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<Text-field style="Heading 1" layout="Normal"><Font encoding="UTF-8">cont\303\255nuo,</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">adj.</Font> <Font bold="true">1a.</Font> <Font encoding="UTF-8">(de uma fun\303\247\303\243o) informalmente, tendo um valor que muda gradualmente \303\240 medida que a vari\303\241vel </Font>independente ou <Font encoding="UTF-8">vari\303\241veis</Font> alteram, de modo que a cada valor,  <Font italic="true">a</Font>, <Font encoding="UTF-8">da vari\303\241vel independente, a diferen\303\247a entre</Font> <Font italic="true">f</Font>(<Font italic="true">x</Font>) e  <Font italic="true">f</Font>(<Font italic="true">a</Font>) se aproxima de zero quando  <Font italic="true">x</Font> aborda <Font italic="true">a</Font>. <Font encoding="UTF-8">Mais formalmente, uma fun\303\247\303\243o real</Font> <Font italic="true">y</Font> = <Font italic="true">f</Font>(<Font italic="true">x</Font>)  <Font encoding="UTF-8">\303\251 cont\303\255nua em um ponto</Font> <Font italic="true">a</Font>  <Font encoding="UTF-8">se e somente se ela \303\251 definida em</Font>  <Font italic="true">x</Font> = <Font italic="true">a</Font>  e </Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>, 
<Font encoding="UTF-8">isto \303\251, precisamente, se</Font> 
  para cada  <Font family="MaplePi">e</Font> <Font family="MaplePi">&gt;</Font> 0 existe um  <Font family="MaplePi">d</Font> <Font family="MaplePi">&gt;</Font> 0 tal que 
  | <Font italic="true">f</Font>(<Font italic="true">x</Font>) - <Font italic="true">f</Font>(<Font italic="true">a</Font>) | <Font family="MaplePi">&lt;</Font> <Font family="MaplePi">e</Font> para todo <Font italic="true">x</Font> tal que  | <Font italic="true">x</Font> - <Font italic="true">a</Font> | <Font family="MaplePi">&lt;</Font> <Font family="MaplePi">d</Font>. 
<Font encoding="UTF-8">Uma fun\303\247\303\243o \303\251</Font>  <Font encoding="UTF-8" italic="true">cont\303\255nua \303\240 esquerda</Font>  <Font encoding="UTF-8">no ponto se a condi\303\247\303\243o acima cont\303\251m apenas para valores de</Font> <Font italic="true">x</Font>  menor que  <Font italic="true">a</Font>  e <Font encoding="UTF-8" italic="true">cont\303\255nua \303\240 direita</Font>  se ela vale para valores maiores que <Font italic="true">a</Font>; <Font encoding="UTF-8">\303\251 cont\303\255nua em um ponto, se e somente se \303\251 cont\303\255nua tanto \303\240 esquerda e \303\240 direita nesse ponto</Font>. <Font encoding="UTF-8">A fun\303\247\303\243o em si \303\251 dita cont\303\255nua se for cont\303\255nua em todos os pontos. A fun\303\247\303\243o \303\251 dita</Font> <Font encoding="UTF-8" italic="true">uniformemente cont\303\255nua</Font> em um conjunto, se o valor de <Font family="MaplePi">d</Font>  depende apenas de <Font family="MaplePi">e</Font><Font encoding="UTF-8">  e n\303\243o \303\251 ponto </Font><Font italic="true">a</Font> em um conjunto. <Font bold="true">b.</Font> <Font encoding="UTF-8">(de uma curva), representando uma fun\303\247\303\243o cont\303\255nua</Font>. <Font bold="true">2.</Font> <Font encoding="UTF-8">(de uma fun\303\247\303\243o definida entre espa\303\247os m\303\251tricos), com a propriedade an\303\241loga que</Font>  <Font italic="true">y</Font> = <Font italic="true">f</Font>(<Font italic="true">x</Font>) <Font encoding="UTF-8">\303\251 cont\303\255nua em um ponto</Font>  <Font italic="true">p</Font> <Font encoding="UTF-8">se e somente se ela \303\251 definida em</Font>  <Font italic="true">x</Font> = <Font italic="true">p</Font>  e
    para cada <Font family="MaplePi">e</Font> <Font family="MaplePi">&gt;</Font> 0 existe um <Font family="MaplePi">d</Font> <Font family="MaplePi">&gt;</Font> 0 tal que 
    <Font italic="true">d</Font>(<Font italic="true">f</Font>(<Font italic="true">x</Font>), <Font italic="true">f</Font>(<Font italic="true">p</Font>)) <Font family="MaplePi">&lt;</Font> <Font family="MaplePi">e</Font> para todo <Font italic="true">x</Font> tal que <Font italic="true">d</Font>(<Font italic="true">x, p</Font>) <Font family="MaplePi">&lt;</Font> <Font family="MaplePi">d</Font>, 
<Font encoding="UTF-8">ou na anota\303\247\303\243o </Font><Hyperlink linktarget="Dictionary:Definition/neighborhood" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">vizinhan\303\247a</Font></Hyperlink>, se 
    para cada <Font family="MaplePi">e</Font> <Font family="MaplePi">&gt;</Font> 0 existe um <Font family="MaplePi">d</Font> <Font family="MaplePi">&gt;</Font> 0 tal que 
    <Font italic="true">f</Font>(<Font italic="true">x</Font>) <Font family="MaplePi" encoding="UTF-8">\303\216</Font> <Font italic="true">N</Font>(<Font family="MaplePi">e</Font>, <Font italic="true">f</Font>(<Font italic="true">p</Font>)) para todo <Font italic="true">x</Font> tal que <Font italic="true">x</Font> <Font family="MaplePi" encoding="UTF-8">\303\216</Font> <Font italic="true">N</Font>(<Font family="MaplePi">d</Font>, <Font italic="true">p</Font>). 
