c1 \u0646\u06a9\u062a\u06d2 \u0627\u06cc\u06a9 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627\u0621 \u0628\u0646\u0627\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 (\u06cc\u0627\u062f \u0631\u06c1\u06d2 \u06a9\u06c1 \u0628\u0639\u0636 \u0627\u0648\u0642\u0627\u062a \u0646\u0642\u0627\u0637 \u06a9\u0648 \u0628\u062c\u0627\u0626\u06d2 &lt;math&gt;\\ n \\times 1&lt;/math&gt; \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06d2 \u0627\u06cc\u06a9 &lt;math&gt;\\ 1 \\times n&lt;/math&gt; \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06d2 \u0628\u0637\u0648\u0631 \u0628\u06be\u06cc \u0644\u06a9\u06be\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4) \u0627\u06cc\u06a9 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0648 \u06cc\u0648\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627\u0626\u06d2 \u06af\u0627:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">X = \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">x_0 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">x_1 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\vdots \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">x_{n-1}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]\\,\\,,\\, x_k \\in \\mathbb{R}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0645\u062b\u0627\u0644 \u06a9\u06d2 \u0637\u0648\u0631 \u067e\u0631\u00a0 \u062a\u06cc\u0646 \u0631\u064f\u062e\u06cc \u0645\u0633\u062a\u0637\u06cc\u0644 \u0641\u0636\u0627 \u0645\u06cc\u06ba \u06a9\u0633\u06cc \u062c\u0633\u0645 \u06a9\u0627 \u0645\u0642\u0627\u0645 \u062a\u06cc\u0646 \u067e\u06cc\u0645\u0627\u0626\u06cc\u0634\u0648\u06ba ''z''\u060c ''y'' \u060c''x''\u060c \u0633\u06d2 \u062f\u06cc\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u060c \u0627\u0648\u0631 \u0627\u0633 \u0637\u0631\u062d \u0627\u0633 \u062c\u0633\u0645 \u06a9\u06cc [</ins>[:<ins class=\"diffchange diffchange-inline\">W:ur:\u0633\u0645\u062a\u0627\u0631|\u0633\u0645\u062a\u0627\u0631]] \u0628\u06be\u06cc \u062a\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f \u0633\u06d2 \u062f\u06cc \u062c\u0627 \u0633\u06a9\u062a\u06cc \u06c1\u06d2\u06d4 \u0627\u0633 \u0637\u0631\u062d \u0648\u0642\u062a ''k'' \u067e\u0631 \u062c\u0633\u0645 \u06a9\u06d2 \u0645\u0642\u0627\u0645 \u0627\u0648\u0631 \u0633\u0645\u062a\u0627\u0631 \u067e\u0631 \u0645\u0628\u0646\u06cc 6 \u0631\u064f\u062e\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u06cc\u0648\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">X_k = \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">x \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">y \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">z \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">v_x \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">v_y \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">v_z</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">== \u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u06cc\u0633\u06d2 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u0645\u062c\u0645\u0648\u0639\u06c1\u060c \u062c\u0646 \u06a9\u06d2 [[:W:ur:\u0644\u06a9\u06cc\u0631\u06cc \u062a\u0648\u0644\u06cc\u0641|\u0644\u06a9\u06cc\u0631\u06cc \u062a\u0648\u0644\u06cc\u0641]] \u0633\u06d2 \u0641\u0636\u0627 \u06a9\u0627 \u06a9\u0648\u0626\u06cc \u0628\u06be\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u0628\u0646 \u062c\u0627\u062a\u0627 \u06c1\u0648\u060c \u0627\u0633 \u0641\u0636\u0627\u0621 \u06a9\u06d2 \u0644\u06cc\u06d2 ''\u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1'' (spanning vectors) \u06a9\u0627 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u06c1\u0644\u0627\u062a\u0627 \u06c1\u06d2 (\u0644\u0641\u0638 \u0639\u0628\u0631\u06cc \u06a9\u0627 \u0645\u0627\u062e\u0630 \u0639\u0628\u0648\u0631 \u06c1\u06d2)\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;table align=\"left\"&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 &lt;caption&gt;\u0634\u06a9\u0644 4&lt;</ins>/<ins class=\"diffchange diffchange-inline\">caption&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;[[Image:LinAlgebra_Simtia_basis_r2</ins>.<ins class=\"diffchange diffchange-inline\">png]]&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 &lt;/tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/table&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0634\u06a9\u0644 4 \u0645\u06cc\u06ba &lt;math&gt;\\mathbb{R}^2&lt;/math&gt; \u06a9\u0627 \u0645\u0633\u062a\u0648\u06cc \u062f\u06a9\u06be\u0627\u06cc\u0627 \u06af\u06cc\u0627 \u06c1\u06d2\u06d4 \u0633\u0631\u062e \u0645\u062d\u0648\u0631 \u067e\u0631 \u0648\u0627\u0642\u0639\u06c1 \u0633\u0645\u062a\u06cc\u06c1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;e_0=\\left[\\begin{matrix}1 \\\\ 0 \\end{matrix}\\right]&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0648\u0631</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;e_1=\\left[\\begin{matrix}0 \\\\ 1 \\end{matrix}\\right]&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">(\u0634\u06a9\u0644 4 \u0645\u06cc\u06ba \u0633\u0631\u062e \u0646\u0642\u0627\u0637) &lt;math&gt;\\mathbb{R}^2&lt;/math&gt; \u06a9\u06d2 \u0642\u062f\u0631\u062a\u06cc \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06c1\u0644\u0627\u062a\u06d2 \u06c1\u06cc\u06ba\u060c \u06a9\u06cc\u0648\u0646\u06a9\u06c1\u00a0 &lt;math&gt;\\mathbb{R}^2&lt;/math&gt; \u0641\u0636\u0627\u0621 \u06a9\u0627 \u06a9\u0648\u0626\u06cc \u0628\u06be\u06cc \u0646\u0642\u0637\u06c1 \u0627\u0646 \u062f\u0648 \u0633\u0645\u062a\u06cc\u0648\u06ba \u06a9\u06d2 \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0648\u0644\u06cc\u0641 \u06a9\u06d2 \u0637\u0648\u0631 \u067e\u0631 \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4 \u0645\u062b\u0644\u0627\u064b \u0646\u0642\u0637\u06c1\u202d''(x,y)''\u202c\u00a0 \u06cc\u0648\u06ba \u0644\u06a9\u06be \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\left[\\begin{matrix}x \\\\ y \\end{matrix}\\right] = x e_0 + y e_1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u063a\u0648\u0631 \u06a9\u0631\u0648 \u06a9\u06c1 \u0633\u0631\u062e \u0645\u062d\u0648\u0631 \u06a9\u06d2 \u0628\u062c\u0627\u0626\u06d2 \u06c1\u0645 \u0633\u0628\u0632 \u0645\u062d\u0648\u0631 \u0628\u06be\u06cc \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631 \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0627\u0633 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0634\u06a9\u0644 4 \u0645\u06cc\u06ba \u0633\u0628\u0632 \u0646\u0642\u0637\u0648\u06ba \u0633\u06d2 \u062f\u0648 \u0633\u0645\u062a\u06cc\u06c1 \u062f\u06a9\u06be\u0627\u0626\u06d2 \u06af\u0626\u06d2 \u06c1\u06cc\u06ba\u060c \u062c\u0648 (\u0633\u0631\u062e \u0645\u062d\u0648\u0631 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2) \u06cc\u0648\u06ba \u06c1\u06cc\u06ba:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;v_0=\\left[\\begin{matrix}1/\\sqrt{2} \\\\ 1/\\sqrt{2} \\end{matrix}\\right]&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0648\u0631</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;v_1=\\left[\\begin{matrix}-1/\\sqrt{2} \\\\ 1</ins>/<ins class=\"diffchange diffchange-inline\">\\sqrt{2} \\end{matrix}\\right]&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0628 \u0646\u0642\u0637\u06c1 \u202d''(x,y)''\u202c \u06a9\u0648 \u0627\u0646 \u0633\u0628\u0632 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0648\u0644\u06cc\u0641 \u06a9\u06d2 \u0637\u0648\u0631 \u067e\u0631 \u06cc\u0648\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\left[\\begin{matrix}x \\\\ y \\end{matrix}\\right] = a v_0 + b v_1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">= a \\left[\\begin{matrix}\\frac{1}{\\sqrt{2}} \\\\ \\frac{1}{\\sqrt{2}} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">+ b \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">-\\frac{1}{\\sqrt{2}} \\\\ \\frac{1}{\\sqrt{2}}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06cc\u0639\u0646\u06cc \u0633\u0631\u062e \u0645\u062d\u0648\u0631 \u06a9\u06d2 \u0646\u0642\u0637\u06c1 \u202d''(x,y)'' \u202c \u06a9\u0648 \u0633\u0628\u0632 \u0645\u062d\u0648\u0631 \u0645\u06cc\u06ba \u0646\u0642\u0637\u06c1 \u202d''(a,b)''\u202c \u06a9\u06c1\u0627 \u062c\u0627\u0626\u06d2 \u06af\u0627\u06d4 \u062f\u0648\u0633\u0631\u06d2 \u0627\u0644\u0641\u0627\u0638 \u0645\u06cc\u06ba \u062c\u0648 \u0646\u0642\u0637\u06c1 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u202d''e0, e1'' \u202c \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u202d''(x=0.8, y=1.4)''\u202c \u062a\u06be\u0627\u060c \u0648\u06c1\u06cc \u0646\u0642\u0637\u06c1 \u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u202d''v0, v1'' \u202c \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u202d''(a=1.56, b=0.42)''\u202c \u06a9\u06c1\u0644\u0627\u0626\u06d2 \u06af\u0627\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0628 \u202d''e0, e1, v0, v1''\u202c \u0628\u06be\u06cc \u0627\u06cc\u06a9 \u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06c1\u06d2\u06d4 \u0627\u0633 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u06cc \u0645\u062f\u062f \u0633\u06d2 \u06c1\u0645 \u0627\u0633\u06cc \u202d''(x=0.8, y=1.4)'' \u202c \u0646\u0642\u0637\u06c1 \u06a9\u0648 \u0644\u06a9\u06be \u06a9\u0631 \u062f\u06cc\u06a9\u06be\u062a\u06d2 \u06c1\u06cc\u06ba</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">0.8 \\\\ 1.4 \\end{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\right] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">= c_0 e_0 + c_1 e_1 + c_2 v_0 + c_3 v_1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">= c_0 \\left[\\begin{matrix}1 \\\\ 0 \\end{matrix}\\right]\u00a0 +</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_1 \\left[\\begin{matrix}0 \\\\ 1 \\end{matrix}\\right]\u00a0 +</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_2 \\left[\\begin{matrix}\\frac{1}{\\sqrt{2}} \\\\ \\frac{1}{\\sqrt{2}} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right] +</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_3 \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">-\\frac{1}{\\sqrt{2}} \\\\ \\frac{1}{\\sqrt{2}}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06cc\u0627</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">1 &amp; 0 &amp; \\frac{1}{\\sqrt{2}} &amp; -\\frac{1}{\\sqrt{2}} \\\\ </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">0 &amp; 1 &amp; \\frac{1}{\\sqrt{2}} &amp; \\frac{1}{\\sqrt{2}} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_0 \\\\ c_1 \\\\ c_2 \\\\ c_3 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right] =</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix}0.8 \\\\ 1.4 \\end{matrix}\\right</ins>] \u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u063a\u0648\u0631 \u06a9\u0631\u0648 \u06a9\u06c1 \u0627\u0633 \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06d2 \u0633\u062a\u0648\u0646 \u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u06c1\u06cc\u06ba\u060c \u0627\u0648\u0631 \u06c1\u0645\u06cc\u06ba \u06cc\u06c1 [</ins>[:<ins class=\"diffchange diffchange-inline\">W:ur:\u06cc\u06a9\u0644\u062e\u062a \u0644\u06a9\u06cc\u0631\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0627 \u0646\u0638\u0627\u0645|\u06cc\u06a9\u0644\u062e\u062a \u0644\u06a9\u06cc\u0631\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0627 \u0646\u0638\u0627\u0645]] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt; \\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_0 + \\frac{1}{\\sqrt{2}} c_2\u00a0  - \\frac{1}{\\sqrt{2}} c_3\u00a0 &amp;=&amp; 0.8 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_1 + \\frac{1}{\\sqrt{2}} c_2\u00a0 + \\frac{1}{\\sqrt{2}} c_3\u00a0 &amp;=&amp; 1.4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u062d\u0644 \u06a9\u0631 \u06a9\u06d2 \u202d''c0, c1, c2, c3''\u202c \u0646\u06a9\u0627\u0644\u0646\u0627 \u06c1\u06cc\u06ba\u06d4 \u0627\u0628 \u0686\u0648\u0646\u06a9\u06c1 \u0645\u0633\u0627\u0648\u0627\u062a \u0635\u0631\u0641 \u062f\u0648 \u06c1\u06cc\u06ba \u062c\u0628\u06a9\u06c1 \u0645\u062a\u063a\u06cc\u0631 \u0686\u0627\u0631\u060c \u0627\u0633 \u0644\u06cc\u06d2 \u06c1\u0645 \u06a9\u0633\u06cc \u0628\u06be\u06cc \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u06a9\u0648 \u0627\u067e\u0646\u06cc \u0645\u0631\u0636\u06cc \u06a9\u06cc \u0642\u062f\u0631 \u062f\u06d2 \u06a9\u0631 \u0628\u0627\u0642\u06cc \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u06a9\u06cc \u0642\u06cc\u0645\u062a\u06cc\u06ba \u0645\u0633\u0627\u0648\u0627\u062a \u0633\u06d2 \u0646\u06a9\u0627\u0644 \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u062f\u0648\u0633\u0631\u06d2 \u0627\u0644\u0641\u0627\u0638 \u0645\u06cc\u06ba \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u06d2 \u0644\u0627\u0645\u062a\u0646\u0627\u06c1\u06cc \u062d\u0644 \u06c1\u06cc\u06ba\u060c \u062c\u0646 \u0645\u06cc\u06ba \u0633\u06d2 \u0686\u0646\u062f \u06cc\u06c1 \u06c1\u06cc\u06ba:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u202d&lt;table\u00a0 border=\"1\" cellpadding=\".1\"&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 &lt;caption&gt;Possible representations of (x,y)\u00a0 w.r.t. spanning vectors e0, e1, v0, v1&lt;/caption&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;c0&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;c1&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;c2&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;c3&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 &lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt; 0.5&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt; 0.5&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt; 0.85&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt; 0.42&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 &lt;/tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 &lt;tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;0.1&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt; 0.7&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;1.0 &lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;0 &lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 &lt;/tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 &lt;tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;2&lt;</ins>/<ins class=\"diffchange diffchange-inline\">td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;\u200e-3&lt;</ins>/<ins class=\"diffchange diffchange-inline\">td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;2</ins>.<ins class=\"diffchange diffchange-inline\">26&lt;/td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 &lt;td&gt;3</ins>.