{"id":5643,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/imsum\/"},"modified":"2021-02-26T09:57:44","modified_gmt":"2021-02-26T09:57:44","slug":"imsum","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/imsum\/","title":{"rendered":"IMSUM"},"content":{"rendered":"

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

V Excelu a Google Sheets jsou k dispozici rozmanit\u00e9 funkce pro manipulaci a v\u00fdpo\u010dty s komplexn\u00edmi \u010d\u00edsly, kter\u00e9 jsou kl\u00ed\u010dov\u00e9 pro technick\u00e9 a v\u011bdeck\u00e9 aplikace. Jednou z fundament\u00e1ln\u00edch je funkce pro s\u010d\u00edt\u00e1n\u00ed komplexn\u00edch \u010d\u00edsel. Tato funkcionalita umo\u017e\u0148uje u\u017eivatel\u016fm prov\u00e1d\u011bt sou\u010det dvou nebo v\u00edce komplexn\u00edch \u010d\u00edsel.<\/p>\n

Podrobn\u00fd popis a syntaxe<\/h2>\n

Funkce pro s\u010d\u00edt\u00e1n\u00ed komplexn\u00edch \u010d\u00edsel akceptuje dva nebo v\u00edce argument\u016f, kter\u00e9 jsou zad\u00e1ny ve form\u011b textov\u00fdch \u0159et\u011bzc\u016f reprezentuj\u00edc\u00edch komplexn\u00ed \u010d\u00edsla. Tyto \u0159et\u011bzce maj\u00ed form\u00e1t „x+yi“ nebo „x-yi“, kde x a y jsou \u010d\u00edseln\u00e9 hodnoty odpov\u00eddaj\u00edc\u00ed re\u00e1ln\u00e9 a imagin\u00e1rn\u00ed \u010d\u00e1sti komplexn\u00edho \u010d\u00edsla.<\/p>\n

 Syntaxe: KOMPLEXN\u00cd_SUMA(komplexn\u00ed_\u010d\u00edslo1; komplexn\u00ed_\u010d\u00edslo2; [komplexn\u00ed_\u010d\u00edslo3; ...]) P\u0159\u00edklady: =KOMPLEXN\u00cd_SUMA(\"5+3i\", \"3+2i\") \/\/ v\u00fdsledek \"8+5i\" =KOMPLEXN\u00cd_SUMA(\"2+4i\", \"1-1i\", \"3+3i\") \/\/ v\u00fdsledek \"6+6i\" <\/code><\/pre>\n
Praktick\u00e9 aplikace<\/h2>\n
Komplexn\u00ed \u010d\u00edsla nach\u00e1zej\u00ed vyu\u017eit\u00ed v r\u016fzn\u00fdch technick\u00fdch discipl\u00edn\u00e1ch, od elektrotechniky po kvantovou fyziku. N\u00ed\u017ee jsou uvedeny p\u0159\u00edklady, jak funkce pro s\u010d\u00edt\u00e1n\u00ed komplexn\u00edch \u010d\u00edsel m\u016f\u017ee b\u00fdt uplatn\u011bna.<\/p>\n
P\u0159\u00edklad 1: V\u00fdpo\u010det impedanc\u00ed v elektrick\u00e9m obvodu<\/h2>\n
Impedance elektrick\u00e9ho obvodu m\u016f\u017ee b\u00fdt vyj\u00e1d\u0159ena komplexn\u00edm \u010d\u00edslem, kde re\u00e1ln\u00e1 \u010d\u00e1st indikuje rezistanci a imagin\u00e1rn\u00ed \u010d\u00e1st reprezentuje induktanci nebo kapacitanci obvodu. P\u0159i n\u00e1vrhu obvodu je \u010dasto nutn\u00e9 sou\u010d\u00edst jednotliv\u00e9 impedan\u010dn\u00ed hodnoty.<\/p>\n
 Nap\u0159\u00edklad pro impedance Z1 = \"50+30i\" a Z2 = \"40+20i\": =KOMPLEXN\u00cd_SUMA(\"50+30i\", \"40+20i\") \/\/ V\u00fdsledek \"90+50i\" <\/code><\/pre>\n
    \n
  • Z1 a Z2 p\u0159edstavuj\u00ed impedance r\u016fzn\u00fdch komponent obvodu.<\/li>\n
  • S\u010d\u00edt\u00e1n\u00edm Z1 a Z2 z\u00edsk\u00e1me celkovou impedanci obvodu.<\/li>\n<\/ul>\n
    P\u0159\u00edklad 2: Anal\u00fdza vlnov\u00fdch funkc\u00ed<\/h2>\n
    V kvantov\u00e9 mechanice mohou m\u00edt vlnov\u00e9 funkce komplexn\u00ed charakter. Pro z\u00edsk\u00e1n\u00ed v\u00fdsledn\u00e9 amplitudy p\u0159i line\u00e1rn\u00ed superpozici vlnov\u00fdch funkc\u00ed je t\u0159eba prov\u00e9st s\u010d\u00edt\u00e1n\u00ed komplexn\u00edch \u010d\u00edsel.<\/p>\n
     M\u011bjme vlnov\u00e9 funkce Psi1 = \"1.5+2.5i\" a Psi2 = \"2.0+1.5i\": =KOMPLEXN\u00cd_SUMA(\"1.5+2.5i\", \"2.0+1.5i\") \/\/ V\u00fdsledek \"3.5+4.0i\" <\/code><\/pre>\n
      \n
    • Psi1 a Psi2 jsou vlnov\u00e9 funkce dvou \u010d\u00e1stic, kter\u00e9 p\u0159isp\u00edvaj\u00ed do syst\u00e9mu.<\/li>\n
    • S\u010d\u00edt\u00e1n\u00edm Psi1 a Psi2 dostaneme celkovou vlnovou funkci syst\u00e9mu.<\/li>\n<\/ul>\n
      Tyto aplikace ukazuj\u00ed, jak m\u016f\u017ee b\u00fdt funkce pro s\u010d\u00edt\u00e1n\u00ed komplexn\u00edch \u010d\u00edsel u\u017eite\u010dn\u00e1 v praxi, nejen pro efektivn\u00ed pr\u00e1ci s komplexn\u00edmi \u010d\u00edsly v tabulkov\u00fdch procesorech, ale tak\u00e9 pro zjednodu\u0161en\u00ed a zrychlen\u00ed v\u00fdpo\u010dt\u016f v r\u016fzn\u00fdch odborn\u00fdch oblastech.<\/p>\n","protected":false},"excerpt":{"rendered":"
      Vr\u00e1t\u00ed sou\u010det dvou komplexn\u00edch \u010d\u00edsel<\/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-5643","post","type-post","status-publish","format-standard","hentry","category-inzenyrske"],"acf":[],"yoast_head":"\nFunkce IMSUM v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije IMSUM u Excelu i Google tablicama. 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