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height: 109px; padding: 0px; font-family: Arial, Helvetica; } .logolink { position: relative; width: 260px; height: 60px; top: 20px; left: 8px; float: left; font-family: Arial, Helvetica, sans-serif; } .logolink h1 { color: #000; font-size: 17px; font-weight: bold; letter-spacing: 2px; float:left; top:-60px; margin:0; margin-left:80px; position:relative; font-family: Arial, Helvetica, sans-serif; } .top { outline: none; margin: 0px; padding: 0px; font-family: Arial, Helvetica, sans-serif; font-size: 12px; } </style><div class="Top"> <div class="logolink"><a title="Back to homepage" href="http://www.iec.ch/"> <img title="www.iec.ch" alt=" www.iec.ch" src="/img/logo.jpg"></a> <h1>International</h1> <h1>Electrotechnical</h1> <h1>Commission</h1> </div> </div> <table width="100%" border="0" cellspacing="0" cellpadding="0"> <tr valign="top"><td width="1%" valign="middle"><img width="65" height="1" src="/icons/ecblank.gif" border="0" alt=""><br> </td><td width="1%"><img width="19" height="1" src="/icons/ecblank.gif" border="0" alt=""><br> </td><td width="46%" valign="middle"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""><br> </td><td width="1%"><img width="19" height="1" src="/icons/ecblank.gif" border="0" alt=""><br> </td><td width="54%"><img width="1" height="1" src="/icons/ecblank.gif" border="0" alt=""><br> </td></tr> </table> <div align="right"><font size="2" face="Arial"> </font><a href="&login"></a></div> <table style="width: 100%; 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Please </font><a href="mailto:custserv@iec.ch"><font size="2" face="Arial">contact us</font></a><font size="2" face="Arial">.</font></div></td></tr> </table> <br> <input type="button" value=" Home " class="hide" style="font-size: 11px;" onclick="window.open('/iev/iev.nsf/6d6bdd8667c378f7c12581fa003d80e7?OpenForm', document._domino_target);"> <input type="button" onclick="history.back()" value=" Back " class="hide" style="font-size: 11px;"> <input type="button" onclick="printWindow()" value=" Print " class="hide" style="font-size: 11px;"><font face=""><br> <br> <table cellpadding="1" cellspacing="0" border="0" border="0" cellspacing="0" cellpadding="0"> <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> <tr valign="top"><td width="699" colspan="4"><hr></td></tr> <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> <tr valign="top"><td width="699" colspan="4"><hr></td></tr> <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> <tr valign="top"><td width="699" colspan="4"><hr></td></tr> <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> <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">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> <tr valign="top"><td width="699" colspan="4"><hr></td></tr> <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> <tr></tr> <tr></tr> <tr></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">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> <tr valign="top"><td width="699" colspan="4"><hr></td></tr> <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> <tr valign="top"><td width="699" colspan="4"><hr></td></tr> <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> </table> </font><hr> <table width="100%" border="0" cellspacing="0" cellpadding="0"> <tr valign="top"><td width="25%"><a href="/iev/iev.nsf/display?openform&ievref=103-01-02&login"></a><font color="#800080">Publication date:</font> 2009-12 </td><td width="75%"><div align="right"><a 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