<ins class=\"diffchange diffchange-inline\">96&lt;</ins>/<ins class=\"diffchange diffchange-inline\">td&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 &lt;</ins>/<ins class=\"diffchange diffchange-inline\">tr&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0  &lt;/table&gt;\u202c</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0633 \u0633\u06d2 \u067e\u062a\u06c1 \u0686\u0644\u0627 \u06a9\u06c1 \u0639\u0628\u0631\u06cc\u00a0 \u0633\u0645\u062a\u06cc\u06c1\u202d''e0, e1, v0, v1''\u202c\u00a0 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06c1 \u0633\u06d2 \u0646\u0642\u0627\u0637 \u06a9\u0627 \u0627\u06cc\u06a9 \u0648\u0627\u062d\u062f\u00a0 \u0631\u0648\u067e \u0646\u06c1\u06cc\u06ba\u06d4 \u0634\u06a9\u0644 4 \u0633\u06d2 \u0638\u0627\u06c1\u0631 \u06c1\u06d2 \u06a9\u06c1 &lt;math&gt;\\mathbb{R}^2&lt;/math&gt; \u0645\u06cc\u06ba \u06a9\u0648\u0626\u06cc \u0628\u06be\u06cc \u062f\u0648 \u0633\u0645\u062a\u06cc\u06c1 \u062c\u0648 \u0622\u067e\u0633 \u0645\u06cc\u06ba \u0645\u062a\u0648\u0627\u0632\u06cc \u0646\u06c1 \u06c1\u0648\u06ba\u060c \u0646\u06a9\u0627\u062a \u06a9\u0627 \u0648\u0627\u062d\u062f \u0631\u0648\u067e \u0646\u06a9\u0627\u0644\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06a9\u0627\u0641\u06cc \u06c1\u06cc\u06ba\u06d4 &lt;math&gt;\\mathbb{R}^2&lt;/math&gt; \u0645\u06cc\u06ba \u062f\u0648 \u0633\u06d2 \u0632\u06cc\u0627\u062f\u06c1 \u0633\u0645\u062a\u06cc\u06c1 \u0686\u0646\u0646\u06d2 \u0633\u06d2 \u0627\u06cc\u06a9 \u06c1\u06cc \u0646\u0642\u0637\u06c1 \u06a9\u06d2 \u0628\u06c1\u062a \u0633\u06d2 \u0631\u0648\u067e \u0645\u0645\u06a9\u0646 \u06c1\u0648 \u062c\u0627\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u06cc\u06c1 \u0628\u0627\u062a \u06c1\u0645\u06cc\u06ba \u0627\u06af\u0644\u06d2 \u0645\u0648\u0636\u0648\u0639 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06cc \u0637\u0631\u0641 \u0644\u06d2 \u062c\u0627\u062a\u06cc \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==\u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u062c\u06cc\u0633\u0627 \u06a9\u06c1 \u0627\u0648\u067e\u0631 \u0628\u06cc\u0627\u0646 \u06c1\u0624\u0627 \u06a9\u06c1 \u0627\u06cc\u0633\u06d2 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u0645\u062c\u0645\u0648\u0639\u06c1 &lt;math&gt;v_0, v_1, \\cdots, v_{n-1}&lt;/math&gt; \u062c\u0646 \u06a9\u06d2 \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0648\u0644\u06cc\u0641 (linear combination) \u0633\u06d2 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627\u0621 \u06a9\u0627 \u06a9\u0648\u0626\u06cc \u0628\u06be\u06cc \u0633\u0645\u062a\u06cc\u06c1 &lt;math&gt;v&lt;/math&gt; \u06cc\u0648\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u06d2</ins>: <ins class=\"diffchange diffchange-inline\">\u00a0 &lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;v= c_0 v_0 + c_1 v_1 + \\cdots + c_{n-1} v_{n-1}&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u06cc\u0633\u06d2 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u0648 ''\u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1'' \u06a9\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u060c \u0627\u0648\u0631 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\begin{matrix}c_0, c_1, \\cdots, c_{n-1}\\end{matrix}&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06a9\u0648 \u0627\u0646 \u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06d2 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0633\u0645\u062a\u06cc\u06c1 &lt;math&gt;v&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06a9\u06cc ''\u0635\u0648\u0631\u062a'' (representation) \u06a9\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4\u00a0 \u06c1\u0645 \u0646\u06d2 \u062f\u06cc\u06a9\u06be\u0627 \u06a9\u06c1 \u0627\u06cc\u0633\u0627 \u0645\u0645\u06a9\u0646 \u06c1\u0648 \u0633\u06a9\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u06a9\u0633\u06cc \u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06c1 \u0633\u06d2 \u0627\u06cc\u06a9 \u06c1\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06cc \u0627\u06cc\u06a9 \u0633\u06d2 \u0632\u06cc\u0627\u062f\u06c1 \u0635\u0648\u0631\u062a\u06cc\u06ba \u0645\u0645\u06a9\u0646 \u06c1\u0648\u06ba\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 (\u062a\u0639\u0631\u06cc\u0641)===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u0627\u06cc\u0633\u0627 \u0645\u062c\u0645\u0648\u0639\u06c1 \u062c\u0633 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06c1 \u0633\u06d2 \u0641\u0636\u0627\u0621 \u06a9\u06d2 \u06a9\u0633\u06cc \u0628\u06be\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06cc \u0635\u0631\u0641 \u0627\u06cc\u06a9 \u0648\u0627\u062d\u062f \u0635\u0648\u0631\u062a \u0645\u0645\u06a9\u0646 \u06c1\u0648\u060c \u0627\u06cc\u0633\u06d2 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u0648 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627\u0621 \u06a9\u0627 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 (basis vectors) \u06a9\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0645\u0633\u0644\u0626\u06c1 \u0627\u062b\u0628\u0627\u062a\u06cc (\u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06cc \u0644\u06a9\u06cc\u0631\u06cc \u0622\u0632\u0627\u062f\u06cc)===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u06d2 \u062a\u0645\u0627\u0645 \u0633\u0645\u062a\u06cc\u06c1 \u0622\u067e\u0633 \u0645\u06cc\u06ba \u0628\u0627\u06c1\u0645\u06cc [[:W:ur</ins>:<ins class=\"diffchange diffchange-inline\">\u0644\u06a9\u06cc\u0631\u06cc \u0622\u0632\u0627\u062f\u06cc|\u0644\u06a9\u06cc\u0631\u06cc \u0622\u0632\u0627\u062f]] \u06c1\u0648\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u06cc\u0639\u0646\u06cc \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 \u0645\u06cc\u06ba \u0633\u06d2 \u06a9\u0633\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0648 \u0628\u0627\u0642\u06cc \u0645\u0627\u0646\u062f\u06c1 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u0644\u06a9\u06cc\u0631\u06cc \u062c\u0648\u0691 \u06a9\u06d2 \u0637\u0648\u0631 \u067e\u0631 \u0646\u06c1\u06cc\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627\u06d4 \u062f\u0648\u0633\u0631\u06d2 \u0627\u0644\u0641\u0627\u0638 \u0645\u06cc\u06ba \u0627\u06af\u0631\u00a0 &lt;math&gt;v_0, v_1, \\cdots, v_{n-1}&lt;/math&gt; \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06c1\u06d2\u060c \u062a\u0648 \u062f\u0631\u062c \u0632\u06cc\u0644 \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0627 \u06a9\u0648\u0626\u06cc \u062d\u0644 \u0645\u0645\u06a9\u0646 \u0646\u06c1\u06cc\u06ba &lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;c_0 v_0 + c_1 v_1 + \\cdots + c_{n-1} v_{n-1} = 0&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06cc\u0639\u0646\u06cc \u0627\u06cc\u0633\u06d2 \u06a9\u0648\u0626\u06cc &lt;math&gt;\\begin{matrix}c_0, c_1, \\cdots, c_{n-1}\\end{matrix}&lt;/math&gt; \u0646\u06c1\u06cc\u06ba \u062c\u0648 \u06a9\u06c1 \u0627\u0633 \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u06cc \u062a\u0633\u06a9\u06cc\u0646 \u06a9\u0631 \u0633\u06a9\u06cc\u06ba\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===&lt;math&gt;\\mathbb{R}^n&lt;/math&gt; \u0645\u06cc\u06ba \u0642\u062f\u0631\u062a\u06cc \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\mathbb{R}^n&lt;/math&gt; \u0645\u06cc\u06ba \u0646\u06cc\u0686\u06d2 \u062f\u06cc\u06d2 \u0642\u0627\u0626\u0645 \u0627\u0644\u0632\u0627\u0648\u06cc\u06c1 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u0648\u00a0 &lt;math&gt;\\mathbb{R}^n&lt;/math&gt; \u06a9\u0627 ''\u0642\u062f\u0631\u062a\u06cc \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1'' (\u0645\u062c\u0645\u0648\u0639\u06c1) \u06a9\u06c1\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">e_0 = \\left[\\begin{matrix}1 \\\\ 0 \\\\ \\vdots \\\\ 0 \\end{matrix}\\right</ins>]<ins class=\"diffchange diffchange-inline\">, </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">e_1 = \\left[\\begin{matrix}0 \\\\ 1 \\\\ \\vdots \\\\ 0 \\end{matrix}\\right],</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\cdots ,</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">e_{n-1} = \\left[\\begin{matrix}0 \\\\ 0 \\\\ \\vdots \\\\ 1 \\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0645\u062b\u0627\u0644 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0634\u06a9\u0644 