%
% API Documentation for DareDare
% Module misc.calculus
%
% Generated by epydoc 3.0.1
% [Sun Nov 23 16:35:56 2008]
%

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%%                          Module Description                           %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

    \index{misc \textit{(package)}!misc.calculus \textit{(module)}|(}
\section{Module misc.calculus}

    \label{misc:calculus}
\textbf{Version:} 0.6.0




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%                               Functions                               %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

  \subsection{Functions}

    \label{misc:calculus:construct_4_blocks_matrix}
    \index{misc \textit{(package)}!misc.calculus \textit{(module)}!misc.calculus.construct\_4\_blocks\_matrix \textit{(function)}}

    \vspace{0.5ex}

\hspace{.8\funcindent}\begin{boxedminipage}{\funcwidth}

    \raggedright \textbf{construct\_4\_blocks\_matrix}(\textit{blocks})

    \vspace{-1.5ex}

    \rule{\textwidth}{0.5\fboxrule}
\setlength{\parskip}{2ex}
    construct block matrix line by line input : [[A1,A2],[A3,A4]]

\setlength{\parskip}{1ex}
    \end{boxedminipage}

    \label{daredare:rand}
    \index{daredare \textit{(module)}!daredare.rand \textit{(function)}}

    \vspace{0.5ex}

\hspace{.8\funcindent}\begin{boxedminipage}{\funcwidth}

    \raggedright \textbf{rand}(\textit{...})

    \vspace{-1.5ex}

    \rule{\textwidth}{0.5\fboxrule}
\setlength{\parskip}{2ex}
\begin{alltt}
Return an array of the given dimensions which is initialized to
random numbers from a uniform distribution in the range [0,1).

rand(d0, d1, ..., dn) -{\textgreater} random values

Note:  This is a convenience function. If you want an
            interface that takes a tuple as the first argument
            use numpy.random.random\_sample(shape\_tuple).
\end{alltt}

\setlength{\parskip}{1ex}
    \end{boxedminipage}

    \label{misc:calculus:randn}
    \index{misc \textit{(package)}!misc.calculus \textit{(module)}!misc.calculus.randn \textit{(function)}}

    \vspace{0.5ex}

\hspace{.8\funcindent}\begin{boxedminipage}{\funcwidth}

    \raggedright \textbf{randn}(\textit{...})

    \vspace{-1.5ex}

    \rule{\textwidth}{0.5\fboxrule}
\setlength{\parskip}{2ex}
\begin{alltt}
Returns zero-mean, unit-variance Gaussian random numbers in an
array of shape (d0, d1, ..., dn).

randn(d0, d1, ..., dn) -{\textgreater} random values

Note:  This is a convenience function. If you want an
            interface that takes a tuple as the first argument
            use numpy.random.standard\_normal(shape\_tuple).
\end{alltt}

\setlength{\parskip}{1ex}
    \end{boxedminipage}

    \label{misc:calculus:second_order_taylorisation}
    \index{misc \textit{(package)}!misc.calculus \textit{(module)}!misc.calculus.second\_order\_taylorisation \textit{(function)}}

    \vspace{0.5ex}

\hspace{.8\funcindent}\begin{boxedminipage}{\funcwidth}

    \raggedright \textbf{second\_order\_taylorisation}(\textit{expr}, \textit{shocks}, \textit{covariances})

\setlength{\parskip}{2ex}
\setlength{\parskip}{1ex}
    \end{boxedminipage}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%                               Variables                               %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

