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<title>pyerrors.input.dobs API documentation</title>
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<title>pyerrors.input.hadrons API documentation</title>
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<title>pyerrors.integrate API documentation</title>
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<title>pyerrors.linalg API documentation</title>
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<style>/*! * Bootstrap Reboot v5.0.0 (https://getbootstrap.com/) * Copyright 2011-2021 The Bootstrap Authors * Copyright 2011-2021 Twitter, Inc. * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE) * Forked from Normalize.css, licensed MIT (https://github.com/necolas/normalize.css/blob/master/LICENSE.md) */*,::after,::before{box-sizing:border-box}@media (prefers-reduced-motion:no-preference){:root{scroll-behavior:smooth}}body{margin:0;font-family:system-ui,-apple-system,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans","Liberation Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";font-size:1rem;font-weight:400;line-height:1.5;color:#212529;background-color:#fff;-webkit-text-size-adjust:100%;-webkit-tap-highlight-color:transparent}hr{margin:1rem 0;color:inherit;background-color:currentColor;border:0;opacity:.25}hr:not([size]){height:1px}h1,h2,h3,h4,h5,h6{margin-top:0;margin-bottom:.5rem;font-weight:500;line-height:1.2}h1{font-size:calc(1.375rem + 1.5vw)}@media (min-width:1200px){h1{font-size:2.5rem}}h2{font-size:calc(1.325rem + .9vw)}@media (min-width:1200px){h2{font-size:2rem}}h3{font-size:calc(1.3rem + .6vw)}@media (min-width:1200px){h3{font-size:1.75rem}}h4{font-size:calc(1.275rem + .3vw)}@media (min-width:1200px){h4{font-size:1.5rem}}h5{font-size:1.25rem}h6{font-size:1rem}p{margin-top:0;margin-bottom:1rem}abbr[data-bs-original-title],abbr[title]{-webkit-text-decoration:underline dotted;text-decoration:underline dotted;cursor:help;-webkit-text-decoration-skip-ink:none;text-decoration-skip-ink:none}address{margin-bottom:1rem;font-style:normal;line-height:inherit}ol,ul{padding-left:2rem}dl,ol,ul{margin-top:0;margin-bottom:1rem}ol ol,ol ul,ul ol,ul ul{margin-bottom:0}dt{font-weight:700}dd{margin-bottom:.5rem;margin-left:0}blockquote{margin:0 0 1rem}b,strong{font-weight:bolder}small{font-size:.875em}mark{padding:.2em;background-color:#fcf8e3}sub,sup{position:relative;font-size:.75em;line-height:0;vertical-align:baseline}sub{bottom:-.25em}sup{top:-.5em}a{color:#0d6efd;text-decoration:underline}a:hover{color:#0a58ca}a:not([href]):not([class]),a:not([href]):not([class]):hover{color:inherit;text-decoration:none}code,kbd,pre,samp{font-family:SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace;font-size:1em;direction:ltr;unicode-bidi:bidi-override}pre{display:block;margin-top:0;margin-bottom:1rem;overflow:auto;font-size:.875em}pre code{font-size:inherit;color:inherit;word-break:normal}code{font-size:.875em;color:#d63384;word-wrap:break-word}a>code{color:inherit}kbd{padding:.2rem .4rem;font-size:.875em;color:#fff;background-color:#212529;border-radius:.2rem}kbd kbd{padding:0;font-size:1em;font-weight:700}figure{margin:0 0 1rem}img,svg{vertical-align:middle}table{caption-side:bottom;border-collapse:collapse}caption{padding-top:.5rem;padding-bottom:.5rem;color:#6c757d;text-align:left}th{text-align:inherit;text-align:-webkit-match-parent}tbody,td,tfoot,th,thead,tr{border-color:inherit;border-style:solid;border-width:0}label{display:inline-block}button{border-radius:0}button:focus:not(:focus-visible){outline:0}button,input,optgroup,select,textarea{margin:0;font-family:inherit;font-size:inherit;line-height:inherit}button,select{text-transform:none}[role=button]{cursor:pointer}select{word-wrap:normal}select:disabled{opacity:1}[list]::-webkit-calendar-picker-indicator{display:none}[type=button],[type=reset],[type=submit],button{-webkit-appearance:button}[type=button]:not(:disabled),[type=reset]:not(:disabled),[type=submit]:not(:disabled),button:not(:disabled){cursor:pointer}::-moz-focus-inner{padding:0;border-style:none}textarea{resize:vertical}fieldset{min-width:0;padding:0;margin:0;border:0}legend{float:left;width:100%;padding:0;margin-bottom:.5rem;font-size:calc(1.275rem + .3vw);line-height:inherit}@media (min-width:1200px){legend{font-size:1.5rem}}legend+*{clear:left}::-webkit-datetime-edit-day-field,::-webkit-datetime-edit-fields-wrapper,::-webkit-datetime-edit-hour-field,::-webkit-datetime-edit-minute,::-webkit-datetime-edit-month-field,::-webkit-datetime-edit-text,::-webkit-datetime-edit-year-field{padding:0}::-webkit-inner-spin-button{height:auto}[type=search]{outline-offset:-2px;-webkit-appearance:textfield}::-webkit-search-decoration{-webkit-appearance:none}::-webkit-color-swatch-wrapper{padding:0}::file-selector-button{font:inherit}::-webkit-file-upload-button{font:inherit;-webkit-appearance:button}output{display:inline-block}iframe{border:0}summary{display:list-item;cursor:pointer}progress{vertical-align:baseline}[hidden]{display:none!important}</style>
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|
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|
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@ -3,7 +3,7 @@
|
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<head>
|
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<meta charset="utf-8">
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1">
|
||||
<meta name="generator" content="pdoc 14.3.0"/>
|
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<meta name="generator" content="pdoc 14.4.0"/>
|
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<title>pyerrors.special API documentation</title>
|
||||
|
||||
<style>/*! * Bootstrap Reboot v5.0.0 (https://getbootstrap.com/) * Copyright 2011-2021 The Bootstrap Authors * Copyright 2011-2021 Twitter, Inc. * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE) * Forked from Normalize.css, licensed MIT (https://github.com/necolas/normalize.css/blob/master/LICENSE.md) */*,::after,::before{box-sizing:border-box}@media (prefers-reduced-motion:no-preference){:root{scroll-behavior:smooth}}body{margin:0;font-family:system-ui,-apple-system,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans","Liberation Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";font-size:1rem;font-weight:400;line-height:1.5;color:#212529;background-color:#fff;-webkit-text-size-adjust:100%;-webkit-tap-highlight-color:transparent}hr{margin:1rem 0;color:inherit;background-color:currentColor;border:0;opacity:.25}hr:not([size]){height:1px}h1,h2,h3,h4,h5,h6{margin-top:0;margin-bottom:.5rem;font-weight:500;line-height:1.2}h1{font-size:calc(1.375rem + 1.5vw)}@media (min-width:1200px){h1{font-size:2.5rem}}h2{font-size:calc(1.325rem + .9vw)}@media (min-width:1200px){h2{font-size:2rem}}h3{font-size:calc(1.3rem + .6vw)}@media (min-width:1200px){h3{font-size:1.75rem}}h4{font-size:calc(1.275rem + .3vw)}@media (min-width:1200px){h4{font-size:1.5rem}}h5{font-size:1.25rem}h6{font-size:1rem}p{margin-top:0;margin-bottom:1rem}abbr[data-bs-original-title],abbr[title]{-webkit-text-decoration:underline dotted;text-decoration:underline dotted;cursor:help;-webkit-text-decoration-skip-ink:none;text-decoration-skip-ink:none}address{margin-bottom:1rem;font-style:normal;line-height:inherit}ol,ul{padding-left:2rem}dl,ol,ul{margin-top:0;margin-bottom:1rem}ol ol,ol ul,ul ol,ul ul{margin-bottom:0}dt{font-weight:700}dd{margin-bottom:.5rem;margin-left:0}blockquote{margin:0 0 1rem}b,strong{font-weight:bolder}small{font-size:.875em}mark{padding:.2em;background-color:#fcf8e3}sub,sup{position:relative;font-size:.75em;line-height:0;vertical-align:baseline}sub{bottom:-.25em}sup{top:-.5em}a{color:#0d6efd;text-decoration:underline}a:hover{color:#0a58ca}a:not([href]):not([class]),a:not([href]):not([class]):hover{color:inherit;text-decoration:none}code,kbd,pre,samp{font-family:SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace;font-size:1em;direction:ltr;unicode-bidi:bidi-override}pre{display:block;margin-top:0;margin-bottom:1rem;overflow:auto;font-size:.875em}pre