Questions tagged [mathematica]
For questions concerning the popular computational software program published by Wolfram Research. (Note: you are more likely to get quicker and more accurate response if you ask the question on their user forum or on the Mathematica Stack Exchange site.)
722
questions
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Closed form expression for $\psi_{e^{\pi}}^{(3)}(1-i)$
Let $\psi_q(z)$ be the q-DiGamma function defined for a real variable $\Re(z)>0$ as $$\psi_q(z)=\frac{1}{\Gamma_q(z)}\frac{\partial}{\partial z} (\Gamma_q(z))$$
where $\Gamma_q(z)$ is the q-Gamma ...
- 910
0
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1
answer
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Closed form expression for $\psi_{e^{\pi}}^{(3)}(1)$
Let $\psi_q(x)$ be the q-DiGamma function defined for a real variable $x>0$ as $$\psi_q(x)=\frac{1}{\Gamma_q(x)}\frac{\partial}{\partial x} (\Gamma_q(x))$$
where $\Gamma_q(x)$ is the q-Gamma ...
- 910
0
votes
1
answer
169
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Is there a less time-consuming way to solve a Symmetric Matrix Equation
I'm currently working on solving an equation that involves a symmetric matrix C with 4 unknown variables, and a vector A of the same dimension. The equation I'm trying to solve is:
...
2
votes
0
answers
206
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Wolfram Mathematica: why is the plot not visible?
simple question regarding Wolfram Mathematica:
Why is the plot not showing?
(See screenshot)
(I am new to Wolfram Mathematica)
Thankful for any input.
- 67
1
vote
0
answers
87
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Integral of Dirac Delta Derivative Times Non-Smooth Function
I know that if we have some function f(y) that is smooth and has compact support, we get the following by using integration by parts.
$\int f(y) \delta '(y-x) dy = -\int f'(y) \delta (y-x) dy =-f'(x)$
...
- 157
2
votes
1
answer
241
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How to solve this biharmonic equation? (Viscous fluid flow)
I am investigating lid-driven cavity flow, demonstrated in the below diagram:
We have a square (two dimensional) domain, with fully Dirichlet conditions for the velocity and fully Neumann conditions ...
- 12.5k
0
votes
1
answer
67
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In a Hypergeometric Distribution CDF with everything else held constant, should K be a linear function of N?
Using the Hypergeometric Distributon notation from Wikipedia, if I treat $k$, $n$, and $\Pr(X\ >\ k)$ as constants and solve for $K$ as a function of $N$ in Mathematica, the relation appears to be ...
- 1,922
0
votes
0
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29
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How to determine a threshold using Mathematica
The above is a result I got using Mathematica for my research.
Assume that $l$ is fixed, and $\Theta\in[-0.005,0.005]$. I found that there is always a threshold $t_0\in(0.59,0.63)$ such that: The ...
- 382
1
vote
1
answer
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the integral similar to elliptic integral with upper limit is π instead of π/2
G'day, mate. I wonder...
Is it possible to obtain the value of this integral?
$$\int_0^\pi \sqrt{1+b^2\sin^2(x)}\,dx,\text{where b is positive real number.} $$
And I turned to Mathematica's aid, and ...
- 21
0
votes
1
answer
88
views
Difference between wolframalpha.com and tio.run/#mathematica
While solving the equation rx+(1-r)(1-x)=1/2 on wolframalpha.com returns x=1/2 as a solution, it returns error messages on tio.run/#mathematica:
...
- 111
0
votes
0
answers
134
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How can we prove that $x\Gamma(x)=1.$
how can we prove that, for $x$ real and positive, $lim_{x→0^+}$ $x\Gamma(x)=1.$
2
votes
1
answer
102
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Solving a recurrent quadratic rational function
I am trying to solve $f(n)=\frac{f(n-1)(1-(4f(n-1)-3)u)}{1-(1-2f(n-1))^2u}, n\in \mathrm{N}$, with $f(0)=1/2$ and for any parameter $u\in[0,1]$. Are there any pointers as to how I may approach finding ...
- 305
0
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0
answers
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How to proceed with this integral in Mathematica?
NIntegrate[
Cos[2 1 Pi (2 Sqrt[(n + 8854800957672623)^2 -
78407500000000000000000000000000] + 0) -
Pi]/(2 1 Pi)^2 (1000000/(10^40 Pi^8 (Sqrt[
2 (Sqrt[(n + 8854800957672623)^2 -
...
- 77
1
vote
2
answers
55
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Finding sets of integer multiples of $1/\log{(n)}$, close to each other
I need to find integers $N_k$ such that, for example,
$N_1 / \log{(2)} \approx N_2/ \log{(3)} \approx N_3/ \log{(5)} $ up to some specified precision. I posted this question on another forum and got a ...
- 91
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votes
0
answers
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What does the rectangular symbol means in mathematica??
I was solving a problem related to inequality and there I get this root but I didn't get what does this rectangular symbol means ?
The code for the mathematica is --
...
