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‎pull/3053/_modules/dpnp/dpnp_iface_mathematical.html‎

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@@ -6113,9 +6113,9 @@ <h1>Source code for dpnp.dpnp_iface_mathematical</h1><div class="highlight"><pre
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<span class="sd"> Integrate `y` (`x`) along each 1d slice on the given axis, compute</span>
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<span class="sd"> :math:`\int y(x) dx`.</span>
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<span class="sd"> When `x` is specified, this integrates along the parametric curve,</span>
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<span class="sd"> computing :math:`\int_t y(t) dt =</span>
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<span class="sd"> \int_t y(t) \left.\frac{dx}{dt}\right|_{x=x(t)} dt`.</span>
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<span class="sd"> When `x` is specified, this integrates along the parametric curve :math:`C`</span>
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<span class="sd"> given by :math:`(x(t), y(t))`, computing the line integral</span>
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<span class="sd"> :math:`\int_C y \, dx = \int y(t) \frac{dx}{dt} \, dt`.</span>
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<span class="sd"> For full documentation refer to :obj:`numpy.trapezoid`.</span>
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<span class="sd"> Returns</span>
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<span class="sd"> -------</span>
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<span class="sd"> out : dpnp.ndarray</span>
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<span class="sd"> Definite integral of `y` = n-dimensional array as approximated along</span>
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<span class="sd"> a single axis by the trapezoidal rule. The result is an `n`-1</span>
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<span class="sd"> dimensional array.</span>
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<span class="sd"> Definite integral of `y` = n-dimensional array as approximated along a</span>
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<span class="sd"> single axis by the trapezoidal rule. The result is an `n`-1 dimensional</span>
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<span class="sd"> array.</span>
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<span class="sd"> See Also</span>
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<span class="sd"> --------</span>

‎pull/3053/reference/comparison.html‎

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<h1>Comparison Table NumPy/ DPNP/ CuPy<a class="headerlink" href="#comparison-table-numpy-dpnp-cupy" title="Link to this heading">¶</a></h1>
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<p>Here is a list of NumPy and CuPy APIs and its corresponding DPNP implementations.</p>
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<p><code class="docutils literal notranslate"><span class="pre">-</span></code> in DPNP column means that DPNP implementation is not provided yet.</p>
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<p><strong>NumPy(v2.5.2) / DPNP(v0.21.0dev7+17.g6f4c5de637c) / CuPy(v14.2.0) APIs</strong></p>
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<p><strong>NumPy(v2.5.2) / DPNP(v0.21.0dev7+20.g5f0f81c8bc8) / CuPy(v14.2.0) APIs</strong></p>
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<section id="summary">
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<h2>Summary<a class="headerlink" href="#summary" title="Link to this heading">¶</a></h2>
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<div class="table-wrapper docutils container">

‎pull/3053/reference/generated/dpnp.linalg.LinAlgError.html‎

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@@ -1057,7 +1057,7 @@ <h1>dpnp.linalg.LinAlgError<a class="headerlink" href="#dpnp-linalg-linalgerror"
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<dt class="sig sig-object py" id="dpnp.linalg.LinAlgError">
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<span class="property"><span class="k"><span class="pre">exception</span></span><span class="w"> </span></span><span class="sig-prename descclassname"><span class="pre">dpnp.linalg.</span></span><span class="sig-name descname"><span class="pre">LinAlgError</span></span><a class="headerlink" href="#dpnp.linalg.LinAlgError" title="Link to this definition"></a></dt>
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<dd><p>Generic Python-exception-derived object raised by LinAlg functions.</p>
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<p>For full documentation refer to <a class="reference external" href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.LinAlgError.html#scipy.linalg.LinAlgError" title="(in SciPy v1.18.0)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">numpy.linalg.LinAlgError</span></code></a>.</p>
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<p>For full documentation refer to <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.linalg.LinAlgError.html#numpy.linalg.LinAlgError" title="(in NumPy v2.5)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">numpy.linalg.LinAlgError</span></code></a>.</p>
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<p>General purpose exception class, derived from Python's <code class="docutils literal notranslate"><span class="pre">ValueError</span></code> class,
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programmatically raised in LinAlg functions when a Linear Algebra-related
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condition would prevent further correct execution of the function.</p>

