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How can I create a function that would have as its argument an array mat of 0s, 1s, and 2s where the 2s are burning trees and the function would...
Asked on 03/13/2021 by jbl
3 answerI want to compute the limit $qquad lim limits_{ntoinfty} cosleft( pi sqrt{4n^2 + 5n + 1} right)$ for integer $n$. By completing the square, we can determine that...
Asked on 03/13/2021 by GohP.iHan
4 answerI would like to determine a closed-form expression for the following symbolic integral $$ int_{-1/2}^{1/2} !!!! mathrm{d} x int_{-1/2}^{1/2} !!!! mathrm{d} y , frac{1 + b x + c y}{1...
Asked on 03/13/2021 by jibe
2 answerTake a list with repetitions, say {a, a, b, c}, and some permutation thereof, say {c, a, b, a}. I want to know which permutations of the new list return...
Asked on 03/13/2021
2 answerI am having trouble adding a point to mark the Min values of each parabola when using the Manipulate command?Manipulate[ Plot[x^2 - 2*(a - 2)*x + a - 2,...
Asked on 03/13/2021 by computer891
1 answerI am trying to integrate a product of 2 Legendre polynomials as follows:Integrate[LegendreP[1, x] LegendreP[2l+1, x], {x, -1, 1}]I get the result:Sin[2 l [Pi]]/(l (3 + 2 l)...
Asked on 03/13/2021
4 answerI need to represent $M-lambdacdottextrm{Identity}$ where $M$ is an operator on $V_1opluscdotsoplus V_n$ made from$$V_1xrightarrow{M_1}V_2xrightarrow{M_2}cdotsxrightarrow{M_{n-1}}V_nxrightarrow{M_n}V_1.$$With, say, $n=3$, $dim V_k=k+1$, I am tryingsa = With[{dim =...
Asked on 03/12/2021
2 answerSuppose that I have matrix matT1 at time t and matT2 at time t+1:matT1 = { {0.98, 0.95, 1.00, 0.85, 1.40},...
Asked on 03/12/2021
2 answerConsider the function f[a_] := NIntegrate[Sqrt[a + Log[x]], {x, 1, 10}, WorkingPrecision -> 30]. With this definition, I cannot call f[0.1] (for example) without Mathematica throwing an error, since "0.1"...
Asked on 03/12/2021
4 answerI have a list of download jobs (e.g. {{url, filename} ...}) to do:jobs = Table[{"https://picsum.photos/200/300/?random", ...
Asked on 03/12/2021
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