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%TCIDATA{<META NAME="Title" CONTENT="Scientific Notebook and Maple Constants">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Thu Feb 13 17:02:08 1997}
%TCIDATA{Language=American English}
%TCIDATA{CSTFile=MathHelp.cst}
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\input{tcilatex}
\begin{document}


\section{Scientific Notebook and Maple Constants\label{Constants}}

The common Maple constants can be expressed in ordinary mathematical
notation.

\strut

\begin{center}
\begin{tabular}{c|l}
Maple V & \textsl{Scientific Notebook}{} \\ \hline\hline
\QTR{UserInput}{E} & $e$ \\ 
\QTR{UserInput}{I} & $i$ or $\sqrt{-1}$ (or $j$) \\ 
\QTR{UserInput}{Pi} & $\pi $ \\ 
\QTR{UserInput}{gamma} & $\limfunc{gamma}$ or $\lim\limits_{n\rightarrow
\infty }\left( \sum\limits_{m=1}^{n}\frac{1}{m}-\ln n\right) $%
\end{tabular}
\end{center}

\strut

\section{Scientific Notebook Maple Menu Items\label{Maple Functions}}

Following is a summary of equivalents for some of the common Maple functions
and procedures together with the equivalent \textsl{Scientific Notebook} 
\textsf{Maple} menu item. \strut \smallskip

\subsection{\ Algebra}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \textsf{Maple} Menu \\ \hline\hline
\QTR{UserInput}{simplify} & \textsf{Simplify} \\ 
\QTR{UserInput}{combine} & \textsf{Combine} \\ 
\QTR{UserInput}{factor} & \textsf{Factor} \\ 
\QTR{UserInput}{ifactor} & \textsf{Factor} \\ 
\QTR{UserInput}{expand} & \textsf{Expand} \\ 
\QTR{UserInput}{solve} & \textsf{Solve + Exact} \\ 
\QTR{UserInput}{fsolve} & \textsf{Solve + Numeric} \\ 
\QTR{UserInput}{isolve} & \textsf{Solve + Integer} \\ 
\QTR{UserInput}{rsolve} & \textsf{Solve + Recursion} \\ 
\QTR{UserInput}{eval} & \textsf{Evaluate} \\ 
\QTR{UserInput}{evalb } & \textsf{Check Equality} \\ 
\QTR{UserInput}{evalc} & \textsf{Evaluate} \\ 
\QTR{UserInput}{evalf} & \textsf{Evaluate Numerically}
\end{tabular}
\end{center}

\strut

\subsection{\ Linear Algebra}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \textsf{Maple} Menu \\ \hline\hline
\QTR{UserInput}{linalg[adj]} & \textsf{Matrices + Adjugate} \\ 
\QTR{UserInput}{linalg[concat]} & \textsf{Matrices + Concatenate} \\ 
\QTR{UserInput}{linalg[charpoly]} & \textsf{Matrices + Characteristic
Polynomial} \\ 
\QTR{UserInput}{linalg[colspace]} & \textsf{Matrices + Column Basis} \\ 
\QTR{UserInput}{linalg[cond]} & \textsf{Matrices + Condition Number} \\ 
\QTR{UserInput}{linalg[definite]} & \textsf{Matrices + Definiteness Tests}
\\ 
\QTR{UserInput}{linalg[det]} & \textsf{Matrices + Determinant} \\ 
\QTR{UserInput}{linalg[eigenvals]} & \textsf{Matrices + Eigenvalues} \\ 
\QTR{UserInput}{linalg[eigenvects]} & \textsf{Matrices + Eigenvectors} \\ 
\vspace{0pt} & \textsf{Matrices + Fill Matrix} \\ 
\QTR{UserInput}{linalg[ffgausselim]} & \textsf{Matrices + Fraction-free
Gaussian Elimination} \\ 
\QTR{UserInput}{linalg[gausselim]} & \textsf{Matrices + Gaussian Elimination}
\\ 
\QTR{UserInput}{linalg[htranspose]} & \textsf{Matrices + Hermitian Transpose}
\\ 
\QTR{UserInput}{linalg[inverse]} & \textsf{Matrices + inverse} \\ 
\QTR{UserInput}{linalg[jordan]} & \textsf{Matrices + Jordan Form} \\ 
\QTR{UserInput}{linalg[minpoly]} & \textsf{Matrices + Minimum Polynomial} \\ 
\QTR{UserInput}{linalg[norm]} & \textsf{Matrices + Norm} \\ 
\QTR{UserInput}{linalg[kenel]} & \textsf{Matrices + Nullspace Basis} \\ 
\QTR{UserInput}{linalg[orthog]} & \textsf{Matrices + Orthogonality Test} \\ 
\QTR{UserInput}{linalg[permanent]} & \textsf{Matrices + Permanent} \\ 
\vspace{0pt} & \textsf{Matrices + QR} \\ 
\QTR{UserInput}{linalg[rank]} & \textsf{Matrices + Rank} \\ 
\vspace{0pt} & \textsf{Matrices + Rational Canonical Form} \\ 
\QTR{UserInput}{linalg[rref]} & \textsf{Matrices + Reduced Row Echelon Form}
\\ 
\vspace{0pt} & \textsf{Matrices + Reshape} \\ 
\QTR{UserInput}{linalg[rowspace]} & \textsf{Matrices + Row Basis} \\ 
\QTR{UserInput}{linalg[singularvals]} & \textsf{Matrices + Singular Values}
\\ 
\QTR{UserInput}{Svd} & \textsf{Matrices + SVD} \\ 
\QTR{UserInput}{linalg[smith]} & \textsf{Matrices + Smith Normal Form} \\ 
\QTR{UserInput}{linalg[trace]} & \textsf{Matrices + Trace} \\ 
\QTR{UserInput}{linalg[transpose]} & \textsf{Matrices + Transpose} \\ 
\QTR{UserInput}{linalg[addcol]} & \textsf{Revise (from Edit Menu) } \\ 
\QTR{UserInput}{linalg[addrow]} & \textsf{Revise (from Edit Menu) }
\end{tabular}
\end{center}