  \subsection{Variables}

    \vspace{-1cm}
\hspace{\varindent}\begin{longtable}{|p{\varnamewidth}|p{\vardescrwidth}|l}
\cline{1-2}
\cline{1-2} \centering \textbf{Name} & \centering \textbf{Description}& \\
\cline{1-2}
\endhead\cline{1-2}\multicolumn{3}{r}{\small\textit{continued on next page}}\\\endfoot\cline{1-2}
\endlastfoot\raggedright A\-L\-L\-O\-W\-\_\-T\-H\-R\-E\-A\-D\-S\- & \raggedright \textbf{Value:} 
{\tt 1}&\\
\cline{1-2}
\raggedright B\-U\-F\-S\-I\-Z\-E\- & \raggedright \textbf{Value:} 
{\tt 10000}&\\
\cline{1-2}
\raggedright C\- & \raggedright \textbf{Value:} 
{\tt {\textless}sympy.core.basic.ClassesRegistry instance at 0x96e56cc{\textgreater}}&\\
\cline{1-2}
\raggedright C\-L\-I\-P\- & \raggedright \textbf{Value:} 
{\tt 0}&\\
\cline{1-2}
\raggedright C\-a\-t\-a\-l\-a\-n\- & \raggedright \textbf{Value:} 
{\tt Catalan}&\\
\cline{1-2}
\raggedright E\- & \raggedright \textbf{Value:} 
{\tt E}&\\
\cline{1-2}
\raggedright E\-R\-R\-\_\-C\-A\-L\-L\- & \raggedright \textbf{Value:} 
{\tt 3}&\\
\cline{1-2}
\raggedright E\-R\-R\-\_\-D\-E\-F\-A\-U\-L\-T\- & \raggedright \textbf{Value:} 
{\tt 0}&\\
\cline{1-2}
\raggedright E\-R\-R\-\_\-D\-E\-F\-A\-U\-L\-T\-2\- & \raggedright \textbf{Value:} 
{\tt 2084}&\\
\cline{1-2}
\raggedright E\-R\-R\-\_\-I\-G\-N\-O\-R\-E\- & \raggedright \textbf{Value:} 
{\tt 0}&\\
\cline{1-2}
\raggedright E\-R\-R\-\_\-L\-O\-G\- & \raggedright \textbf{Value:} 
{\tt 5}&\\
\cline{1-2}
\raggedright E\-R\-R\-\_\-P\-R\-I\-N\-T\- & \raggedright \textbf{Value:} 
{\tt 4}&\\
\cline{1-2}
\raggedright E\-R\-R\-\_\-R\-A\-I\-S\-E\- & \raggedright \textbf{Value:} 
{\tt 2}&\\
\cline{1-2}
\raggedright E\-R\-R\-\_\-W\-A\-R\-N\- & \raggedright \textbf{Value:} 
{\tt 1}&\\
\cline{1-2}
\raggedright E\-u\-l\-e\-r\-G\-a\-m\-m\-a\- & \raggedright \textbf{Value:} 
{\tt EulerGamma}&\\
\cline{1-2}
\raggedright F\-L\-O\-A\-T\-I\-N\-G\-\_\-P\-O\-I\-N\-T\-\_\-S\-U\-P\-P\-O\-R\-T\- & \raggedright \textbf{Value:} 
{\tt 1}&\\
\cline{1-2}
\raggedright F\-P\-E\-\_\-D\-I\-V\-I\-D\-E\-B\-Y\-Z\-E\-R\-O\- & \raggedright \textbf{Value:} 
{\tt 1}&\\
\cline{1-2}
\raggedright F\-P\-E\-\_\-I\-N\-V\-A\-L\-I\-D\- & \raggedright \textbf{Value:} 
{\tt 8}&\\
\cline{1-2}
\raggedright F\-P\-E\-\_\-O\-V\-E\-R\-F\-L\-O\-W\- & \raggedright \textbf{Value:} 
{\tt 2}&\\
\cline{1-2}
\raggedright F\-P\-E\-\_\-U\-N\-D\-E\-R\-F\-L\-O\-W\- & \raggedright \textbf{Value:} 
{\tt 4}&\\
\cline{1-2}
\raggedright F\-a\-l\-s\-e\-\_\- & \raggedright \textbf{Value:} 
{\tt False}&\\
\cline{1-2}
\raggedright G\-o\-l\-d\-e\-n\-R\-a\-t\-i\-o\- & \raggedright \textbf{Value:} 
{\tt GoldenRatio}&\\
\cline{1-2}
\raggedright I\- & \raggedright \textbf{Value:} 
{\tt I}&\\
\cline{1-2}
\raggedright I\-n\-f\- & \raggedright \textbf{Value:} 
{\tt inf}&\\
\cline{1-2}
\raggedright I\-n\-f\-i\-n\-i\-t\-y\- & \raggedright \textbf{Value:} 
{\tt inf}&\\
\cline{1-2}
