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<Text-field style="Heading 1" layout="Normal">regular,</Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">adj.</Font>  <Font bold="true">1a.</Font><Font encoding="UTF-8"> (de uma figura geom\303\251trica) tendo todos os lados e \303\242ngulos iguais, como em um pol\303\255gono regular tal como o oct\303\241gono na figura abaixo. </Font><Font bold="true">b. </Font><Font encoding="UTF-8">(de um s\303\263lido geom\303\251trico) tendo pol\303\255gonos regulares como base. Um </Font><Font italic="true">poliedro regular</Font><Font encoding="UTF-8">, tal como o tetraedro regular mostrado em perspectiva na segunda figura abaixo, tem pol\303\255gonos regulares id\303\252nticos como bases, fazendo \303\242ngulos iguais com um outro: um </Font><Font italic="true">prisma regular  </Font><Font encoding="UTF-8">tem pol\303\255gonos regulares como bases; e uma <Font italic="true">pir\303\242mide regular </Font> tem um pol\303\255gono regular como sua base e seu v\303\251rtice perpendicularmente acima do centro da base.
</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" encoding="UTF-8">Oct\303\241gono regular e tetraedro regular.</Font></Text-field>
<Text-field style="Text" layout="Normal"> <Font bold="true">2.</Font><Font encoding="UTF-8">  (de uma fun\303\247\303\243o complexa) outra palavra para </Font><Hyperlink linktarget="Dictionary:Definition/analytic" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">anal\303\255tica</Font></Hyperlink>.  <Font bold="true">3.</Font><Font encoding="UTF-8">  (de um espa\303\247o topol\303\263gico) tal que um ponto e um conjunto disjunto fechado podem ser </Font><Hyperlink linktarget="Dictionary:Definition/separated" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">separados</Font></Hyperlink> por conjuntos abertos; equivalentemente, para cada <Hyperlink linktarget="Dictionary:Definition/neighborhood" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">vizinhan\303\247a</Font></Hyperlink><Font encoding="UTF-8"> de um ponto, existe uma outra vizinhan\303\247a do ponto cujo fechamento \303\251 contido na dada vizinhan\303\247a. </Font><Font italic="true">Regularidade completa</Font><Font encoding="UTF-8">  \303\251 caracterizada pela separa\303\247\303\243o por funcionais cont\303\255nuos: se </Font><Font italic="true">p </Font><Font family="MaplePi" encoding="UTF-8">\303\217</Font><Font encoding="UTF-8">V com V fechado em X, existe uma fun\303\247\303\243o cont\303\255nuo</Font><Font italic="true"> f </Font>: X <Font family="MaplePi" encoding="UTF-8">\302\256</Font> [0, 1] tal que <Font italic="true">f</Font>(V) = 1 e <Font italic="true">f</Font>(<Font italic="true">p</Font>) = 0. Compare <Hyperlink linktarget="Dictionary:Definition/normal" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">normal</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/T-axioms" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">T-axioma</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/Tietzesextensiontheorem" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">teorema da extens\303\243o de Tietze</Font></Hyperlink>.  <Font bold="true">4.</Font> (de uma curva) possuindo nenhum <Hyperlink linktarget="Dictionary:Definition/singularpoint" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">ponto singular</Font></Hyperlink>, tendo somente <Hyperlink linktarget="Dictionary:Definition/ordinarypoint" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">pontos ordin\303\241rios</Font></Hyperlink>.  <Font bold="true">5.</Font><Font encoding="UTF-8"> (de um m\303\251todo de somat\303\263rio) dando a soma correta para uma s\303\251rie convergente ou sequ\303\252ncia, como oposi\303\247\303\243o a m\303\251todos </Font><Font italic="true">conservativos</Font><Font encoding="UTF-8">  que mant\303\251m converg\303\252ncia, mas que podem mudar o valor do limite. Veja </Font><Hyperlink linktarget="Dictionary:Definition/Tauberian" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">condi\303\247\303\243o Tauberiana</Font></Hyperlink><Font encoding="UTF-8">. Veja tamb\303\251m </Font><Hyperlink linktarget="Dictionary:Definition/Abelsummation" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">somat\303\263rio de Abel</Font></Hyperlink> e <Hyperlink linktarget="Dictionary:Definition/Cesarosummation" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">somat\303\263rio de Cesaro</Font></Hyperlink>. <Font bold="true">6.