\strut

\subsection{\ Statistics}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{}\textsf{\ Maple} Menu \\ \hline\hline
\QTR{UserInput}{stats[regression]} & \textsf{Statistics + Fit Curve to Data
+ Multiple Regression} \\ 
\QTR{UserInput}{stats[multiregress]} & \textsf{Statistics + Fit Curve to
Data + Multiple Regression} \\ 
\QTR{UserInput}{stats[linregress]} & \textsf{Statistics + Fit Curve to Data
+ Multiple Regression} \\ 
\vspace{1pt} & \textsf{Statistics + Fit Curve to Data + Polynomial of Degtee 
}\QTR{UserInput}{n} \\ 
\QTR{UserInput}{stats[RandBeta]} & \textsf{Statistics + Random Numbers + Beta%
} \\ 
\QTR{UserInput}{stats[random[binomiald]]} & \textsf{Statistics + Random
Numbers + Binomial} \\ 
\QTR{UserInput}{stats[random[cauchy]]} & \textsf{Statistics + Random Numbers
+ Cauchy} \\ 
\QTR{UserInput}{stats[RandChiSquare]} & \textsf{Statistics + Random Numbers
+ Chi-Square} \\ 
\QTR{UserInput}{stats[RandExponential]} & \textsf{Statistics + Random
Numbers + Exponential} \\ 
\QTR{UserInput}{stats[RandFdist]} & \textsf{Statistics + Random Numbers + F}
\\ 
\QTR{UserInput}{stats[RandGamma]} & \textsf{Statistics + Random Numbers +
Gamma} \\ 
\QTR{UserInput}{stats[RandNormal]} & \textsf{Statistics + Random Numbers +
Normal} \\ 
\QTR{UserInput}{stats[RandPoisson]} & \textsf{Statistics + Random Numbers +
Poisson} \\ 
\QTR{UserInput}{stats[RandStudentsT]} & \textsf{Statistics + Random Numbers
+ Student's t} \\ 
\QTR{UserInput}{stats[RandUniform]} & \textsf{Statistics + Random Numbers +
Uniform} \\ 
\QTR{UserInput}{stats[random[weibull]]} & \textsf{Statistics + Random
Numbers + Weibull} \\ 
\QTR{UserInput}{stats[average]} & \textsf{Statistics + Mean} \\ 
\QTR{UserInput}{stats[median]} & \textsf{Statistics + Median} \\ 
\QTR{UserInput}{stats[mode]} & \textsf{Statistics + Mode} \\ 
\QTR{UserInput}{stats[correlation]} & \textsf{Statistics + Correlation} \\ 
\QTR{UserInput}{stats[covariance]} & \textsf{Statistics + Covariance} \\ 
\vspace{1pt} & \textsf{Statistics + Mean Deviation} \\ 
\vspace{1pt} & \textsf{Statistics + Moment} \\ 
\vspace{1pt} & \textsf{Statistics + Quantile} \\ 
\QTR{UserInput}{stats[sdev]} & \textsf{Statistics + Standard Deviation} \\ 
\QTR{UserInput}{stats[variance]} & \textsf{Statistics + Variance}
\end{tabular}
\end{center}

