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Let $f(x)$ have a second derivative on the closed interval $[-2,2]$. If $left| f(x) right| le 1$ and $frac{1}{2} (f^{prime}(0))^2+f(0)^3>frac{3}{2} ...
Asked on 09/23/2020
0 answerI have list of x,y,z points (somewhat random) that leads to the image shown below: I am trying to map this...
Asked on 09/22/2020 by Colin Lyle Jordan
1 answerI have this functionf := 1024 (1 - (9 x^2)/4)^2 Cosh[(π x)/ 3]^2 Sinh[π x]^2 (8 (16 - 216 x^2 + ...
Asked on 09/22/2020 by user73730
2 answerThe problemPlease run this in the Cloud:StringJoin[ ExportString[{},"SVG"], "<br>", ExportString[Plot[Sin[x],{x,0,6}],"SVG"]]//EmbeddedHTMLNotice that x-axis 1 and 2 ticks were replaced with...
Asked on 09/22/2020
1 answerThe following result of indefinite integral contains hypergeometric series, but the reference answer is $-frac{1}{2}left(e^{-2 x} arctan e^{x}+e^{-x}+arctan e^{x}right)$.Integrate[ArcTan[E^x]/E^(2 x), x, GeneratedParameters -> C] // FullSimplifyD[Integrate[ArcTan[E^x]/E^(2...
Asked on 09/21/2020
1 answerTo simplify things, let's say that I have a list:aList = {{1,2,3,4},{2,2,6,6},{6,9,8,7},{6,6,6,3}}and I want to use Cases to get rid of the lists that have more than 2 6's....
Asked on 09/20/2020 by froyogirlio
0 answerI am trying to write a function f[a_,b_] which takes in two integers $a,b$ and returns the unique factorization of $a+be^{2pi i/3}$ into the primes belonging to ...
Asked on 09/20/2020 by Descartes Before the Horse
0 answerI have two integrals that I suspect can be expressed as elliptic integrals: $$int_0^{2pi} dphi' frac{1}{( 1 + alpha^2 + beta^2 - 2 beta cos(phi') )^{3/2}} $$$$int_0^{2pi} dphi' frac{cos(phi')}{(...
Asked on 09/20/2020
3 answerConsider two square matrices $A_1$ and $A_2$. Consider the following matrix involving matrix trigonometric functions: begin{equation}M_1(t)=begin{bmatrix} cos(tA_1) & tmathrm{sinc}(t A_1) -A_1sin(tA_1) & cos(tA_1) end{bmatrix} end{equation}and similarly $M_2(t)$...
Asked on 09/19/2020 by anderstood
2 answerI was replaying the next plot in Mathematica For that I used the next code linePlot[PDF[LogNormalDistribution[18.3, 8.8], x] //...
Asked on 09/17/2020 by LINA MARCELA RUIZ GALVIS
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