Tagged Questions

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 StackExchange site.)

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Comparing $f(x)$ and the $f\_approx(x)$ in Matlab, Octave or Mathematica/Wolfram

I have a function $f(x)$ and I wrote the approximation for $f(x)$ as $f\_approx(x)$ which is a simple algebraic formula with sums and products . I now want to study the 2 functions side by side and ...
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Simulating systems of SDEs in Mathematica and plotting solutions.

I would like to simulate the solution of the following system of SDE's: \begin{equation*}\begin{split} dX(t) &= - \frac{1}{2}X(t)\, dt - Y(t)\, dW(t)\\ dY(t) &...
620 views

Computation of the minimal polynomial of a matrix in Mathematica

On the wolfram website, the following program is given for computing the minimal polynomial of a square matrix $a$ in the variable $x$: MatrixMinimalPolynomial[a_List?MatrixQ,x_]:=Module[ { ...
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How many seats in the parliament? [closed]

In a particular country, there are two political parties, the red party and the blue party. Prior to last week's general election, the red party had 2 1/2 times as many representatives in the ...
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Approximate equation for tapered cycloid offset curve without cusps

Is it possible to create parametric equations to approximate a tapered cycloid offset curve without cusps, that does not require manual adjustment of values when the primary curve parameters are ...
549 views

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Plotting a function around $0$ shows it is jumping around, although the limit as $x\to 0$ exists

My problem revolves around the function: $$f(x) = \frac{\sin(\tan x) - \tan(\sin x)} {\arcsin(\arctan x) - \arctan(\arcsin x)}$$ The $\lim_{x\to 0}f(x)= 1$. However, whilst approaching 0, there is ...
71 views

Visualising a 1-(50,15,15) design.

The problem I have is the visualisation of a 1-(50,15,15) design. That is a set of 50 points and 50 blocks (lines), so that each point is on 15 lines, and each line contains 15 points. My attempts ...
547 views

How to use Mathematica to solve equations in a polynomial ring?

I am sorry. But I wonder whether it is fine to ask this question here. I need some help to solve some equations in a polynomial ring: Give the ring $\mathbb{F}_p [x ]/(x^2+x+1)$, where $p$ is a ...
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How to find elements of a commutative ring with unity $\mathbb{Z}_n$, (under addition and multiplication modulo $n$) by using Mathimatica, which satisfying the following condition. Let $x, y \in R = \... 1answer 62 views Bug or feature? If statement inside double integrals [closed] Generally speaking, $$\int_c^a f(x) dx = \int_c^{a-b} f(x) dx + \int_{a-b}^a f(x) dx$$ However, consider the following Mathematica code: So apparently, the sum of the two sub-integrals$1/32 + 0 =...
If focal distance of a point on the parabola $y = x^2 - 4$ is $25/4$ . And the points are of form $(\pm \sqrt{a}, b$ then how can we find $a , b$ or sum of these . I think the focus of parabola would ...