\raggedright M\-A\-X\-D\-I\-M\-S\- & \raggedright \textbf{Value:} 
{\tt 32}&\\
\cline{1-2}
\raggedright N\-A\-N\- & \raggedright \textbf{Value:} 
{\tt nan}&\\
\cline{1-2}
\raggedright N\-I\-N\-F\- & \raggedright \textbf{Value:} 
{\tt -inf}&\\
\cline{1-2}
\raggedright N\-Z\-E\-R\-O\- & \raggedright \textbf{Value:} 
{\tt -0.0}&\\
\cline{1-2}
\raggedright N\-a\-N\- & \raggedright \textbf{Value:} 
{\tt nan}&\\
\cline{1-2}
\raggedright P\-I\-N\-F\- & \raggedright \textbf{Value:} 
{\tt inf}&\\
\cline{1-2}
\raggedright P\-Z\-E\-R\-O\- & \raggedright \textbf{Value:} 
{\tt 0.0}&\\
\cline{1-2}
\raggedright R\-A\-I\-S\-E\- & \raggedright \textbf{Value:} 
{\tt 2}&\\
\cline{1-2}
\raggedright S\- & \raggedright \textbf{Value:} 
{\tt S}&\\
\cline{1-2}
\raggedright S\-H\-I\-F\-T\-\_\-D\-I\-V\-I\-D\-E\-B\-Y\-Z\-E\-R\-O\- & \raggedright \textbf{Value:} 
{\tt 0}&\\
\cline{1-2}
\raggedright S\-H\-I\-F\-T\-\_\-I\-N\-V\-A\-L\-I\-D\- & \raggedright \textbf{Value:} 
{\tt 9}&\\
\cline{1-2}
\raggedright S\-H\-I\-F\-T\-\_\-O\-V\-E\-R\-F\-L\-O\-W\- & \raggedright \textbf{Value:} 
{\tt 3}&\\
\cline{1-2}
\raggedright S\-H\-I\-F\-T\-\_\-U\-N\-D\-E\-R\-F\-L\-O\-W\- & \raggedright \textbf{Value:} 
{\tt 6}&\\
\cline{1-2}
\raggedright S\-c\-a\-l\-a\-r\-T\-y\-p\-e\- & \raggedright \textbf{Value:} 
{\tt \texttt{(}{\textless}type 'int'{\textgreater}\texttt{, }{\textless}type 'float'{\textgreater}\texttt{, }{\textless}type 'complex'{\textgreater}\texttt{, }{\textless}type 'l\texttt{...}}&\\
\cline{1-2}
\raggedright T\-r\-u\-e\-\_\- & \raggedright \textbf{Value:} 
{\tt True}&\\
\cline{1-2}
\raggedright U\-F\-U\-N\-C\-\_\-B\-U\-F\-S\-I\-Z\-E\-\_\-D\-E\-F\-A\-U\-L\-T\- & \raggedright \textbf{Value:} 
{\tt 10000}&\\
\cline{1-2}
\raggedright U\-F\-U\-N\-C\-\_\-P\-Y\-V\-A\-L\-S\-\_\-N\-A\-M\-E\- & \raggedright \textbf{Value:} 
{\tt \texttt{'}\texttt{UFUNC\_PYVALS}\texttt{'}}&\\
\cline{1-2}
\raggedright W\-R\-A\-P\- & \raggedright \textbf{Value:} 
{\tt 1}&\\
\cline{1-2}
\raggedright a\-b\-s\-o\-l\-u\-t\-e\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'absolute'{\textgreater}}&\\
\cline{1-2}
\raggedright a\-d\-d\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'add'{\textgreater}}&\\
\cline{1-2}
\raggedright a\-r\-c\-c\-o\-s\-h\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'arccosh'{\textgreater}}&\\
\cline{1-2}
\raggedright a\-r\-c\-s\-i\-n\-h\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'arcsinh'{\textgreater}}&\\
\cline{1-2}
\raggedright a\-r\-c\-t\-a\-n\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'arctan'{\textgreater}}&\\
\cline{1-2}
\raggedright a\-r\-c\-t\-a\-n\-2\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'arctan2'{\textgreater}}&\\
\cline{1-2}
\raggedright b\-i\-t\-w\-i\-s\-e\-\_\-a\-n\-d\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'bitwise\_and'{\textgreater}}&\\
\cline{1-2}
