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91 lines
2.3 KiB
TeX
91 lines
2.3 KiB
TeX
\section{\module{cmath} ---
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Mathematical functions for complex numbers}
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\declaremodule{builtin}{cmath}
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\modulesynopsis{Mathematical functions for complex numbers.}
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This module is always available. It provides access to mathematical
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functions for complex numbers. The functions are:
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\begin{funcdesc}{acos}{x}
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Return the arc cosine of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{acosh}{x}
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Return the hyperbolic arc cosine of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{asin}{x}
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Return the arc sine of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{asinh}{x}
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Return the hyperbolic arc sine of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{atan}{x}
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Return the arc tangent of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{atanh}{x}
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Return the hyperbolic arc tangent of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{cos}{x}
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Return the cosine of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{cosh}{x}
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Return the hyperbolic cosine of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{exp}{x}
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Return the exponential value \code{e**\var{x}}.
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\end{funcdesc}
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\begin{funcdesc}{log}{x}
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Return the natural logarithm of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{log10}{x}
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Return the base-10 logarithm of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{sin}{x}
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Return the sine of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{sinh}{x}
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Return the hyperbolic sine of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{sqrt}{x}
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Return the square root of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{tan}{x}
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Return the tangent of \var{x}.
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\end{funcdesc}
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\begin{funcdesc}{tanh}{x}
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Return the hyperbolic tangent of \var{x}.
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\end{funcdesc}
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The module also defines two mathematical constants:
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\begin{datadesc}{pi}
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The mathematical constant \emph{pi}, as a real.
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\end{datadesc}
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\begin{datadesc}{e}
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The mathematical constant \emph{e}, as a real.
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\end{datadesc}
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Note that the selection of functions is similar, but not identical, to
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that in module \refmodule{math}\refbimodindex{math}. The reason for having
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two modules is that some users aren't interested in complex numbers,
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and perhaps don't even know what they are. They would rather have
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\code{math.sqrt(-1)} raise an exception than return a complex number.
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Also note that the functions defined in \module{cmath} always return a
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complex number, even if the answer can be expressed as a real number
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(in which case the complex number has an imaginary part of zero).
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