# Connexions

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# Analízis

Module by: Daniel Tüzes. E-mail the author

Summary: Simon Lászlóval

| a+b c+d a+b c+d |=| ( a+b )/( c+d ) ( a+b )/( c+d ) |=| a+b a+b |=| 1 |=1 | q |:= 1 | z | =| 1 a+ib |=| 1 a+ib aib aib |=| aib a 2 + b 2 |= a 2 + b 2 a 4 + b 4 ( a b )( c d )=ac+db | a+b c+d a+b c+d |=| ( a+b )/( c+d ) ( a+b )/( c+d ) |=| a+b a+b |=| 1 |=1 | q |:= 1 | z | =| 1 a+ib |=| 1 a+ib aib aib |=| aib a 2 + b 2 |= a 2 + b 2 a 4 + b 4 ( a b )( c d )=ac+db

The quick brown fox jumps over the lazy dog, as árvíztűrő tükörfúrógép.
aabcdeefghiijklmnooopqrstuuuuvwxyz
aábcdeéfghiíjklmnoöőpqrstuúüűvwxyz
aabcdeefghiijklmnooopqrstuuuuvwxyz
aábcdeéfghiíjklmnoöőpqrstuúüűvwxyz ac+db some text ac+db some text

Lemma: legyen egyszerű, szakaszonként folytonosan differenciálható görbe, s legyenek folytonos függvények. Tfh a sor egyenletesen konvergens. Ekkor ifi is folytonos (valósban bizonyítottuk, de állítás, hogy komplexben is így van). Ekkor valami van, vagyis az integrálás és az összegzés felcserélhető.

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