Maple 15 Questions and Posts Maple 15 Questions and Posts Feed

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Hello,

Questions

1)  Can we compute the error  ( x(t-2*Pi) - x(t) )  without plotting  abs(  x( t-2*Pi ) - x(t) ) ?

     i.e. using norm 1, 2 or infinity  ?

 

2)  what is op( [ a, b, c] , F ),  where F is a piecewise function ?


Download example.mw

 

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how to use python to call maple and scroll up or down scrollbar

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Hi, I have this procedure (from Maple 5) but I am using it in Maple 15. My problem is this program can not run. I think there is some commond incorrect, but not sure which ones. Please help me in this problem. Thanks a lot.

cocycle.mw

NULL

Cocycle := proc (L, n) local i, j, k, h, v, u, w, C, eqns, e, f, g; v := vector(n); eqns := {}; u := vector(n); w := vector(n); C := array(antisymmetric, 1 .. n, 1 .. n, []); for i to n do for j from i+1 to n do for k from j+1 to n do for h to n do v[h] := L[i, j, h]; u[h] := L[j, k, h]; w[h] := L[k, i, h] end do; e := array(sparse, 1 .. n, [k = 1]); f := array(sparse, 1 .. n, [i = 1]); g := array(sparse, 1 .. n, [j = 1]); eqns := `union`(eqns, multiply(transpose(e), multiply(C, v)))+multiply(transpose(f), multiply(C, u))+multiply(transpose(g), multiply(C, w)) end do end do end do; print('The*cocycles*are', eqns) end proc

proc (L, n) local i, j, k, h, v, u, w, C, eqns, e, f, g; v := vector(n); eqns := {}; u := vector(n); w := vector(n); C := array(antisymmetric, 1 .. n, 1 .. n, []); for i to n do for j from i+1 to n do for k from j+1 to n do for h to n do v[h] := L[i, j, h]; u[h] := L[j, k, h]; w[h] := L[k, i, h] end do; e := array(sparse, 1 .. n, [k = 1]); f := array(sparse, 1 .. n, [i = 1]); g := array(sparse, 1 .. n, [j = 1]); eqns := `union`(eqns, multiply(transpose(e), multiply(C, v)))+multiply(transpose(f), multiply(C, u))+multiply(transpose(g), multiply(C, w)) end do end do end do; print('The*cocycles*are', eqns) end proc

(1)

NULL

NULL


Download cocycle.m

>
>
> w0 := 2*pi*sqrt(5)*10^9;
>
> mu0 := 4*pi*10^(-7); pi := 3.14; wepnorm := 4*pi*sqrt(3)*10^9; wmpnorm := 2*pi*sqrt(6)*10^9; wmpz := 4*pi*10^9; w := 10;
> k0 := w0/c; d := 10^(-9);
> enorm := e0*(1-wepnorm^2/w^2); munorm := mu0*(1-wmpnorm^2/w^2); mz := mu0*(1-wmpz^2/w^2); c := 3*10^8; e0 := 8.85*10^(-12);
> t1 := enorm*mz/(e0*mu0)-1; t2 := mz/munorm;
> eq1 := alpha0^2+t2*k1z^2-t1*k0^2;
>
>
>
>
>
>
>
t:=0:
for alpha0 from 0 to 25 by 5 do
t:=t+1:
>
k1z[t]:=fsolve(eq1,k1z,complex):

od:
Eff:=[seq([k1z[i],alpha0[i]],i=1..t)]:

with(plots):
display(plot(Eff,color=red));

Error, (in plot) found points with fewer or more than 2 components

 

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how we can solve an ode with boundaries by using RK4 and any other technique??

how we can solve an ode with exat soltuion n calculate the unknw constant which aries after solving an ode.???

cerebrrin

 

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     Parallel curves on surfaces. The distance between the points of the curves is measured along the curves of intersection of the surface and perpendicular planes.
     (According to tradition, it also does not make sense.)

equidistant_curve_surface_MP.mw

 









 

 

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