Mathematica Questions, Problems & Solutions : TransWikia.com ~ Page 211

How to simplify quotient and mod in integer domain

I want to simplify (a*32 + a%32)/32, and a is integer. So I write:Simplify[Quotient[a*32 + Mod[a, 32], 32], Element[a, PositiveIntegers]]However it gives me:Quotient[32 a + Mod[a, 32], 32]and...

Asked on 12/18/2020 by worldterminator

1 answer

How can I have an accurate plot to make sure that this plot is continuous or not?

I have this 3-variable functionf := 16 ((-1 + (9 x^2)/4) Cos[z] Cosh[(π x)/3] + 3 x Sin[z] Sinh[(π x)/3]) Sinh[π x] +...

Asked on 12/18/2020

1 answer

How do I visualize $exp(z)$ as a complex mapping?

How do I visualize $exp(z)$ as a complex mapping? How can I ensure that it does not miss any value on the complex plane as it's value (is in...

Asked on 12/18/2020 by SJA

1 answer

Plot of Implicit Equations

I've read Cool Graphs of Implicit Equations recently. In the article, it mentioned a software GrafEq which can draw graphs of arbitrary implicit equations....

Asked on 12/18/2020 by diverger

4 answer

Mathematica 12.1 crashes when I attempt to save an image as PDF or EPS (but not other formats)

Has anyone else experienced a bug in Mathematica v.12.1 whereby saving an image as PDF or EPS causes the software to crash? If so, has someone found a cause/solution?...

Asked on 12/18/2020 by user120911

1 answer

Solving an integral equation for upper boundary

I am reading a paper on High Harmonics Generation (HHG) and a Lewenstein model The paper is here. I would like to reproduce some results but I am...

Asked on 12/18/2020 by leosenko

2 answer

How can I control the length of the line segments used in rendering a BSplineCurve?

Mathematica seems to render rational Bézier curves (drawn with BSplineCurve) using polylines whose segments can be annoyingly long, while polynomial Bézier curves (drawn with BezierCurve) behave better. Consider, for...

Asked on 12/18/2020 by Lyle Ramshaw

1 answer

Consistent pixel assignments in ClusteringComponents?

I have a large dataset of SEM micrographs I am trying to binarily segment via ClusteringComponents, and it has seemed to be the most accurate method compared to the other...

Asked on 12/18/2020 by Christopher Moore

1 answer

How do you drop items in a list that's created through a loop?

I have the following lines of code:randomnumbers = {10};For[w = 1, w <= 10, w++, randomnumbers = Append[randomnumbers, RandomInteger[10]]; addition = Last[randomnumbers] + Last[Drop[randomnumbers, -1]]; Print[randomnumbers]; Print[addition]...

Asked on 12/18/2020

3 answer

Errors in Lyapunov exponent code

Thanks to the answer by @Chris K I think I have re-expressed the question properly. I have the following equations of motioneqnx = (1/4)*(-((α1*α2*μ*Sin[2*z[τ]]^2)/(α*β*(α*Cos[z[τ]]^2 + β*Sin[z[τ]]^2 - x[τ])^2)) -...

Asked on 12/17/2020 by DiSp0sablE_H3r0

1 answer

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