{"id":5437,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/besseli\/"},"modified":"2021-02-26T09:50:19","modified_gmt":"2021-02-26T09:50:19","slug":"besseli","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/besseli\/","title":{"rendered":"BESSELI"},"content":{"rendered":"

Funkce BESSELI je sou\u010d\u00e1st\u00ed pokro\u010dil\u00fdch matematick\u00fdch funkc\u00ed v tabulkov\u00fdch aplikac\u00edch jako Microsoft Excel a Google Sheets. Prim\u00e1rn\u011b se vyu\u017e\u00edv\u00e1 k v\u00fdpo\u010dtu modifikovan\u00e9 Besselovy funkce prvn\u00edho druhu, co\u017e je zvl\u00e1\u0161tn\u00ed typ matematick\u00e9 funkce, kter\u00fd nach\u00e1z\u00ed uplatn\u011bn\u00ed v oblastech jako in\u017een\u00fdrstv\u00ed, fyzika a matematick\u00e1 statistika. Tyto funkce jsou pojmenov\u00e1ny po n\u011bmeck\u00e9m matematikovi Friedrichu Besselovi, kter\u00fd je vyvinul v 19. stolet\u00ed.<\/p>\n

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

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

=BESSELI(x, n)<\/code><\/pre>\n
    \n
  • x<\/code> – \u010d\u00edseln\u00e1 hodnota, pro kterou se modifikovan\u00e1 Besselova funkce prvn\u00edho druhu vypo\u010d\u00edt\u00e1.<\/li>\n
  • n<\/code> – \u0159\u00e1d modifikovan\u00e9 Besselovy funkce prvn\u00edho druhu. Toto \u010d\u00edslo by m\u011blo b\u00fdt cel\u00e9 a nez\u00e1porn\u00e9.<\/li>\n<\/ul>\n
    P\u0159\u00edklad:<\/strong> Pro v\u00fdpo\u010det Besselovy funkce prvn\u00edho druhu pro x=2.5 a n=3 byste zadali:<\/p>\n
    =BESSELI(2.5, 3)<\/code><\/pre>\n
    Praktick\u00e9 aplikace<\/h2>\n
    Besselovy funkce se uplat\u0148uj\u00ed v r\u016fzn\u00fdch technick\u00fdch a fyzik\u00e1ln\u00edch aplikac\u00edch.<\/p>\n
    Vlnovody a akustika<\/h2>\n
    V oblasti vlnovod\u016f a akustick\u00e9ho in\u017een\u00fdrstv\u00ed lze funkci BESSELI vyu\u017e\u00edt k modelov\u00e1n\u00ed pr\u016fb\u011bhu tlakov\u00fdch vln v kruhov\u00fdch struktur\u00e1ch. Nap\u0159\u00edklad, pro zji\u0161t\u011bn\u00ed hodnoty Besselovy funkce pro n=0 a x=1.2, co\u017e odpov\u00edd\u00e1 ur\u010dit\u00e9 frekvenci a geometrii vlnovodu, pou\u017eijte:<\/p>\n
    =BESSELI(1.2, 0)<\/code><\/pre>\n
    Tuto hodnotu m\u016f\u017eeme pou\u017e\u00edt pro dal\u0161\u00ed v\u00fdpo\u010dty spojen\u00e9 se \u0161\u00ed\u0159en\u00edm vln.<\/p>\n
    Elektromagnetick\u00e9 pole<\/h2>\n
    Ve v\u00fdpo\u010detn\u00edch modelech, kde elektromagnetick\u00e9 pole proch\u00e1z\u00ed skrz kruhov\u00e9 nebo v\u00e1lce tvarovan\u00e9 objekty, se znalost BESSELI funkce st\u00e1v\u00e1 kl\u00ed\u010dovou pro p\u0159esn\u00e9 p\u0159edpov\u011bdi chov\u00e1n\u00ed pole. P\u0159i anal\u00fdze pole s vysokou frekvenc\u00ed, odpov\u00eddaj\u00edc\u00ed x=8.5 a n=2, byste v\u00fdpo\u010det provedli n\u00e1sledovn\u011b:<\/p>\n
    =BESSELI(8.5, 2)<\/code><\/pre>\n
    Tato hodnota je \u00fa\u010deln\u00e1 p\u0159i v\u00fdpo\u010dtech pol\u00ed v koaxi\u00e1ln\u00edch kabelech nebo akustick\u00fdch tlumi\u010d\u00edch.<\/p>\n
    Obecn\u011b je funkce BESSELI cenn\u00fdm n\u00e1strojem pro odborn\u00edky v mnoha oblastech, kde jsou po\u017eadov\u00e1ny v\u00fdpo\u010dty speci\u00e1ln\u00edch funkc\u00ed, kter\u00e9 slou\u017e\u00ed jako z\u00e1klad pro dal\u0161\u00ed modelov\u00e1n\u00ed fyzik\u00e1ln\u00edch jev\u016f.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Vr\u00e1t\u00ed modifikovanou Besselovu funkci In(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-5437","post","type-post","status-publish","format-standard","hentry","category-inzenyrske"],"acf":[],"yoast_head":"\nFunkce BESSELI v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije BESSELI u Excelu i Google tablicama. 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