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| Hello Dan. Strictly spoken I sum not over generators, but over the whole group. That is the trick that Conjugate[T[a]] . H . T[a] equals H. The details are outlined in the text cited. Correction: it must be of course ... |
| The i.c. is not ignored. It's because `NDSolve` hasn't used enough grid points for spatial discretization. Hans doesn't observe this phenomenon in version 7 because there's a silent change in prior error estimation of `NDSolve` in version 9. This... |
| Hello all, having heateq = D[fT[x, t], t] - a D[fT[x, t], x, x]; fLT = LaplaceTransform[heateq, t, s] (*-fT[x,0]+s LaplaceTransform[fT[x,t],t,s]-a LaplaceTransform[(fT^(2,0))[x,t],t,s]*) is there a more simple and concise way to... |
| Yes, exactly what I was looking for! Thanks a lot! |
| Here is the whole procedure dgl = f'[t] == k f[t] - c sol = f[t] /. DSolve[dgl, f[t], t][[1, 1]] /. C[1] -> u ff[u_] := Evaluate[sol] (*ff fulfills the diff equation*) D[ff[u], t] - (k ff[u] - c) // Simplify (*you have... |
| Thanks to all who replied. The method I'll use is to draw the first arrow solid and then overlay that with the second arrow dashed. This has the desired effect of alternating colors. |
| Yes, respected professor. I will share it with you through email you when I get it from them. Regards Zeeshan |
| Here is another way to get a RotationMatrix which transforms x to xp ( and vice versa) rotM // MatrixForm RotationMatrix[Pi, (xx + xxp)/2] // MatrixForm RotationMatrix[Pi, (xx + xxp)/2].xx RotationMatrix[Pi, (xx + xxp)/2].xxp |
| What I get: X = 1.90661; Y = -0.09122; Z = -0.43421; U = 0.43308; V = 1.906868; W = -0.09122; AbsoluteTiming[ ns2 = NSolve[{X*(Sqrt[1 - c^2]*Sqrt[1 - b^2] - Sqrt[1 - a^2]*b*c) + Y*(Sqrt[1 -... |
| Hello Karl, 1) I suggest that you rescale your problem to get rid of these nasty powers of ten. You can plot your problem from 2.5 to 2.8 rembering to apply a factor of 10^(-7) later on. 2) What do you mean by gaussian function? A normal... |