{"id":9,"date":"2021-01-03T03:37:53","date_gmt":"2021-01-03T00:37:53","guid":{"rendered":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/?p=9"},"modified":"2022-11-17T12:23:52","modified_gmt":"2022-11-17T09:23:52","slug":"%cf%80%ce%b5%cf%81%ce%b9%cf%83%cf%83%cf%8c%cf%84%ce%b5%cf%81%ce%bf-latex","status":"publish","type":"post","link":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/2021\/01\/03\/%cf%80%ce%b5%cf%81%ce%b9%cf%83%cf%83%cf%8c%cf%84%ce%b5%cf%81%ce%bf-latex\/","title":{"rendered":"\u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf latex"},"content":{"rendered":"

\"\"<\/p>\n

At first, we sample \"f(x)\" in the \"N\" (\"N\" is odd) equidistant points around \"x^*\":<\/p>\n

  <\/span>   <\/span>\"\[<\/p>\n

where $h$ is some step.
\nThen we interpolate points \"\{(x_k,f_k)\}\" by polynomial
\n<\/a><\/p>\n

(1) <\/span>   <\/span>\"\begin{equation*} <\/p>\n

Its coefficients $\{a_j\}$ are found as a solution of system of linear equations:
\n<\/a><\/p>\n

(2) <\/span>   <\/span>\"\begin{equation*} <\/p>\n

Here are references to existing equations: (1<\/a>), (2<\/a>).
\nHere is reference to non-existing equation (??).<\/p>\n","protected":false},"excerpt":{"rendered":"

At first, we sample in the ( is odd) equidistant points around :     where $h$ is some step. Then we interpolate points by polynomial (1)   Its coefficients $\{a_j\}$ are found as a solution of system … <\/p>\n

Continue reading “\u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf latex”<\/span><\/a><\/div>\n","protected":false},"author":7197,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-9","post","type-post","status-publish","format-standard","hentry","category-1"],"_links":{"self":[{"href":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/wp-json\/wp\/v2\/posts\/9","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/wp-json\/wp\/v2\/users\/7197"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/wp-json\/wp\/v2\/comments?post=9"}],"version-history":[{"count":0,"href":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/wp-json\/wp\/v2\/posts\/9\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/wp-json\/wp\/v2\/media?parent=9"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/wp-json\/wp\/v2\/categories?post=9"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.e-me.edu.gr\/hive-mathcircle\/wp-json\/wp\/v2\/tags?post=9"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}