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<tr valign="top"><td width="57"><b><font size="2" color="#800080" face="Arial">Area</font></b></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><b><font size="2" face="Arial"> </font></b><a href=index?openform&part=103>Mathematics - Functions</a> / General concepts</td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="699" colspan="4"><hr></td></tr>
<tr valign="top"><td width="57"><b><font size="2" color="#800080" face="Arial">IEV ref</font></b></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><b>103-01-02</b></td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="699" colspan="4"><hr></td></tr>
<tr valign="top"><td width="57"><div align="center"><font color="#800080">en</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> <b>functional</b> </td><td class="hide" width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> function for which the argument is a function and the value a number<p>Note 1 to entry: An example of a functional of the function <i>f</i>(<i>t</i>) is <math> <semantics> <mrow> <mstyle displaystyle='true'> <mrow> <msubsup> <mo>∫</mo> <mrow> <msub> <mi>t</mi> <mn>2</mn> </msub> </mrow> <mrow> <msub> <mi>t</mi> <mn>1</mn> </msub> </mrow> </msubsup> <mrow> <mi>f</mi><mo stretchy='false'>(</mo><mi>t</mi><mo stretchy='false'>)</mo><mo>d</mo><mi>t</mi></mrow> </mrow> </mstyle></mrow> <annotation encoding='MathType-MTEF'>MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaapedabaGaamOzai aacIcacaWG0bGaaiykaKqzaeGaaiizaOGaamiDaaWcbaGaamiDamaa BaaameaacaaIYaaabeaaaSqaaiaadshadaWgaaadbaGaaGymaaqaba aaniabgUIiYdaaaa@40DD@ </annotation> </semantics> </math>. </td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="699" colspan="4"><hr></td></tr>
<tr valign="top"><td width="57"><div align="center"><font color="#800080">fr</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> <b>fonctionnelle</b>, f </td><td class="hide" width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> fonction dont l'argument est une fonction et la valeur un nombre <p>Note 1 à l'article: Un exemple de fonctionnelle de la fonction <i>f</i>(<i>t</i>) est <math> <semantics> <mrow> <mstyle displaystyle='true'> <mrow> <msubsup> <mo>∫</mo> <mrow> <msub> <mi>t</mi> <mn>2</mn> </msub> </mrow> <mrow> <msub> <mi>t</mi> <mn>1</mn> </msub> </mrow> </msubsup> <mrow> <mi>f</mi><mo stretchy='false'>(</mo><mi>t</mi><mo stretchy='false'>)</mo><mo>d</mo><mi>t</mi></mrow> </mrow> </mstyle></mrow> <annotation encoding='MathType-MTEF'>MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaapedabaGaamOzai aacIcacaWG0bGaaiykaKqzaeGaaiizaOGaamiDaaWcbaGaamiDamaa BaaameaacaaIYaaabeaaaSqaaiaadshadaWgaaadbaGaaGymaaqaba aaniabgUIiYdaaaa@40DD@ </annotation> </semantics> </math>. </td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
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<tr valign="top"><td width="57"><div align="center"><font color="#800080">ar</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td style="direction:rtl; text-align:left" width="567"> دالى </td><td class="hide" width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="699" colspan="4"><hr></td></tr>
<tr valign="top"><td width="57"><div align="center"><font color="#800080">de</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> Funktional, n </td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
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<tr valign="top"><td width="57"><div align="center"><font color="#800080">es</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> funcional </td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
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<tr valign="top"><td width="57"><div align="center"><font color="#800080">it</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> funzionale </td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
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<tr valign="top"><td width="57"><div align="center"><font color="#800080" face="Arial">ko</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> 범함수 </td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
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<tr valign="top"><td width="57"><div align="center"><font color="#800080">ja</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td lang="ja-jp" width="567"> 汎関数 </td><td class="hide" width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
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<tr valign="top"><td width="57"><div align="center"><font color="#800080" face="Arial">pl</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> funkcjonał </td><td class="hide" width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="699" colspan="4"><hr></td></tr>
<tr valign="top"><td width="57"><div align="center"><font color="#800080" face="Arial">pt</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> funcional </td><td class="hide" width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
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<tr valign="top"><td width="57"><div align="center"><font color="#800080">sr</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> функционал, м јд </td><td width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
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<tr valign="top"><td width="57"><div align="center"><font color="#800080">sv</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> funktional </td><td class="hide" width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
<tr valign="top"><td width="699" colspan="4"><hr></td></tr>
<tr valign="top"><td width="57"><div align="center"><font color="#800080" face="Arial">zh</font></div></td><td width="19"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td><td width="567"> 泛函 </td><td class="hide" width="57"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""></td></tr>
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