4 \u0645\u06cc\u06ba &lt;math&gt;\\mathbb{R}^2&lt;/math&gt; \u06a9\u06d2 \u0644\u06cc\u06d2 \u06cc\u06c1 \u062c\u0648\u0691\u06d2 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u06a9\u0631\u062f\u0627\u0631 \u0627\u062f\u0627 \u06a9\u0631 \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># e0, e1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># e0, v0</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># e0, v1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># e1, v0</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># e1, v1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06cc\u0639\u0646\u06cc \u06a9\u0648\u0626\u06cc \u0628\u06be\u06cc \u062f\u0648 \u0627\u06cc\u0633\u06d2 \u0633\u0645\u062a\u06cc\u06c1 \u062c\u0648 \u0622\u067e\u0633 \u0645\u06cc\u06ba \u0645\u062a\u0648\u0627\u0632\u06cc \u0646\u06c1 \u06c1\u0648\u06ba\u060c \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u06a9\u0631\u062f\u0627\u0631 \u0627\u062f\u0627 \u06a9\u0631 \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 (\u0645\u0646\u0641\u0631\u062f) \u0635\u0648\u0631\u062a\u00a0 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0641\u0631\u0636 \u06a9\u0631\u0648 \u06a9\u06c1 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 ''V'' \u06a9\u06d2\u00a0  \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u0627\u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639\u06c1 &lt;math&gt;v_0, v_1, ..., v_{n-1}&lt;/math&gt; \u06c1\u06d2 (\u0627\u0646 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06cc \u062a\u0639\u062f\u0627\u062f ''n''\u00a0 \u06c1\u06d2)\u06d4 \u0627\u0628 ''V'' \u06a9\u06d2 \u06a9\u0633\u06cc \u0628\u06be\u06cc \u0633\u0645\u062a\u06cc\u06c1 ''v'' \u06a9\u0648 \u0627\u0646 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0648\u0644\u06cc\u0641 \u06a9\u06d2 \u0637\u0648\u0631 \u067e\u0631 \u06cc\u0648\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;v = c_0 v_0 + c_1 v_1 + ... + c_{n-1} v_{n-1}&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06af\u0648\u06cc\u0627 \u0627\u0633 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0633\u0645\u062a\u06cc\u06c1 ''v'' \u06a9\u06cc \u0635\u0648\u0631\u062a \u06a9\u0648 &lt;math&gt;\\mathbb{R}^n&lt;/math&gt; \u06a9\u06d2 \u0627\u06cc\u06a9 \u0631\u06a9\u0646 \u06a9\u06d2 \u0628\u0637\u0648\u0631 \u06cc\u0648\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;c=\\left[\\begin{matrix} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_0 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_1 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\vdots \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_{n-1}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===&lt;math&gt;\\mathbb{R}^n&lt;/math&gt; \u06a9\u06d2 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0635\u0648\u0631\u062a \u0646\u06a9\u0627\u0644\u0646\u06d2 \u06a9\u0627 \u0637\u0631\u06cc\u0642\u06c1 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\mathbb{R}^n&lt;/math&gt; \u0645\u06cc\u06ba \u062f\u06cc\u06d2 \u06af\u0626\u06d2 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u06a9\u0633\u06cc \u0633\u0645\u062a\u06cc\u06c1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;X= </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix} x_0 \\\\ x_1 \\\\ \\vdots \\\\ x_{n-1}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06a9\u06cc \u0635\u0648\u0631\u062a \u0646\u06a9\u0627\u0644\u0646\u06d2 \u06a9\u0627 \u0637\u0631\u06cc\u0642\u06c1 \u06cc\u06c1 \u06c1\u06d2\u06d4 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u0645\u062c\u0645\u0648\u0639\u06c1 &lt;math&gt;v_0, v_1, \\cdots, v_{n-1}&lt;/math&gt; \u06a9\u0648 \u0645\u0635\u0641\u0648\u0641\u06c1 \u0635\u0648\u0631\u062a \u0645\u06cc\u06ba \u0644\u06a9\u06be\u0648\u060c \u06cc\u0639\u0646\u06cc \u0627\u06cc\u0633\u06cc \u0645\u0635\u0641\u0648\u0641\u06c1 \u062c\u0633 \u06a9\u0627 \u06c1\u0631 \u0633\u062a\u0648\u0646 \u0627\u06cc\u06a9 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06c1\u0648:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">V= \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">v_0 \\, v_1 \\cdots v_{n-1}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u062c\u0633\u06d2 \u0632\u06cc\u0627\u062f\u06c1 \u062a\u0641\u0635\u06cc\u0644 \u0645\u06cc\u06ba \u06cc\u0648\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2 (\u06c1\u0631 \u0633\u062a\u0648\u0646 \u0627\u06cc\u06a9 \u0633\u0645\u062a\u06cc\u06c1 \u06c1\u06d2)</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">V= \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">v_{0,0} &amp; v_{1,0} &amp; \\cdots &amp; v_{n-1,0} \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">v_{0,1} &amp; v_{1,1} &amp; \\cdots &amp; v_{n-1,1} \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\vdots\u00a0 \u00a0 &amp; \\vdots\u00a0 \u00a0 &amp; \\cdots &amp; \\vdots \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">v_{0,n-1} &amp; v_{1,n-1} &amp; \\cdots &amp; v_{n-1,n-1} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0628 \u062f\u0631\u062c \u0630\u06cc\u0644 \u06cc\u06a9\u0644\u062e\u062a \u0644\u06a9\u06cc\u0631\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0627 \u0646\u0638\u0627\u0645\u00a0 \u06a9\u0627 \u062d\u0644 \u0646\u06a9\u0627\u0644\u0648 &lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">V\u00a0 \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_0 \\\\ c_1 \\\\ \\vdots \\\\ c_{n-1}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right] = X</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06cc\u06c1 \u062d\u0644 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\begin{matrix}c_0, c_1, \\cdots, c_{n-1}\\end{matrix}&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0646 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0633\u0645\u062a\u06cc\u06c1 ''X'' \u06a9\u06cc ''\u0635\u0648\u0631\u062a'' (representation)\u00a0 \u06c1\u0648 \u06af\u0627\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0642\u0627\u0626\u0645 \u0627\u0644\u0632\u0627\u0648\u06cc\u06c1 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u06cc\u0633\u06d2 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u0645\u062c\u0645\u0648\u0639\u06c1 &lt;math&gt;v_0, v_1, \\cdots, v_{n-1}&lt;/math&gt;\u00a0 \u062c\u0633 \u0645\u06cc\u06ba \u0634\u0627\u0645\u0644 \u062a\u0645\u0627\u0645 \u0633\u0645\u062a\u06cc\u06c1 \u0622\u067e\u0633 \u0645\u06cc\u06ba [[:W:ur:\u0642\u0627\u0626\u0645 \u0627\u0644\u0632\u0627\u0648\u06cc\u06c1 (\u0645\u06cc\u0679\u0631\u06a9\u0633)|\u0642\u0627\u0626\u0645 \u0627\u0644\u0632\u0627\u0648\u06cc\u06c1]] \u06c1\u0648\u06ba\u060c \u0627\u06cc\u0633\u06d2 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u0648 \u0642\u0627\u0626\u0645 \u0627\u0644\u0632\u0627\u0648\u06cc\u06c1 (orthogonal) \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u06c1\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u06cc\u0639\u0646\u06cc </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:&lt;math&gt;v_{i}^t v_{j} = 0 \\,,\\, i \\ne j&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:&lt;math&gt;v_{i}^t v_{i} = 1 &lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u062f\u0648\u0633\u0631\u06d2 \u0627\u0644\u0641\u0627\u0638 \u0645\u06cc\u06ba \u0642\u0627\u0626\u0645 \u0627\u0644\u0632\u0627\u0648\u06cc\u06c1 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06cc \u0645\u0635\u0641\u0648\u0641\u06c1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;V=[v_0 \\, v1 \\cdots v_{n-1}]&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06a9\u06d2 \u0644\u06cc\u06d2 \u0636\u0631\u0648\u0631\u06cc \u06c1\u06d2 \u06a9\u06c1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;V^t V = I&lt;/math&gt; \u062c\u06c1\u0627\u06ba ''I'' [[:W:ur:\u0634\u0646\u0627\u062e\u062a \u0645\u06cc\u0679\u0631\u06a9\u0633|\u0634\u0646\u0627\u062e\u062a \u0645\u0635\u0641\u0648\u0641\u06c1]] \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0634\u06a9\u0644 4 \u0645\u06cc\u06ba \u06cc\u06c1 \u062c\u0648\u0691\u06d2 (\u062c\u0648 \u06a9\u06c1 \u0622\u067e\u0633 \u0645\u06cc\u06ba \u0646\u0648\u06d2 \u062f\u0631\u062c\u06c1 \u06a9\u06d2 \u0632\u0627\u0648\u06cc\u06c1 \u067e\u0631 \u06c1\u06cc\u06ba) \u0642\u0627\u0626\u0645 \u0627\u0644\u0632\u0627\u0648\u06cc\u06c1 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0627 \u062c\u0648\u0691\u0627 \u0628\u0646\u0627\u062a\u06d2 \u06c1\u06cc\u06ba:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># e0, e1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># v0, v1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06cc\u0639\u0646\u06cc &lt;math&gt;\\mathbb{R}^2&lt;/math&gt;\u00a0 \u0645\u06cc\u06ba\u00a0 \u0642\u062f\u0631\u062a\u06cc \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 ''e0, e1'' \u06a9\u06cc \u0645\u0635\u0641\u0648\u0641\u06c1 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"> 1 &amp; 0 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"> 0 &amp; 1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0642\u0627\u0626\u0645 \u0627\u0644\u0632\u0627\u0648\u06cc\u06c1 (\u0645\u0635\u0641\u0648\u0641\u06c1)\u00a0 \u06c1\u06d2\u06d4 \u0627\u0633\u06cc \u0637\u0631\u062d &lt;math&gt;\\mathbb{R}^2&lt;/math&gt; \u0645\u06cc\u06ba \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 ''v0, v1'' \u06a9\u06cc \u0645\u0635\u0641\u0648\u0641\u06c1 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;V= \\left</ins>[ <ins class=\"diffchange diffchange-inline\">\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\frac{1}{\\sqrt{2}} &amp; -\\frac{1}{\\sqrt{2}} \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\frac{1}{\\sqrt{2}} &amp;\u00a0 \\frac{1}{\\sqrt{2}}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0642\u0627\u0626\u0645 \u0627\u0644\u0632\u0627\u0648\u06cc\u06c1 \u0645\u0635\u0641\u0648\u0641\u06c1\u00a0 \u06c1\u06d2\u06d4 \u06cc\u0639\u0646\u06cc</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;V^t V = I&lt;/math&gt; \u062c\u06c1\u0627\u06ba ''I'' \u0634\u0646\u0627\u062e\u062a \u0645\u0635\u0641\u0648\u0641\u06c1 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0648\u067e\u0631 \u06c1\u0645 \u0646\u06d2 \"\u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0635\u0648\u0631\u062a \u0646\u06a9\u0627\u0644\u0646\u06d2 \u06a9\u0627 \u0637\u0631\u06cc\u0642\u06c1\" \u062f\u06cc\u06a9\u06be\u0627\u06d4 \u0642\u0627\u0626\u0645 \u0627\u0644\u0632\u0627\u0648\u06cc\u06c1 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06cc \u0635\u0648\u0631\u062a \u0645\u06cc\u06ba &lt;math&gt;c_0&lt;/math&gt; \u06a9\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \u06cc\u0648\u06ba \u0628\u0646\u062a\u06cc \u06c1\u06d2</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_0 =X^t v_0= x_0 v_{0,0} + x_1 v_{0,1} + ... + x_{n-1} v_{0,n-1}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u062f\u0648\u0633\u0631\u06d2 \u0627\u0644\u0641\u0627\u0638 \u0645\u06cc\u06ba \u0646\u0642\u0637\u06c1 (\u0633\u0645\u062a\u06cc\u06c1) ''X'' \u06a9\u06cc \u0633\u0645\u062a\u06cc\u06c1 &lt;math&gt;v_0&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u067e\u0631 \u0645\u0633\u0642\u0637 (projection) &lt;math&gt;c_0&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u062a\u0628\u062f\u06cc\u0644\u06cc \u0627\u0632 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u06af\u0631 \u0627\u06cc\u06a9 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u06a9\u0627 \u0627\u06cc\u06a9 \"\u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1\" \u0645\u062c\u0645\u0648\u0639\u06c1&lt;math&gt;\\ \\{ v_0, v_1, </ins>..<ins class=\"diffchange diffchange-inline\">., v_{n-1} \\}&lt;/math&gt; \u06c1\u0648\u06d4 \u0627\u0648\u0631 \u0627\u0633 \u0641\u0636\u0627 \u0645\u06cc\u06ba \u06a9\u0633\u06cc \u0633\u0645\u062a\u06cc\u06c1 ''b'' \u06a9\u06cc \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 &lt;math&gt;\\ \\{ v_0, v_1, ..., v_{n-1} \\}&lt;/math&gt; \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 (\u0645\u0646\u0641\u0631\u062f) \u0635\u0648\u0631\u062a ''c'' \u06c1\u06d2\u06d4 \u0627\u0628 \u0641\u0631\u0636 \u06a9\u0631\u0648 \u06a9\u06c1 \u0627\u0633\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u06a9\u0627 \u0627\u06cc\u06a9 \u0627\u0648\u0631 (\u0646\u06cc\u0627) \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 &lt;math&gt;\\ \\{ u_0, u_1, ..., u_{n-1} \\}&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u06c1\u06d2 \u0627\u0648\u0631 \u0627\u0633 (\u0646\u0626\u06d2) \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 &lt;math&gt;\\ \\{ u_0, u_1, ..., u_{n-1} \\}&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0627\u0633\u06cc \u0633\u0645\u062a\u06cc\u06c1 ''b'' \u06a9\u06cc \u0635\u0648\u0631\u062a ''d''\u00a0 \u06c1\u06d2\u06d4 \u0627\u0646 \u062f\u0648\u0646\u0648\u06ba \u0635\u0648\u0631\u062a\u0648\u06ba \u06a9\u06cc \u0646\u0633\u0628\u062a \u0627\u06cc\u06a9 \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06c1 \u06c1\u0648 \u06af\u06cc:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\ c = P d&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0645\u0635\u0641\u0648\u0641\u06c1 ''P'' \u06a9\u0648 \u0646\u06a9\u0627\u0644\u0646\u06d2 \u06a9\u0627 \u0637\u0631\u06cc\u0642\u06c1 \u06cc\u06c1 \u06c1\u06d2 \u06a9\u06c1 \u0646\u0626\u06d2 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 &lt;math&gt;\\ \\{ u_0, u_1, ..., u_{n</ins>-<ins class=\"diffchange diffchange-inline\">1} \\}&lt;/math&gt; \u06a9\u06d2 \u06c1\u0631 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06cc \u0635\u0648\u0631\u062a \u067e\u0631\u0627\u0646\u06d2 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 &lt;math&gt;\\ \\{ v_0, v_1, </ins>...<ins class=\"diffchange diffchange-inline\">, v_{n-1} \\}&lt;/math&gt; \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0646\u06a9\u0627\u0644\u0648\u06d4 \u0627\u0646 \u0635\u0648\u0631\u062a\u0648\u06ba \u06a9\u06d2 [[:W:ur:coefficients|\u0639\u062f\u062f\u06cc \u0633\u0631]] \u0627\u0633 \u0645\u0635\u0641\u0648\u0641\u06c1 ''P'' \u06a9\u06d2 \u0633\u062a\u0648\u0646 \u06c1\u0648\u0646\u06af\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0645\u0635\u0641\u0648\u0641\u06c1 ''P'' \u06a9\u0648 ''u''\u00a0 \u0633\u06d2 ''v'' \u062c\u0627\u0646\u06d2 \u0648\u0627\u0644\u06cc\u00a0 ''\u0645\u0646\u062a\u0642\u0644\u06c1 \u0645\u0635\u0641\u0648\u0641\u06c1'' (transition) \u06a9\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0645\u062b\u0627\u0644 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\mathbb{R}^2&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u0645\u06cc\u06ba \u0646\u0642\u0637\u06c1 (4,2) \u0642\u062f\u0631\u062a\u06cc \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;e_0=\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">1 \\\\ 0</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right</ins>]<ins class=\"diffchange diffchange-inline\">, \\,</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">e_1=\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">0 \\\\ 1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0635\u0648\u0631\u062a\u00a0 \u0628\u06be\u06cc \u06cc\u06c1\u06cc \u06c1\u06d2\u060c \u06cc\u0639\u0646\u06cc:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">4 e_0 + 2 