\raggedright b\-i\-t\-w\-i\-s\-e\-\_\-n\-o\-t\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'invert'{\textgreater}}&\\
\cline{1-2}
\raggedright b\-i\-t\-w\-i\-s\-e\-\_\-o\-r\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'bitwise\_or'{\textgreater}}&\\
\cline{1-2}
\raggedright b\-i\-t\-w\-i\-s\-e\-\_\-x\-o\-r\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'bitwise\_xor'{\textgreater}}&\\
\cline{1-2}
\raggedright c\-\_\- & \raggedright \textbf{Value:} 
{\tt {\textless}numpy.lib.index\_tricks.CClass object at 0x9aef10c{\textgreater}}&\\
\cline{1-2}
\raggedright c\-a\-s\-t\- & \raggedright \textbf{Value:} 
{\tt \{{\textless}type 'numpy.int64'{\textgreater}: {\textless}function {\textless}lambda{\textgreater} at 0x99c5374{\textgreater}, \texttt{...}}&\\
\cline{1-2}
\raggedright c\-e\-i\-l\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'ceil'{\textgreater}}&\\
\cline{1-2}
\raggedright c\-o\-n\-j\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'conjugate'{\textgreater}}&\\
\cline{1-2}
\raggedright c\-o\-n\-j\-u\-g\-a\-t\-e\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'conjugate'{\textgreater}}&\\
\cline{1-2}
\raggedright c\-o\-s\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'cos'{\textgreater}}&\\
\cline{1-2}
\raggedright c\-o\-s\-h\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'cosh'{\textgreater}}&\\
\cline{1-2}
\raggedright d\-e\-g\-r\-e\-e\-s\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'degrees'{\textgreater}}&\\
\cline{1-2}
\raggedright d\-i\-v\-i\-d\-e\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'divide'{\textgreater}}&\\
\cline{1-2}
\raggedright e\- & \raggedright \textbf{Value:} 
{\tt 2.71828182846}&\\
\cline{1-2}
\raggedright e\-q\-u\-a\-l\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'equal'{\textgreater}}&\\
\cline{1-2}
\raggedright e\-x\-p\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'exp'{\textgreater}}&\\
\cline{1-2}
\raggedright e\-x\-p\-m\-1\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'expm1'{\textgreater}}&\\
\cline{1-2}
\raggedright f\-a\-b\-s\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'fabs'{\textgreater}}&\\
\cline{1-2}
\raggedright f\-l\-o\-o\-r\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'floor'{\textgreater}}&\\
\cline{1-2}
\raggedright f\-l\-o\-o\-r\-\_\-d\-i\-v\-i\-d\-e\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'floor\_divide'{\textgreater}}&\\
\cline{1-2}
\raggedright f\-m\-o\-d\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'fmod'{\textgreater}}&\\
\cline{1-2}
\raggedright f\-r\-e\-x\-p\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'frexp'{\textgreater}}&\\
\cline{1-2}
\raggedright g\-r\-e\-a\-t\-e\-r\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'greater'{\textgreater}}&\\
\cline{1-2}
\raggedright g\-r\-e\-a\-t\-e\-r\-\_\-e\-q\-u\-a\-l\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'greater\_equal'{\textgreater}}&\\
