{"id":31089,"date":"2011-02-13T23:08:45","date_gmt":"2011-02-13T23:08:45","guid":{"rendered":"http:\/\/euvolution.com\/futurist-transhuman-news-blog\/linearly-independent-proof\/"},"modified":"2011-02-13T23:08:45","modified_gmt":"2011-02-13T23:08:45","slug":"linearly-independent-proof","status":"publish","type":"post","link":"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/aerospace\/linearly-independent-proof.php","title":{"rendered":"Linearly Independent Proof"},"content":{"rendered":"<p>Need help with finishing this proof.<\/p>\n<p>    Question<\/p>\n<p>    Let {x1 , . . . , xk} be a linearly independent finite set in a normed linear space. Show that there exists delta &amp;gt; 0 such that the condition<\/p>\n<p>    max||xi-yi||&amp;lt;delta ,1&amp;lt;=i&amp;lt;=k<\/p>\n<p>    implies that {y1 , . . . , yk} is al<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Need help with finishing this proof. Question Let {x1 , . . . , xk} be a linearly independent finite set in a normed linear space. Show that there exists delta &amp;gt; 0 such that the condition max||xi-yi||&amp;lt;delta ,1&amp;lt;=i&amp;lt;=k implies &hellip; <a href=\"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/aerospace\/linearly-independent-proof.php\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"limit_modified_date":"","last_modified_date":"","_lmt_disableupdate":"","_lmt_disable":"","footnotes":""},"categories":[19],"tags":[],"class_list":["post-31089","post","type-post","status-publish","format-standard","hentry","category-aerospace"],"modified_by":null,"_links":{"self":[{"href":"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/wp-json\/wp\/v2\/posts\/31089"}],"collection":[{"href":"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/wp-json\/wp\/v2\/comments?post=31089"}],"version-history":[{"count":0,"href":"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/wp-json\/wp\/v2\/posts\/31089\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/wp-json\/wp\/v2\/media?parent=31089"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/wp-json\/wp\/v2\/categories?post=31089"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.euvolution.com\/futurist-transhuman-news-blog\/wp-json\/wp\/v2\/tags?post=31089"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}