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155 lines
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<span>kmath</span> </a> </div>
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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><span class="current">PiecewisePolynomial</span></div>
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<div class="cover ">
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<h1 class="cover"><span>Piecewise</span><wbr><span><span>Polynomial</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">interface </span><a href="index.html">PiecewisePolynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator"> : </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a><span class="token operator"><</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">></span><span class="token operator">></span> : <a href="../-piecewise/index.html">Piecewise</a><span class="token operator"><</span><span class="token keyword"></span><a href="index.html">T</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="../-polynomial/index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">></span><span class="token operator">> </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/Piecewise.kt#L30">source</a>)</span></span></div><p class="paragraph">Represents piecewise-defined function where all the sub-functions are polynomials.</p></div></div>
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<div class="tabs-section" tabs-section="tabs-section"><button class="section-tab" data-active="" data-togglable="CONSTRUCTOR,TYPE,FUNCTION,PROPERTY">Members</button><button class="section-tab" data-togglable="CONSTRUCTOR,TYPE,FUNCTION,PROPERTY,EXTENSION_PROPERTY,EXTENSION_FUNCTION">Members & Extensions</button></div>
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<div class="tabs-section-body">
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<div data-togglable="FUNCTION">
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<h2 class="">Functions</h2>
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<div class="table"><a data-name="-1600883604%2FFunctions%2F-597741372" anchor-label="asFunction" id="-1600883604%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class="table-row" data-togglable="EXTENSION_FUNCTION" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="../as-function.html"><span>as</span><wbr><span><span>Function</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1600883604%2FFunctions%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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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">fun </span><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator"> : </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator">></span><span class="token punctuation">, </span><span class="token keyword"></span><a href="../as-function.html">C</a><span class="token operator"> : </span><a href="../../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator">></span><span class="token operator">> </span><a href="index.html">PiecewisePolynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../as-function.html"><span class="token function">asFunction</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">ring<span class="token operator">: </span><a href="../as-function.html">C</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><span class="token punctuation">(</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token punctuation">)</span><span class="token operator"> -> </span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator">?</span></div><div class="brief "><p class="paragraph">Convert this polynomial to a function returning nullable value (null if argument is outside piecewise range).</p></div><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">fun </span><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator"> : </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator">></span><span class="token punctuation">, </span><span class="token keyword"></span><a href="../as-function.html">C</a><span class="token operator"> : </span><a href="../../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator">></span><span class="token operator">> </span><a href="index.html">PiecewisePolynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../as-function.html"><span class="token function">asFunction</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">ring<span class="token operator">: </span><a href="../as-function.html">C</a><span class="token punctuation">, </span></span><span class="parameter ">defaultValue<span class="token operator">: </span><a href="../as-function.html">T</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><span class="token punctuation">(</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token punctuation">)</span><span class="token operator"> -> </span><span class="token keyword"></span><a href="../as-function.html">T</a></div><div class="brief "><p class="paragraph">Convert this polynomial to a function using <a href="../as-function.html">defaultValue</a> for arguments outside the piecewise range.</p></div></div></div>
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<a data-name="-1480882906%2FFunctions%2F-597741372" anchor-label="findPiece" id="-1480882906%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="find-piece.html"><span>find</span><wbr><span><span>Piece</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1480882906%2FFunctions%2F-597741372"></span>
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<div class="title">
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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">abstract </span><span class="token keyword">override </span><span class="token keyword">fun </span><a href="find-piece.html"><span class="token function">findPiece</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">arg<span class="token operator">: </span><a href="index.html">T</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../-polynomial/index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">></span><span class="token operator">?</span></div><div class="brief "><p class="paragraph">Returns the appropriate sub-function for given piece key.</p></div></div></div>
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<a data-name="-752172566%2FFunctions%2F-597741372" anchor-label="integrate" id="-752172566%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class="table-row" data-togglable="EXTENSION_FUNCTION" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="../../space.kscience.kmath.integration/integrate.html"><span><span>integrate</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-752172566%2FFunctions%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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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"><div class="block"><div class="block"><span class="token annotation builtin">@</span><a href="../../../kmath-memory/space.kscience.kmath/-unstable-k-math-a-p-i/index.html"><span class="token annotation builtin">UnstableKMathAPI</span></a></div></div><span class="token keyword"></span><span class="token keyword">fun </span><span class="token operator"><</span><span class="token keyword"></span><a href="../../space.kscience.kmath.integration/integrate.html">T</a><span class="token operator"> : </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a><span class="token operator"><</span><span class="token keyword"></span><a href="../../space.kscience.kmath.integration/integrate.html">T</a><span