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<Text-field style="Heading 1" layout="Normal"><Font encoding="UTF-8">parti\303\247\303\243o,</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">n.</Font>  <Font bold="true">1a.</Font> um conjunto de subclasses <Hyperlink linktarget="Dictionary:Definition/disjoint" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">disjuntas</Font></Hyperlink> e <Hyperlink linktarget="Dictionary:Definition/exhaustive" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">exhaustive</Font></Hyperlink> (completo) de uma determinada classe que dividi a forma de cada membro de uma determinada classe em membros exatos de subclasses. <Font encoding="UTF-8">Tal divis\303\243o \303\251 poss\303\255vel se e somente se existir uma </Font> <Hyperlink linktarget="Dictionary:Definition/equivalencerelation" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">rela\303\247\303\243o de equival\303\252ncia</Font></Hyperlink> que relaciona dois elementos da classe base se e somente se eles forem membros da mesma subclasse. <Font encoding="UTF-8">Por exemplo,  apartir de dois inteiros s\303\243o congruentes no modulo</Font> <Font italic="true">n</Font> <Font encoding="UTF-8">se e somente se a sua diferen\303\247a for divis\303\255vel por</Font> <Font italic="true">n</Font>, <Font encoding="UTF-8">congru\303\252ncia</Font> mod <Font italic="true">n</Font> seja reflexiva (<Font italic="true">a</Font><Font family="MaplePi" encoding="UTF-8">\302\272</Font><Font italic="true">a</Font>  para todo <Font italic="true">a</Font>), transitiva (se <Font italic="true">a</Font><Font family="MaplePi" encoding="UTF-8">\302\272</Font><Font italic="true">b</Font>  e <Font italic="true">b</Font><Font family="MaplePi" encoding="UTF-8">\302\272</Font><Font italic="true">c</Font>, em seguida <Font italic="true">a</Font><Font family="MaplePi" encoding="UTF-8">\302\272</Font><Font italic="true">c</Font>), <Font encoding="UTF-8">e sim\303\251trica</Font> (<Font italic="true">a</Font><Font family="MaplePi" encoding="UTF-8">\302\272</Font><Font italic="true">b</Font>  se e somente se <Font italic="true">b</Font><Font family="MaplePi" encoding="UTF-8">\302\272</Font><Font italic="true">a</Font>), <Font encoding="UTF-8">de modo que esta \303\251 uma rela\303\247\303\243o de equival\303\252ncia, da\303\255 prova de uma vez, que cada inteiro tem um pequeno resto \303\272nico positivo quando divididos por</Font> <Font italic="true">n</Font>, <Font encoding="UTF-8">e assim \303\251 congruente</Font> mod <Font italic="true">n </Font><Font encoding="UTF-8">para apenas um dos n\303\272meros inteiros entre</Font> 0 e <Font italic="true">n</Font> - 1, <Font encoding="UTF-8">essas classes de congru\303\252ncia s\303\243o ambas</Font> disjuntivas e exhaustive (completa) <Font encoding="UTF-8">de todos os n\303\272meros inteiros, e assim constituir uma parti\303\247\303\243o deles. Veja tamb\303\251m</Font> <Hyperlink linktarget="Dictionary:Definition/cover" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">covering</Font></Hyperlink>(cobertura). <Font bold="true">b.</Font> <Font encoding="UTF-8">Tal divis\303\243o de uma classe em um conjunto de subconjuntos</Font>. <Font bold="true">2. </Font> <Font encoding="UTF-8">uma divis\303\243o de um n\303\272mero inteiro positivo dado integra\303\247\303\243o por partes positiva. Por exemplo,</Font>
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 <Font encoding="UTF-8">exibe os sete parti\303\247\303\265es poss\303\255vel de</Font> 5.  <Font encoding="UTF-8">Veja tamb\303\251m a</Font> <Hyperlink linktarget="Dictionary:Definition/partitionfunction" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">fun\303\247\303\243o de parti\303\247\303\243o</Font></Hyperlink>. <Font bold="true">3. </Font><Font encoding="UTF-8">uma divis\303\243o de uma dada matriz em submatrizes</Font> <Hyperlink linktarget="Dictionary:Definition/conformable" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">conformable</Font></Hyperlink>(semelhantes).   <Font bold="true">4. </Font> <Font encoding="UTF-8">uma sequ\303\252ncia finita de pontos</Font> {<Font italic="true">x<Font subscript="true">k </Font></Font>} de um determinado intervalo [<Font italic="true">a, b</Font>] tal que 
<Font italic="true">a  =  x<Font subscript="true">1</Font></Font> &lt; <Font italic="true">x<Font subscript="true">2</Font></Font> &lt; ... &lt; <Font italic="true">x<Font subscript="true">n</Font></Font>  =  <Font italic="true">b</Font> 
<Font encoding="UTF-8">Uma parti\303\247\303\243o de um intervalo, portanto, gera um n\303\272mero finito de subintervalos que s\303\243o disjuntos.</Font></Text-field>
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