{"id":103,"date":"2013-03-12T15:50:14","date_gmt":"2013-03-12T12:20:14","guid":{"rendered":"http:\/\/vua.nadiran.com\/?p=103"},"modified":"2013-03-12T16:38:32","modified_gmt":"2013-03-12T13:08:32","slug":"%d8%ae%d9%84%d8%a7%d8%b5%d9%87-%d8%af%d8%b1%d8%b3-%d8%aa%d8%af%d8%b1%db%8c%d8%b3-%db%8c%d8%a7%d8%b1-%d8%b1%db%8c%d8%a7%d8%b6%db%8c%d8%a7%d8%aa-%db%8c%d8%a7%d8%af%da%af%db%8c%d8%b1%db%8c-911222","status":"publish","type":"post","link":"https:\/\/vua.nadiran.com\/?p=103","title":{"rendered":"\u062e\u0644\u0627\u0635\u0647 \u062f\u0631\u0633 \u062a\u062f\u0631\u06cc\u0633 \u06cc\u0627\u0631 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u06f9\u06f1\/\u06f1\u06f2\/\u06f2\u06f2"},"content":{"rendered":"

\u06f9\u06f1\/\u06f1\u06f2\/\u06f2\u06f2
\n\u0622\u0632\u0645\u0648\u0646 \u0641\u0631\u0636<\/p>\n

\u0645\u062b\u0627\u0644 :
\n\u0645\u06cc\u0632\u0627\u0646 \u06a9\u0627\u0631\u06a9\u0631\u062f \u06a9\u0627\u0631\u0645\u0646\u062f\u0627\u0646
\n\u0646\u0628\u0627\u06cc\u062f \u0628\u06cc \u062f\u0644\u06cc\u0644 \u0631\u062f \u06a9\u0646\u06cc\u0645 \u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0627\u0632 \u0622\u0632\u0645\u0648\u0646 \u0641\u0631\u0636 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645<\/p>\n

\u06cc\u06a9 \u0641\u0631\u0636 H0 \u062f\u0627\u0631\u06cc\u0645 \u0628\u0647 \u0635\u0648\u0631\u062a \u062a\u0633\u0627\u0648\u06cc
\nHa \u0628\u0647 \u0635\u0648\u0631\u062a \u0646\u0627\u0645\u0633\u0627\u0648\u06cc (\u0622\u0632\u0645\u0648\u0646 \u062f\u0648\u0637\u0631\u0641\u0647 )<\/p>\n

\u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0641\u0631\u0636 H0 \u0631\u0627 \u0628\u06cc \u062f\u0644\u06cc\u0644 \u0631\u062f \u0646\u06a9\u0646\u06cc\u0645<\/p>\n

\u0645\u0642\u0627\u062f\u06cc\u0631\u06cc \u06a9\u0647 \u062e\u06cc\u0644\u06cc \u0628\u0647 \u0646\u062f\u0631\u062a \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc \u0627\u0641\u062a\u0646\u062f \u060c \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0646\u0627\u062d\u06cc\u0647
\n\u0628\u062d\u0631\u0627\u0646\u06cc \u06af\u0648\u06cc\u06cc\u0645<\/p>\n

\u067e\u0633 \u0645\u0631\u0627\u062d\u0644 \u0622\u0632\u0645\u0648\u0646 \u0641\u0631\u0636
\nH0
\nHa \u0622\u0644\u0641\u0627
\nn \u062a\u0639\u062f\u0627\u062f \u0627\u0639\u0636\u0627\u06cc \u0646\u0645\u0648\u0646\u0647
\n\u0627\u0646\u062a\u062e\u0627\u0628 test
\n\u0627\u0632 \u0622\u0632\u0645\u0648\u0646 Z \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u062c\u0627\u0645\u0639\u0647 \u0645\u0639\u0644\u0648\u0645 \u0628\u0627\u0634\u062f
\n\u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u062c\u0627\u0645\u0639\u0647 \u0645\u0639\u0644\u0648\u0645 \u0646\u0628\u0627\u0634\u062f \u0627\u0632 \u0622\u0632\u0645\u0648\u0646 T \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645<\/p>\n

\u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u062d\u0631\u0627\u0646\u06cc \u0631\u0627 \u0627\u0632 \u062c\u062f\u0648\u0644 \u0628\u062f\u0633\u062a \u0645\u06cc \u0622\u0648\u0631\u06cc\u0645<\/p>\n

