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exp-inf-integrate

f(x):=exp(-(x)^2);

integrate( (x-y-l)*f(...

Calculate

exp-log-plot2d
plot2d(f(x),[x,-10,10]);

f(x):=log(x)-x;

plot2d(f(x),[x,-10,10]);

f(exp(1));

Calculate

exp

eq1 = ((1-P*exp(-x))^...

eq2 = (-P*exp(-x)+P^2...

Ising = (P*exp(-x)+eq...

Calculate

exp-plot2d
plot2d(i,[t, 0, 1]);

E0: 1;

R: 10;

L: 1;

Calculate

exp-numer

exp(5), numer;

Calculate

exp-integrate

integrate(exp(-r*x)*1...

Calculate

exp-plot2d
plot2d(1/ ( 1 + exp(x)), [x, -5, 15], [y, -2,10]);

plot2d(1/ ( 1 + exp(x...

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exp-integrate

integrate(exp(-x^2), ...

Calculate

exp-plot3d
plot3d(x^2+y^2-exp(x^2+y^2),[x,-2,2],[y,-2,2]);

plot3d(x^2+y^2-exp(x^...

Calculate

exp-plot2d
plot2d(exp(-x),[x,0,1]);

plot2d(exp(-x),[x,0,1]);

Calculate

exp

Run Example
(%i1)a:exp(%i*2*%pi/3);
                                sqrt(3) %i   1
(%o1)                           ---------- - -
                                    2        2
(%i2) F:1/3*matrix([1,1,1],[1,a,a^2],[1,a^2,a]);
                  [ 1          1                  1         ]
                  [ -          -                  -         ]
                  [ 3          3                  3         ]
                  [                                         ]
                  [     sqrt(3) %i   1     sqrt(3) %i   1 2 ]
                  [     ---------- - -    (---------- - -)  ]
                  [ 1       2        2         2        2   ]
(%o2)             [ -   --------------    ----------------- ]
                  [ 3         3                   3         ]
                  [                                         ]
                  [     sqrt(3) %i   1 2   sqrt(3) %i   1   ]
                  [    (---------- - -)    ---------- - -   ]
                  [ 1       2        2         2        2   ]
                  [ -  -----------------   --------------   ]
                  [ 3          3                 3          ]
(%i3) M:((%i*Xc1*(RL+%i*Xc1))/(%i*Xc+RL+%i*XL));
                             %i Xc1 (RL + %i Xc1)
(%o3)                        --------------------
                              %i XL + RL + %i Xc
(%i4) 
Run Example
f(x,y):= exp(x+y)*(x-y);
(%o1)                    f(x, y) := exp(x + y) (x - y)
(%i2) g(x,y):= 2*x-2*yplot3d([ g(x,y)], [x,-5,5], [y,-5,5], [z,-10,10]);
(%o2) g(x, y) := 2 x - 2 yplot3d([g(x, y)], [x, - 5, 5], [y, - 5, 5], 
                                                                 [z, - 10, 10])
(%i3) 
Run Example
hex(psi) := 1.02 * exp(5.66 *psi);
(%o1)                   hex(psi) := 1.02 exp(5.66 psi)
(%i2) hex(-1.0);
(%o2)                         0.0035521672361759
(%i3) dhex(psi) := ''(diff(hex(psi),psi));
                                              5.66 psi
(%o3)                   dhex(psi) := 5.7732 %e
(%i4) dhex(-1.0);
(%o4)                          0.020105266556756
(%i5) f_vanL(ftsw)  := 1- exp(-5* ftsw);
(%o5)                 f_vanL(ftsw) := 1 - exp((- 5) ftsw)
(%i6) f_lebon(ftsw) := ftsw/0.4;
                                              ftsw
(%o6)                        f_lebon(ftsw) := ----
                                              0.4
(%i7) fh_vanL(psi)  := f_vanL(hex(psi));
(%o7)                  fh_vanL(psi) := f_vanL(hex(psi))
(%i8) fh_lebon(psi) := f_lebon(hex(psi));
(%o8)                 fh_lebon(psi) := f_lebon(hex(psi))
(%i9) g_vanL(psi)  := fh_vanL(psi)  / dhex(psi);
                                         fh_vanL(psi)
(%o9)                     g_vanL(psi) := ------------
                                          dhex(psi)
(%i10) g_lebon(psi) := fh_lebon(psi) / dhex(psi);
                                         fh_lebon(psi)
(%o10)                   g_lebon(psi) := -------------
                                           dhex(psi)
(%i11) g_vanL(-1.0);
(%o11)                         0.87559357230093
(%i12) g_lebon(-1.0);
(%o12)                          0.4416961130742
(%i13) plot2d([f_lebon,f_vanL],[ftsw,0,0.4]);
plotplot2d([f_lebon,f_vanL],[ftsw,0,0.4]);plot2d([g_lebon,g_vanL],[psi,-1.5,-0.33]);
plotplot2d([g_lebon,g_vanL],[psi,-1.5,-0.33]);

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