{"id":5630,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/imexp\/"},"modified":"2021-02-26T09:57:23","modified_gmt":"2021-02-26T09:57:23","slug":"imexp","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/imexp\/","title":{"rendered":"IMEXP"},"content":{"rendered":"

\u00davod do pr\u00e1ce s komplexn\u00edmi \u010d\u00edsly ve finan\u010dn\u00edch tabulk\u00e1ch<\/h2>\n

Funkce IMEXP je v Microsoft Excel a Google Sheets cenn\u00fdm n\u00e1strojem pro manipulaci s komplexn\u00edmi \u010d\u00edsly. Tato funkce umo\u017e\u0148uje vypo\u010d\u00edtat exponencielu zadan\u00e9ho komplexn\u00edho \u010d\u00edsla, co\u017e jsou \u010d\u00edsla zapisovan\u00e1 ve form\u011b „x + yi“ nebo „x + yj“, kde „x“ reprezentuje re\u00e1lnou \u010d\u00e1st a „y“ imagin\u00e1rn\u00ed \u010d\u00e1st.<\/p>\n

Syntaxe a p\u0159\u00edklady<\/h2>\n

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

 IMEXP(komplexn\u00ed_\u010d\u00edslo) <\/code><\/pre>\n
Argument „komplexn\u00ed_\u010d\u00edslo“ m\u016f\u017ee b\u00fdt textov\u00fd \u0159et\u011bzec nebo odkaz na bu\u0148ku, kter\u00e1 obsahuje komplexn\u00ed \u010d\u00edslo.<\/p>\n
P\u0159\u00edklad:<\/strong> M\u00e1te-li v bu\u0148ce A1 komplexn\u00ed \u010d\u00edslo „3+4i“, v\u00fdpo\u010det exponenci\u00e1ly tohoto \u010d\u00edsla provedete n\u00e1sleduj\u00edc\u00edm vzorcem:<\/p>\n
 =IMEXP(A1) <\/code><\/pre>\n
Tento vzorec vypo\u010d\u00edt\u00e1 e^(3+4i) a v\u00fdsledkem bude p\u0159ibli\u017en\u011b -13.12878-15.20078i v standardn\u00ed form\u011b komplexn\u00edho \u010d\u00edsla.<\/p>\n
Pou\u017eit\u00ed v praxi<\/h2>\n
Funkce IMEXP najde sv\u00e9 uplatn\u011bn\u00ed zejm\u00e9na v oblastech jako elektrotechnika a kvantov\u00e1 fyzika, kde se s komplexn\u00edmi \u010d\u00edsly setk\u00e1v\u00e1me \u010dasto. Zde je n\u011bkolik p\u0159\u00edklad\u016f jej\u00edho vyu\u017eit\u00ed:<\/p>\n
    \n
  • Elektrotechnika:<\/strong> V\u00fdpo\u010det f\u00e1zov\u00fdch posun\u016f nebo impedanc\u00ed ve st\u0159\u00eddav\u00fdch obvodech.<\/li>\n
  • Kvantov\u00e1 fyzika:<\/strong> V\u00fdpo\u010dty spojen\u00e9 s vlnov\u00fdmi funkcemi a pravd\u011bpodobnostn\u00edmi amplitudami.<\/li>\n<\/ul>\n
    Detailn\u00ed p\u0159\u00edpadov\u00e9 studie<\/h2>\n
    1. V\u00fdpo\u010det impedanc\u00ed v RLC obvodu<\/h3>\n
    P\u0159edstavte si RLC s\u00e9riov\u00fd obvod s rezistenc\u00ed (R), induktanc\u00ed (L) a kapacitou (C), kde R = 50 ohm\u016f, L = 30 mH a C = 50 uF a frekvenc\u00ed zdroje 500 Hz. Impedance Z tohoto obvodu je:<\/p>\n
     Z = R + i(\u03c9L - 1\/\u03c9C) <\/code><\/pre>\n
    where \u03c9 (angular frequency) = 2\u03c0f, f je frekvence. V\u00fdpo\u010det provedete pomoc\u00ed Excel nebo Google Sheets takto:<\/p>\n
     =50 + IMEXP(\"i*2*PI()*500*0.03 - i\/(2*PI()*500*0.00005)\") <\/code><\/pre>\n
    Tento p\u0159\u00edklad poskytne komplexn\u00ed hodnotu impedance, kde re\u00e1ln\u00e1 \u010d\u00e1st zastupuje rezistenci a imagin\u00e1rn\u00ed \u010d\u00e1st odpov\u00edd\u00e1 kombinovan\u00e9 reaktivit\u011b induktoru a kondenz\u00e1toru.<\/p>\n
    2. V\u00fdpo\u010det pravd\u011bpodobnostn\u00ed amplitudy<\/h3>\n
    V kvantov\u00e9 mechanice m\u016f\u017ee b\u00fdt pravd\u011bpodobnostn\u00ed amplituda \u010d\u00e1stice v\u00fdrazn\u011b ovlivn\u011bna jej\u00ed vlnovou funkc\u00ed Psi, nap\u0159\u00edklad Psi = e^(ikx), kde „k“ je vlnov\u00e9 \u010d\u00edslo a „x“ je pozice. V\u00fdpo\u010det lze prov\u00e9st takto:<\/p>\n
     =IMEXP(\"i*3.14*0.005*100\") <\/code><\/pre>\n
    Tento vzorec poskytne hodnotu vlnov\u00e9 funkce pro dan\u00e9 parametry k (3.14 1\/m) a x (100 m).<\/p>\n
    Z\u00e1v\u011br<\/h2>\n