\cline{1-2}
\raggedright h\-y\-p\-o\-t\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'hypot'{\textgreater}}&\\
\cline{1-2}
\raggedright i\-n\-d\-e\-x\-\_\-e\-x\-p\- & \raggedright \textbf{Value:} 
{\tt {\textless}numpy.lib.index\_tricks.IndexExpression object at 0x9aef28c{\textgreater}}&\\
\cline{1-2}
\raggedright i\-n\-f\- & \raggedright \textbf{Value:} 
{\tt inf}&\\
\cline{1-2}
\raggedright i\-n\-f\-t\-y\- & \raggedright \textbf{Value:} 
{\tt inf}&\\
\cline{1-2}
\raggedright i\-n\-v\-e\-r\-t\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'invert'{\textgreater}}&\\
\cline{1-2}
\raggedright i\-s\-f\-i\-n\-i\-t\-e\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'isfinite'{\textgreater}}&\\
\cline{1-2}
\raggedright i\-s\-i\-n\-f\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'isinf'{\textgreater}}&\\
\cline{1-2}
\raggedright i\-s\-n\-a\-n\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'isnan'{\textgreater}}&\\
\cline{1-2}
\raggedright l\-d\-e\-x\-p\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'ldexp'{\textgreater}}&\\
\cline{1-2}
\raggedright l\-e\-f\-t\-\_\-s\-h\-i\-f\-t\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'left\_shift'{\textgreater}}&\\
\cline{1-2}
\raggedright l\-e\-s\-s\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'less'{\textgreater}}&\\
\cline{1-2}
\raggedright l\-e\-s\-s\-\_\-e\-q\-u\-a\-l\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'less\_equal'{\textgreater}}&\\
\cline{1-2}
\raggedright l\-i\-t\-t\-l\-e\-\_\-e\-n\-d\-i\-a\-n\- & \raggedright \textbf{Value:} 
{\tt True}&\\
\cline{1-2}
\raggedright l\-o\-g\-1\-p\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'log1p'{\textgreater}}&\\
\cline{1-2}
\raggedright l\-o\-g\-i\-c\-a\-l\-\_\-a\-n\-d\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'logical\_and'{\textgreater}}&\\
\cline{1-2}
\raggedright l\-o\-g\-i\-c\-a\-l\-\_\-n\-o\-t\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'logical\_not'{\textgreater}}&\\
\cline{1-2}
\raggedright l\-o\-g\-i\-c\-a\-l\-\_\-o\-r\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'logical\_or'{\textgreater}}&\\
\cline{1-2}
\raggedright l\-o\-g\-i\-c\-a\-l\-\_\-x\-o\-r\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'logical\_xor'{\textgreater}}&\\
\cline{1-2}
\raggedright m\-a\-x\-i\-m\-u\-m\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'maximum'{\textgreater}}&\\
\cline{1-2}
\raggedright m\-g\-r\-i\-d\- & \raggedright \textbf{Value:} 
{\tt {\textless}numpy.lib.index\_tricks.nd\_grid object at 0x9ae7fec{\textgreater}}&\\
\cline{1-2}
\raggedright m\-i\-n\-i\-m\-u\-m\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'minimum'{\textgreater}}&\\
\cline{1-2}
\raggedright m\-o\-d\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'remainder'{\textgreater}}&\\
\cline{1-2}