e_1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0628 \u0641\u0631\u0636 \u06a9\u0631\u0648 \u06a9\u06c1 \u0646\u06cc\u0627 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06cc\u06c1 \u06c1\u06d2:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;u_0=\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">1 \\\\ 1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right], \\,</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">u_1=\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">-4 \\\\ 4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0646 \u0646\u0626\u06d2 \u0633\u0645\u062a\u06cc\u0648\u06ba \u06a9\u0648 \u067e\u0631\u0627\u0646\u06d2 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0644\u06a9\u06be\u0646\u06d2 \u0633\u06d2 \u0627\u0646 \u06a9\u06cc \u067e\u0631\u0627\u0646\u0648\u06ba \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0635\u0648\u0631\u062a \u0646\u06a9\u0644 \u0622\u0626\u06d2 \u06af\u06cc</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt; u_0= 1 e_0 + 1 e_1, \\,\\, u_0= -4 e_0 + 4 e_1 &lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u062c\u0633 \u06a9\u06d2 \u0639\u062f\u062f\u06cc \u0633\u0631 \u067e\u0691\u06be \u06a9\u0631 \u06c1\u0645 \u0645\u0635\u0641\u0648\u0641\u06c1 ''P'' \u06a9\u06d2 \u0633\u062a\u0648\u0646 \u0644\u06a9\u06be \u0644\u06cc\u062a\u06d2 \u06c1\u06cc\u06ba:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;P=\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">1\u00a0 \u00a0 &amp; -4 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">1\u00a0 \u00a0 &amp; 4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0628 \u0646\u0642\u0637\u06c1 (4,2) \u06a9\u06cc \u0646\u0626\u06d2 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u06d2 \u062d\u0648\u0627\u0644\u06d2 \u0633\u06d2 \u0635\u0648\u0631\u062a \u06cc\u0648\u06ba \u0646\u06a9\u0627\u0644\u062a\u06d2 \u06c1\u06cc\u06ba (\u062f\u06cc\u06a9\u06be\u0648 \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u0627 \u0627\u0644\u0679 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06c1\u0624\u0627 \u06c1\u06d2)</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;d = P^{-1} c\u00a0 = \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">1\u00a0 \u00a0 &amp; -4 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">1\u00a0 \u00a0 &amp;\u00a0 4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]^{-1} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">4 \\\\ 2</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">= \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">1/2\u00a0 \u00a0 &amp; 1/2 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">-1/8\u00a0 &amp; 1/8</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">4 \\\\ 2</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">= \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">3 \\\\ -1/4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06cc\u0639\u0646\u06cc</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">3 u_0 - (1/4) u_1</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0645\u0633\u0644\u0626\u06c1 \u0627\u062b\u0628\u0627\u062a\u06cc ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u06af\u0631 \u06a9\u0633\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627\u00a0 \u0645\u06cc\u06ba \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 ''u''\u00a0 \u0633\u06d2 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u0645\u062c\u0645\u0648\u0639\u06c1 ''v'' \u062c\u0627\u0646\u06d2 \u0648\u0627\u0644\u06cc\u00a0 \u0645\u0646\u062a\u0642\u0644\u06c1 \u0645\u0635\u0641\u0648\u0641\u06c1 ''P''</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06c1\u0648\u060c \u062a\u0648</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>* <ins class=\"diffchange diffchange-inline\">\u0645\u06cc\u0679\u0631\u06a9\u0633 \u06a9\u0627 \u0627\u064f\u0644\u0679\u060c \u06cc\u0639\u0646\u06cc &lt;math&gt;P^{-1}&lt;/math&gt; \u0645\u0645\u06a9\u0646 \u06c1\u06d2</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* ''v'' \u0633\u06d2 ''u'' \u062c\u0627\u0646\u06d2 \u0648\u0627\u0644\u06cc \u0645\u0646\u062a\u0642\u0644\u06c1 \u0645\u0635\u0641\u0648\u0641\u06c1 &lt;math&gt;P^{-1}&lt;/math&gt; \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">{{\u0627\u0646\u06af\u0631\u06cc\u0632\u06cc \u0639\u0646\u0648\u0627\u0646|Linear space / Vector space}}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==\u00a0 \u0633\u0645\u062a\u06cc\u06c1 \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u062a\u0639\u0631\u06cc\u0641: ''\u0630\u06cc\u0644\u06cc \u0645\u062c\u0645\u0648\u0639\u06c1'' (subset): \u0627\u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639\u06c1 (set) \u06a9\u0627 \u0630\u06cc\u0644\u06cc \u0645\u062c\u0645\u0648\u0639\u06c1\u00a0 \u0645\u06cc\u06ba \u0627\u0635\u0644 \u0645\u062c\u0645\u0648\u0639\u06c1 \u0645\u0670\u0670\u06cc\u06ba \u0645\u0648\u062c\u0648\u062f \u0639\u0646\u0635\u0631 \u0645\u06cc\u06ba \u0633\u06d2 \u06a9\u0686\u06be \u0639\u0646\u0627\u0635\u0631 \u06c1\u0648\u0646\u06af\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u06a9\u06d2 \u0645\u062c\u0645\u0648\u0639\u06c1 \u06a9\u0627 \u0627\u06cc\u0633\u0627 \u0630\u06cc\u0644\u06cc \u0645\u062c\u0645\u0648\u0639\u06c1 \u062c\u0648 \u062e\u0648\u062f \u0628\u06be\u06cc \u0627\u06cc\u06a9 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u06c1\u0648\u060c \u06a9\u0648 ''\u0633\u0645\u062a\u06cc\u06c1 \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627'' \u06a9\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0627\u0646\u06af\u0631\u06cc\u0632\u06cc \u0645\u06cc\u06ba \u0627\u0633\u06d2 vector subspace \u06a9\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u06a9\u0648\u0626\u06cc \u0628\u06be\u06cc \u0630\u06cc\u0644\u06cc \u0645\u062c\u0645\u0648\u0639\u06c1 \u0627\u0648\u067e\u0631 \u062f\u06cc\u06d2 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u06a9\u06d2 \u0642\u0648\u0627\u0639\u062f 2 \u0633\u06d2 5 \u067e\u0648\u0631\u06d2 \u06a9\u0631\u06d2 \u06af\u0627\u06d4 \u06cc\u06c1 \u062c\u0627\u0646\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0630\u06cc\u0644\u06cc \u0645\u062c\u0645\u0648\u0639\u06c1 \u0627\u06cc\u06a9 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u06c1\u06d2 \u06cc\u0627 \u0646\u06c1\u0670\u06cc\u06ba\u060c \u06c1\u0645\u06cc\u06ba \u0635\u0631\u0641 \u0627\u0633\u06d2 \u0642\u0648\u0627\u0639\u062f 1 \u06a9\u06d2 \u0644\u06cc\u06d2 \u067e\u0631\u06a9\u06be\u0646\u0627 \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0645\u062b\u0627\u0644: \u0627\u06af\u0631 &lt;math&gt;\\ m \\le n&lt;/math&gt; \u060c \u062a\u0648 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 &lt;math&gt;\\mathbb{R}^n&lt;/math&gt; \u06a9\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627 &lt;math&gt;\\mathbb{R}^m&lt;/math&gt; \u06c1\u0648 \u06af\u06cc\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>[<ins class=\"diffchange diffchange-inline\">[Image</ins>:<ins class=\"diffchange diffchange-inline\">LinAlgebra_simtia_planes_3_2.png]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0645\u062b\u0627\u0644: \u062a\u0635\u0648\u06cc\u0631 \u0645\u06cc\u06ba \u0645\u0639\u06a9\u0628 \u0641\u0636\u0627 &lt;math&gt;\\mathbb{R}^3&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u06a9\u06cc \u0627\u06cc\u06a9 \u0633\u0645\u062a\u06cc\u06c1 \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627 \u0646\u06cc\u0644\u06d2 \u0645\u0633\u062a\u0648\u06cc \u0633\u06d2 \u062f\u06a9\u06be\u0627\u06cc\u0627 \u06af\u0626\u06cc \u06c1\u06d2\u06d4 &lt;math&gt;\\mathbb{R}^3&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u0645\u06cc\u06ba \u0633\u0645\u062a\u06cc\u06c1 \u062a\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f (\u0645\u0639\u06a9\u0628 \u06a9\u06cc \u062a\u06cc\u0646 \u0633\u0645\u062a\u0648\u06ba ''X''\u060c ''Y''\u060c ''Z''\u060c \u06a9\u06cc \u0627\u0637\u0631\u0627\u0641 \u067e\u06cc\u0645\u0627\u0626\u06cc\u0634\u060c \u0645\u0628\u062f\u0627\u0621 \u0633\u06d2) \u0633\u06d2 \u06cc\u0648\u06ba \u062f\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u060c</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\left[\\begin{matrix}x \\\\y \\\\z \\end{matrix}\\right]&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u060c \u062c\u0628\u06a9\u06c1 \u0633\u0645\u062a\u06cc\u06c1 \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627 (\u0646\u06cc\u0644\u0627\u0645\u0633\u062a\u0648\u06cc) \u067e\u0631 \u0633\u0645\u062a\u06cc\u06c1 \u06cc\u0648\u06ba \u06c1\u06d2\u00a0 \u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\left[\\begin{matrix}x \\\\y \\\\-6x+17y \\end{matrix}\\right] &lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u062c\u0648 [[</ins>:<ins class=\"diffchange diffchange-inline\">W:ur:\u0645\u06cc\u0679\u0631\u06a9\u0633#\u0645\u06cc\u0679\u0631\u06a9\u0633 \u062f\u0627\u0644\u06c1|\u0645\u0635\u0641\u0648\u0641\u06c1 \u062f\u0627\u0644\u06c1]] \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06c1 \u06cc\u0648\u06ba \u0644\u06a9\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;\\left[\\begin{matrix}x \\\\y \\\\-6x+17y \\end{matrix}\\right] </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=\\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">1\u00a0 &amp; 0\u00a0  &amp; 0 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">0\u00a0 &amp; 1\u00a0  &amp; 0 \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">-6 &amp; 17 &amp; 0</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\left[\\begin{matrix}x \\\\y \\\\z\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u063a\u0648\u0631 \u06a9\u0631\u0648 \u06a9\u06c1 \u0627\u06af\u0631\u0686\u06c1 \u0646\u06cc\u0644\u0627 \u0645\u0633\u062a\u0648\u06cc \u0635\u0631\u0641 \u062f\u0648 \u0631\u064f\u062e\u06cc \u06c1\u06d2 \u0645\u06af\u0631\" \u0642\u062f\u0631\u062a\u06cc \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1\" (e0,e1,e2) \u06a9\u06d2 \u0644\u062d\u0627\u0638 \u0633\u06d2 \u067e\u06be\u0631 \u0628\u06be\u06cc \u0627\u0633 \u06a9\u0627 \u06a9\u0648\u0626\u06cc \u0646\u0642\u0637\u06c1 \u0688\u06be\u0648\u0646\u0688\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u062a\u06cc\u0646 \u0639\u062f\u062f \u0686\u0627\u06c1\u06cc\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0627\u06af\u0631 \u06c1\u0645 \u0627\u0646 \u0642\u062f\u0631\u062a\u06cc \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0648\u00a0 \u0627\u06cc\u0633\u06d2 \u06af\u06be\u0645\u0627\u0626\u06cc\u06ba \u06a9\u0631 \u062f\u0648 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1\u00a0 \u0646\u06cc\u0644\u06d2 \u0645\u0633\u062a\u0648\u06cc \u06a9\u06d2 \u0645\u062a\u0648\u0627\u0632\u06cc \u06c1\u0648 \u062c\u0627\u0626\u06cc\u06ba\u060c \u062a\u0648 \u0627\u0646 \u0646\u0626\u06d2 \u0628\u0646\u06cc\u0627\u062f \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u06cc \u0631\u0648 \u0633\u06d2 \u0646\u06cc\u0644\u06d2 \u0645\u0633\u062a\u0648\u06cc \u06a9\u0627 \u06a9\u0648\u0626\u06cc \u0628\u06be\u06cc \u0646\u0642\u0637\u06c1 \u0644\u06a9\u06be\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u062a\u06cc\u0633\u0631\u0627 \u0639\u062f\u062f \u0635\u0641\u0631 \u06c1\u0648 \u06af\u0627\u06d4 \u0627\u0633 \u062a\u0646\u0627\u0638\u0631 \u0645\u06cc\u06ba [[:W:ur:\u0644\u06a9\u06cc\u0631\u06cc \u0627\u0633\u062a\u062d\u0627\u0644\u06c1</ins>#<ins class=\"diffchange diffchange-inline\">\u0645\u06cc\u0679\u0631\u06a9\u0633 \u0636\u0631\u0628 \u0635\u0648\u0631\u062a|\u0644\u06a9\u06cc\u0631\u06cc \u0627\u0633\u062a\u062d\u0627\u0644\u06c1]] \u0645\u06cc\u06ba \u0645\u062b\u0627\u0644 1 \u0628\u06be\u06cc \u062f\u06cc\u06a9\u06be\u0648\u060c \u062c\u0633 \u06a9\u06cc \u0631\u0648 \u0633\u06d2 \u0646\u06cc\u0644\u06d2 \u0645\u0633\u062a\u0648\u06cc \u06a9\u06d2 \u06a9\u0633\u06cc \u0646\u0642\u0637\u06c1 \u06a9\u0648 \u0644\u06a9\u06be\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u062f\u0648 \u0639\u062f\u062f \u06a9\u0627\u0641\u06cc \u06c1\u0648 \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u06af\u0648\u06cc\u0627 \u0646\u06cc\u0644\u0627 \u0645\u0633\u062a\u0648\u06cc &lt;math&gt;\\mathbb{R}^3&lt;/math&gt; \u06a9\u06cc \u0633\u0645\u062a\u06cc\u06c1 \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627 \u06c1\u06d2 \u062c\u0633 \u06a9\u0627 [[:W:ur:\u0628\u064f\u0639\u062f (\u0644\u06a9\u06cc\u0631\u06cc \u0627\u0644\u062c\u0628\u0631\u0627)|\u0628\u064f\u0639\u062f (dimension)</ins>]<ins class=\"diffchange diffchange-inline\">]\u00a0 2 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">{{\u0627\u0646\u06af\u0631\u06cc\u0632\u06cc \u0639\u0646\u0648\u0627\u0646|Linear subspace / Vector subspace}}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==\u0642\u0637\u0627\u0631 \u0627\u0648\u0631 \u0633\u062a\u0648\u0646 \u0641\u0636\u0627\u0621 ==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>* <ins class=\"diffchange diffchange-inline\">\u062a\u0639\u0631\u06cc\u0641: \u0627\u06cc\u06a9 \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06cc \u0642\u0637\u0627\u0631\u0648\u06ba \u06a9\u0648 ''\u0642\u0637\u0627\u0631 \u0633\u0645\u062a\u06cc\u06c1'' \u06a9\u06c1\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u060c \u06cc\u0639\u0646\u06cc \u0627\u0646 \u06a9\u0648 &lt;math&gt;\\mathbb{R}^n &lt;/math&gt; \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u0645\u06cc\u06ba \u0633\u0645\u062a\u06cc\u06c1 \u0633\u0645\u062c\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0645\u062b\u0627\u0644 \u06a9\u06d2 \u0637\u0648\u0631 \u067e\u0631 \u0645\u0635\u0641\u0648\u0641\u06c1 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">A= \\left</ins>[<ins class=\"diffchange diffchange-inline\">\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">a_{0,0} &amp; a_{0,1} &amp; a_{0,2} \\\\</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">a_{1,0} &amp; a_{1,1} &amp; a_{1,2} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06a9\u06d2 \u062f\u0648 \u0642\u0637\u0627\u0631 \u0633\u0645\u062a\u06cc\u06c1\u060c \u0641\u0636\u0627\u0621 &lt;math&gt;\\mathbb{R}^3 &lt;/math&gt; \u0645\u06cc\u06ba\u00a0 \u06cc\u06c1 \u06c1\u06cc\u06ba</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">r_0 = \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">a_{0,0} &amp; a_{0,1} &amp; a_{0,2} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right], </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">r_1 = \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">a_{1,0} &amp; a_{1,1} &amp; a_{1,2} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right],</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* \u062a\u0639\u0631\u06cc\u0641: \u0627\u06cc\u06a9 \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06d2 \u0633\u062a\u0648\u0646\u0648\u06ba \u06a9\u0648 ''\u0633\u062a\u0648\u0646 \u0633\u0645\u062a\u06cc\u06c1'' \u06a9\u06c1\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u060c \u06cc\u0639\u0646\u06cc \u0627\u0646 \u06a9\u0648 &lt;math&gt;\\mathbb{R}^n &lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u0645\u06cc\u06ba \u0633\u0645\u062a\u06cc\u06c1 \u0633\u0645\u062c\u06be\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0645\u062b\u0627\u0644 \u06a9\u06d2 \u0637\u0648\u0631 \u067e\u0631 \u0645\u0635\u0641\u0648\u0641\u06c1 ''A'' \u06a9\u06d2 \u062a\u06cc\u0646 \u0633\u062a\u0648\u0646 \u0633\u0645\u062a\u06cc\u06c1\u060c \u0641\u0636\u0627\u0621 &lt;math&gt;\\mathbb{R}^2 &lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt; \u0645\u06cc\u06ba \u06cc\u06c1 \u06c1\u06cc\u06ba</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_0 = \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">a_{0,0} \\\\ a_{1,0} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right],</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_1 = \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">a_{0,1} \\\\ a_{1,1} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right],</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">c_2 = \\left[\\begin{matrix}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">a_{0,2} \\\\ a_{1,2} </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\end{matrix}\\right],</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;</ins>/<ins class=\"diffchange diffchange-inline\">math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0642\u0637\u0627\u0631 \u0641\u0636\u0627===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06d2 \u0642\u0637\u0627\u0631 \u0633\u0645\u062a\u06cc\u0648\u06ba \u06a9\u06d2 \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0648\u0644\u06cc\u0641 \u0633\u06d2 \u062c\u0648 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u0628\u0646\u062a\u06cc \u06c1\u06d2 \u0627\u0633\u06d2 ''\u0642\u0637\u0627\u0631 \u0641\u0636\u0627'' \u06a9\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u06cc\u0639\u0646\u06cc \u0642\u0637\u0627\u0631 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0648 [[:W:ur:\u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1|\u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1]] \u06a9\u06d2 \u0628\u0637\u0648\u0631 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 &lt;math&gt;\\mathbb{R}^n &lt;/math&gt; \u06a9\u06cc \u062c\u0648 \u0633\u0645\u062a\u06cc\u06c1 \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627 \u0639\u0628\u0648\u0631 \u06c1\u0648\u062a\u06cc \u06c1\u06d2\u060c \u0648\u06c1 \u0642\u0637\u0627\u0631 \u0641\u0636\u0627 \u06a9\u06c1\u0644\u0627\u0626\u06d2 \u06af\u06cc\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0648\u067e\u0631 \u06a9\u06cc \u0645\u062b\u0627\u0644 \u0645\u06cc\u06ba \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0648\u0644\u06cc\u0641</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt; \\beta_0 r_0 + \\beta_1 r_1 \\,,\\, \\beta_i \\in \\mathbb{R} &lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0633\u06d2 \u067e\u06cc\u062f\u0627 \u06c1\u0648\u0646\u06d2 \u0648\u0627\u0644\u06cc &lt;math&gt;\\mathbb{R}^3 &lt;/math&gt; \u06a9\u06cc \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627 \u06a9\u0648 \u0627\u0633 \u0645\u0635\u0641\u0648\u0641\u06c1 ''A'' \u06a9\u06cc \u0642\u0637\u0627\u0631 \u0641\u0636\u0627 \u06a9\u06c1\u06cc\u06ba \u06af\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0633\u062a\u0648\u0646 \u0641\u0636\u0627===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06d2 \u0633\u062a\u0648\u0646 \u0633\u0645\u062a\u06cc\u0648\u06ba \u06a9\u06d2 \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0648\u0644\u06cc\u0641 \u0633\u06d2 \u062c\u0648 \u0633\u0645\u062a\u06cc\u06c1 \u0641\u0636\u0627 \u0628\u0646\u062a\u06cc \u06c1\u06d2 \u0627\u0633\u06d2 ''\u0633\u062a\u0648\u0646 \u0641\u0636\u0627'' \u06a9\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u06cc\u0639\u0646\u06cc \u0633\u062a\u0648\u0646 \u0633\u0645\u062a\u06cc\u06c1 \u06a9\u0648 \"\u0639\u0628\u0631\u06cc \u0633\u0645\u062a\u06cc\u06c1\" \u06a9\u06d2 \u0628\u0637\u0648\u0631 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 &lt;math&gt;\\mathbb{R}^n &lt;/math&gt; \u06a9\u06cc \u062c\u0648 \"\u0633\u0645\u062a\u06cc\u06c1 \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627\" \u0639\u0628\u0648\u0631 \u06c1\u0648\u062a\u06cc \u06c1\u06d2\u060c \u0648\u06c1 \u0633\u062a\u0648\u0646 \u0641\u0636\u0627 \u06a9\u06c1\u0644\u0627\u0626\u06d2 \u06af\u06cc\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u0648\u067e\u0631 \u06a9\u06cc \u0645\u062b\u0627\u0644 \u0645\u06cc\u06ba \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0648\u0644\u06cc\u0641</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;math&gt; \\beta_0 c_0 + \\beta_1 c_1 +\u00a0 \\beta_2 c_2 \\,,\\, \\beta_i \\in \\mathbb{R} &lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;br&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0633\u06d2 \u0639\u0628\u0648\u0631 \u06c1\u0648\u0646\u06d2 \u0648\u0627\u0644\u06cc &lt;math&gt;\\mathbb{R}^2 &lt;/math&gt; \u06a9\u06cc \u0630\u06cc\u0644\u06cc \u0641\u0636\u0627 \u06a9\u0648 \u0627\u0633 \u0645\u0635\u0641\u0648\u0641\u06c1 ''A'' \u06a9\u06cc \u0633\u062a\u0648\u0646 \u0641\u0636\u0627 \u06a9\u06c1\u06cc\u06ba \u06af\u06d2\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0628\u064f\u0639\u062f \u0641\u0636\u0627 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u06a9\u0633\u06cc \u0628\u06be\u06cc \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06cc \u0642\u0637\u0627\u0631 \u0641\u0636\u0627 \u0627\u0648\u0631 \u0633\u062a\u0648\u0646 \u0641\u0636\u0627 \u06a9\u06d2\u00a0 \u0628\u064f\u0639\u062f \u0641\u0636\u0627 (dimension) \u0628\u0631\u0627\u0628\u0631 \u06c1\u0648\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0627\u0648\u0631 \u06cc\u06c1 ''\u0628\u064f\u0639\u062f'' \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u0627 \u0631\u064f\u062a\u0628\u06c1 \u06a9\u06c1\u0644\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u063a\u0648\u0631 \u06a9\u0631\u0648 \u06a9 \u0627\u06cc\u06a9 &lt;math&gt;\\ m \\times n&lt;/math&gt;\u00a0 \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u0627 \u0631\u062a\u0628\u06c1 &lt;math&gt;\\ \\min(m, n)&lt;/math&gt; \u06a9\u06d2 \u0628\u0631\u0627\u0628\u0631 \u06cc\u0627 \u0627\u0633 \u0633\u06d2 \u06a9\u0645 \u06c1\u0648 \u06af\u0627\u06d4</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===\u0645\u062b\u0644\u0626\u06c1 \u0627\u062b\u0628\u0627\u062a\u06cc ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u0627\u06cc\u06a9 \u0645\u0635\u0641\u0648\u0641\u06c1 ''A'' \u062c\u0633 \u06a9\u06d2 \u0633\u062a\u0648\u0646\u0648\u06ba \u06a9\u06cc \u062a\u0639\u062f\u0627\u062f ''n''\u00a0 \u06c1\u0648\u060c \u0627\u0633 \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06d2 \u0631\u062a\u0628\u06c1\u00a0 (rank) \u0627\u0648\u0631 \u0645\u0635\u0641\u0648\u0641\u06c1 \u06a9\u06cc \"[[</ins>:<ins class=\"diffchange diffchange-inline\">W:ur:\u0639\u062f\u06cc\u0645\u06c1 \u0641\u0636\u0627|\u0639\u062f\u06cc\u0645\u06c1 \u0641\u0636\u0627\u0621</ins>]<ins class=\"diffchange diffchange-inline\">] \u06a9\u06d2 \u0628\u064f\u0639\u062f\" (nullity) \u06a9\u06cc \u062c\u0645\u0639 ''n'' \u06c1\u0648\u00a0 \u06af\u06cc\u06d4 \u06cc\u0639\u0646\u06cc</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:&lt;math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\\hbox{rank(A)} + \\hbox{nullity(A)} = n</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">&lt;/math&gt;</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">{{\u0627\u0646\u06af\u0631\u06cc\u0632\u06cc \u0639\u0646\u0648\u0627\u0646|Row and column space}}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">{{\u0631\u06cc\u0627\u0636\u06cc \u0645\u062f\u062f}}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">{{\u0631\u06cc\u0627\u0636\u06cc\u06d4\u0644\u06a9\u06cc\u0631\u06cc \u0627\u0644\u062c\u0628\u0631\u0627\u06d4\u0627\u0628\u0648\u0627\u0628}}</ins></div></td></tr>\n"
    }
}