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The Maxima on-line user's manual

Algebra Calculator

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Del Calculator

Del

Function: del (<x>) del (<x>) represents the differential of the variable x.

expr: x . dx . dy + z . dy . dz + y . dx . dz;
expr2: x . [dx, dy] + z . [dy, dz] + y . [dx, dz];
expr3: x * [dx, dy] + z * [dy, dz] + y * [dx, dz];
expr4: [x, dx, dy] + [z, dy, dz] + [y, dx, dz];
expr5: [[x, dx, dy], [z, dy, dz], [y, dx, dz]];
expr6: x . del(x) . del(y) + z . del(y) . del(z) + y . del(x) . del(z);
part(expr, 1);
length(expr);
op(expr);
args(expr);
map(op, args(expr));
map(args, args(expr));
map(args, args(expr6));
diffform(vars, expr) := block(    [n, k],    0);
diff(x + y);

diff returns an expression containing del if an independent variable is not specified. In this case, the return value is the so-called "total differential".

Examples:

          (%i1) diff (log (x));
                                       del(x)
          (%o1)                        ------
                                         x
          (%i2) diff (exp (x*y));
                               x y              x y
          (%o2)            x %e    del(y) + y %e    del(x)
          (%i3) diff (x*y*z);
          (%o3)         x y del(z) + x z del(y) + y z del(x)

There are also some inexact matches for del. Try ?? del to see them.

(%o1)                                true
(%i2) 

Del Example

Related Examples

del-kill

kill(all);

v1:1.0;

d:0.1;

Calculate

del-kill

kill(all);

v1:1.0;

d:0.1;

Calculate

del-sqrt

xK: [8.64066, 9.83436...

yK: [6.1, 10.4, 13.3];

xK1: [12.8953, 13.64,...

Calculate

del-sqrt

xK: [8.64066, 9.83436...

yK: [6.1, 10.4, 13.3];

xK1: [12.8953, 13.64,...

Calculate

del

del(x)*del(y) + del(y...

Calculate

del-diff-eval

a1 = 1;

b1 = -2*((1/2)*((s - ...

c1 = ((1/2)*((s - x)^...

Calculate

del

del(x)*del(y) + del(x);

Calculate

del

del(x)*del(y) + del(x);

Calculate

del

sol([S(t)=S(t-del)/(1...

Calculate