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1
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1answer
150 views

Convolution of a denstity function having a point mass with itself

My density function is as follows: ...
1
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2answers
236 views

How to use Mathematica in my Problem as I would use it in Matlab

I would like to calculate the convolution of a function with itself for $n$ times. Let $n$ be $10$. For $n=1$, I wont make any calculation and $f0$ is my function, when $n=2$, I will convolve $f0$ ...
4
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3answers
435 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 ...
1
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3answers
620 views

How many iterations of Newton's method are needed to achieve a given precision?

Consider using Newton's method to solve the equation $arctan(x) = 0$. Using an initial guess of $x_0 = 1/2$ produces a sequence that converges rapidly. After $8$, iterations, $x_8$ is accurate to well ...
2
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3answers
205 views

How to code the following product?

I am trying to examine the properties of the following product for a given tuple $\vec \lambda = (\lambda_1, \lambda_2, \dots, \lambda_n)$, then the product is as follows: $$ \dim \Gamma_\lambda = ...
0
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0answers
46 views

List elements and iterator name collision [duplicate]

Let there be two lists, exp = {{i, i}, {j, j}}; exp2 = {{r, r}, {o, o}}; and there are two Table commands to access them. Then, ...
0
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2answers
226 views
0
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0answers
40 views

Nested For Loops that result in no output [duplicate]

I am sure that this is not the most elegant code you will have seen, but I am trying to loop through an expression to see if FultonHarrisn] produces any outputs ...
4
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2answers
214 views

How can I write a Do loop that iterates over N iterators when N is not known a-priori?

For any positive integer $n$ which is not specified a priori, I can make $n$-tuple vector $v$ by v = Array[a, 1, n]. Now, given that $n$ is a positive integer which ...
2
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1answer
487 views

Passing an iterator [duplicate]

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