code{font-size:inherit;color:inherit;word-break:normal}code{font-size:.875em;color:#d63384;word-wrap:break-word}a>code{color:inherit}kbd{padding:.2rem .4rem;font-size:.875em;color:#fff;background-color:#212529;border-radius:.2rem}kbd kbd{padding:0;font-size:1em;font-weight:700}figure{margin:0 0 1rem}img,svg{vertical-align:middle}table{caption-side:bottom;border-collapse:collapse}caption{padding-top:.5rem;padding-bottom:.5rem;color:#6c757d;text-align:left}th{text-align:inherit;text-align:-webkit-match-parent}tbody,td,tfoot,th,thead,tr{border-color:inherit;border-style:solid;border-width:0}label{display:inline-block}button{border-radius:0}button:focus:not(:focus-visible){outline:0}button,input,optgroup,select,textarea{margin:0;font-family:inherit;font-size:inherit;line-height:inherit}button,select{text-transform:none}[role=button]{cursor:pointer}select{word-wrap:normal}select:disabled{opacity:1}[list]::-webkit-calendar-picker-indicator{display:none}[type=button],[type=reset],[type=submit],button{-webkit-appearance:button}[type=button]:not(:disabled),[type=reset]:not(:disabled),[type=submit]:not(:disabled),button:not(:disabled){cursor:pointer}::-moz-focus-inner{padding:0;border-style:none}textarea{resize:vertical}fieldset{min-width:0;padding:0;margin:0;border:0}legend{float:left;width:100%;padding:0;margin-bottom:.5rem;font-size:calc(1.275rem + .3vw);line-height:inherit}@media (min-width:1200px){legend{font-size:1.5rem}}legend+*{clear:left}::-webkit-datetime-edit-day-field,::-webkit-datetime-edit-fields-wrapper,::-webkit-datetime-edit-hour-field,::-webkit-datetime-edit-minute,::-webkit-datetime-edit-month-field,::-webkit-datetime-edit-text,::-webkit-datetime-edit-year-field{padding:0}::-webkit-inner-spin-button{height:auto}[type=search]{outline-offset:-2px;-webkit-appearance:textfield}::-webkit-search-decoration{-webkit-appearance:none}::-webkit-color-swatch-wrapper{padding:0}::file-selector-button{font:inherit}::-webkit-file-upload-button{font:inherit;-webkit-appearance:button}output{display:inline-block}iframe{border:0}summary{display:list-item;cursor:pointer}progress{vertical-align:baseline}[hidden]{display:none!important}</style>
|
||||
|
|
@ -351,6 +351,9 @@ t^{a-1}(1-t)^{b-1}dt,$$</p>
|
|||
|
||||
<p>for \( 0 \leq x \leq 1 \).</p>
|
||||
|
||||
<p>This function is the cumulative distribution function for the beta
|
||||
distribution; its range is [0, 1].</p>
|
||||
|
||||
<h6 id="parameters">Parameters</h6>
|
||||
|
||||
<ul>
|
||||
|
|
@ -372,7 +375,9 @@ Optional output array for the function values</li>
|
|||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code><a href="#beta">beta</a></code>: beta function <br />
|
||||
<code>betaincinv</code>: inverse of the regularized incomplete beta function </p>
|
||||
<code>betaincinv</code>: inverse of the regularized incomplete beta function <br />
|
||||
<code>betaincc</code>: complement of the regularized incomplete beta function <br />
|
||||
<code>scipy.stats.beta</code>: beta distribution </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
|
|
@ -1159,6 +1164,12 @@ Optional output array for the function values</li>
|
|||
<li><strong>scalar or ndarray</strong>: Values of the lower incomplete gamma function</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code><a href="#gammaincc">gammaincc</a></code>: regularized upper incomplete gamma function <br />
|
||||
<code>gammaincinv</code>: inverse of the regularized lower incomplete gamma function <br />
|
||||
<code>gammainccinv</code>: inverse of the regularized upper incomplete gamma function </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The function satisfies the relation <code>gammainc(a, x) +
|
||||
|
|
@ -1167,12 +1178,6 @@ incomplete gamma function.</p>
|
|||
|
||||
<p>The implementation largely follows that of [boost]_.</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>gammaincc : regularized upper incomplete gamma function