\raggedright m\-o\-d\-f\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'modf'{\textgreater}}&\\
\cline{1-2}
\raggedright m\-u\-l\-t\-i\-p\-l\-y\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'multiply'{\textgreater}}&\\
\cline{1-2}
\raggedright n\-a\-n\- & \raggedright \textbf{Value:} 
{\tt nan}&\\
\cline{1-2}
\raggedright n\-b\-y\-t\-e\-s\- & \raggedright \textbf{Value:} 
{\tt \{{\textless}type 'numpy.int64'{\textgreater}: 8, {\textless}type 'numpy.int16'{\textgreater}: 2, {\textless}type \texttt{...}}&\\
\cline{1-2}
\raggedright n\-e\-g\-a\-t\-i\-v\-e\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'negative'{\textgreater}}&\\
\cline{1-2}
\raggedright n\-e\-w\-a\-x\-i\-s\- & \raggedright \textbf{Value:} 
{\tt None}&\\
\cline{1-2}
\raggedright n\-o\-t\-\_\-e\-q\-u\-a\-l\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'not\_equal'{\textgreater}}&\\
\cline{1-2}
\raggedright o\-g\-r\-i\-d\- & \raggedright \textbf{Value:} 
{\tt {\textless}numpy.lib.index\_tricks.nd\_grid object at 0x9aef02c{\textgreater}}&\\
\cline{1-2}
\raggedright o\-n\-e\-s\-\_\-l\-i\-k\-e\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'ones\_like'{\textgreater}}&\\
\cline{1-2}
\raggedright o\-o\- & \raggedright \textbf{Value:} 
{\tt oo}&\\
\cline{1-2}
\raggedright p\-i\- & \raggedright \textbf{Value:} 
{\tt 3.14159265359}&\\
\cline{1-2}
\raggedright p\-k\-g\-l\-o\-a\-d\- & \raggedright \textbf{Value:} 
{\tt {\textless}numpy.\_import\_tools.PackageLoader instance at 0x9c52b8c{\textgreater}}&\\
\cline{1-2}
\raggedright r\-\_\- & \raggedright \textbf{Value:} 
{\tt {\textless}numpy.lib.index\_tricks.RClass object at 0x9aef0ac{\textgreater}}&\\
\cline{1-2}
\raggedright r\-a\-d\-i\-a\-n\-s\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'radians'{\textgreater}}&\\
\cline{1-2}
\raggedright r\-e\-c\-i\-p\-r\-o\-c\-a\-l\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'reciprocal'{\textgreater}}&\\
\cline{1-2}
\raggedright r\-e\-m\-a\-i\-n\-d\-e\-r\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'remainder'{\textgreater}}&\\
\cline{1-2}
\raggedright r\-i\-g\-h\-t\-\_\-s\-h\-i\-f\-t\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'right\_shift'{\textgreater}}&\\
\cline{1-2}
\raggedright r\-i\-n\-t\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'rint'{\textgreater}}&\\
\cline{1-2}
\raggedright s\-\_\- & \raggedright \textbf{Value:} 
{\tt {\textless}numpy.lib.index\_tricks.IndexExpression object at 0x9aef2cc{\textgreater}}&\\
\cline{1-2}
\raggedright s\-c\-t\-y\-p\-e\-D\-i\-c\-t\- & \raggedright \textbf{Value:} 
{\tt \texttt{\{}0\texttt{: }{\textless}type 'numpy.bool\_'{\textgreater}\texttt{, }1\texttt{: }{\textless}type 'numpy.int8'{\textgreater}\texttt{, }2\texttt{: }{\textless}typ\texttt{...}}&\\
\cline{1-2}
\raggedright s\-c\-t\-y\-p\-e\-N\-A\- & \raggedright \textbf{Value:} 