</Font> (de um <Hyperlink linktarget="Dictionary:Definition/outermeasure" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">medida externa</Font></Hyperlink><Font encoding="UTF-8">) tal que todo conjunto E, \303\251 contido em um subconjunto </Font><Hyperlink linktarget="Dictionary:Definition/measurable" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">mensur\303\241vel</Font></Hyperlink> A, de mesma medida: <Font family="MaplePi">m</Font>(A) = <Font family="MaplePi">m</Font>*(E).  <Font bold="true">7.</Font> (de uma <Hyperlink linktarget="Dictionary:Definition/Borelmeasure" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">medida de Borel</Font></Hyperlink> sobre um <Hyperlink linktarget="Dictionary:Definition/Hausdorffspace" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">espa\303\247o de Hausdorff</Font></Hyperlink><Font encoding="UTF-8"> localmente compacto) atribuindo u\303\247ma medida finita para cada conjunto compacto e tal que
(i) a medida de qualquer conjunto Borel \303\251 o \303\255nfimo das medidas de conjuntos mensur\303\241veis </Font><Hyperlink linktarget="Dictionary:Definition/open" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">abertos</Font></Hyperlink> contidos num dado conjunto, e
<Font encoding="UTF-8">(ii) a medida de cada conjunto aberto \303\251 o supremo das medidas de conjutos </Font><Hyperlink linktarget="Dictionary:Definition/compact" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">compactp</Font></Hyperlink> contidos num dado conjunto.
<Font encoding="UTF-8">Quando X \303\251 compaco, (i) implica (ii), e se cada subconjunto aberto de X \303\251 </Font><Hyperlink linktarget="Dictionary:Definition/sigma-compact" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">sigma-compacto</Font></Hyperlink><Font encoding="UTF-8"> (como quando X \303\251 metrizable compacto), \303\251 suficiente para cada conjunto compacto para ter medida finita. </Font><Font bold="true">8.</Font>  (de um <Hyperlink linktarget="Dictionary:Definition/graph" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">gr\303\241fico</Font></Hyperlink>) tendo cada <Hyperlink linktarget="Dictionary:Definition/vertex" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">v\303\251rtice</Font></Hyperlink> de mesmo grau. <Font bold="true">9.</Font>  (de uma <Hyperlink linktarget="Dictionary:Definition/action" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">a\303\247\303\243o</Font></Hyperlink> de um grupo sobre um conjunto) tal como o conjunto precisamente uma <Hyperlink linktarget="Dictionary:Definition/orbit" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">\303\263rbita</Font></Hyperlink><Font encoding="UTF-8"> sobre o grupo de a\303\247\303\243o, e o </Font><Hyperlink linktarget="Dictionary:Definition/stabilizer" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">estabilizador</Font></Hyperlink><Font encoding="UTF-8"> de cada elemento do conjunto \303\251 trivial. </Font><Font bold="true">10.</Font>  (de um elemento de um <Hyperlink linktarget="Dictionary:Definition/ring" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">anel</Font></Hyperlink><Font encoding="UTF-8">) tal que o seu produto \303\240 esquerda ou \303\240 direita com qualquer elemento n\303\243o nulo do anel \303\251 n\303\243o nulo; ou seja, </Font><Font italic="true">x</Font><Font encoding="UTF-8"> \303\251 regular se e somente se para todo o </Font><Font italic="true">r</Font> <Font family="MaplePi" encoding="UTF-8">\303\216</Font>R, ou <Font italic="true">rx</Font> = 0 ou <Font italic="true">xr</Font> = 0 somente se <Font italic="true">r</Font><Font encoding="UTF-8"> = 0. Por exemplo, cada elemento n\303\243o nulo de um dom\303\255nio integral \303\251 regular.</Font></Text-field>
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