Maxima, Maple, and Mathematica: the Summary~

                        Maxima, Maple, and Mathematica: the Summary

Before going any further, let us summarise in Table 2.1 what we have glimpsed of Maxima, Maple, and Mathematica so far.

 

	Maxima	Maple	Mathematica
limit	limit(x-7,x,3);	limit(x-7,x=3);	Limit[x-7,x->3]
expand	expand((a+b)^3);	expand((a+b)^3);	Expand[(a+b)^3]
factor	factor(%); ezgcd(num, denom);	factor(%); normal(%);	Factor[%]
solve	solve(a*x^2=4,x);	solve(a*x^2=4,x);	Solve[a x^2==4,x]
3D plots	plot3d(sin(x*y),[x,-2,2],[y,-1,1]);	plot3d(sin(x*y),x=-2..2,y=-1..1);	Plot3D[Sin[x y],{x,-2,2},{y,-1,1}]
display	set_plot_option([plot_format,gnuplot]);	plotsetup(x11);	Display["math.eps", %, "EPS"]
environment	plot_options;	plotsetup();	$DisplayFunction
integral	integrate(x^2*sin(alpha*x),x,0,beta);	int(x^2*sin(alpha*x),x=0..beta);	Integrate[x^2 Sin[alpha x],{x,0,beta}]
integer factor		ifactor(%);	FactorInteger(%)
square root	sqrt(3);	sqrt(3);	Sqrt[3]
numerical	ev(%,numer);	evalf(%);	N[%,10]
substitution	ev(%,x=1,y=2); or at(%,[x=1,y=2]);	eval(%,[x=1,y=2]);	ReplaceAll[%,{x->1,y->2}]
sum	sum((1+i)/(1+i^4),i,1,10);	sum((1+i)/(1+i^4),i=1..10);	Sum[(1+i)/(1+i^4),{i,1,10}]
delayed	'sum((1+i)/(1+i^4),i,1,10);	Sum((1+i)/(1+i^4),i=1..10);	use :=
product	product((i^2+3*i-11)/(i+3),i,0,10);	product((i^2+3*i-11)/(i+3),i=0..10);	Product[(i^2+3*i-11)/(i+3),{i,0,10}]
delayed	'product((i^2+3*i-11)/(i+3),i,0,10);	Product((i^2+3*i-11)/(i+3),i=0..10);	use :=
infinity	INF	infinity	Infinity
complex	%I	I	I
	rectform(%);	convert(%,rect);
	polarform(%);	convert(%,polar);
	realpart(%);	Re(%);	Re[%]
	imagpart(%);	Im(%);	Im[%]
	abs(%);	abs(%);	Abs[%]
	carg(%);	argument(%);	Arg[%]
trigonometry	trigsimp(%); trigrat(%);	simplify(%);	Simplify[%], TrigSimp[%], TrigReduce[%]
	trigexpand(%);		TrigExpand[%]
other	trigrat(%);		TrigFactor[%]
functions	f(x):=x^2+1/2; or define(f(x),x^2+1/2);	f:=x->x^2+1/2; or f:=unapply(x^2+1/2,x);	f[x_]=x^2+1/2 or f=Function[x,x^2+1/2]
derivatives	diff(f(x),x,2);	diff(f(x),x&2);	D[f[x],{x,2}]
delayed	'diff(f(x),x,2);	Diff(f(x),x&2);	use :=
arrays	array([x, y], 300);	x := array(1..300);	Array[x, 300]
split expression	pickapart(%, 4);	addressof(%);	FullForm[%];
		disassemble(%);	[[3]]
		pointto(a[2]);	ReplacePart[Out[32], Expand[Out[54]], 1]
		rhs(solutions[2]);
terminator	; or $	;	newline or ;
range	[x,-2,2]	x=-2..2	{x,-2,2}
times	*	*	space or *
last result	%	%	%
assignment	:	:=	=
equality	=	=	==

 
源地址：http://beige.ucs.indiana.edu/P573/node35.html

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