\strut

\subsection{\ Linear Programming}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \textsf{Maple} Menu \\ \hline\hline
\QTR{UserInput}{simplex[dual]} & \textsf{Simplex + Dual} \\ 
\QTR{UserInput}{simplex[feasible]} & \textsf{Simplex + Feasible} \\ 
\QTR{UserInput}{simplex[maximize]} & \textsf{Simplex + Maximize} \\ 
\QTR{UserInput}{simplex[minimize]} & \textsf{Simplex + Minimize} \\ 
\QTR{UserInput}{simplex[standardize]} & \textsf{Simplex + Standardize}
\end{tabular}
\end{center}

\strut

\subsection{\ Polynomials}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \textsf{Maple} Menu \\ \hline\hline
\QTR{UserInput}{collect} & \textsf{Polynomials + Collect} \\ 
\vspace{1pt} & \textsf{Polynomials + Divide} \\ 
\QTR{UserInput}{convert + parfrac} & \textsf{Polynomials + Partial Fractions}
\\ 
\QTR{UserInput}{roots} & \textsf{Polynomials + Roots} \\ 
\QTR{UserInput}{sort} & \textsf{Polynomials + Sort} \\ 
\QTR{UserInput}{linalg[companion]} & \textsf{Polynomials + Companion Matrix}
\end{tabular}
\end{center}

\strut

\subsection{\ Calculus}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \textsf{Maple} Menu \\ \hline\hline
\QTR{UserInput}{student[intparts]} & \textsf{Calculus + Integrate by Parts}
\\ 
\QTR{UserInput}{student[changevar]} & \textsf{Calculus + Change Variables}
\\ 
\QTR{UserInput}{convert + parfrac} & \textsf{Calculus + Partial Fractions}
\\ 
\QTR{UserInput}{student[leftsum]} & \textsf{Calculus + Approximate Integral}
\\ 
\QTR{UserInput}{student[rightsum]} & \textsf{Calculus + Approximate Integral}
\\ 
\QTR{UserInput}{student[middlesum]} & \textsf{Calculus + Approximate Integral%
} \\ 
\QTR{UserInput}{student[leftbox]} & \textsf{Calculus + Plot Approx. Integral}
\\ 
\QTR{UserInput}{student[rightbox]} & \textsf{Calculus + Plot Approx. Integral%
} \\ 
\QTR{UserInput}{student[middlebox]} & \textsf{Calculus + Plot Approx.
Integral} \\ 
\QTR{UserInput}{student[extrema]} & \textsf{Calculus + Find Extrema} \\ 
\vspace{1pt} & \textsf{Calculus + Iterate} \\ 
\QTR{UserInput}{map + diff} & \textsf{Calculus + Implicit Differentiation}
\end{tabular}
\end{center}

\strut

\subsection{\ Differential Equations}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \textsf{Maple} Menu \\ \hline\hline
\QTR{UserInput}{dsolve + explicit} & \textsf{Solve ODE + Exact} \\ 
\QTR{UserInput}{dsolve + laplace} & \textsf{Solve ODE + Laplace} \\ 
\QTR{UserInput}{dsolve + numeric} & \textsf{Solve ODE + Numeric} \\ 
\QTR{UserInput}{dsolve + series} & \textsf{Solve ODE + Series}
\end{tabular}
\end{center}

\strut

\subsection{\ Vector Calculus}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \textsf{Maple} Menu \\ \hline\hline
\QTR{UserInput}{linalg[jacobian]} & \textsf{Vector Calculus + Jacobian} \\ 
\QTR{UserInput}{linalg[hessian]} & \textsf{Vector Calculus + Hessian} \\ 
\QTR{UserInput}{linalg[potential]} & \textsf{Vector Calculus + Scalar
Potential} \\ 
\QTR{UserInput}{linalg[vecpotent]} & \textsf{Vector Calculus + Vector
Potential} \\ 
\vspace{1pt} & \textsf{Vector Calculus + Set Basis Variables}
\end{tabular}
\end{center}