Se para todo <Font italic="true">p</Font> em um conjunto, o valor de <Font family="MaplePi">d</Font>  depende apenas de  <Font family="MaplePi">e</Font>  <Font encoding="UTF-8">e n\303\243o no espec\303\255fico ponto</Font> <Font italic="true">p</Font>,  <Font encoding="UTF-8">a fun\303\247\303\243o \303\251 dita</Font>  <Font encoding="UTF-8" italic="true">uniformemente cont\303\255nua</Font> em um conjunto. <Font encoding="UTF-8">Toda fun\303\247\303\243o cont\303\255nua definida em um conjunto</Font> <Hyperlink linktarget="Dictionary:Definition/compact" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">compacto</Font></Hyperlink> <Font encoding="UTF-8">\303\251 uniformemente cont\303\255nuo nela</Font>. <Font bold="true">3.</Font> (<Font encoding="UTF-8">de uma fun\303\247\303\243o</Font>  <Font italic="true">f</Font>  <Font encoding="UTF-8">entre espa\303\247os topol\303\263gicos, em um ponto</Font> <Font italic="true">p</Font>) <Font encoding="UTF-8">em termos mais gerais tendo a propriedade que \303\251 dada qualquer</Font> <Hyperlink linktarget="Dictionary:Definition/neighborhood" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">vizinhan\303\247a</Font></Hyperlink>  <Font italic="true">V</Font>  se <Font italic="true">f</Font>(<Font italic="true">p</Font>),  existe uma <Font encoding="UTF-8">vizinhan\303\247a </Font><Font italic="true">U</Font>  de  <Font italic="true">p</Font> com  <Font italic="true">f</Font>(<Font italic="true">U</Font>) dentro de  <Font italic="true">V</Font>. <Font encoding="UTF-8">Uma fun\303\247\303\243o \303\251 cont\303\255nua </Font>em cada ponto exatamente se a <Hyperlink linktarget="Dictionary:Definition/inverseimage" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">imagem inversa</Font></Hyperlink> de um conjunto <Hyperlink linktarget="Dictionary:Definition/open" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">aberto</Font></Hyperlink><Font encoding="UTF-8">, \303\251 aberto (</Font>e de todo conjunto <Hyperlink linktarget="Dictionary:Definition/closed" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">fechado</Font></Hyperlink><Font encoding="UTF-8"> \303\251 fechado). Isto reduz a defini\303\247\303\243o anterior, quando os espa\303\247os topol\303\263gicos s\303\243o m\303\251tricos. Veja tamb\303\251m</Font> <Hyperlink linktarget="Dictionary:Definition/limit" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">limite</Font></Hyperlink>), <Hyperlink linktarget="Dictionary:Definition/differentiable" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">diferenci\303\241veis</Font></Hyperlink>. <Font bold="true">4.</Font> (Es<Font encoding="UTF-8" italic="true">tat\303\255sticas</Font>) (de uma <Hyperlink linktarget="Dictionary:Definition/randomvariable" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">vari\303\241vel aleat\303\263ria</Font></Hyperlink> ou <Hyperlink linktarget="Dictionary:Definition/randomvector" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">vetor aleat\303\263rio</Font></Hyperlink><Font encoding="UTF-8"> n\303\243o </Font><Hyperlink linktarget="Dictionary:Definition/discrete" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">discreta </Font></Hyperlink><Font encoding="UTF-8">; tendo valores poss\303\255veis cont\303\255nuos para que a sua distribui\303\247\303\243o exige integra\303\247\303\243o em vez de soma para determinar sua </Font><Hyperlink linktarget="Dictionary:Definition/cumulativeprobability" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">probabilidade cumulativa</Font></Hyperlink>). <Font bold="true">5.</Font> (de uma <Hyperlink linktarget="Dictionary:Definition/measure" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">medida</Font></Hyperlink> ou <Hyperlink linktarget="Dictionary:Definition/measurering" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">medida anelar</Font></Hyperlink> uma outra palavra para <Hyperlink linktarget="Dictionary:Definition/non-atomic" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">n\303\243o-at\303\264mica</Font></Hyperlink>.</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Worksheet>