{"id":5438,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/besselj\/"},"modified":"2021-02-26T09:50:21","modified_gmt":"2021-02-26T09:50:21","slug":"besselj","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/besselj\/","title":{"rendered":"BESSELJ"},"content":{"rendered":"

\u00davod do speci\u00e1ln\u00edch funkc\u00ed v Excelu a Google Sheets<\/h2>\n

BESSELJ je matematick\u00e1 funkce dostupn\u00e1 v Microsoft Excel i Google Sheets. Slou\u017e\u00ed k v\u00fdpo\u010dtu hodnoty Besselovy funkce prvn\u00edho druhu Jn(x). Tato funkce je \u010dasto aplikov\u00e1na v in\u017een\u00fdrstv\u00ed, fyzice a v dal\u0161\u00edch oborech v\u011bdy, kde je t\u0159eba \u0159e\u0161it probl\u00e9my spojen\u00e9 s kruhov\u00fdmi a sf\u00e9rick\u00fdmi vlnami.<\/p>\n

Syntaxe a pou\u017eit\u00ed funkce<\/h2>\n

Syntaxe funkce BESSELJ je n\u00e1sleduj\u00edc\u00ed:<\/p>\n

  BESSELJ(x, n) <\/code> <\/pre>\n
kde x<\/code> ozna\u010duje hodnotu, pro kterou se funkce po\u010d\u00edt\u00e1 (\u010d\u00edseln\u00fd \u00fadaj reprezentuj\u00edc\u00ed \u00fahel nebo pr\u016fm\u011br) a n<\/code> ozna\u010duje \u0159\u00e1d Besselovy funkce, kter\u00fd mus\u00ed b\u00fdt nez\u00e1porn\u00e9 cel\u00e9 \u010d\u00edslo nebo nula.<\/p>\n\n\n\n\n
Parametr<\/th>\nPopis<\/th>\n<\/tr>\n
x<\/td>\nHodnota, pro kterou se vypo\u010d\u00edt\u00e1 Besselova funkce<\/td>\n<\/tr>\n
n<\/td>\n\u0158\u00e1d Besselovy funkce (celo\u010d\u00edseln\u00fd)<\/td>\n<\/tr>\n<\/table>\n
P\u0159\u00edklady vyu\u017eit\u00ed<\/h2>\n
Zde p\u0159in\u00e1\u0161\u00edme n\u011bkolik p\u0159\u00edklad\u016f, jak lze funkci BESSELJ prakticky vyu\u017e\u00edt:<\/p>\n
1. Zji\u0161t\u011bn\u00ed hodnoty Besselovy funkce pro dan\u00e9 x a n<\/h2>\n
Pokud pot\u0159ebujete ur\u010dit hodnotu Besselovy funkce prvn\u00edho druhu pro konkr\u00e9tn\u00ed hodnoty x a n, m\u016f\u017eete ve sv\u00e9m tabulkov\u00e9m programu pou\u017e\u00edt n\u00e1sleduj\u00edc\u00ed vzorec:<\/p>\n
  =BESSELJ(3.5, 2) <\/code> <\/pre>\n
Vzorec vr\u00e1t\u00ed hodnotu Besselovy funkce pro zadan\u00e9 parametry, kterou lze d\u00e1le pou\u017e\u00edt v anal\u00fdz\u00e1ch nebo dal\u0161\u00edch v\u00fdpo\u010dtech.<\/p>\n
2. Anal\u00fdza vibrac\u00ed v mechanick\u00e9m syst\u00e9mu<\/h2>\n
P\u0159edpokl\u00e1dejme, \u017ee m\u00e1me mechanick\u00fd syst\u00e9m, kde jsou vibrace modelov\u00e1ny pomoc\u00ed Besselov\u00fdch funkc\u00ed. P\u0159edstavme si, \u017ee kmito\u010det vibrac\u00ed je reprezentov\u00e1n hodnotou x. Pro porovn\u00e1n\u00ed hodnot Besselov\u00fdch funkc\u00ed r\u016fzn\u00fdch \u0159\u00e1d\u016f (od n=0 do n=5) p\u0159i stejn\u00e9m kmito\u010dtu x = 1.0, m\u016f\u017eeme pou\u017e\u00edt n\u00e1sleduj\u00edc\u00ed \u0159et\u011bzec vzorc\u016f:<\/p>\n
  =BESSELJ(1.0, 0) =BESSELJ(1.0, 1) =BESSELJ(1.0, 2) =BESSELJ(1.0, 3) =BESSELJ(1.0, 4) =BESSELJ(1.0, 5) <\/code> <\/pre>\n
Tyto hodnoty uk\u00e1\u017eou, jak se Besselovy funkce li\u0161\u00ed v z\u00e1vislosti na \u0159\u00e1du p\u0159i stejn\u00e9m kmito\u010dtu, co\u017e je podstatn\u00e9 pro pochopen\u00ed chov\u00e1n\u00ed syst\u00e9mu.<\/p>\n
Tyto p\u0159\u00edklady ukazuj\u00ed, jak m\u016f\u017eete vyu\u017e\u00edvat funkci BESSELJ pro anal\u00fdzu a v\u00fdpo\u010dty ve specifick\u00fdch situac\u00edch, kter\u00e9 zahrnuj\u00ed kruhov\u00e9 nebo sf\u00e9rick\u00e9 jevy. Experimentov\u00e1n\u00edm s r\u016fzn\u00fdmi hodnotami x<\/code> a n<\/code> dostanete lep\u0161\u00ed p\u0159edstavu o funkcionalit\u011b Besselov\u00fdch funkc\u00ed a jejich aplikac\u00edch ve va\u0161ich specifick\u00fdch probl\u00e9mech.<\/p>\n","protected":false},"excerpt":{"rendered":"
Vr\u00e1t\u00ed modifikovanou Besselovu funkci Jn(x)<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[288],"tags":[],"class_list":["post-5438","post","type-post","status-publish","format-standard","hentry","category-inzenyrske"],"acf":[],"yoast_head":"\nFunkce BESSELJ v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije BESSELJ u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/functiontranslator.com\/cs\/besselj\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Funkce BESSELJ v Excelu: jak funguje, primjeri kori\u0161tenja formule\" \/>\n<meta property=\"og:description\" content=\"Opis funkcije BESSELJ u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/functiontranslator.com\/cs\/besselj\/\" \/>\n<meta property=\"og:site_name\" content=\"Function Translator\" \/>\n<meta property=\"article:published_time\" content=\"2025-07-15T13:34:44+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-02-26T09:50:21+00:00\" \/>\n<meta name=\"author\" content=\"glavadmin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Funkce BESSELJ v Excelu: jak funguje, primjeri kori\u0161tenja formule\" \/>\n<meta name=\"twitter:label1\" content=\"Napsal(a)\" \/>\n\t<meta name=\"twitter:data1\" content=\"glavadmin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Odhadovan\u00e1 doba \u010dten\u00ed\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/functiontranslator.com\/cs\/besselj\/\",\"url\":\"https:\/\/functiontranslator.com\/cs\/besselj\/\",\"name\":\"Funkce BESSELJ v Excelu: jak funguje, primjeri kori\u0161tenja formule\",\"isPartOf\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\"},\"datePublished\":\"2025-07-15T13:34:44+00:00\",\"dateModified\":\"2021-02-26T09:50:21+00:00\",\"author\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\"},\"description\":\"Opis funkcije BESSELJ u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.