class="token operator">></span><span class="token operator">> </span><a href="index.html">PiecewisePolynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../../space.kscience.kmath.integration/integrate.html">T</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../../space.kscience.kmath.integration/integrate.html"><span class="token function">integrate</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">algebra<span class="token operator">: </span><a href="../../../kmath-core/space.kscience.kmath.operations/-field/index.html">Field</a><span class="token operator"><</span><span class="token keyword"></span><a href="../../space.kscience.kmath.integration/integrate.html">T</a><span class="token operator">></span></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="index.html">PiecewisePolynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../../space.kscience.kmath.integration/integrate.html">T</a><span class="token operator">></span></div><div class="brief "><p class="paragraph">Compute analytical indefinite integral of this <a href="index.html">PiecewisePolynomial</a>, keeping all intervals intact</p></div><div class="symbol monospace"><div class="block"><div class="block"><span class="token annotation builtin">@</span><a href="../../../kmath-memory/space.kscience.kmath/-unstable-k-math-a-p-i/index.html"><span class="token annotation builtin">UnstableKMathAPI</span></a></div></div><span class="token keyword"></span><span class="token keyword">fun </span><span class="token operator"><</span><span class="token keyword"></span><a href="../../space.kscience.kmath.integration/integrate.html">T</a><span class="token operator"> : </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a><span class="token operator"><</span><span class="token keyword"></span><a href="../../space.kscience.kmath.integration/integrate.html">T</a><span class="token operator">></span><span class="token operator">> </span><a href="index.html">PiecewisePolynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../../space.kscience.kmath.integration/integrate.html">T</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../../space.kscience.kmath.integration/integrate.html"><span class="token function">integrate</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">algebra<span class="token operator">: </span><a href="../../../kmath-core/space.kscience.kmath.operations/-field/index.html">Field</a><span class="token operator"><</span><span class="token keyword"></span><a href="../../space.kscience.kmath.integration/integrate.html">T</a><span class="token operator">></span><span class="token punctuation">, </span></span><span class="parameter ">range<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.ranges/-closed-range/index.html">ClosedRange</a><span class="token operator"><</span><span class="token keyword"></span><a href="../../space.kscience.kmath.integration/integrate.html">T</a><span class="token operator">></span></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../../space.kscience.kmath.integration/integrate.html">T</a></div><div class="brief "><p class="paragraph">Compute definite integral of given <a href="index.html">PiecewisePolynomial</a> piece by piece in a given <a href="../../space.kscience.kmath.integration/integrate.html">range</a> Requires <a href="../../space.kscience.kmath.integration/-univariate-integration-nodes/index.html">UnivariateIntegrationNodes</a> or <a href="../../space.kscience.kmath.integration/-integration-range/index.html">IntegrationRange</a> and <a href="../../space.kscience.kmath.integration/-integrand-max-calls/index.html">IntegrandMaxCalls</a></p></div></div></div>
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<a data-name="319599680%2FFunctions%2F-597741372" anchor-label="value" id="319599680%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class="table-row" data-togglable="EXTENSION_FUNCTION" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="../value.html"><span><span>value</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="319599680%2FFunctions%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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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">fun </span><span class="token operator"><</span><span class="token keyword"></span><a href="../value.html">T</a><span class="token operator"> : </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a><span class="token operator"><</span><span class="token keyword"></span><a href="../value.html">T</a><span class="token operator">></span><span class="token punctuation">, </span><span class="token keyword"></span><a href="../value.html">C</a><span class="token operator"> : </span><a href="../../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a><span class="token operator"><</span><span class="token keyword"></span><a href="../value.html">T</a><span class="token operator">></span><span class="token operator">> </span><a href="index.html">PiecewisePolynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../value.html">T</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../value.html"><span class="token function">value</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">ring<span class="token operator">: </span><a href="../value.html">C</a><span class="token punctuation">, </span></span><span class="parameter ">arg<span class="token operator">: </span><a href="../value.html">T</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../value.html">T</a><span class="token operator">?</span></div><div class="brief "><p class="paragraph">Return a value of polynomial function with given <a href="../value.html">ring</a> a given <a href="../value.html">arg</a> or null if argument is outside piecewise definition.</p></div></div></div>
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<div data-togglable="PROPERTY">
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<h2 class="">Properties</h2>
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<div class="table"><a data-name="392114131%2FProperties%2F-597741372" anchor-label="pieces" id="392114131%2FProperties%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="pieces.html"><span><span>pieces</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="392114131%2FProperties%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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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">abstract </span><span class="token keyword"></span><span class="token keyword">val </span><a href="pieces.html">pieces</a><span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-collection/index.html">Collection</a><span class="token operator"><</span><span class="token keyword"></span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-pair/index.html">Pair</a><span class="token operator"><</span><span class="token keyword"></span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.ranges/-closed-range/index.html">ClosedRange</a><span class="token operator"><</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">></span><span class="token punctuation">, </span><span class="token keyword"></span><a href="../-polynomial/index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">></span><span class="token operator">></span><span class="token operator">></span></div><div class="brief "><p class="paragraph">An ordered list of range-polynomial pairs. The list does not in general guarantee that there are no "holes" in it.</p></div></div></div>
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