|
||||
gammaincinv : inverse of the regularized lower incomplete gamma function
|
||||
gammainccinv : inverse of the regularized upper incomplete gamma function</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<p>.. [dlmf] NIST Digital Library of Mathematical functions
|
||||
|
|
@ -1268,6 +1273,12 @@ Optional output array for the function values</li>
|
|||
<li><strong>scalar or ndarray</strong>: Values of the upper incomplete gamma function</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code><a href="#gammainc">gammainc</a></code>: regularized lower incomplete gamma function <br />
|
||||
<code>gammaincinv</code>: inverse of the regularized lower incomplete gamma function <br />
|
||||
<code>gammainccinv</code>: inverse of the regularized upper incomplete gamma function </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The function satisfies the relation <code>gammainc(a, x) +
|
||||
|
|
@ -1276,12 +1287,6 @@ incomplete gamma function.</p>
|
|||
|
||||
<p>The implementation largely follows that of [boost]_.</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>gammainc : regularized lower incomplete gamma function
|
||||
gammaincinv : inverse of the regularized lower incomplete gamma function
|
||||
gammainccinv : inverse of the regularized upper incomplete gamma function</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<p>.. [dlmf] NIST Digital Library of Mathematical functions
|
||||
|
|
@ -1382,17 +1387,17 @@ Optional output array for the function values</li>
|
|||
<li><strong>scalar or ndarray</strong>: Sign of the gamma function</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The gamma function can be computed as <code>gammasgn(x) *
|
||||
np.exp(gammaln(x))</code>.</p>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code><a href="#gamma">gamma</a></code>: the gamma function <br />
|
||||
<code><a href="#gammaln">gammaln</a></code>: log of the absolute value of the gamma function <br />
|
||||
<code>loggamma</code>: analytic continuation of the log of the gamma function </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The gamma function can be computed as <code>gammasgn(x) *
|
||||
np.exp(gammaln(x))</code>.</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<p>.. [dlmf] NIST Digital Library of Mathematical Functions
|
||||
|
|
@ -1489,6 +1494,10 @@ Optional output array for the function results</li>
|
|||
<li><strong>scalar or ndarray</strong>: Function results</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code>gamma,</code>, <code>gammaln,</code>, <code>loggamma</code> </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The gamma function has no zeros and has simple poles at
|
||||
|
|
@ -1496,10 +1505,6 @@ nonpositive integers, so <code><a href="#rgamma">rgamma</a></code> is an entire
|
|||
at the nonpositive integers. See the discussion in [dlmf]_ for
|
||||
more details.</p>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code>gamma,</code>, <code>gammaln,</code>, <code>loggamma</code> </p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<p>.. [dlmf] Nist, Digital Library of Mathematical functions,
|
||||
|
|
@ -1719,6 +1724,11 @@ Optional output array for the function values</li>
|
|||
Value of the Bessel function of the first kind of order 0 at <code>x</code>.</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code>jv</code>: Bessel function of real order and complex argument. <br />
|
||||
<code>spherical_jn</code>: spherical Bessel functions. </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The domain is divided into the intervals [0, 5] and (5, infinity). In the
|
||||
|
|
@ -1737,11 +1747,6 @@ two rational functions of degree 6/6 and 7/7.</p>
|
|||
It should not be confused with the spherical Bessel functions (see
|
||||
<code>spherical_jn</code>).</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>jv : Bessel function of real order and complex argument.
