1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58
|
\subsection{numerator}
\label{labnumerator}
\noindent Name: \textbf{numerator}\\
\phantom{aaa}gives the numerator of an expression\\[0.2cm]
\noindent Library name:\\
\verb| sollya_obj_t sollya_lib_numerator(sollya_obj_t)|\\[0.2cm]
\noindent Usage:
\begin{center}
\textbf{numerator}(\emph{expr}) : \textsf{function} $\rightarrow$ \textsf{function}\\
\end{center}
Parameters:
\begin{itemize}
\item \emph{expr} represents an expression
\end{itemize}
\noindent Description: \begin{itemize}
\item If \emph{expr} represents a fraction \emph{expr1}/\emph{expr2}, \textbf{numerator}(\emph{expr})
returns the numerator of this fraction, i.e. \emph{expr1}.
If \emph{expr} represents something else, \textbf{numerator}(\emph{expr})
returns the expression itself, i.e. \emph{expr}.
Note that for all expressions \emph{expr}, \textbf{numerator}(\emph{expr}) \textbf{/} \textbf{denominator}(\emph{expr})
is equal to \emph{expr}.
\end{itemize}
\noindent Example 1:
\begin{center}\begin{minipage}{15cm}\begin{Verbatim}[frame=single]
> numerator(5/3);
5
\end{Verbatim}
\end{minipage}\end{center}
\noindent Example 2:
\begin{center}\begin{minipage}{15cm}\begin{Verbatim}[frame=single]
> numerator(exp(x));
exp(x)
\end{Verbatim}
\end{minipage}\end{center}
\noindent Example 3:
\begin{center}\begin{minipage}{15cm}\begin{Verbatim}[frame=single]
> a = 5/3;
> b = numerator(a)/denominator(a);
> print(a);
5 / 3
> print(b);
5 / 3
\end{Verbatim}
\end{minipage}\end{center}
\noindent Example 4:
\begin{center}\begin{minipage}{15cm}\begin{Verbatim}[frame=single]
> a = exp(x/3);
> b = numerator(a)/denominator(a);
> print(a);
exp(x / 3)
> print(b);
exp(x / 3)
\end{Verbatim}
\end{minipage}\end{center}
See also: \textbf{denominator} (\ref{labdenominator}), \textbf{rationalmode} (\ref{labrationalmode})
|