MaximaPHP sCal GCalc Calculator ZF sCal2 JUnitConv
MaximaPHP
Provides Maxima online, a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, systems of linear equations, polynomials, and sets, list, vector, matrices and tensors.
Dedicated to the memory of William Schelter.
Graphics plotting is made possible by Gnuplot 4.2.0.
Text | MathML | TeX | Maxima | Examples
Examples
You can refer to the last output and input using variables %lo and %li respectively.
Additionally variable %lx is used internally by MaximaPHP.
This examples are obtained using example(...) command from Maxima.
| evaluation | Evaluation in Maxima |
| | diff(x*f(x),x);
f(x):=sin(x);
ev(%th(2),diff) |
| | x;
x:3;
x;
'x |
| | f(x):=x^2;
'f(2);
ev(%,f);
'(f(2));
f(2);
sum(i!,i,1,4);
'sum(i!,i,1,4);
remvalue(x);
'integrate(f(x),x,a,b) |
| | for i thru 5 do s:i^2+s;
s;
ev(%,s:0);
ev(%th(2)) |
| | 'sum(g(i),i,0,n);
z*%e^z;
ev(%,z:x^2);
subst(x^2,z,%th(3));
a:%;
1+a;
kill(a,y);
a |
| | integrate(y^2,y) |
| | f(y):=diff(y*log(y),y,2) |
| | f(y):=1/y |
| | (y+x)^3;
diff(%,x) |
| equations | Equations in Maxima |
| | 1+x = y^2;
x-1 = 1+2*y;
%+%th(2);
%th(3)/y;
1/% |
| complex | Complex number in Maxima |
| | (sqrt(2.25)+sqrt(-4))^2;
expand(%) |
| | expand(sqrt(2*%i)) |
| arrays | Arrays in Maxima |
| | a[n]:=n*a[n-1];
a[0]:1;
a[5];
a[n]:=n;
a[6];
a[4] |
| functions | Functions in Maxima |
| | f(x):=y+x^2;
f(2);
ev(f(2),y:7) |
| | f(x):=1+sin(x)^2;
f(1+x);
g(y,z):=3*y+f(z);
ev(g(z+2*y,-0.5),y:7);
functions |
| | h(n):=sum(i*x^i,i,0,n) |
| | t[n](x):=ratexpand(2*x*t[n-1](x)-t[n-2](x));
t[0](x):=1;
t[1](x):=x;
t[4](y) |
| | g[n](x):=sum(ev(x),i,n,2+n);
h(n,x):=sum(ev(x),i,n,2+n);
g[2](i^2);
h(2,i^2) |
| | p[n](x):=ratsimp(diff((x^2-1)^n,x,n)/(2^n*n!));
q(n,x):=ratsimp(diff((x^2-1)^n,x,n)/(2^n*n!));
p[2];
p[2](1+y);
q(2,y);
p[2](5) |
| | f[i,j](x,y):=y^j+x^i;
g(fun,a,b):=print(fun,"
applied to ",a,"
and ",b,"
is ",fun(a,b));
g(f[2,1],sin(%pi),2*c) |
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