You maybe interested in first solving for a bundle of solutions, and then determining the best reaction rates (aka equation parameters). The second step is known as the inverse problem. Here's an example of how
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g≔tablecompts=1−2mr0000−11−2mr0000−r20000−r2sinθ2,index_char=−1,−1 (2) Compute the Christoffel symbols of the second kind using the appropriate routines: > d1g≔d1metricg,coord: > g_inverse≔invertg&comma...
Calculus of Variations Conversions DifferentialGeometry Logic Power Series Expansions type Formal Power Series Package Overview compose evalpow inverse multconst multiply negative powadd powcos powcreate powdiff powexp powint powlog powpoly powseries powsin powsolve powsqrt quotient reversion subtract tps...
arange(0,len(vert_sum),50) # for smoothing #smooth y_smooth = spline(x, vert_sum, xnew) #make a sin curve 1/3 of the width of image img_width, img_height = sobel_img.shape z = np.arange(0,int(img_width/3),1) def f(x): return np.sin(x/90)*-15 + 25 f = [f(i...
The HSI-SR can be interpreted as an inverse problem for merging a practically collected X and an observed Y to produce a latent Z. In this paper, the ideal Z is restored with HSR-Diff conditioned on spatio-spectral information of X and Y, the details of whi...
At the moment, the following functions are supported: sin, cos, tan, cot trigonometric functions, arcsin, arccos, arctan, arccot inverse trigonometric functions, sinh, cosh, tanh, coth hyperbolic functions, arsinh, arcosh, artanh, arcoth inverse hyperbolic functions, sqrt square root, crt cubic...
Figure 1. The forward diffusion process and the backward process (a) of the diffusion model (b). The inverse denoising process as shown in Figure 1b starts from the noise samples 𝑥𝑇xT and removes the noise step by step to recover the original data. During training, our target is ...
g12 = /x1,/x2 = 0, so that g** = r2 0 0 r2sin2 (x1) .(e) The n-Dimensional Sphere Let M be the n-sphere of radius r with generalized polar coordinates. y1 = r cos x1 y2 = r sin x1 cos x2 y3 = r sin x1 sin x2 cos x3 ... yn-1 = r sin x1 sin x2 ...
To return an inverse cosine of a given value expressed in degrees. This function operates Element-wise on matrices. acosh acosh(x) acosh(c) To return an inverse hyperbolic cosine of a given value. This function operates Element-wise on matrices. acot acot(x) acot(c) To return an inverse...