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The following code takes a vector x of variable length, computes the outer product of the vector with itself to form the matrix $rho$ of dimension $2^n times...
Asked on 06/03/2021
1 answerI would like to plot the points $(a,b,c)$ that simultaneously satisfy the equations$$a^2+b^2=1,qquad ac+bfrac{1+bc}{a}=0,qquad c^2+frac{(1+bc)^2}{a^2}=1.$$ I attempted to do this with ContourPlot3D asContourPlot3D[ {a^2+b^2,a...
Asked on 06/03/2021 by Jacob Bond
2 answerLet's say I have some closed curve, which could be given by a parametric representation, or by a closed spline as in:pts = {{-1, 0}, {-1, 1}, {0, 0},...
Asked on 06/03/2021 by Pirx
3 answerI am trying the use ListContourPlot with interpolation of the measured data to get smooth contour lines. I tried the methods in Data interpolation and ListContourPlot but they work...
Asked on 06/03/2021
1 answerI want to cancel the Auto Popup in the options menu. It turns to False but when I come back to the code it turns to true again. I clicked...
Asked on 06/03/2021 by Hadi
0 answerI'm trying to create my own set of polynomials orthogonal to weight $w(x)=x^{14}$ on $[-a,a]$. My code:N1=10;Int0[n_,x_]=Integrate[x*(DUO[n])^2*x^14,x];Int1[n_,x_]=Integrate[(DUO[n])^2*x^14,x];DUO[0]=1;DUO[1]=(x-Divide[Int0[0,N1]-Int0[0,-N1],Int1[0,N1]-Int1[0,-N1]])*DUO[0];DUO[n_]:=DUO[n]=((x-Divide[Int0[n-1,N1]-Int0[n-1,-N1],Int1[n-1,N1]-Int1[n-1,-N1]])*DUO[n-1])-(Divide[Int1[n-1,N1]-Int1[n-1,-N1],Int1[n-2,N1]-Int1[n-2,-N1]]*DUO[n-2]);DUO[2]However, when evaluating DUO[2], I keep on getting random and non-sensical...
Asked on 06/02/2021
1 answerSuppose I have an expression like so: $qquad {rm expr}=2,i,{rm Gamma}(4),pi, 9.93 f(x),g(y) frac{h(x, 4y)^3}{11 q}$ What is best (most succinct) way to extract out only the product of numbers?...
Asked on 06/02/2021 by Subho
1 answerThe green function is defined as: $left{begin{array}{l}G_{0}=1 G_{k}=sum_{j=1}^{k} phi^{prime} G_{k-j},quad k geqslant 1end{array}right.$ where $phi_{j}^{prime}=left{begin{array}{l}phi_{j}, 1 leqslant j leqslant 2 0, j>2end{array}right.$ I want to use...
Asked on 06/02/2021 by Charmbracelet
1 answerI was trying to find the range of a function I obtained in some context. The code is as follows FunctionRange[{1/2 (1 - Sqrt[-1 + 4 Abs[x]] Sqrt[-1 +...
Asked on 06/02/2021 by Erosannin
1 answerI'm a newbie with Mathematica, I know it's a basic answer, but I can't solve the problem on my own. I have the following equation reflecting insect aggregation at low...
Asked on 06/02/2021
2 answerGet help from others!
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