————————-
\nConfidence Intervals VS Hypotheses Test
\n\u0622\u0632\u0645\u0648\u0646 \u0641\u0631\u0636 VS \u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646
\n\u062f\u0648 \u0646\u0648\u0639 \u062e\u0637\u0627 \u062f\u0627\u0631\u06cc\u0645 :
\n\u06f1- \u0641\u0631\u0636 H0 \u0631\u0627 \u0628\u0647 \u0646\u0627\u062d\u0642 \u0631\u062f \u06a9\u0646\u06cc\u0645 ( \u062e\u06cc\u0644\u06cc \u0628\u062f \u0627\u0633\u062a ) \u0648 \u0628\u0627\u06cc\u062f \u0627\u0644\u0641\u0627 \u0631\u0627 \u06a9\u0648\u0686\u06a9
\n\u0628\u06af\u06cc\u0631\u06cc\u0645
\n\u06f2- \u0641\u0631\u0636 H0 \u0646\u0627\u062f\u0631\u0633\u062a \u0628\u0627\u0634\u062f \u0648 \u0631\u062f \u0646\u06a9\u0646\u06cc\u0645<\/p>\n

\u062f\u0631 \u0628\u0639\u0636\u06cc \u0645\u0633\u0627\u06cc\u0644 \u06a9\u0647 \u0622\u0644\u0641\u0627 \u0631\u0627 \u0646\u062f\u0627\u0631\u06cc\u0645 \u060c \u0627\u0632 p-value \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u06a9\u0646\u06cc\u0645
\n\u06a9\u0647 \u0627\u062d\u062a\u0645\u0627\u0644 \u0631\u062f \u0641\u0631\u0636 H0 \u0628\u0647 \u0646\u0627 \u062d\u0642 \u0647\u0633\u062a<\/p>\n

—————————————–
\nLinear Space ( Vector Space )
\n\u0641\u0636\u0627 \u0647\u0627\u06cc \u0628\u0631\u062f\u0627\u0631\u06cc – ( \u0641\u0636\u0627 \u0647\u0627\u06cc \u062e\u0637\u06cc )
\n\u062e\u06cc\u0644\u06cc \u0645\u0647\u0645 \u0627\u0633\u062a
\n\u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639\u0647 \u0627\u06cc \u0646\u0627 \u062a\u0647\u06cc \u0627\u0632 \u06cc\u06a9 \u0633\u0631\u06cc \u0627\u0639\u0636\u0627 \u0627\u0633\u062a<\/p>\n

\u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0641\u0636\u0627 \u0647\u0627\u06cc \u062e\u0637\u06cc :
\n\u0646\u0633\u0628\u062a \u0628\u0647 \u0639\u0645\u0644 \u062c\u0645\u0639 \u0648 \u0636\u0631\u0628 \u0628\u0633\u062a\u0647 \u0647\u0633\u062a<\/p>\n

\u06f8 \u0627\u0635\u0644 \u062c\u0645\u0639 \u0648 \u0636\u0631\u0628
\n\u06f1- \u062e\u0627\u0635\u06cc\u062a \u0634\u0631\u06a9\u062a \u067e\u0630\u06cc\u0631\u06cc \u062c\u0645\u0639
\n\u06f2- \u062e\u0627\u0635\u06cc\u062a \u062c\u0627\u0628\u062c\u0627\u06cc\u06cc \u062c\u0645\u0639
\n\u06f3- \u0639\u0636\u0648 \u062e\u0646\u062b\u06cc \u062c\u0645\u0639
\n\u06f4- \u0648\u062c\u0648\u062f \u0639\u0636\u0648 \u0642\u0631\u06cc\u0646\u0647
\n\u06f5- \u062a\u0648\u0632\u06cc\u0639 \u067e\u0630\u06cc\u0631\u06cc \u062c\u0645\u0639 \u0646\u0633\u0628\u062a \u0628\u0647 \u0636\u0631\u0628
\n\u06f6- \u062a\u0648\u0632\u06cc\u0639 \u067e\u0630\u06cc\u0631\u06cc \u0636\u0631\u0628 \u0646\u0633\u0628\u062a \u0628\u0647 \u062c\u0645\u0639
\n\u06f7- \u0634\u0631\u06a9\u062a \u067e\u0630\u06cc\u0631\u06cc \u0636\u0631\u0628
\n\u06f8- \u0639\u0636\u0648 \u062e\u0646\u062b\u06cc \u0636\u0631\u0628
\nLinear Combination
\n\u062a\u0631\u06a9\u06cc\u0628 \u062e\u0637\u06cc
\n\u0627\u06af\u0631 c1 , c2 , …, cn \u0647\u0627\u06cc\u06cc \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u062f\u0631 \u0628\u0631\u062f\u0627\u0631 \u0636\u0631\u0628 \u0634\u0648\u062f
\n\u062a\u0631\u06a9\u06cc\u0628 \u062e\u0637\u06cc \u0645\u06cc \u06af\u0648\u06cc\u06cc\u0645<\/p>\n

