All Questions
54 questions
0
votes
3
answers
69
views
Getting symbolic sum from a[k]
My Goal is to get summation from definition a[k] as below. I tried simple arithmetic progression 1,2,3,4,5.. . Although the function Sum returns symbolic result nicely, but my code doesn't. How to fix ...
- 948
0
votes
0
answers
58
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Return[] in Recursive Functions [duplicate]
Here is the pseudocode I am using to demonstrate the problem.
...
- 1
1
vote
1
answer
59
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Strange errors of exceeding RecursionLimit in a function with two arguments, one set delayed and one fixed
INTRODUCTION
Hi. I feel a bit embarrased asking this question as the answer may be staring me in the face and there are at least two other stackexchange articles related to it.
MINIMAL WORKING EXAMPLE
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4
votes
1
answer
109
views
RSolve for system of equations and matrix power [closed]
I have a matrix
a = {{3, -2}, {2, -2}};
We can easily find the n-th power, $A^n$ using
MatrixPower[a,n]
We can also find the ...
- 3,556
3
votes
1
answer
174
views
How is this type of piecewise function represented and calculated? [closed]
How is this type of piecewise function as follows in the picture represented and calculated?
Use:
...
- 1
1
vote
2
answers
142
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Simulating the card game War with $m$ suits and $n$ values
I am trying to simulate the card game War to find approximations to the stopping time distribution for different types of decks, and study conditional probabilities of winning given a certain deck. (...
- 95
3
votes
2
answers
182
views
Recursive function with subscript
I am trying to define a recursive function with a subscript. Something similar would be $f_{n+1}(x) = \int 3 x f_{n}(x)dx$. I've tried lists, For function, ...
4
votes
2
answers
479
views
Recursive function in Mathematica
I need to implement the following recursive function in Mathematica.
$$F[-2*a,b,2b;2]=\left(\frac{a-1/2}{a-1/2+b}\right)F\left[-2*(a-1),b,2b;2\right]$$
The conditions of the functions are:
if $a=0$, ...
- 1,275
0
votes
0
answers
89
views
How to do this recursion relation in Mathematica effectively?
I have a function $h_{\Delta,l}(r,\eta)$ satisfying
\begin{equation}
h_{\Delta,l}(r,\eta)=\tilde{h}_{l}(r,\eta)+\sum_{k}\frac{c(k)}{\Delta-(1-l-k)}r^{k}h_{1-l+k,l+k}(r,\eta)
\end{equation}
where $k$ ...
- 101
0
votes
1
answer
51
views
Recursive error encountered when updating rules of assignment [closed]
I'm working on a problem which requires associating a single (complex) number with a pair of binary vectors. I'm doing this by creating a set of assignments through a function I call ...
- 667
0
votes
0
answers
104
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Function for probability distribution approximation of a compound random variable
In the book (Klugman et al, 2019) on can see the
Example 9.12. The number of claims has a Poisson–ETNB distribution with
Poisson parameter 𝜆 = 2 and ETNB parameters 𝛽 = 3 and 𝑟 = 0.2. The
claim ...
- 111
3
votes
1
answer
120
views
How do we implement this two-valued recursive function using FunctionCompile?
I have the following recursive function that involves DivisorSigma:
...
- 325
2
votes
2
answers
259
views
Defining a function recursively
I want to construct polynomials (or just function) $f_n$ from $f_{n-1}$ using mathematica. For some kind of reason, I didn't manage to do this. So basically something like a recurrence table, but for ...
- 123
0
votes
0
answers
53
views
Silly trouble expressing recursive formulas?
I am trying to code the following formulas:
I did it in the following way:
...
- 5,603
0
votes
1
answer
78
views
Basics for recursive functions [duplicate]
I am new to Mathematica and try to define a simple recursive formula which is illustrated as below:
...
- 19