‎pull/3053/reference/generated/dpnp.scipy.linalg.lu.html‎

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diagonal elements, and <cite>U</cite> is upper triangular. If <cite>permute_l</cite> is set to
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<code class="docutils literal notranslate"><span class="pre">True</span></code> then <cite>L</cite> is returned already permuted and hence satisfying
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<code class="docutils literal notranslate"><span class="pre">A</span> <span class="pre">=</span> <span class="pre">L</span> <span class="pre">&#64;</span> <span class="pre">U</span></code>.</p>
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<p>For full documentation refer to <a class="reference external" href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.lu.html#scipy.linalg.lu" title="(in SciPy v1.18.0)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.linalg.lu</span></code></a>.</p>
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<p>For full documentation refer to <code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.linalg.lu</span></code>.</p>
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<dl class="field-list simple">
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<dt class="field-odd">Parameters<span class="colon">:</span></dt>
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<dd class="field-odd"><ul class="simple">

‎pull/3053/reference/generated/dpnp.scipy.linalg.lu_factor.html‎

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</div>
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<p>where <cite>P</cite> is a permutation matrix, <cite>L</cite> is lower triangular with unit
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diagonal elements, and <cite>U</cite> is upper triangular.</p>
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<p>For full documentation refer to <a class="reference external" href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.lu_factor.html#scipy.linalg.lu_factor" title="(in SciPy v1.18.0)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.linalg.lu_factor</span></code></a>.</p>
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<p>For full documentation refer to <code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.linalg.lu_factor</span></code>.</p>
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<dl class="field-list simple">
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<dt class="field-odd">Parameters<span class="colon">:</span></dt>
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<dd class="field-odd"><ul class="simple">

‎pull/3053/reference/generated/dpnp.scipy.linalg.lu_solve.html‎

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<dt class="sig sig-object py" id="dpnp.scipy.linalg.lu_solve">
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<span class="sig-prename descclassname"><span class="pre">dpnp.scipy.linalg.</span></span><span class="sig-name descname"><span class="pre">lu_solve</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">lu_and_piv</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">trans</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">overwrite_b</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">check_finite</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="../../_modules/dpnp/scipy/linalg/_decomp_lu.html#lu_solve"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#dpnp.scipy.linalg.lu_solve" title="Link to this definition"></a></dt>
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<dd><p>Solve a linear system, <span class="math notranslate nohighlight">\(a x = b\)</span>, given the LU factorization of <cite>a</cite>.</p>
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<p>For full documentation refer to <a class="reference external" href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.lu_solve.html#scipy.linalg.lu_solve" title="(in SciPy v1.18.0)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.linalg.lu_solve</span></code></a>.</p>
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<p>For full documentation refer to <code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.linalg.lu_solve</span></code>.</p>
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<dl class="field-list simple">
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<dt class="field-odd">Parameters<span class="colon">:</span></dt>
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<dd class="field-odd"><ul class="simple">

