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2
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0answers
121 views

Smooth Max and Abs

I'm trying to implement smooth approximations of Max and Abs functions. Moreover I want the functions to map element-wise on tensors. Here's my code. ...
1
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0answers
56 views

Decimal representations of analytic values in an expansion

I have a solution to an ODE (which I call sol), which I would like to expand in terms of Log[1+x] around x=-1. I thought that: ...
0
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51 views

Approximate a function of four variables with a rational polynomial

I have a function that consists of four variables. Currently, I want to view it as function of one variable over the interval (0, 1) with the other three variables as parameters. I will plug values ...
0
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0answers
68 views

How do I estimate the Pareto front in my multiobjective optimization problem?

I need to minimize a function of two parameters that gives two "stress" outputs {A,B} = f[tau,mu]. How do I estimate (even roughly), the Pareto front for this ...
0
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0answers
45 views

How to approximate a computationally expensive 5-dimensional manifold?

I have a 4-parameter family of functions, which I'll refer to as y[a, b, c, d][x]. In this notation, a, b, c, d are the 4 ...
0
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0answers
38 views

Formulas for combining ChebyshevT coefficients?

I have two 5th-order (6th-order?) Chebyshev approximations: f1[x_] = Sum[a[n]*ChebyshevT[n,x],{n,0,5}] f2[x_] = Sum[b[n]*ChebyshevT[n,x],{n,0,5}] and f1[1] == ...
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0answers
125 views

Compute coefficient of Generating function

Given a generating function $F(z)$, is there any way to compute the coefficient $a_k$ of $z^k$ by Mathematica? One method is to calculate by the equation $\frac{F^{(k)}(0)}{k!}$. However, this ...