    Funkce IMEXP v Microsoft Excel a Google Sheets je nepostradateln\u00fdm n\u00e1strojem pro pr\u00e1ci s komplexn\u00edmi \u010d\u00edsly v r\u016fzn\u00fdch v\u011bdeck\u00fdch a technick\u00fdch oborech, umo\u017e\u0148uje efektivn\u00ed a p\u0159esn\u00e9 v\u00fdpo\u010dty a je kl\u00ed\u010dov\u00e1 pro aplikace, kde komplexn\u00ed \u010d\u00edsla hraj\u00ed z\u00e1sadn\u00ed roli.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Vr\u00e1t\u00ed exponenci\u00e1ln\u00ed tvar komplexn\u00edho \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":[288],"tags":[],"class_list":["post-5630","post","type-post","status-publish","format-standard","hentry","category-inzenyrske"],"acf":[],"yoast_head":"\nFunkce IMEXP v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije IMEXP 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\/imexp\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Funkce IMEXP v Excelu: jak funguje, primjeri kori\u0161tenja formule\" \/>\n<meta property=\"og:description\" content=\"Opis funkcije IMEXP u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/functiontranslator.com\/cs\/imexp\/\" \/>\n<meta property=\"og:site_name\" content=\"Function Translator\" \/>\n<meta property=\"article:published_time\" content=\"2025-07-15T13:34:45+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-02-26T09:57:23+00:00\" \/>\n<meta name=\"author\" content=\"glavadmin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Funkce IMEXP 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\/imexp\/\",\"url\":\"https:\/\/functiontranslator.com\/cs\/imexp\/\",\"name\":\"Funkce IMEXP v Excelu: jak funguje, primjeri kori\u0161tenja formule\",\"isPartOf\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\"},\"datePublished\":\"2025-07-15T13:34:45+00:00\",\"dateModified\":\"2021-02-26T09:57:23+00:00\",\"author\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\"},\"description\":\"Opis funkcije IMEXP u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.\",\"breadcrumb\":{\"@id\":\"https:\/\/functiontranslator.com\/cs\/imexp\/#breadcrumb\"},\"inLanguage\":\"cs\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/functiontranslator.com\/cs\/imexp\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/functiontranslator.com\/cs\/imexp\/#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\":\"IMEXP\"}]},{\"@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 IMEXP v Excelu: jak funguje, primjeri kori\u0161tenja formule","description":"Opis funkcije IMEXP 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\/imexp\/","og_locale":"cs_CZ","og_type":"article","og_title":"Funkce IMEXP v Excelu: jak funguje, primjeri kori\u0161tenja formule","og_description":"Opis funkcije IMEXP u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.","og_url":"https:\/\/functiontranslator.com\/cs\/imexp\/","og_site_name":"Function Translator","article_published_time":"2025-07-15T13:34:45+00:00","article_modified_time":"2021-02-26T09:57:23+00:00","author":"glavadmin","twitter_card":"summary_large_image","twitter_title":"Funkce IMEXP 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\/imexp\/","url":"https:\/\/functiontranslator.com\/cs\/imexp\/","name":"Funkce IMEXP v Excelu: jak funguje, primjeri kori\u0161tenja formule","isPartOf":{"@id":"https:\/\/functiontranslator.com\/no\/#website"},"datePublished":"2025-07-15T13:34:45+00:00","dateModified":"2021-02-26T09:57:23+00:00","author":{"@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389"},"description":"Opis funkcije IMEXP u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.","breadcrumb":{"@id":"https:\/\/functiontranslator.com\/cs\/imexp\/#breadcrumb"},"inLanguage":"cs","potentialAction":[{"@type":"ReadAction","target":["https:\/\/functiontranslator.com\/cs\/imexp\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/functiontranslator.com\/cs\/imexp\/#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":"IMEXP"}]},{"@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\/5630","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=5630"}],"version-history":[{"count":2,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/posts\/5630\/revisions"}],"predecessor-version":[{"id":30768,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/posts\/5630\/revisions\/30768"}],"wp:attachment":[{"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/media?parent=5630"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/categories?post=5630"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/tags?post=5630"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}