\strut

\section{Scientific \label{Maple + Evaluate}Notebook and Maple Expressions}

The following tables give Maple examples with \textsl{Scientific Notebook}{}
equivalents that can be evaluated with \textsf{Maple + Evaluate} or \textsc{%
ctrl +e. }

\begin{quote}
\strut
\end{quote}

\subsection{\ Algebra\label{Binomial}}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \\ \hline\hline
\QTR{UserInput}{binomial(6,2)} & $\stackrel{\vspace{2pt}}{\binom{6}{2}}%
\vspace{4pt}$ \\ 
\QTR{UserInput}{123 mod 17} & $123\func{mod}17\vspace{5pt}$ \\ 
\QTR{UserInput}{rem(3*x\symbol{94}3+2*x,x\symbol{94}2+1,x)} & $3x^{3}+2x%
\func{mod}x^{2}+1\vspace{5pt}$ \\ 
\QTR{UserInput}{gcd(24,36)} & $\gcd (24,36)\vspace{5pt}$ \\ 
\QTR{UserInput}{lcm(x\symbol{94}2+1,x+1)} & $\func{lcm}(x^{2}+1,x+1)\vspace{%
5pt}$ \\ 
\QTR{UserInput}{a \&\symbol{94}n mod m} & $a^{n}\func{mod}m\vspace{5pt}$ \\ 
\QTR{UserInput}{floor(123/34)\medskip } & $\left\lfloor \frac{123}{34}%
\right\rfloor $ \\ 
\QTR{UserInput}{ceil(123/34)} & $\left\lceil \frac{123}{34}\right\rceil 
\vspace{5pt}$ \\ 
\QTR{UserInput}{max(a,b,c)} & $\max (a,b,c)$ or $\max \left\{ a,b,c\right\} 
\vspace{5pt}$ \\ 
\QTR{UserInput}{min(a,b,c)} & $\min (a,b,c)$ or $\min \left\{ a,b,c\right\} 
\vspace{5pt}$ \\ 
\QTR{UserInput}{GAMMA(x)} & $\Gamma (x)\vspace{5pt}$ \\ 
\QTR{UserInput}{\{a,b\}union\{b,c\}} & $\left\{ a,b\right\} \cup \left\{
b,c\right\} \vspace{6pt}$ \\ 
\QTR{UserInput}{\{a,b\}intersect\{b,c\}} & $\left\{ a,b\right\} \cap \left\{
b,c\right\} \vspace{6pt}$%
\end{tabular}
\end{center}

\strut

\subsection{\ Common Functions\label{Common functions}}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \\ \hline\hline
\QTR{UserInput}{sin(x)} & $\sin x$ or $\sin (x)$ \\ 
\QTR{UserInput}{cos(x)} & $\cos x$ or $\cos (x)$ \\ 
\QTR{UserInput}{tan(x)} & $\tan x$ or $\tan (x)$ \\ 
\QTR{UserInput}{exp(x)} & $e^{x}$ or $\exp (x)$ \\ 
\QTR{UserInput}{log(x) }or\QTR{UserInput}{\ ln(x)} & $\log x$ or $\ln x$ \\ 
\QTR{UserInput}{log10(x)} & $\log _{10}x$ or $\log _{10}(x)$ \\ 
\QTR{UserInput}{abs(x)} & $\left| x\right| $ \\ 
\QTR{UserInput}{floor(x)} & $\left\lfloor x\right\rfloor $ \\ 
\QTR{UserInput}{ceiling(x)} & $\left\lceil x\right\rceil $ \\ 
\QTR{UserInput}{sqrt(x)} & $\sqrt{x}$ \\ 
\QTR{UserInput}{arccos(x)} & $\arccos x$ or $\cos ^{-1}x$ or $\arccos (x)$
or $\cos ^{-1}(x)$ \\ 
\QTR{UserInput}{arcsin(x)} & $\arcsin x$ or $\sin ^{-1}x$ or $\arcsin (x)$
or $\sin ^{-1}(x)$ \\ 
\QTR{UserInput}{arctan(x)} & $\arctan x$ or $\tan ^{-1}x$ or $\arctan (x)$
or $\tan ^{-1}(x)$ \\ 
\QTR{UserInput}{cosh(x)} & $\cosh x$ or $\cosh (x)$ \\ 
\QTR{UserInput}{sinh(x)} & $\sinh x$ or $\sinh (x)$ \\ 
\QTR{UserInput}{tanh(x)} & $\tanh x$ or $\tanh (x)$ \\ 
\QTR{UserInput}{arccosh(x)} & $\cosh ^{-1}x$ or $\cosh ^{-1}(x)$ \\ 
\QTR{UserInput}{arcsinh(x)} & $\sinh ^{-1}x$ or $\sinh ^{-1}(x)$ \\ 
\QTR{UserInput}{arctanh(x)} & $\tanh ^{-1}x$ or $\tanh ^{-1}(x)$ \\ 
\QTR{UserInput}{evalc(Re(x))} & $\func{Re}(x)$ \\ 
\QTR{UserInput}{evalc(Im(x))} & $\func{Im}(x)$ \\ 
\QTR{UserInput}{evalc(conjugate(x))} & $x^{\ast }$ \\ 
\QTR{UserInput}{union} & $\cup $ \\ 
\QTR{UserInput}{intersection} & $\cap $%
\end{tabular}
\end{center}