\u0645\u06cc\u062a\u0648\u0646\u0647 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u062a\u0631\u06a9\u06cc\u0628 \u062e\u0637\u06cc \u0627\u0632 \u06f2 \u0645\u0627\u062a\u0631\u06cc\u0633 \u062f\u06cc\u06af\u0647 \u0628\u0627\u0634\u0647<\/p>\n

\u0632\u06cc\u0631 \u0641\u0636\u0627\u06cc \u0628\u0631\u062f\u0627\u0631\u06cc<\/p>\n

W \u0632\u06cc\u0631 \u0641\u0636\u0627\u06cc \u0628\u0631\u062f\u0627\u0631\u06cc V \u0647\u0633\u062a \u0628\u0647 \u0634\u0631\u0637\u06cc \u06a9\u0647 \u0632\u06cc\u0631 \u0645\u062c\u0645\u0648\u0639\u0647 V \u0628\u0627\u0634\u062f
\n\u0648 W \u0628\u0627\u06cc\u062f \u062e\u0648\u0627\u0635 \u0628\u0631\u062f\u0627\u0631 V \u0631\u0627 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f
\n\u0639\u0636\u0648 \u062e\u0646\u062b\u06cc V \u0631\u0627 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f
\n\u0645\u0641\u0647\u0648\u0645span \u0645\u0648\u0644\u062f linear independence \u060cbasis \u067e\u0627\u06cc\u0647 \u060c cooridates \u0645\u0648\u0644\u0641\u0647<\/p>\n

\u0647\u0631 \u0639\u0636\u0648\u06cc \u0627\u0632 V \u0645\u062b\u0644 f \u0628\u062a\u0648\u0627\u0646\u06cc\u0645 \u0639\u062f\u062f c1 j\u062a\u0627 cn \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u0645 \u06a9\u0647
\nf=c1.f1+c2.f2+…+cn.fn<\/p>\n

\u0645\u0633\u062a\u0642\u0644 \u062e\u0637\u06cc :
\n\u0628\u0631\u062f\u0627\u0631 \u0647\u0627\u06cc f1 \u062a\u0627 fn \u0645\u0633\u062a\u0642\u0644 \u062e\u0637\u06cc \u0647\u0633\u062a\u0646\u062f \u0627\u06af\u0631 \u0628\u0647 \u0627\u0632\u0627\u06cc c1f1+c2f2+…
\n+cnfn=0 \u0628\u0627\u0634\u062f.
\n\u062a\u0631\u06a9\u06cc\u0628 \u062e\u0637\u06cc \u0622\u0646\u0647\u0627 \u0635\u0641\u0631 \u0628\u0627\u0634\u062f<\/p>\n

\u067e\u0627\u06cc\u0647 :
\n\u0627\u06af\u0631 f1 \u062a\u0627 fn \u0628\u0631\u062f\u0627\u0631 V \u0631\u0627 \u062a\u0648\u0644\u06cc\u062f \u06a9\u0646\u0646\u062f<\/p>\n

\u0645\u0648\u0644\u0641\u0647 :<\/p>\n

(c1-d1).f1+…+(cn-dn).fn=0
\nb1.f1.+…+bn.fn=0
\nci=dn<\/p>\n

c1 \u062a\u0627 cn \u0645\u0648\u0644\u0641\u0647 \u0646\u0633\u0628\u062a \u0628\u0647 \u067e\u0627\u06cc\u0647 f1 \u062a\u0627 fn \u0645\u06cc \u06af\u0648\u06cc\u06cc\u0645<\/p>\n

