{"id":5426,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/arcsinh\/"},"modified":"2021-02-26T09:49:57","modified_gmt":"2021-02-26T09:49:57","slug":"asinh","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/asinh\/","title":{"rendered":"ARCSINH"},"content":{"rendered":"

Popis a Syntaxe Funkce ASINH<\/h2>\n

Funkce ASINH, zn\u00e1m\u00e1 tak\u00e9 jako ARCSINH, je matematick\u00e1 funkce dostupn\u00e1 jak v MS Excelu, tak v Google Tabulk\u00e1ch. Umo\u017e\u0148uje v\u00fdpo\u010det inverzn\u00ed hyperbolick\u00e9 sinusov\u00e9 funkce dan\u00e9ho \u010d\u00edsla. Tato funkce je u\u017eite\u010dn\u00e1 v r\u016fzn\u00fdch oblastech, v\u010detn\u011b fyziky, in\u017een\u00fdrstv\u00ed nebo v jak\u00e9mkoliv v\u011bdn\u00edm oboru, kde se pracuje s hyperbolick\u00fdmi funkcemi.<\/p>\n

Syntaxe funkce je velmi jednoduch\u00e1 a obsahuje jedin\u00fd argument:<\/p>\n

=ASINH(number')<\/code><\/pre>\n
    \n
  • \u010d\u00edslo:<\/strong> \u010c\u00edseln\u00e1 hodnota nebo odkaz na bu\u0148ku, pro kterou chceme vypo\u010d\u00edtat ASINH.<\/li>\n<\/ul>\n
    P\u0159\u00edklad pou\u017eit\u00ed funkce v Excelu \u010di Google Tabulk\u00e1ch m\u016f\u017ee vypadat n\u00e1sledovn\u011b:<\/p>\n
    =ASINH(1)<\/code><\/pre>\n
    Tento v\u00fdraz vr\u00e1t\u00ed v\u00fdsledek 0.88137, co\u017e je hodnota ASINH pro 1.<\/p>\n
    \n
    Praktick\u00e9 P\u0159\u00edklady Vyu\u017eit\u00ed Funkce<\/h2>\n
    P\u0159\u00edklad 1: V\u00fdpo\u010det Modelu R\u016fstu<\/h3>\n
    P\u0159edpokl\u00e1dejme, \u017ee chceme analyzovat rychlost r\u016fstu bakteri\u00e1ln\u00ed kultury, kde r\u016fst n\u00e1sleduje logistickou funkci, jej\u00ed\u017e chov\u00e1n\u00ed lze aproximovat pomoc\u00ed inverzn\u00ed hyperbolick\u00e9 funkce. M\u016f\u017eeme pou\u017e\u00edt ASINH k p\u0159eveden\u00ed nam\u011b\u0159en\u00fdch dat na transformovan\u00e9 hodnoty vhodn\u011bj\u0161\u00ed pro line\u00e1rn\u00ed regresi.<\/p>\n
    Vstupy:<\/em> P\u0159edstavme si, \u017ee m\u00e1me nam\u011b\u0159en\u00e9 hodnoty r\u016fstu kultury za r\u016fzn\u00e9 \u010dasov\u00e9 intervaly, p\u0159i\u010dem\u017e ka\u017ed\u00fd den byla hodnota r\u016fstu logaritmicky vy\u0161\u0161\u00ed, nap\u0159. 1, 1.5, 2.5, 4.2, atd.<\/p>\n
    =ASINH(A2)<\/code><\/pre>\n
    Po aplikaci funkce v sloupci vedle p\u016fvodn\u00edch dat m\u016f\u017eeme z\u00edskat transformovan\u00e1 data, kter\u00e1 m\u016f\u017eeme d\u00e1le analyzovat pomoc\u00ed statistick\u00fdch n\u00e1stroj\u016f.<\/p>\n
    P\u0159\u00edklad 2: Korekce Zkreslen\u00ed Dat<\/h3>\n
    M\u011bjme data s vysokou m\u00edrou k\u0159ivosti (skewness), kter\u00e1 mohou b\u00fdt problematick\u00e1 pro n\u011bkter\u00e9 typy anal\u00fdz. Pou\u017eit\u00edm funkce ASINH m\u016f\u017eeme data transformovat tak, aby byla symetri\u010dt\u011bj\u0161\u00ed a l\u00e9pe odpov\u00eddala p\u0159edpoklad\u016fm line\u00e1rn\u00edch model\u016f.<\/p>\n
    Vstupy:<\/em> Sada dat s vysokou m\u00edrou zkreslen\u00ed ve sloupci A od A2 do A100.<\/p>\n
    =ASINH(A2:A100)<\/code><\/pre>\n
    Tento krok vytvo\u0159\u00ed nov\u00fd sloupec transformovan\u00fdch dat. Tyto data n\u00e1sledn\u011b m\u016f\u017eeme sn\u00e1ze pou\u017e\u00edt v analytick\u00fdch modelech, jako jsou regresn\u00ed anal\u00fdzy, bez obav z naru\u0161en\u00ed v\u00fdsledk\u016f kv\u016fli zkreslen\u00ed origin\u00e1ln\u00edch dat.<\/p>\n
    Pou\u017eit\u00ed funkce ASINH v t\u011bchto p\u0159\u00edkladech ukazuje jeho flexibilitu a u\u017eite\u010dnost ve statistick\u00fdch a v\u011bdeck\u00fdch aplikac\u00edch, kde transformace dat m\u016f\u017ee pomoci zjednodu\u0161it modelov\u00e1n\u00ed a zv\u00fd\u0161it p\u0159esnost odhad\u016f.<\/p>\n
    Co je d\u016fle\u017eit\u00e9 si zapamatovat, p\u0159i pr\u00e1ci s ASINH v Excelu i Google Tabulk\u00e1ch, je kontrolovat, \u017ee data jsou spr\u00e1vn\u011b form\u00e1tov\u00e1na a p\u0159ipravena pro anal\u00fdzu, aby v\u00fdsledky byly validn\u00ed a reprezentativn\u00ed.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Vr\u00e1t\u00ed hyperbolick\u00fd arkussinus \u010d\u00edsla<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[282],"tags":[],"class_list":["post-5426","post","type-post","status-publish","format-standard","hentry","category-matematicke-a-trigonometricke"],"acf":[],"yoast_head":"\nFunkce ASINH (ARCSINH) v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije ASINH (ARCSINH) u Excelu i Google tablicama. 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