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<Text-field style="Heading 1" layout="Normal"><Font encoding="UTF-8">fun\303\247\303\243o peri\303\263dica,</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">n.  </Font><Font bold="true">1.</Font><Font encoding="UTF-8"> uma fun\303\247\303\243o com valores que s\303\243o repetidas para todas integrais multiplas de um aumento da constante da vari\303\241vel independente. Por exemplo, como na figura: </Font></Text-field>
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<Text-field style="Text" layout="Normal"> 
sin<Font family="MaplePi">q</Font>=  sin(<Font family="MaplePi">q </Font>+ 2<Font family="MaplePi">p</Font>)  = sin(<Font family="MaplePi">q</Font> + 4<Font family="MaplePi">p</Font>),.... 

<Font bold="true">2.</Font> <Font bold="true" encoding="UTF-8">fun\303\247\303\243o peri\303\263dica dupla</Font><Font bold="true">.</Font><Font encoding="UTF-8"> uma fun\303\247\303\243o complexa com dois periodos minimos diferentes de zero, </Font><Font family="MaplePi">w</Font><Font subscript="true">1</Font> e <Font family="MaplePi">w</Font><Font subscript="true">2</Font><Font encoding="UTF-8">, que s\303\243o n\303\243o colineares no sentido de que um n\303\243o \303\251 um m\303\272ltiplo real do outro. Todos os per\303\255odos s\303\243o da forma </Font><Font italic="true">n</Font><Font family="MaplePi">w</Font><Font subscript="true">1</Font> + <Font italic="true">m</Font><Font family="MaplePi">w</Font><Font subscript="true">2</Font> para inteiros <Font italic="true">m</Font>  e <Font italic="true">n</Font>, de modo que
<Font italic="true">f</Font>(<Font italic="true">z </Font>+ <Font italic="true">n</Font><Font family="MaplePi">w</Font><Font subscript="true">1</Font> + <Font italic="true">m</Font><Font family="MaplePi">w</Font><Font subscript="true">2</Font>) =  <Font italic="true">f</Font>(<Font italic="true">z</Font>). 
Qualquer paralelogramo com cantos
<Font italic="true">z</Font>,  <Font italic="true">z </Font>+<Font family="MaplePi">w</Font><Font subscript="true">1</Font>,  <Font italic="true">z</Font> + <Font family="MaplePi">w</Font><Font subscript="true">2</Font>,<Font italic="true">  z </Font>+ <Font family="MaplePi">w</Font><Font subscript="true">1</Font> + <Font family="MaplePi">w</Font><Font subscript="true">2</Font><Font encoding="UTF-8"> 
\303\251 chamado um paralelogramo fundamental ou um paralelogramo de per\303\255odos para esta fun\303\247\303\243o. Ver tamb\303\251m </Font><Hyperlink linktarget="Dictionary:Definition/ellipticfunction" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">elliptic function</Font></Hyperlink>.</Text-field>
</Worksheet>