|
||||
spherical_jn : spherical Bessel functions.</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<h6 id="examples">Examples</h6>
|
||||
|
|
@ -1840,6 +1845,11 @@ Optional output array for the function results</li>
|
|||
Value of the Bessel function of the second kind of order 0 at <code>x</code>.</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code><a href="#j0">j0</a></code>: Bessel function of the first kind of order 0 <br />
|
||||
<code>yv</code>: Bessel function of the first kind </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The domain is divided into the intervals [0, 5] and (5, infinity). In the
|
||||
|
|
@ -1855,11 +1865,6 @@ two rational functions of degree 6/6 and 7/7.</p>
|
|||
|
||||
<p>This function is a wrapper for the Cephes <sup class="footnote-ref" id="fnref-1"><a href="#fn-1">1</a></sup> routine <code><a href="#y0">y0</a></code>.</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>j0: Bessel function of the first kind of order 0
|
||||
yv: Bessel function of the first kind</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<h6 id="examples">Examples</h6>
|
||||
|
|
@ -1958,6 +1963,11 @@ Optional output array for the function values</li>
|
|||
Value of the Bessel function of the first kind of order 1 at <code>x</code>.</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code>jv</code>: Bessel function of the first kind <br />
|
||||
<code>spherical_jn</code>: spherical Bessel functions. </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The domain is divided into the intervals [0, 8] and (8, infinity). In the
|
||||
|
|
@ -1969,11 +1979,6 @@ functions of degree 5/5.</p>
|
|||
It should not be confused with the spherical Bessel functions (see
|
||||
<code>spherical_jn</code>).</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>jv: Bessel function of the first kind
|
||||
spherical_jn: spherical Bessel functions.</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<h6 id="examples">Examples</h6>
|
||||
|
|
@ -2072,6 +2077,12 @@ Optional output array for the function results</li>
|
|||
Value of the Bessel function of the second kind of order 1 at <code>x</code>.</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code><a href="#j1">j1</a></code>: Bessel function of the first kind of order 1 <br />
|
||||
<code><a href="#yn">yn</a></code>: Bessel function of the second kind <br />
|
||||
<code>yv</code>: Bessel function of the second kind </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The domain is divided into the intervals [0, 8] and (8, infinity). In the
|
||||
|
|
@ -2082,12 +2093,6 @@ rational functions of degree 5/5.</p>
|
|||
|
||||
<p>This function is a wrapper for the Cephes <sup class="footnote-ref" id="fnref-1"><a href="#fn-1">1</a></sup> routine <code><a href="#y1">y1</a></code>.</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>j1: Bessel function of the first kind of order 1
|
||||
yn: Bessel function of the second kind
|
||||
yv: Bessel function of the second kind</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<h6 id="examples">Examples</h6>
|
||||
|
|
@ -2188,12 +2193,12 @@ Optional output array for the function values</li>
|
|||
Value of the Bessel function, \( J_v(z) \).</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p>jve : \( J_v \) with leading exponential behavior stripped off.
|
||||
spherical_jn : spherical Bessel functions.
|
||||
j0 : faster version of this function for order 0.
|
||||
j1 : faster version of this function for order 1.</p>
|
||||
<p><code>jve</code>: \( J_v \) with leading exponential behavior stripped off. <br />
|
||||
<code>spherical_jn</code>: spherical Bessel functions. <br />
|
||||
<code><a href="#j0">j0</a></code>: faster version of this function for order 0. <br />
|
||||
<code><a href="#j1">j1</a></code>: faster version of this function for order 1. </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
|
|
@ -2355,6 +2360,12 @@ Optional output array for the function results</li>
|
|||
Value of the Bessel function, \( Y_n(x) \).</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code>yv</code>: For real order and real or complex argument. <br />
|
||||
<code><a href="#y0">y0</a></code>: faster implementation of this function for order 0 <br />
|
||||
<code><a href="#y1">y1</a></code>: faster implementation of this function for order 1 </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>Wrapper for the Cephes <sup class="footnote-ref" id="fnref-1"><a href="#fn-1">1</a></sup> routine <code><a href="#yn">yn</a></code>.</p>
|
||||
|
|
@ -2363,12 +2374,6 @@ Value of the Bessel function, \( Y_n(x) \).</li>
|
|||
values computed by the Cephes routines <code><a href="#y0">y0</a></code> and <code><a href="#y1">y1</a></code>. If <code>n = 0</code> or 1,
|
||||
the routine for <code><a href="#y0">y0</a></code> or <code><a href="#y1">y1</a></code> is called directly.</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>yv : For real order and real or complex argument.
|
||||
y0: faster implementation of this function for order 0
|
||||
y1: faster implementation of this function for order 1</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<h6 id="examples">Examples</h6>
|
||||
|
|
@ -2512,6 +2517,11 @@ Optional output array for the function values</li>
|
|||
Value of the modified Bessel function of order 0 at <code>x</code>.</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code><a href="#iv">iv</a></code>: Modified Bessel function of any order <br />
|
||||
<code>i0e</code>: Exponentially scaled modified Bessel function of order 0 </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The range is partitioned into the two intervals [0, 8] and (8, infinity).
