kmath/kmath-functions/space.kscience.kmath.functions/-polynomial/coefficients.html

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<div class="breadcrumbs"><a href="../../index.html">kmath-functions</a><span class="delimiter">/</span><a href="../index.html">space.kscience.kmath.functions</a><span class="delimiter">/</span><a href="index.html">Polynomial</a><span class="delimiter">/</span><span class="current">coefficients</span></div>
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<h1 class="cover"><span><span>coefficients</span></span></h1>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-dependent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">val </span><a href="coefficients.html">coefficients</a><span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-list/index.html">List</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">C</a><span class="token operator">&gt;</span><span class="clearfix"><span class="floating-right">(<a href="https://github.com/SciProgCentre/kmath/tree/master/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/Polynomial.kt#L51">source</a>)</span></span></div><p class="paragraph">List that contains coefficients of the polynomial.</p><p class="paragraph">Every monomial \(a x^d\) is stored as a coefficient \(a\) placed into the list at index \(d\). For example, coefficients of a polynomial \(5 x^2 - 6\) can be represented as</p><div class="sample-container"><pre><code class="block lang-kotlin" theme="idea">listOf(<br> -6, // -6 +<br> 0, // 0 x +<br> 5, // 5 x^2<br>)</code></pre><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div><p class="paragraph">and also as</p><div class="sample-container"><pre><code class="block lang-kotlin" theme="idea">listOf(<br> -6, // -6 +<br> 0, // 0 x +<br> 5, // 5 x^2<br> 0, // 0 x^3<br> 0, // 0 x^4<br>)</code></pre><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div><p class="paragraph">It is not prohibited to put extra zeros at end of the list (as for \(0x^3\) and \(0x^4\) in the example). But the longer the coefficients list the worse performance of arithmetical operations performed on it. Thus, it is recommended not to put (or even to remove) extra (or useless) coefficients at the end of the coefficients list.</p><span class="kdoc-tag"><span class="kdoc-tag"></span></span></div></div>
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