polynomial.chebyshev.
chebval
在点X处计算切比雪夫级数。
如果 c 长度 n + 1 ，此函数返回值：
System Message: WARNING/2 (P（x）＝C00 * T_0(x) + c_1 * T1（x）+…+Cnn*Tyn（x）)
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 ... * T1（x）+…+Cnn*Tyn（x）\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 ... * T1（x）+…+Cnn*Tyn（x）\end{split} ! Package inputenc Error: Unicode character ＝ (U+FF1D) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ... * T1（x）+…+Cnn*Tyn（x）\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 ... * T1（x）+…+Cnn*Tyn（x）\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 ... * T1（x）+…+Cnn*Tyn（x）\end{split} LaTeX Warning: Command \textellipsis 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 ... * T1（x）+…+Cnn*Tyn（x）\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 ... * T1（x）+…+Cnn*Tyn（x）\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 ... * T1（x）+…+Cnn*Tyn（x）\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 ... * T1（x）+…+Cnn*Tyn（x）\end{split} ! Package inputenc Error: Unicode character ＝ (U+FF1D) (inputenc) not set up for use with LaTeX. See the inputenc package documentation for explanation. Type H <return> for immediate help. ... l.14 ... * T1（x）+…+Cnn*Tyn（x）\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 ... * T1（x）+…+Cnn*Tyn（x）\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 ... * T1（x）+…+Cnn*Tyn（x）\end{split} LaTeX Warning: Command \textellipsis 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 ... * T1（x）+…+Cnn*Tyn（x）\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 ... * T1（x）+…+Cnn*Tyn（x）\end{split} [1] (./math.aux) ) (see the transcript file for additional information) Output written on math.dvi (1 page, 472 bytes). Transcript written on math.log.
参数 x 只有当数组是元组或列表时才转换为数组，否则将被视为标量。在任何一种情况下，要么 x 或者它的元素必须支持自身和元素的乘法和加法。 c .
如果 c 是一维数组，然后 p(x) 将具有与相同的形状 x . 如果 c 是多维的，则结果的形状取决于 tensor .如果 tensor 是真的，形状将是C形。 [1:] +X.形状。如果 tensor 如果为假，则形状将为C形。 [1:] . 请注意，标量具有形状（，）。
系数中的尾随零将用于评估，因此，如果考虑效率，应避免尾随零。
如果 x 是一个列表或元组，它被转换为一个ndarray，否则它将保持不变并被视为一个标量。在任何一种情况下， x 或者其元素必须支持与自身和元素的加法和乘法 c .
有序的系数数组，使n次项的系数包含在c中 [n] .如果 c 是多维的，其余的索引枚举多个多项式。在二维情况下，系数可以被认为是存储在 c .
如果为真，则将系数数组的形状扩展为右侧的形状，每个尺寸的 x . 此操作的标量的维度为0。结果是每列系数 c 对的每个元素进行了评估 x . 如果是假的， x 是通过以下列广播的 c 用于评估。当 c 是多维的。默认值为true。
1.7.0 新版功能.
返回值的形状如上所述。
参见
chebval2d
chebgrid2d
chebval3d
chebgrid3d
笔记
评估使用了克伦肖递归，也就是合成除法。