numpy.polynomial.hermite_e.hermegauss

polynomial.hermite_e.hermegauss(deg)[源代码]

高斯-赫米特求积。

计算高斯-厄米特积分的采样点和权重。这些采样点和权重将正确地整合度的多项式。 2*deg - 1 间隔时间内不超过 [-\inf, \inf] 具有重量功能 f(x) = \exp(-x^2/2) .

参数
deg利息

采样点数和权重。必须大于等于1。

返回
x恩达雷

包含采样点的一维数组。

y恩达雷

包含权重的一维数组。

笔记

1.7.0 新版功能.

测试结果只有100度,更高的程度可能有问题。重量由以下事实确定:

System Message: WARNING/2 (W_k=c/(He’_n(X_k)*He_n-1(X_k))。)

latex exited with error [stdout] This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2019/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2018-12-01> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2018/09/03 v1.4i Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (./math.aux) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd) ! Package inputenc Error: Unicode character ( (U+FF08) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} LaTeX Warning: Command \textquoteright invalid in math mode on input line 14. ! Package inputenc Error: Unicode character ( (U+FF08) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character ) (U+FF09) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character ( (U+FF08) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character ) (U+FF09) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character ) (U+FF09) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character 。 (U+3002) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character ( (U+FF08) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} LaTeX Warning: Command \textquoteright invalid in math mode on input line 14. ! Package inputenc Error: Unicode character ( (U+FF08) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character ) (U+FF09) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character ( (U+FF08) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character ) (U+FF09) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character ) (U+FF09) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} ! Package inputenc Error: Unicode character 。 (U+3002) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ...(X_k)*He_n-1(X_k))。\end{split} [1] (./math.aux) ) (see the transcript file for additional information) Output written on math.dvi (1 page, 508 bytes). Transcript written on math.log.

在哪里? c 是一个独立于 kx_k 是的第k根 He_n ,然后在积分1时缩放结果以获得正确的值。