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Mathematica : Recent Questions and Answers (Page 15)

Find answers to your questions about Mathematica or help others by answering their Mathematica questions.

Is there a function to convert a trigonmetric expression to an algebraic expression suitable for ComplexPlot?

According to H. A Priesley: "both $cosθ$ and $sinθ$ can be written as simple algebraic functions of$z$": $cosθ =frac{1}{2} (z + frac{1}{z}) tag1$$sinθ...

Asked on 10/05/2021 by onepound

0 answer

How to fill in interior in a mesh region

Say I have a mesh region which encloses a region. How do I get a mesh region where this region is filled? Take for example the meshregion below:reg=MeshRegion[List[List[1.`,0.`],List[2.`,0.`],List[3.`,0.`],List[4.`,0.`],List[5.`,0.`],List[4.5`,2.5`],List[0.5`,2.5`],List[2.5`,0.5`],List[2.5`,4.5`],List[5.`,1.`],List[5.`,2.`],List[5.`,3.`],List[5.`,4.`],List[5.`,5.`],List[4.`,5.`],List[3.`,5.`],List[2.`,5.`],List[1.`,5.`],List[0.`,5.`],List[0.`,4.`],List[0.`,3.`],List[0.`,2.`],List[0.`,1.`],List[0.`,0.`],List[5.`,6.`],List[5.`,7.`],List[5.`,8.`],List[4.9`,7.`],List[4.`,8.`],List[0.5`,5.`]],List[Polygon[List[List[23,24,1],List[7,22,23],List[1,2,8],List[3,8,2],List[1,8,23],List[7,23,8],List[21,7,20],List[7,21,22],List[30,19,20],List[20,7,9],List[20,18,30],List[18,20,9],List[17,18,9],List[9,16,17],List[8,3,4],List[6,4,10],List[10,4,5],List[15,9,6],List[10,11,6],List[12,13,6],List[11,12,6],List[6,13,15],List[16,9,15],List[29,28,27],List[15,25,28],List[14,25,15],List[26,27,28],List[25,26,28],List[15,13,14],List[6,8,4]]]]]Note that...

Asked on 10/05/2021

2 answer

The time-like geodesics (orbits) in the Schwarzschild spacetime

I am trying to plot Schwarzschild's orbit without invoking the geodesic equation.As a reference I am using Chandrasekhar's Book (The Mathematical theory of Black Holes, Oxford University Press). In...

Asked on 10/05/2021 by ricci1729

2 answer

How to find the number of cells that one point can be in?

I draw the attached plot drawn with the following code. Each color represents a cell. How can I find the average number of cells that one user (any point within...

Asked on 10/04/2021 by dipak narayanan

1 answer

Problem of application of HashTable in Fibonacci

As we can see the example in ref/datastructure/HashTable This code show the usage of HashTable,Fib is the implement of...

Asked on 10/04/2021

0 answer

Why is Mathematica taking so long to solve this equation?

I was trying to solve a polarization problem where I needed to solve this transcendental equation.NSolve[(Cos[[Pi]/n])^(2 n) == 0.90, n]I don't know why but Mathematica is taking a very...

Asked on 10/04/2021 by SaptarshiS

2 answer

Solving indexed ODE in Mathematica

I would like to solve an ODE with indexed variables symbolically. Is there a way to do that?$$frac{dp_{betaalpha}}{dt}=mleft(p_{1alpha}p_{beta2}+p_{2alpha}p_{beta1}right)$$m is called mass and is constant. t is time....

Asked on 10/04/2021

1 answer

Plot of The RiemannSiegelZ Function

I would appreciate your help to visualize the of the following function RiemannSiegelZ[x] with this range.{ 18154980120849865 , 18154980120849885 }I tried this:Plot[RiemannSiegelZ[x], {x, 18154980120849865,18154980120849865 + 20},PerformanceGoal -> "Speed"]...

Asked on 10/03/2021

2 answer

How to make a progress indicator work in ParallelTable mode in Mathematica?

I developed a code to display a progress bar, percentage and time dynamically when I am running a plot that calculates things (using user defined function called computethings). It...

Asked on 10/03/2021

1 answer

Mathematica fails to load welcome screen: "Authentication Required"

ProblemWhen I open Mathematica 12.1.0 on windows 10, I get an "Authentication Required" window during the splash screen. The auth window has no input or buttons, and the text in...

Asked on 10/03/2021 by Kevin W

0 answer

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