Questions on using and specifying iterators used in Mathematica functions.

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4
votes
3answers
600 views

Plotting the convolution of the same probability density function with itself

I would like to compute the integral $$q_n(x)=\int_{B}^A q_{n-1} (\omega)f(x-\omega)\mathrm{d} \omega,\quad q_1=f,\quad n\geq 1.$$ for a given density function $f$. Basically it is the convolution ...
3
votes
1answer
791 views

Passing an iterator [duplicate]

The code Table[i, {i, 5}] produces the output {1, 2, 3, 4, 5} whereas the code ...
1
vote
1answer
261 views

Basins of attraction of equilibrium points

The Henon-Heiles potential is the following V = 1/2*(x^2 + y^2) - y*(1/3*y^2 - x^2); which has four equilibrium points ...
4
votes
2answers
138 views

ReplaceRepeated as a Looping construct?

There are a lot of discussions about looping constructs (notable example here). Wolfram language guides, as usually, contain most relevant links. Looping constructs guide has the following part on ...
1
vote
3answers
110 views

Use Do to evaluate an expression over two indices $i \ne j$ (over a list of tuples)?

I have an expression of the form: expr1[i_,j_] = Sum[\[Beta][j]*\[Phi][i, j]* C[i] I would like to evaluate this expression over i=1:4, j=1:4 with i!= j. One ...