|
||||
|
|
@ -2519,11 +2529,6 @@ Chebyshev polynomial expansions are employed in each interval.</p>
|
|||
|
||||
<p>This function is a wrapper for the Cephes <sup class="footnote-ref" id="fnref-1"><a href="#fn-1">1</a></sup> routine <code><a href="#i0">i0</a></code>.</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>iv: Modified Bessel function of any order
|
||||
i0e: Exponentially scaled modified Bessel function of order 0</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<h6 id="examples">Examples</h6>
|
||||
|
|
@ -2629,6 +2634,11 @@ Optional output array for the function values</li>
|
|||
Value of the modified Bessel function of order 1 at <code>x</code>.</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code><a href="#iv">iv</a></code>: Modified Bessel function of the first kind <br />
|
||||
<code>i1e</code>: Exponentially scaled modified Bessel function of order 1 </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>The range is partitioned into the two intervals [0, 8] and (8, infinity).
|
||||
|
|
@ -2636,11 +2646,6 @@ Chebyshev polynomial expansions are employed in each interval.</p>
|
|||
|
||||
<p>This function is a wrapper for the Cephes <sup class="footnote-ref" id="fnref-1"><a href="#fn-1">1</a></sup> routine <code><a href="#i1">i1</a></code>.</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>iv: Modified Bessel function of the first kind
|
||||
i1e: Exponentially scaled modified Bessel function of order 1</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<h6 id="examples">Examples</h6>
|
||||
|
|
@ -2741,6 +2746,12 @@ Optional output array for the function values</li>
|
|||
<li><strong>scalar or ndarray</strong>: Values of the modified Bessel function.</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code><a href="#ive">ive</a></code>: This function with leading exponential behavior stripped off. <br />
|
||||
<code><a href="#i0">i0</a></code>: Faster version of this function for order 0. <br />
|
||||
<code><a href="#i1">i1</a></code>: Faster version of this function for order 1. </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>For real <code>z</code> and \( v \in [-50, 50] \), the evaluation is carried out
|
||||
|
|
@ -2768,12 +2779,6 @@ formula</p>
|
|||
<p>is used, where \( K_v(z) \) is the modified Bessel function of the
|
||||
second kind, evaluated using the AMOS routine <code>zbesk</code>.</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>ive : This function with leading exponential behavior stripped off.
|
||||
i0 : Faster version of this function for order 0.
|
||||
i1 : Faster version of this function for order 1.</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<h6 id="examples">Examples</h6>
|
||||
|
|
@ -2924,6 +2929,12 @@ Optional output array for the function values</li>
|
|||
<li><strong>scalar or ndarray</strong>: Values of the exponentially scaled modified Bessel function.</li>
|
||||
</ul>
|
||||
|
||||
<h6 id="see-also">See Also</h6>
|
||||
|
||||
<p><code><a href="#iv">iv</a></code>: Modified Bessel function of the first kind <br />
|
||||
<code>i0e</code>: Faster implementation of this function for order 0 <br />
|
||||
<code>i1e</code>: Faster implementation of this function for order 1 </p>
|
||||
|
||||
<h6 id="notes">Notes</h6>
|
||||
|
||||
<p>For positive <code>v</code>, the AMOS <sup class="footnote-ref" id="fnref-1"><a href="#fn-1">1</a></sup> <code>zbesi</code> routine is called. It uses a
|
||||
|
|
@ -2950,12 +2961,6 @@ second kind, evaluated using the AMOS routine <code>zbesk</code>.</p>
|
|||
<p><code><a href="#ive">ive</a></code> is useful for large arguments <code>z</code>: for these, <code><a href="#iv">iv</a></code> easily overflows,
|
||||
while <code><a href="#ive">ive</a></code> does not due to the exponential scaling.</p>
|
||||
|
||||
<h6 id="see-also">See also</h6>
|
||||
|
||||
<p>iv: Modified Bessel function of the first kind
|
||||
i0e: Faster implementation of this function for order 0
|
||||
i1e: Faster implementation of this function for order 1</p>
|
||||
|
||||
<h6 id="references">References</h6>
|
||||
|
||||
<h6 id="examples">Examples</h6>
|
||||
|
|
|
|||
|
|
@ -3,7 +3,7 @@
|
|||
<head>
|
||||
<meta charset="utf-8">
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1">
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||||
<meta name="generator" content="pdoc 14.3.0"/>
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||||
<meta name="generator" content="pdoc 14.4.0"/>
|
||||
<title>pyerrors.version API documentation</title>
|
||||
|
||||
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