\strut

\subsection{\ Calculus}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \\ \hline\hline
\QTR{UserInput}{diff(x*sin(x),x)} & $\frac{d}{dx}\left( x\sin x\right) 
\vspace{6pt}$ \\ 
\QTR{UserInput}{D(f)} & $f^{\prime },Df,D\vspace{6pt}$ \\ 
\QTR{UserInput}{D(f)(3)} & $f^{\prime }(3)\vspace{6pt}$ \\ 
\QTR{UserInput}{int(x*sin(x),x)} & $\int x\sin x\,dx\vspace{6pt}$ \\ 
\QTR{UserInput}{int(x*sin(x),x = 0..1)} & $\int_{0}^{1}x\sin x\,dx\vspace{6pt%
}$ \\ 
\QTR{UserInput}{limit(sin(x)/x,x=0)} & $\lim_{x\rightarrow 0}\frac{\sin x}{x}%
\vspace{6pt}$ \\ 
\QTR{UserInput}{sum(i\symbol{94}2,2\symbol{94}i, i = 1..infinity)} & $%
\sum_{i=1}^{\infty }\frac{i^{2}}{2^{i}}$%
\end{tabular}
\end{center}

\strut

\subsection{\ Linear Algebra}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \\ \hline\hline
\QTR{UserInput}{multiply(A,B)} & $AB\vspace{6pt}$ \\ 
\QTR{UserInput}{inverse(matrix(2,2,[1,2,3,4])} & $\left[ 
\begin{array}{cc}
1 & 2 \\ 
3 & 4
\end{array}
\right] ^{-1}\vspace{12pt}$ \\ 
\QTR{UserInput}{transpose(matrix(2,2,[1,2,3,4])} & $\left[ 
\begin{array}{cc}
1 & 2 \\ 
3 & 4
\end{array}
\right] ^{T}\vspace{12pt}$ \\ 
\QTR{UserInput}{map(x -\TEXTsymbol{>} x mod 17,A)} & $A\func{mod}17\vspace{%
6pt}\vspace{6pt}$ \\ 
\QTR{UserInput}{htranspose(matrix(2,2,[1,I+1,-I,2])} & $\left[ 
\begin{array}{cc}
1 & i+1 \\ 
-i & 2
\end{array}
\right] ^{H}\vspace{12pt}$ \\ 
\QTR{UserInput}{multiply(A,inverse(B))} & $AB^{-1}\vspace{6pt}\vspace{12pt}$
\\ 
\QTR{UserInput}{map(x -\TEXTsymbol{>} x mod 17,inverse(A))} & $A^{-1}\func{%
mod}17\vspace{12pt}$ \\ 
\QTR{UserInput}{linalg[norm(x,n)]} & $\left\| x\right\| _{n}\vspace{12pt}$
\\ 
\QTR{UserInput}{li\vspace{0pt}nalg[norm(x,frobenius)]} & $\left\| x\right\|
_{F}\vspace{12pt}$ \\ 
\QTR{UserInput}{li\vspace{1pt}nalg[norm(x,infinity)]} & $\left\| x\right\|
_{\infty }$%
\end{tabular}
\end{center}

