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		<id>https://en.formulasearchengine.com/w/index.php?title=Symmetric_mean_absolute_percentage_error&amp;diff=24658</id>
		<title>Symmetric mean absolute percentage error</title>
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		<summary type="html">&lt;p&gt;122.176.66.59: &lt;/p&gt;
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&lt;div&gt;{{expert-subject|Physics|date=September 2009}}&lt;br /&gt;
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The theory of &#039;&#039;&#039;response reactions&#039;&#039;&#039; (RERs) or response equilibria was elaborated for the [[thermodynamic]] systems in which more than one equilibrium is established simultaneously.&amp;lt;ref&amp;gt;1. Fishtik, I.; Nagypál, I.; Gutman, I. J. Chem. Soc. Farady Trans. 1995, 91, 259-267. [http://www.rsc.org/Publishing/Journals/FT/article.asp?doi=FT9959100259]&lt;br /&gt;
&amp;lt;/ref&amp;gt; It is based on  detailed analysis of the [[Hessian determinant]]. The theory derives the sensitivity coefficient as the sum of the contributions of individual RERs. Thus all phenomena which are in apparent contradiction to the [[Le Chatelier principle]] could be interpreted. With the help of RERs the equilibrium coupling was defined.&amp;lt;ref&amp;gt;[http://pubs.acs.org/doi/abs/10.1021/jp060951k Hoffmann E. A.; Nagypál I. Phys. Chem. B. 2006, 110, 10581-10584]&lt;br /&gt;
&amp;lt;/ref&amp;gt; RERs could be derived based either on the species.&amp;lt;ref&amp;gt;[http://www.rsc.org/publishing/journals/CP/article.asp?doi=b101725j Hoffmann E. A.; Nagypál, I. Phys. Chem. Chem. Phys. 2001, 3, 3107-3113]&amp;lt;/ref&amp;gt; or on the stoichiometrically independent reactions of a parallel system. The set of RERs is unambiguous in a given system; and the number of them (M) is  &amp;lt;math&amp;gt;S \choose C+1&amp;lt;/math&amp;gt;, where S denotes the number of species and C refers to the number of components. In the case of [[three-component system]]s, RERs can be visualized on a triangle diagram.&amp;lt;ref&amp;gt;Nagypál I.; Hoffmann E.; Gutman I.; Fishtik I. Pure &amp;amp; Appl. Chem. 1998, 70, 583-590.[http://www.iupac.org/publications/pac/1998/pdf/7003x0583.pdf]&amp;lt;/ref&amp;gt;&lt;br /&gt;
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==References==&lt;br /&gt;
&amp;lt;!--- See [[Wikipedia:Footnotes]] on how to create references using &amp;lt;ref&amp;gt;&amp;lt;/ref&amp;gt; tags which will then appear here automatically --&amp;gt;&lt;br /&gt;
{{reflist}}&lt;br /&gt;
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{{DEFAULTSORT:Response Reactions}}&lt;br /&gt;
[[Category:Thermodynamics]]&lt;/div&gt;</summary>
		<author><name>122.176.66.59</name></author>
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