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\samepage \begin{tabular}{|ccl|} \hline
Character && Function \\  \hline
\multicolumn{3}{|c|}{Line Editing}\\ 
\verb~^B~ && move back a single character.\\ 
\verb~^F~ && move forward a single character.\\ 
\verb~^A~ && move to the beginning of the line.\\ 
\verb~^E~ && move to the end of the line.\\ 
\verb~^H, DEL~ && delete the previous character.\\ 
\verb~^D~ && delete the current character.\\ 
\verb~^K~ && delete from current position to the end of line.\\ 
\verb~^L, ^R~ && redraw line in case it gets trashed.\\ 
\verb~^U~ && delete the entire line. \\ 
\verb~^W~ && delete from the current word to the end of line. \\  \hline
\multicolumn{3}{|c|}{History} \\ 
\verb~^P~ && move back through history.\\ 
\verb~^N~ && move forward through history.\\ 
\hline
\end{tabular}
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\samepage \begin{tabular}{|ccl|} \hline
Arrow key & Function & \\  \hline
Left      & same as \verb~^B~. & \\ 
Right     & same as \verb~^F~. & \\ 
Ctl Left  & same as \verb~^A~. & \\ 
Ctl Right & same as \verb~^E~. & \\ 
Up        & same as \verb~^P~. & \\ 
Down      & same as \verb~^N~. & \\ 
\hline
\end{tabular}
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\samepage \begin{tabular}{|ccl|} \hline
Arrow key & Function & \\  \hline
Undo      & same as \verb~^L~. & \\ 
Home      & same as \verb~^A~. & \\ 
Ctrl Home & same as \verb~^E~. & \\ 
ESC       & same as \verb~^U~. & \\ 
Help      & `{\bf help}' plus return. & \\ 
Ctrl Help & `{\bf help }'. & \\ 
\hline
\end{tabular}
}

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\samepage \begin{tabular}{|ccl|} \hline
Function & Arguments & Returns \\  \hline
abs(x) & any  &  absolute value of {\tt x}, $|x|$; same type \\ 
abs(x) & complex &  length of {\tt x}, $\sqrt{{\mbox{real}(x)^{2} +
\mbox{imag}(x)^{2}}}$ \\ 
acos(x) & any  & $\cos^{-1} x$ (inverse cosine) in radians \\ 
arg(x) & complex & the phase of $x$ in radians\\ 
asin(x) & any  & $\sin^{-1} x$ (inverse sin) in radians \\ 
atan(x) & any  & $\tan^{-1} x$ (inverse tangent) in radians \\ 
besj0(x) & radians &  $j_{0}$ Bessel function of $x$ \\ 
besj1(x) & radians & $j_{1}$ Bessel function of $x$ \\ 
besy0(x) & radians & $y_{0}$ Bessel function of $x$ \\ 
besy1(x) & radians & $y_{1}$ Bessel function of $x$ \\ 
ceil(x) & any & $\lceil x \rceil$, smallest integer not less than $x$
(real part) \\ 
cos(x) & radians & $\cos x$, cosine of $x$ \\ 
cosh(x) & radians & $\cosh x$, hyperbolic cosine of $x$ \\ 
erf(x) & any & $\mbox{Erf}(\mbox{real}(x))$,  error function of real($x$) \\ 
erfc(x) & any & $\mbox{Erfc}(\mbox{real}(x))$,  1.0 - error function of real($x$) \\ 
exp(x) & any & $e^{x}$,  exponential function of $x$ \\ 
floor(x) & any & $\lfloor x \rfloor$,  largest integer not greater
than $x$ (real part) \\ 
gamma(x) & any & $\mbox{Gamma}(\mbox{real}(x))$,  gamma function of real($x$) \\ 
ibeta(p,q,x) & any & $\mbox{Ibeta}(\mbox{real}(p,q,x))$,  ibeta function of real($p$,$q$,$x$) \\ 
inverf(x) & any &  inverse error function of real($x$)  \\ 
igamma(a,x) & any & $\mbox{Igamma}(\mbox{real}(a,x))$,  igamma function of real($a$,$x$) \\ 
imag(x) & complex &  imaginary part of $x$ as a real number \\ 
invnorm(x) & any &  inverse normal distribution function of real($x$)  \\ 
int(x) & real &  integer part of $x$, truncated toward zero \\ 
lgamma(x) & any & $\mbox{Lgamma}(\mbox{real}(x))$,  lgamma function of real($x$) \\ 
log(x) & any & $\log_{e} x$,  natural logarithm (base $e$) of $x$ \\ 
log10(x) & any & $\log_{10} x$,  logarithm (base $10$) of $x$ \\ 
norm(x) & any & normal distribution (Gaussian) function of real($x$) \\ 
rand(x) & any & $\mbox{Rand}(\mbox{real}(x))$,  pseudo random number generator \\ 
real(x) & any &  real part of $x$ \\ 
sgn(x) & any & 1 if $x>0$, -1 if $x<0$, 0 if $x=0$. imag($x$) ignored \\ 
sin(x) & radians & $\sin x$, sine of $x$ \\ 
sinh(x) & radians & $\sinh x$, hyperbolic sine $x$ \\ 
sqrt(x) & any & $\sqrt{x}$,  square root of $x$ \\ 
tan(x) & radians & $\tan x$,  tangent of $x$ \\ 
tanh(x) & radians & $\tanh x$, hyperbolic tangent of $x$\\ 
\hline
\end{tabular}
}

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\samepage \begin{tabular}{|ccl|} \hline
\multicolumn{3}{|c|}{Binary Operators} \\ 
Symbol & Example & Explanation \\  \hline
\verb~**~ & \verb~a**b~ & exponentiation\\ 
\verb~*~ & \verb~a*b~ & multiplication\\ 
\verb~/~ & \verb~a/b~ & division\\ 
\verb~%~ & \verb~a%b~ & * modulo\\ 
\verb~+~ & \verb~a+b~ & addition\\ 
\verb~-~ & \verb~a-b~ & subtraction\\ 
\verb~==~ & \verb~a==b~ & equality\\ 
\verb~!=~ & \verb~a!=b~ & inequality\\ 
\verb~&~ & \verb~a&b~ & * bitwise AND\\ 
\verb~^~ & \verb~a^b~ & * bitwise exclusive OR\\ 
\verb~|~ & \verb~a|b~ & * bitwise inclusive OR\\ 
\verb~&&~ & \verb~a&&b~ & * logical AND\\ 
\verb~||~ & \verb~a||b~ & * logical OR\\ 
\verb~?:~ & \verb~a?b:c~ & * ternary operation\\ 
\hline
\end{tabular}
}

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\samepage \begin{tabular}{|ccl|} \hline
\multicolumn{3}{|c|}{Unary Operators}\\ 
Symbol & Example & Explanation \\  \hline
\verb@-@ & \verb@-a@ & unary minus \\ 
\verb@~@ & \verb@~a@ & * one's complement \\ 
\verb@!@ & \verb@!a@ & * logical negation \\ 
\verb@!@ & \verb@a!@ & * factorial \\ 
\hline
\end{tabular}
}

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