‎pull/3053/reference/generated/dpnp.scipy.special.erf.html‎

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<span class="sig-prename descclassname"><span class="pre">dpnp.scipy.special.</span></span><span class="sig-name descname"><span class="pre">erf</span></span><span class="property"><span class="w"> </span><span class="p"><span class="pre">=</span></span><span class="w"> </span><span class="pre">&lt;DPNPUnaryFunc</span> <span class="pre">'erf'&gt;</span></span><a class="headerlink" href="#dpnp.scipy.special.erf" title="Link to this definition"></a></dt>
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<dd><p>Calculates the Gauss error function of a given input array.</p>
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<p>It is defined as <span class="math notranslate nohighlight">\(\frac{2}{\sqrt{\pi}} \int_{0}^{z} e^{-t^2} \, dt\)</span>.</p>
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<p>For full documentation refer to <a class="reference external" href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.erf.html#scipy.special.erf" title="(in SciPy v1.18.0)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.special.erf</span></code></a>.</p>
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<p>For full documentation refer to <code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.special.erf</span></code>.</p>
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<dl class="field-list simple">
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<dt class="field-odd">Parameters<span class="colon">:</span></dt>
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<dd class="field-odd"><ul class="simple">

‎pull/3053/reference/generated/dpnp.scipy.special.erfc.html‎

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<span class="sig-prename descclassname"><span class="pre">dpnp.scipy.special.</span></span><span class="sig-name descname"><span class="pre">erfc</span></span><span class="property"><span class="w"> </span><span class="p"><span class="pre">=</span></span><span class="w"> </span><span class="pre">&lt;DPNPUnaryFunc</span> <span class="pre">'erfc'&gt;</span></span><a class="headerlink" href="#dpnp.scipy.special.erfc" title="Link to this definition"></a></dt>
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<dd><p>Calculates the complementary error function of a given input array.</p>
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<p>It is defined as <span class="math notranslate nohighlight">\(1 - \operatorname{erf}(x)\)</span>.</p>
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<p>For full documentation refer to <a class="reference external" href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.erfc.html#scipy.special.erfc" title="(in SciPy v1.18.0)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.special.erfc</span></code></a>.</p>
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<p>For full documentation refer to <code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.special.erfc</span></code>.</p>
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<dl class="field-list simple">
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<dt class="field-odd">Parameters<span class="colon">:</span></dt>
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<dd class="field-odd"><ul class="simple">

‎pull/3053/reference/generated/dpnp.scipy.special.erfcinv.html‎

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<dd><p>Calculates the inverse of the complementary error function of a given input
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array.</p>
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<p>It is defined as <span class="math notranslate nohighlight">\(\operatorname{erfinv}(1 - x)\)</span>.</p>
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<p>For full documentation refer to <a class="reference external" href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.erfcinv.html#scipy.special.erfcinv" title="(in SciPy v1.18.0)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.special.erfcinv</span></code></a>.</p>
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<p>For full documentation refer to <code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.special.erfcinv</span></code>.</p>
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<dl class="field-list simple">
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<dt class="field-odd">Parameters<span class="colon">:</span></dt>
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<dd class="field-odd"><ul class="simple">

‎pull/3053/reference/generated/dpnp.scipy.special.erfcx.html‎

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<span class="sig-prename descclassname"><span class="pre">dpnp.scipy.special.</span></span><span class="sig-name descname"><span class="pre">erfcx</span></span><span class="property"><span class="w"> </span><span class="p"><span class="pre">=</span></span><span class="w"> </span><span class="pre">&lt;DPNPUnaryFunc</span> <span class="pre">'erfcx'&gt;</span></span><a class="headerlink" href="#dpnp.scipy.special.erfcx" title="Link to this definition"></a></dt>
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<dd><p>Calculates the scaled complementary error function of a given input array.</p>
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<p>It is defined as <span class="math notranslate nohighlight">\(\exp(x^2) * \operatorname{erfc}(x)\)</span>.</p>
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<p>For full documentation refer to <a class="reference external" href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.erfcx.html#scipy.special.erfcx" title="(in SciPy v1.18.0)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.special.erfcx</span></code></a>.</p>
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<p>For full documentation refer to <code class="xref py py-obj docutils literal notranslate"><span class="pre">scipy.special.erfcx</span></code>.</p>
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<dl class="field-list simple">
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<dt class="field-odd">Parameters<span class="colon">:</span></dt>
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<dd class="field-odd"><ul class="simple">

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