{"id":235,"date":"2020-02-05T02:45:47","date_gmt":"2020-02-05T02:45:47","guid":{"rendered":"https:\/\/integrations.pressbooks.network\/steelstest\/chapter\/chapter-1-4\/"},"modified":"2025-02-13T16:58:05","modified_gmt":"2025-02-13T16:58:05","slug":"chapter-1-4","status":"web-only","type":"chapter","link":"https:\/\/integrations.pressbooks.network\/steel\/chapter\/chapter-1-4\/","title":{"raw":"Chapter 1","rendered":"Chapter 1"},"content":{"raw":"<div class=\"chapter-1\">\r\n<p class=\"import-Normal\">[latex]<code><span class=\"kwd\">\\begin<\/span><span class=\"pun\">{<\/span><span class=\"pln\">equation<\/span><span class=\"pun\">}<\/span><span class=\"pln\">\r\nL_T<\/span><span class=\"pun\">(<\/span><span class=\"kwd\">\\vec<\/span><span class=\"pun\">{<\/span><span class=\"kwd\">\\lambda<\/span><span class=\"pun\">})<\/span> <span class=\"pun\">=<\/span> <span class=\"kwd\">\\sum<\/span><span class=\"pln\">_<\/span><span class=\"pun\">(<\/span><span class=\"pln\">x,s<\/span><span class=\"pun\">)<\/span><span class=\"kwd\">\\elementof<\/span><span class=\"pln\"> T <\/span><span class=\"kwd\">\\log<\/span><span class=\"pln\"> P<\/span><span class=\"pun\">(<\/span><span class=\"pln\">s|X<\/span><span class=\"pun\">)<\/span><span class=\"pln\"> - <\/span><span class=\"kwd\">\\sum<\/span><span class=\"pln\">_<\/span><span class=\"pun\">(<\/span><span class=\"pln\">i<\/span><span class=\"pun\">=<\/span><span class=\"pln\">1<\/span><span class=\"pun\">)<\/span><span class=\"pln\">^m <\/span><span class=\"kwd\">\\lamda<\/span><span class=\"pln\">_i^\r\n<\/span><span class=\"kwd\">\\end<\/span><span class=\"pun\">{<\/span><span class=\"pln\">equation<\/span><span class=\"pun\">}<\/span>\r\n<span class=\"kwd\">\\subsection<\/span><span class=\"pun\">{<\/span><span class=\"pln\">Partition Function<\/span><span class=\"pun\">}<\/span><\/code>[\/latex]\r\n\r\n<\/div>","rendered":"<div class=\"chapter-1\">\n<p class=\"import-Normal\">[latex]<code><span class=\"kwd\">\\begin<\/span><span class=\"pun\">{<\/span><span class=\"pln\">equation<\/span><span class=\"pun\">}<\/span><span class=\"pln\">  L_T<\/span><span class=\"pun\">(<\/span><span class=\"kwd\">\\vec<\/span><span class=\"pun\">{<\/span><span class=\"kwd\">\\lambda<\/span><span class=\"pun\">})<\/span> <span class=\"pun\">=<\/span> <span class=\"kwd\">\\sum<\/span><span class=\"pln\">_<\/span><span class=\"pun\">(<\/span><span class=\"pln\">x,s<\/span><span class=\"pun\">)<\/span><span class=\"kwd\">\\elementof<\/span><span class=\"pln\"> T <\/span><span class=\"kwd\">\\log<\/span><span class=\"pln\"> P<\/span><span class=\"pun\">(<\/span><span class=\"pln\">s|X<\/span><span class=\"pun\">)<\/span><span class=\"pln\"> - <\/span><span class=\"kwd\">\\sum<\/span><span class=\"pln\">_<\/span><span class=\"pun\">(<\/span><span class=\"pln\">i<\/span><span class=\"pun\">=<\/span><span class=\"pln\">1<\/span><span class=\"pun\">)<\/span><span class=\"pln\">^m <\/span><span class=\"kwd\">\\lamda<\/span><span class=\"pln\">_i^  <\/span><span class=\"kwd\">\\end<\/span><span class=\"pun\">{<\/span><span class=\"pln\">equation<\/span><span class=\"pun\">}<\/span>  <span class=\"kwd\">\\subsection<\/span><span class=\"pun\">{<\/span><span class=\"pln\">Partition Function<\/span><span class=\"pun\">}<\/span><\/code>[\/latex]<\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-235\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Fake citation. <strong>Authored by<\/strong>: Steel Wagstaff. <strong>Provided by<\/strong>: Pressbooks. <strong>Retrieved from<\/strong>: https:\/\/pressbooks.org. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":14,"menu_order":17,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"","_candela_citation":"[{\"type\":\"original\",\"description\":\"Fake citation\",\"author\":\"Steel Wagstaff\",\"organization\":\"Pressbooks\",\"url\":\"https:\/\/pressbooks.org\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"\"}]"},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-235","chapter","type-chapter","status-web-only","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/pressbooks\/v2\/chapters\/235","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/wp\/v2\/users\/14"}],"version-history":[{"count":3,"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/pressbooks\/v2\/chapters\/235\/revisions"}],"predecessor-version":[{"id":362,"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/pressbooks\/v2\/chapters\/235\/revisions\/362"}],"part":[{"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/pressbooks\/v2\/chapters\/235\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/wp\/v2\/media?parent=235"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/pressbooks\/v2\/chapter-type?post=235"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/wp\/v2\/contributor?post=235"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/steel\/wp-json\/wp\/v2\/license?post=235"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}