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| I tried with **Maple 2023** ,but **1 hour** computation I **aborted**. Only numerically: eq = (26 + 18 x)/(2 Sqrt[91 + 26 x + 9 x^2]) + (33 + 64 x)/(2 Sqrt[70 + 33 x + 32 x^2]) + (39 + 74 x)/(2 Sqrt[49 + 39 x + 37... |
| Parameter fixing L = 0.001; d = 0.001; l = 0.001; B = 0.1; M = 0.001; k = 1; R = 0.001; g = 10; rx0 = L/2; rz0 = L/2 + d + l/2; r0 = Sqrt[rx0^2 + rz0^2]; A0 = -rz0 rx0; Fz0 =... |
| Hi Hoa, Seems like you are new to the Wolfram Language / Mathematica. The code you shared just defines a function named `ShowCA`. You have to evaluate an expression involving the function and its arguments. Simple example Define a function... |
| Hi A, don't be surprised. The identity that produces Sech as the soution to the KdV equation involves the inversion of the elliptic integral F[ArcSinh.] in order to get an solution x-> sech 0 d/dx JacobiAmplitude[x,1]. But the general... |
| Hi Lukas, Definite integrals are very slow because the general case is overloaded with determining all condition sets on all parameters. Especially for singular points, as infinity is in most cases, the generation of conditions for the existence... |
| It is not to difficult but as often it goes faster by hand than by programming and testing and use it once only. You can Import the notebook as a text object text= Import[ file.nb]; Then you can determine the position of "Section" in... |
| Without knowing the frame you are working in: A Tensor is an array of covariant and contravariant ordered index groups. The tensor can be witten by the sum of products of the elements of the array with the tensor product of the basis vectors e_i... |
| soln = TrigToExp[y[x] /. sol[[1]]] // Simplify // ExpandAll Cases[soln, c_ Exp[__] -> c] |
| Hi David, **GaussianFilter** is a standard smoothing method for data lists. Its the discrete version of smoothing a function with a moving average produced by the convolution of a piecewise continuous function with a Gaussian kernel ~... |
| Reflection at zero of the Wiener process is relatively simple. The Wiener differential definitiion using **SetDelayed**:to yield an independent value at each call dW : = sigma (dt)^(1/2) RandomReal[NormalDistribution[0,1]] Typical is... |