{"id":298,"date":"2019-10-18T18:05:52","date_gmt":"2019-10-18T22:05:52","guid":{"rendered":"http:\/\/flight.utias.utoronto.ca\/?p=298"},"modified":"2019-11-05T09:36:46","modified_gmt":"2019-11-05T14:36:46","slug":"cheng-yuan","status":"publish","type":"post","link":"https:\/\/flight.utias.utoronto.ca\/index.php\/cheng-yuan","title":{"rendered":"Cheng Yuan"},"content":{"rendered":"


\nAt first, we sample \"f(x)\" in the \"N\" (\"N\" is odd) equidistant points around \"x^*\":
\n

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

(1) <\/span>   <\/span>\"\begin{equation*} <\/p>
\nIts coefficients \"\{a_j\}\" are found as a solution of system of linear equations:
\n<\/a>

(2) <\/span>   <\/span>\"\begin{equation*} <\/p>
\nHere are references to existing equations: (1<\/a>), (2<\/a>).
\nHere is reference to non-existing equation (??).<\/p>\n\n\n

[publications auth=longhao subj=articles prep=all] <\/p>\n","protected":false},"excerpt":{"rendered":"

At first, we sample in the ( is odd) equidistant points around :     where is some step. Then we interpolate points by polynomial (1)   Its coefficients are found as a solution of system of linear equations: (2) Continue Reading …<\/a><\/span><\/p>\n","protected":false},"author":14,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37],"tags":[],"class_list":["post-298","post","type-post","status-publish","format-standard","hentry","category-visiting-students"],"_links":{"self":[{"href":"https:\/\/flight.utias.utoronto.ca\/index.php\/wp-json\/wp\/v2\/posts\/298","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/flight.utias.utoronto.ca\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/flight.utias.utoronto.ca\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/flight.utias.utoronto.ca\/index.php\/wp-json\/wp\/v2\/users\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/flight.utias.utoronto.ca\/index.php\/wp-json\/wp\/v2\/comments?post=298"}],"version-history":[{"count":7,"href":"https:\/\/flight.utias.utoronto.ca\/index.php\/wp-json\/wp\/v2\/posts\/298\/revisions"}],"predecessor-version":[{"id":526,"href":"https:\/\/flight.utias.utoronto.ca\/index.php\/wp-json\/wp\/v2\/posts\/298\/revisions\/526"}],"wp:attachment":[{"href":"https:\/\/flight.utias.utoronto.ca\/index.php\/wp-json\/wp\/v2\/media?parent=298"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/flight.utias.utoronto.ca\/index.php\/wp-json\/wp\/v2\/categories?post=298"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/flight.utias.utoronto.ca\/index.php\/wp-json\/wp\/v2\/tags?post=298"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}