<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1870-3542</journal-id>
<journal-title><![CDATA[Revista mexicana de física E]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fís. E]]></abbrev-journal-title>
<issn>1870-3542</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1870-35422015000100006</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Understanding the arithmetic of color]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Medina Márquez]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Balderas-Mata]]></surname>
<given-names><![CDATA[S.E.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Zúñiga Islas]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Instituto Nacional de Astrofísica, Optica y Electrónica  ]]></institution>
<addr-line><![CDATA[Puebla ]]></addr-line>
<country>México</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad de Guadalajara Centro Universitario de Ciencias Exactas e Ingenierías Departamento de Electrónica]]></institution>
<addr-line><![CDATA[Guadalajara Jalisco]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2015</year>
</pub-date>
<volume>61</volume>
<numero>1</numero>
<fpage>28</fpage>
<lpage>30</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1870-35422015000100006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1870-35422015000100006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1870-35422015000100006&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[In this work we propose to introduce Arithmetic for the Mixture of Colors, which can be defined from dividing the electromagnetic spectrum of white light in three thirds, and by associating each of them to an algebraic expression of the three primary additive and subtractive colors. Then, we will give the rules for adding or subtracting to predict the new mixture of resultant colors.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Mixture of colors]]></kwd>
<kwd lng="en"><![CDATA[chromatic arithmetic]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="justify"><font face="verdana" size="4">Educaci&oacute;n</font></p> 	    <p align="justify">&nbsp;</p> 	    <p align="center"><font face="verdana" size="4"><b>Understanding the arithmetic of color</b></font></p> 	    <p align="justify">&nbsp;</p> 	    <p align="center"><font face="verdana" size="2"><b>J. Medina M&aacute;rquez<sup>a</sup>*, S.E. Balderas&#45;Mata<sup>b</sup>, and C. Z&uacute;&ntilde;iga Islas<sup>a</sup></b></font></p> 	    <p align="justify">&nbsp;</p> 	    <p align="justify"><font face="verdana" size="2"><i><sup>a</sup> Instituto Nacional de Astrof&iacute;sica, &Oacute;ptica y Electr&oacute;nica, Luis Enrique Erro No. 1 Sta. Ma. Tonantzintla, Puebla, 72840 Pue. M&eacute;xico. </i>e&#45;mail: *<a href="mailto:jmedina@inaoep.mx">jmedina@inaoep.mx</a>; <a href="mailto:czuniga@inaoep.mx">czuniga@inaoep.mx</a></font></p> 	    <p align="justify"><font face="verdana" size="2"><i><sup>b</sup> Universidad de Guadalajara, CUCEI, Departamento de Electr&oacute;nica, Blvd. Marcelino Garc&iacute;a Barrag&aacute;n # 1421, Guadalajara, Jalisco, M&eacute;xico, 44430.</i> e&#45;mail: <a href="mailto:sandra.balderas@cucei.udg.mx">sandra.balderas@cucei.udg.mx</a></font></p> 	    <p align="justify">&nbsp;</p> 	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">Received 13 January 2015;    <br>     Accepted 26 January 2015</font></p> 	    <p align="justify">&nbsp;</p> 	    <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p> 	    <p align="justify"><font face="verdana" size="2">In this work we propose to introduce Arithmetic for the Mixture of Colors, which can be defined from dividing the electromagnetic spectrum of white light in three thirds, and by associating each of them to an algebraic expression of the three primary additive and subtractive colors. Then, we will give the rules for adding or subtracting to predict the new mixture of resultant colors.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Keywords:</b> Mixture of colors; chromatic arithmetic.</font></p>     <p align="justify">&nbsp;</p>     <p align="justify"><font face="verdana" size="2">PACS: 01.40.E, 01.40.eg, 01.40ek</font></p>     <p align="justify">&nbsp;</p>     <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmfe/v61n1/v61n1a6.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>     ]]></body>
<body><![CDATA[<p align="justify">&nbsp;</p>     <p align="justify"><font face="verdana" size="2"><b>References</b></font></p>     <!-- ref --><p align="justify"><font face="verdana" size="2">1. L.R. Daniel, <i>El color y su medici&oacute;n,</i> 1era. Edici&oacute;n (Am&eacute;rica  Lee, Buenos Aires, 1978).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8462913&pid=S1870-3542201500010000600001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref -->&nbsp;&nbsp;</font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">2. Billmeyer and Saltzman's, <i>Principles of color Technology,</i> Third Edition (Roy S. Berns, John Wiley and Sons Inc., New York, 2000).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8462915&pid=S1870-3542201500010000600002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>     <!-- ref --><p align="justify"><font face="verdana" size="2">3. H.M. Leo, <i>Color Vision, </i>(Sinauer Associates Inc. Publishers Sunderland, Massachusetts, 1981).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8462917&pid=S1870-3542201500010000600003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>      ]]></body><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Daniel]]></surname>
<given-names><![CDATA[L.R.]]></given-names>
</name>
</person-group>
<source><![CDATA[El color y su medición]]></source>
<year>1978</year>
<edition>1</edition>
<publisher-loc><![CDATA[Buenos Aires ]]></publisher-loc>
<publisher-name><![CDATA[América Lee]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Berns]]></surname>
<given-names><![CDATA[Roy S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Billmeyer and Saltzman's, Principles of color Technology]]></source>
<year>2000</year>
<edition>Third</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[John Wiley and Sons Inc.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leo]]></surname>
<given-names><![CDATA[H.M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Color Vision]]></source>
<year>1981</year>
<publisher-loc><![CDATA[Sunderland^eMassachusetts Massachusetts]]></publisher-loc>
<publisher-name><![CDATA[Sinauer Associates Inc. Publishers]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
