I suppose you would have to programme this, because I couldn't find anything relating to vector spaces in my Maplesoft Linear Algebra tutor or package.

My question really is, you have a problem like, the set of all pairs of real numbers of the form (1,x) with the operations (1,y)+(1,y')=(1,y+y') and k(1,y)=(1,ky) 

( ^ taken straight out of my homework haha)

and you run through the 10 vecctor space axioms to determine whether it fails and it not a vector space, or it passes all and it is a vector space.

Is there a way to do this in Maplesoft?

Hell

I write this code and didn't work , I have some erorrs as

Warning, The use of global variables in numerical ODE problems is deprecated, and will be removed in a future release. Use the 'parameters' argument instead (see ?dsolve,numeric,parameters)
Warning, cannot evaluate the solution past the initial point, problem may be complex, initially singular or improperly set up

also I have question " How I can change the scale of plot"

parameters := [z = 0, Omega = 2.2758, tau = 13.8, T2 = 200, omega0 = 1, r = .7071, s = 2.2758, H = 1.05457173*10^(-34), omega = .5, k = 1666666.667, Delta = 1.7758]

sys1 := {diff(u(t), t) = s*v(t)-u(t)/T2, diff(v(t), t) = -s*u(t)-2*Omega*exp(-r^2/omega0^2-t^2*1.177^2/tau^2)*cos(kz-`ωt`)*w(t)-v(t)/T2, diff(w(t), t) = 2*Omega*exp(-r^2/omega0^2-t^2*1.177^2/tau^2)*cos(kz-`ωt`)*v(t)}; ICs1 := {u(-20) = 0, v(-20) = 0, w(-20) = -1}

ans1 := dsolve(`union`(eval(sys1, parameters), ICs1), numeric, output = listprocedure); plots:-odeplot(ans1, [[t, u(t)], [t, v(t)], [t, w(t)]], t = -20 .. 20, legend = [w, v, u])

U := eval(u(t), ans1); F := eval(((-2*10^33*Omega*H*r*U(t))*(1/omega0^2))*exp(-r^2/omega0^2-t^2*1.177^2/tau^2)*cos(kz-`ωt`), parameters)

plot(F, t = -20 .. 20)

if there is a set of identities, such as a+b = b+a, a^2 = 2*a + 1

and one input or a few input,

how to make use of these identities to derive some output?

any algorithm can do this?

Hi,

I'm new here and I couldn't find similar problem in this forum.

I want to use variable (red marked) with unit definite integrals but it doesn't work. I put the file with units and file without units (to check correct solution) in this post.

What to do?

Files:

01_referat(units).mw

01_referat(without_u.mw

Is there any simple way in maple 16 to fix the axis width and height on inline plot? The PlotSetup seems dosen't function properly in my windows7 home 64 bit! Thank you.

Hello my friends

I have a problem in displaying the mesh grid in my plot3d graphs in maple 17. For instance, I when I type:

plot3d(x^2-y^2, x = -1 .. 1, y = -1 .. 1)

The graph has no mesh grid on it. I mean I am not seeing the black lines on the 3d surface. Can anyone help me to display the mesh grid please? Thanks. 

which method i input a series of random number it output a periodic waveform

how to express bosonic and fermonic with physics package in maple?

what are the difference between upperscript and underscript?

restart:

lambda1:=(1/(K+2))*(S+sqrt(2*alpha*(K+2)+S^2));

lambda2:=(1/(K+2))*(S-sqrt(2*alpha*(K+2)+S^2));

where K>=0, S (-15, 15) and alpha (-15, 15). While plotting for small values of S and alpha, I get complex roots.

• How we can avoid the complex roots?
• Is it possible to impose a condition in plotting? 

  solve(lambda1=lambda2,S);

  solve(lambda1=lambda2,alpha);

  solve(lambda1=lambda2,K);

• How to single out the range of S and alpha for which we have complex roots?

Thanks

How to prove  that there exists an integer number x s.t. x>0, x < 4*99! and x*(x+1) is divisible by 100! with Maple?
I know that was solved by C++ code.

Consider the ring R of upper-triangular matrices over the field of 3 elements.  I would like to have a multiplication table for this ring. Is it possible to generate such a table in Maple?  Thank you.

i wanted a taylor series  of the expression sin(xy) my code;

mtaylor(sin(x*y),[x=1,y=2],6); and it worked like a charm

sin(2)+2*cos(2)*(x-1)+cos(2)*(y-2)-2*sin(2)*(x-1)^2+(-2*sin(2)+cos(2))*(y-2)*(x-1)-(1/2)*sin(2)*(y-2)^2-(4/3)*cos(2)*(x-1)^3+(-2*sin(2)-2*cos(2))*(y-2)*(x-1)^2+(-sin(2)-cos(2))*(y-2)^2*(x-1)-(1/6)*cos(2)*(y-2)^3+(2/3)*sin(2)*(x-1)^4+(-2*cos(2)+(4/3)*sin(2))*(y-2)*(x-1)^3+(-2*cos(2)+(1/2)*sin(2))*(y-2)^2*(x-1)^2+(-(1/2)*cos(2)+(1/3)*sin(2))*(y-2)^3*(x-1)+(1/24)*sin(2)*(y-2)^4+(4/15)*cos(2)*(x-1)^5+((4/3)*sin(2)+(2/3)*cos(2))*(y-2)*(x-1)^4+(-(1/3)*cos(2)+2*sin(2))*(y-2)^2*(x-1)^3+(-(1/6)*cos(2)+sin(2))*(y-2)^3*(x-1)^2+((1/12)*cos(2)+(1/6)*sin(2))*(y-2)^4*(x-1)+(1/120)*cos(2)*(y-2)^5

now i need to plot the darn thing. so i tried to use tayplot function but i get nothing. is there a special package i need to use tayplot etc..?

Hello dear all,

I use maple 16, x64. When I run this code:

Student[Calculus1][ApproximateInt](cos(y/(-1+y)), y = 0 .. 1, method = lower, iterations = 1)

it results in "0.0667344650", exactly equal with the result of executing

Student[Calculus1][ApproximateInt](cos(y/(-1+y)), y = 0 .. 1, method = lower, iterations = 10000000000)

Any idea?

Best regards

How to do composition for finite group?

is the composition like permutation group ?

if express finite group like permutation group,

if so, can elements in first row duplicate? can the second row duplicate?

however, do not know how to map when there are more than or equal two choices

my guess is that

if finite group can be expressed into permutation group

for example 3*3 matrx, each column is a permutation group

then there will be 3 permutation groups, when do composition , first column's permutation group composite with first column's permutation group , second composite with second etc

is it right?

Hi all,

A  stupid question.

I noticed that there are some difference between the Vector and the Nx1/1xN Matrix, for example:

It confused me. Why Maple should distinguish the vector and the Nx1/1xN matrix? 

If it is due to the need of vector analysis, I refered to VectorCalculus of Maple Help and it seems that Maple used the additional package and command to handle the question about vector analysis, for example:

I'd appreciate any help on this topic. Thank a lot.