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7
votes
3answers
261 views

Morphological Components with periodic boundary conditions

I would like to find the connected(with periodic boundary conditions) components in a large binary matrix. What I've tried, and it does a fair job is: ...
7
votes
2answers
2k views

How to create a rectangle wave (duty cycle $\ne$ 50 %)?

I'm trying to use phase-shifted SquareWave[] functions to create a rectangle wave: ...
5
votes
1answer
98 views

Why do certain fractional values in TriangleWave not evaluate?

While answering another question I discovered that TriangleWave does not automatically evaluate when given certain fractional values, specifically fractions with a ...
4
votes
3answers
160 views

Periodically tiling a function

I have a function which creates a hole of varying radius, depth and would like to tile it in x and y. ...
4
votes
1answer
166 views

What's wrong in FunctionPeriod?

FunctionPeriod[Sin[16 Pi x/5 - Pi/8], x, Integers] 80 then I ListPlot the function: ...
4
votes
2answers
225 views

Integrating a periodic function

I have a periodic function ff: ff := Function[x, Piecewise[{{ff[x - 1], x >= 1}, {2 x, 0 <= x < 1}, {ff[x + 1], x < 0}}]] Plotting it works fine: ...
3
votes
0answers
72 views

Symbolic integration of elliptic functions

Is there some clever way to integrate products of elliptic functions $\wp(z;g_2,g_3)$ or $\zeta(z;g_2,g_3)$ in Mathematica? Mathematica seems to be able to integrate functions like ...
1
vote
1answer
187 views

Locating Periodic Orbits

Here is the code for the numerical integration of an orbit. First the module for the definition of the equations of motion. ...
0
votes
1answer
1k views

How to plot the convolution of dirac delta series with a sine function [closed]

I am new to mathematica. I do the convolution of dirac delta :(DiracDelta(x-10)" with "sine(t),t=0-pi". How to plot the output ? Theoretically, the full wave should appear at the location of the ...
0
votes
0answers
12 views

Create periodic function from combining non-periodic functions [migrated]

I'm studying recurrent neural networks which often use tanh as an activator function which is not periodic. However in research and papers it's shown that these recurrent neural nets can exhibit ...
0
votes
0answers
64 views

Locating Periodic Orbits - Part II

In a previous post Part I I asked how could I locate the x0 position of a periodic orbit. I got only one possible solution but it does not work as I want. Let me be ...