\subsection{\ Vector Calculus}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \\ \hline\hline
\QTR{UserInput}{grad(x*y*z,[x,y,z])} & $\nabla xyz\vspace{6pt}$ \\ 
\QTR{UserInput}{norm(array([1,-3,4]),p)} & $\left\| \left( 1,-3,4\right)
\right\| _{p}\vspace{6pt}$ \\ 
\QTR{UserInput}{crossprod(array([1,-3,4]),array([2,2,-5]))} & $\left[ 
\begin{array}{c}
1 \\ 
-3 \\ 
4
\end{array}
\right] \times \left[ 
\begin{array}{c}
2 \\ 
2 \\ 
-5
\end{array}
\right] \vspace{12pt}$ \\ 
\QTR{UserInput}{diverge(vector([x,x*y,y-z]),vector([x,y,z]))} & $\nabla
\cdot \left( x,xy,y-z\right) \vspace{6pt}$ \\ 
\QTR{UserInput}{curl(vector([x,x*y,y-z]),vector([x,y,z]))} & $\nabla \times
\left( x,xy,y-z\right) \vspace{6pt}$ \\ 
\QTR{UserInput}{laplacian(x\symbol{94}2*y*z\symbol{94}3,[x,y,z])} & $\nabla
^{2}\left( x^{2}yz^{3}\right) \vspace{5.76pt}$%
\end{tabular}
\end{center}

\strut

\subsection{\ Special Functions \label{Special Functions}}

\strut

\begin{center}
\begin{tabular}{l|l}
Maple V & \textsl{Scientific Notebook}{} \\ \hline\hline
\QTR{UserInput}{BesselI(v,z)} & $I_{v}(z)$ \\ 
\QTR{UserInput}{BesselK(v,z)} & $K_{v}(z)$ \\ 
\QTR{UserInput}{BesselJ(v,z)} & $J_{v}(z)$ \\ 
\QTR{UserInput}{BesselY(v,z)} & $Y_{v}(z)$ \\ 
\QTR{UserInput}{Si(x)} & $\func{Si}(x)$ or $\int_{0}^{x}\frac{\sin t}{t}dt$
\\ 
\QTR{UserInput}{erf(x)} & $\func{erf}(x)$ or $\frac{2}{\sqrt{\pi }}%
\int_{0}^{x}e^{-t^{2}}dt$ \\ 
\QTR{UserInput}{erfc(x)} & $1-\func{erf}(x)$ \\ 
\QTR{UserInput}{Ai(x)} & $\limfunc{Ai}(x)$ or \textsf{Solve ODE }$y^{\prime
\prime }-yx=0$ \\ 
\QTR{UserInput}{Bi(x)} & $\limfunc{Bi}(x)$ or \textsf{Solve ODE }$y^{\prime
\prime }-yx=0$ \\ 
\QTR{UserInput}{Ci(x)} & $\func{Ci}(x)$ or $\limfunc{gamma}+\ln
x-\int_{0}^{x}\frac{1-\cos t}{t}dt$ \\ 
\QTR{UserInput}{Ei(x)} & $\func{Ei}(x)$ or $\int_{-\infty }^{x}\frac{e^{t}}{t%
}dt$ \\ 
\QTR{UserInput}{Psi(x)} & $\limfunc{Psi}(x)$ \\ 
\QTR{UserInput}{Zeta(x)} & $\zeta (x)$%
\end{tabular}
\end{center}

\strut

\subsection{\ Related topics}

\begin{itemize}
\item  \hyperref{Maple Functions}{}{}{DM5-5.tex#Maple functions}

\item  \hyperref{Exercises and Solutions}{}{}{DM5-7.tex#Exercises}
\end{itemize}

\rule{0.67in}{0.01in}

\hyperref{\FRAME{itbpF}{38.875pt}{24.5pt}{6pt}{}{}{index.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";maintain-aspect-ratio
TRUE;display "PICT";valid_file "F";width 38.875pt;height 24.5pt;depth
6pt;original-width 36.875pt;original-height 22.5625pt;cropleft "0";croptop
"1";cropright "1";cropbottom "0";filename 'index.wmf';file-properties
"XNPEU";}}}{}{}{DMIndex.tex#Math Index}\quad {\small Index entries: 
\hyperref{Functions}{}{}{DMIndex.tex#Functions}, \hyperref{Maple constants}{%
}{}{DMIndex.tex#Maple constants}, \hyperref{Maple functions}{}{}{%
DMIndex.tex#Maple functions}, \hyperref{Maple menu}{}{}{DMIndex.tex#Maple
menu commands}}

\end{document}