\",\"breadcrumb\":{\"@id\":\"https:\/\/functiontranslator.com\/cs\/besselj\/#breadcrumb\"},\"inLanguage\":\"cs\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/functiontranslator.com\/cs\/besselj\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/functiontranslator.com\/cs\/besselj\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Funkce aplikace Excel\",\"item\":\"https:\/\/functiontranslator.com\/cs\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"In\u017een\u00fdrsk\u00e9\",\"item\":\"https:\/\/functiontranslator.com\/cs\/inzenyrske\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"BESSELJ\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\",\"url\":\"https:\/\/functiontranslator.com\/no\/\",\"name\":\"Function Translator\",\"description\":\"Excel function translator\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/functiontranslator.com\/no\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"cs\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\",\"name\":\"glavadmin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"cs\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"caption\":\"glavadmin\"},\"sameAs\":[\"https:\/\/functiontranslator.com\"],\"url\":\"https:\/\/functiontranslator.com\/cs\/author\/glavadmin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Funkce BESSELJ v Excelu: jak funguje, primjeri kori\u0161tenja formule","description":"Opis funkcije BESSELJ u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/functiontranslator.com\/cs\/besselj\/","og_locale":"cs_CZ","og_type":"article","og_title":"Funkce BESSELJ v Excelu: jak funguje, primjeri kori\u0161tenja formule","og_description":"Opis funkcije BESSELJ u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.","og_url":"https:\/\/functiontranslator.com\/cs\/besselj\/","og_site_name":"Function Translator","article_published_time":"2025-07-15T13:34:44+00:00","article_modified_time":"2021-02-26T09:50:21+00:00","author":"glavadmin","twitter_card":"summary_large_image","twitter_title":"Funkce BESSELJ v Excelu: jak funguje, primjeri kori\u0161tenja formule","twitter_misc":{"Napsal(a)":"glavadmin","Odhadovan\u00e1 doba \u010dten\u00ed":"2 minuty"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/functiontranslator.com\/cs\/besselj\/","url":"https:\/\/functiontranslator.com\/cs\/besselj\/","name":"Funkce BESSELJ v Excelu: jak funguje, primjeri kori\u0161tenja formule","isPartOf":{"@id":"https:\/\/functiontranslator.com\/no\/#website"},"datePublished":"2025-07-15T13:34:44+00:00","dateModified":"2021-02-26T09:50:21+00:00","author":{"@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389"},"description":"Opis funkcije BESSELJ u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.","breadcrumb":{"@id":"https:\/\/functiontranslator.com\/cs\/besselj\/#breadcrumb"},"inLanguage":"cs","potentialAction":[{"@type":"ReadAction","target":["https:\/\/functiontranslator.com\/cs\/besselj\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/functiontranslator.com\/cs\/besselj\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Funkce aplikace Excel","item":"https:\/\/functiontranslator.com\/cs\/"},{"@type":"ListItem","position":2,"name":"In\u017een\u00fdrsk\u00e9","item":"https:\/\/functiontranslator.com\/cs\/inzenyrske\/"},{"@type":"ListItem","position":3,"name":"BESSELJ"}]},{"@type":"WebSite","@id":"https:\/\/functiontranslator.com\/no\/#website","url":"https:\/\/functiontranslator.com\/no\/","name":"Function Translator","description":"Excel function translator","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/functiontranslator.com\/no\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"cs"},{"@type":"Person","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389","name":"glavadmin","image":{"@type":"ImageObject","inLanguage":"cs","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","caption":"glavadmin"},"sameAs":["https:\/\/functiontranslator.com"],"url":"https:\/\/functiontranslator.com\/cs\/author\/glavadmin\/"}]}},"_links":{"self":[{"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/posts\/5438","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/comments?post=5438"}],"version-history":[{"count":2,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/posts\/5438\/revisions"}],"predecessor-version":[{"id":30577,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/posts\/5438\/revisions\/30577"}],"wp:attachment":[{"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/media?parent=5438"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/categories?post=5438"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/tags?post=5438"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}