neprerivnost funktsii kompleksnoy peremennoy

PPT 10 pages 203.0 KB Free download

10 pages

FaylHub.uz

Download via Telegram

Size 203.0 KB

File type PPT

Pages 10

Updated Dec 2025

Page preview (5 pages)

Scroll down 👇

1 / 10

prezentatsiya powerpoint def. tochka z0g nazivaetsya tochkoy sgusheniya (predelnoy tochkoy) g, esli v def. (po geyne) kompleksnoe chislo w0 nazivaetsya predelom f(z) zg, v tochke z0g, esli dlya {zn}z0 {f(zn)}w0. zamechanie. predpolagaetsya, chto z0 yavlyaetsya tochkoy sgusheniya (predelnoy tochkoy) g. neprerivnost funktsii kompleksnoy peremennoy. p.1. ponyatie predela (predelnogo znacheniya) funktsii kompleksnoy peremennoy v tochke. teorema. opredeleniya po geyne i po koshi ekvivalentni. zamechanie. eto opredelenie imeet smisl lish pri konechnix znacheniyax z0 i w0 v otlichie ot opredeleniya predela po geyne. def. (po koshi) kompleksnoe chislo w0 nazivaetsya predelom f(z) zg, v tochke z0g, esli dlya p.2. neprerivnost f(z). def. f(z), zg nazivaetsya neprerivnoy v tochke z0g, esli def. f(z), zg nazivaetsya neprerivnoy v tochke z0g, esli zamechanie 1. eto opredelenie verno kak dlya vnutrennix, tak i dlya granichnix tochek g. def. tochka z0 nazivaetsya izolirovannoy tochkoy v kotoroy net drugix tochek g. g, esli zamechanie 2. po opredeleniyu f(z) …

2 / 10

po koshi dlya f(z)c(g) dlya zadannogo  =(,z), t.e. gde  raznoe dlya raznix z. f(z)=u(x,y)+iv(x,y), u(x,y), v(x,y)- deystvitelnie funktsii deystvitelnix peremennix. teorema. neobxodimim i dostatochnim usloviem f(z)c(g) yavlyaetsya trebovanie, chtobi u(x,y) i v(x,y) bili neprerivni v oblasti g ploskosti (x,y) po sovokupnosti peremennix. p.3. ravnomernaya neprerivnost f(z). def. funktsiya kompleksnoy peremennoy f(z), zg nazivaetsya ravnomerno neprerivnoy v oblasti g, dlya >0 ()>0 (zavisyashee tolko ot ) takoe, chto dlya z1, z2  g : z1-z2 0 i z0 : g{z| |z-z0| 0 naydutsya xotya bi dve tochki takie, chto |z1(n)-z2(n)| 0. ustremiv n0, poluchim posledovatelnosti {z1(n)} i {z2(n)}, udovletvoryayushie dannim neravenstvam. t.k. {z1(n)} ogranichena po usloviyu, to iz nee mojno izvlech {z1(nk)}z1. pri etom {z2(nk)}- ogranichena i iz nee mojno izvlech {z2(nl)}z2. t.k. {z1(nl)}z1, a n0, to z1=z2, i v silu sdelannogo predpolojeniya |f(z1)-f(z2)|>0, chto protivorechit usloviyu neprerivnosti f(z)c(g).  ( ) : 0 g z z î $ …

3 / 10

neprerivnost funktsii kompleksnoy peremennoy - Page 3

4 / 10

neprerivnost funktsii kompleksnoy peremennoy - Page 4

5 / 10

neprerivnost funktsii kompleksnoy peremennoy - Page 5

Want to read more?

Download all 10 pages for free via Telegram.

Download full file

About "neprerivnost funktsii kompleksnoy peremennoy"

prezentatsiya powerpoint def. tochka z0g nazivaetsya tochkoy sgusheniya (predelnoy tochkoy) g, esli v def. (po geyne) kompleksnoe chislo w0 nazivaetsya predelom f(z) zg, v tochke z0g, esli dlya {zn}z0 {f(zn)}w0. zamechanie. predpolagaetsya, chto z0 yavlyaetsya tochkoy sgusheniya (predelnoy tochkoy) g. neprerivnost funktsii kompleksnoy peremennoy. p.1. ponyatie predela (predelnogo znacheniya) funktsii kompleksnoy peremennoy v tochke. teorema. opredeleniya po geyne i po koshi ekvivalentni. zamechanie. eto opredelenie imeet smisl lish pri konechnix znacheniyax z0 i w0 v otlichie ot opredeleniya predela po geyne. def. (po koshi) kompleksnoe chislo w0 nazivaetsya predelom f(z) zg, v tochke z0g, esli dlya p.2. neprerivnost f(z). def. f(z), zg nazivaetsya neprerivnoy v tochke z0g, esli ...

This file contains 10 pages in PPT format (203.0 KB). To download "neprerivnost funktsii kompleksnoy peremennoy", click the Telegram button on the left.

Tags: neprerivnost funktsii kompleksn… PPT 10 pages Free download Telegram