{\tt \texttt{\{}\texttt{'}\texttt{?}\texttt{'}\texttt{: }\texttt{'}\texttt{Bool}\texttt{'}\texttt{, }\texttt{'}\texttt{B}\texttt{'}\texttt{: }\texttt{'}\texttt{UInt8}\texttt{'}\texttt{, }\texttt{'}\texttt{Bool}\texttt{'}\texttt{: }{\textless}type 'numpy.bool\_'{\textgreater}\texttt{,}\texttt{...}}&\\
\cline{1-2}
\raggedright s\-c\-t\-y\-p\-e\-s\- & \raggedright \textbf{Value:} 
{\tt \texttt{\{}\texttt{'}\texttt{complex}\texttt{'}\texttt{: }\texttt{[}{\textless}type 'numpy.complex64'{\textgreater}\texttt{, }{\textless}type 'numpy.compl\texttt{...}}&\\
\cline{1-2}
\raggedright s\-i\-e\-v\-e\- & \raggedright \textbf{Value:} 
{\tt {\textless}Sieve with 6 primes sieved: 2, 3, 5, ... 11, 13{\textgreater}}&\\
\cline{1-2}
\raggedright s\-i\-g\-n\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'sign'{\textgreater}}&\\
\cline{1-2}
\raggedright s\-i\-g\-n\-b\-i\-t\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'signbit'{\textgreater}}&\\
\cline{1-2}
\raggedright s\-i\-n\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'sin'{\textgreater}}&\\
\cline{1-2}
\raggedright s\-i\-n\-h\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'sinh'{\textgreater}}&\\
\cline{1-2}
\raggedright s\-q\-u\-a\-r\-e\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'square'{\textgreater}}&\\
\cline{1-2}
\raggedright s\-u\-b\-t\-r\-a\-c\-t\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'subtract'{\textgreater}}&\\
\cline{1-2}
\raggedright t\-a\-n\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'tan'{\textgreater}}&\\
\cline{1-2}
\raggedright t\-a\-n\-h\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'tanh'{\textgreater}}&\\
\cline{1-2}
\raggedright t\-r\-u\-e\-\_\-d\-i\-v\-i\-d\-e\- & \raggedright \textbf{Value:} 
{\tt {\textless}ufunc 'true\_divide'{\textgreater}}&\\
\cline{1-2}
\raggedright t\-y\-p\-e\-D\-i\-c\-t\- & \raggedright \textbf{Value:} 
{\tt \texttt{\{}0\texttt{: }{\textless}type 'numpy.bool\_'{\textgreater}\texttt{, }1\texttt{: }{\textless}type 'numpy.int8'{\textgreater}\texttt{, }2\texttt{: }{\textless}typ\texttt{...}}&\\
\cline{1-2}
\raggedright t\-y\-p\-e\-N\-A\- & \raggedright \textbf{Value:} 
{\tt \texttt{\{}\texttt{'}\texttt{?}\texttt{'}\texttt{: }\texttt{'}\texttt{Bool}\texttt{'}\texttt{, }\texttt{'}\texttt{B}\texttt{'}\texttt{: }\texttt{'}\texttt{UInt8}\texttt{'}\texttt{, }\texttt{'}\texttt{Bool}\texttt{'}\texttt{: }{\textless}type 'numpy.bool\_'{\textgreater}\texttt{,}\texttt{...}}&\\
\cline{1-2}
\raggedright t\-y\-p\-e\-c\-o\-d\-e\-s\- & \raggedright \textbf{Value:} 
{\tt \texttt{\{}\texttt{'}\texttt{All}\texttt{'}\texttt{: }\texttt{'}\texttt{?bhilqpBHILQPfdgFDGSUVO}\texttt{'}\texttt{, }\texttt{'}\texttt{AllFloat}\texttt{'}\texttt{: }\texttt{'}\texttt{fdgFDG}\texttt{'}\texttt{, }\texttt{...}}&\\
\cline{1-2}
\raggedright z\-o\-o\- & \raggedright \textbf{Value:} 
{\tt zoo}&\\
\cline{1-2}
\end{longtable}

    \index{misc \textit{(package)}!misc.calculus \textit{(module)}|)}