\u0628\u0639\u062f ( Dimention (<\/p>\n

\u062a\u0639\u062f\u0627\u062f \u0627\u0639\u0636\u0627\u06cc f \u0647\u0627 n \u062a\u0627 \u06a9\u0647 \u0628\u0627\u0634\u062f
\ndim(V)=n
\nn \u0628\u0639\u062f \u0641\u0636\u0627\u06cc \u0628\u0631\u062f\u0627\u0631\u06cc V \u0647\u0633\u062a<\/p>\n

\u062a\u0639\u0631\u06cc\u0641 Finite \u0641\u0636\u0627 \u0647\u0627\u06cc \u0628\u0631\u062f\u0627\u0631\u06cc \u0645\u062a\u0646\u0627\u0647\u06cc :
\n\u0627\u06af\u0631 \u0641\u0636\u0627\u06cc \u0628\u0631\u062f\u0627\u0631\u06cc \u067e\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0645\u062a\u0646\u0627\u0647\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f \u0641\u0636\u0627\u06cc \u0645\u062a\u0646\u0627\u0647\u06cc \u0645\u06cc
\n\u06af\u0648\u06cc\u06cc\u0645<\/p>\n

\u062a\u0627\u0628\u0639 \u0647\u0645\u0648\u0627\u0631 : \u0627\u0632 \u062a\u0627\u0628\u0639 \u0647\u0631 \u0686\u0642\u062f\u0631 \u06a9\u0647 \u0645\u0634\u062a\u0642 \u0628\u06af\u06cc\u0631\u06cc\u0645 \u0628\u0627\u0632 \u0647\u0645 \u0645\u0634\u062a\u0642 \u067e\u0630\u06cc\u0631 \u0628\u0627\u0634\u062f<\/p>\n

\u0633\u0648\u0627\u0644 : \u06cc\u06a9 \u067e\u0627\u06cc\u0647 \u0628\u0631\u0627\u06cc \u0641\u0636\u0627\u06cc \u0686\u0646\u062f \u062c\u0645\u0644\u0647 \u0627\u06cc \u0647\u0627\u06cc \u062d\u062f\u0627\u06a9\u062b\u0631 \u0627\u0632 \u062f\u0631\u062c\u0647 n
\n\u0645\u062b\u0644 : x^4-1<\/p>\n

 <\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

\u06f9\u06f1\/\u06f1\u06f2\/\u06f2\u06f2 \u0622\u0632\u0645\u0648\u0646 \u0641\u0631\u0636 \u0645\u062b\u0627\u0644 : \u0645\u06cc\u0632\u0627\u0646 \u06a9\u0627\u0631\u06a9\u0631\u062f \u06a9\u0627\u0631\u0645\u0646\u062f\u0627\u0646 \u0646\u0628\u0627\u06cc\u062f \u0628\u06cc \u062f\u0644\u06cc\u0644 \u0631\u062f \u06a9\u0646\u06cc\u0645 \u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0627\u0632 \u0622\u0632\u0645\u0648\u0646 \u0641\u0631\u0636 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06cc\u06a9 \u0641\u0631\u0636 H0 \u062f\u0627\u0631\u06cc\u0645 \u0628\u0647 \u0635\u0648\u0631\u062a \u062a\u0633\u0627\u0648\u06cc Ha \u0628\u0647 \u0635\u0648\u0631\u062a \u0646\u0627\u0645\u0633\u0627\u0648\u06cc (\u0622\u0632\u0645\u0648\u0646 \u062f\u0648\u0637\u0631\u0641\u0647 ) \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0641\u0631\u0636 H0 \u0631\u0627 \u0628\u06cc \u062f\u0644\u06cc\u0644 \u0631\u062f \u0646\u06a9\u0646\u06cc\u0645 \u0645\u0642\u0627\u062f\u06cc\u0631\u06cc \u06a9\u0647 \u062e\u06cc\u0644\u06cc \u0628\u0647 \u0646\u062f\u0631\u062a \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc \u0627\u0641\u062a\u0646\u062f \u060c \u0628\u0647 \u0627\u06cc\u0646 […]<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-103","post","type-post","status-publish","format-standard","hentry","category-esl","category-3-id","post-seq-1","post-parity-odd","meta-position-corners","fix"],"_links":{"self":[{"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/posts\/103"}],"collection":[{"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=103"}],"version-history":[{"count":4,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/posts\/103\/revisions"}],"predecessor-version":[{"id":105,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/posts\/103\/revisions\/105"}],"wp:attachment":[{"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=103"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=103"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=103"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}