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<p>f(x) is a function that satisfies the two properties:</p>

<p>
* <a href="page.php?w=Additive_map">Additivity</a>: 1=''f''(''x'' + ''y'') = ''f''(''x'') + ''f''(''y'').<br/>
* <a href="page.php?w=Homogeneous_function">Homogeneity</a> of degree 1: 1=''f''(?''x'') = ? ''f''(''x'') for all ?.</p>

<p>These properties are known as the <a href="page.php?w=superposition_principle">superposition principle</a>. In this definition, x is not necessarily a <a href="page.php?w=real_number">real number</a>, but can in general be an <a href="page.php?w=element_%28mathematics%29">element</a></p><p>
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