# Tagged Questions

For questions involving the application of the program Maple to mathematics. NOTE: questions which focus primarily on the program Maple and not on its applications to mathematics are not appropriate for this site.

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### Program to deal with Grobner basis for ideals in universal enveloping algebras.

Is there any way to deal with calculations in ideals of the universal enveloping algebra of the current algebra $\mathfrak{sl}_2\otimes \mathbb C[t]$? Particularly, I am interested in Grobner basis ...
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### What is the algorithm to calcuate max and min in Maple piecewise function [closed]

Maple code: convert(max((2-x)/3, x+1), piecewise); convert(min((x+1)/3, 1-x), piecewise); I feel that above command is very powerful and complicated, and would ...
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### abtract taylor series Maple

I would like to solve the folowing equation at some finite order: $$\langle f_x,f_y\rangle=0, \vert f_x\vert^2=\vert f_y\vert^2$$ where $f: \mathbb{R}^2 \rightarrow\mathbb{R}^3$. In order to do so, I ...
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### Finding the roots of a nonlinear equation

Hello I am trying to find the real root of this equation \mathrm{x}-\mathrm{y}-\frac{\mathrm{j}\,{\left(4\,{\left(\mathrm{t}+\frac{\mathrm{a}}{\mathrm{j}}\right)}^2+\frac{4\,\mathrm{v}...
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### How to break permutation group in normal subgroup and the quotient group?

could you give steps to show this decomposition or show in maple code http://en.wikipedia.org/wiki/Simple_group
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### A question about the absolute value in integrals

I do really understand why we put the absolute value when integrating functions leading to $\log$ function for example: $$\int{\dfrac{\mathrm dx}x}=\log\lvert x\rvert + C$$ , it is very common in ...
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### how can I create a random matrix with specific entries

I would like to create/generate a random square $n \times n$ matrix with the following specifications: the first and the last row of the matrix are nonzeros likewise nonzero at the main diagonal ...
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### how to calculate the implicit Cartesian equation from calabi yau threefold?

i find mathematica version about parametric form, how to calculate the implicit Cartesian equation from calabi yau threefold? ...
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### Compute Christoffel symbols & Riemann tesors in Maple 17

I invented a metric tensor g and now I'm trying to compute my first Christoffel symbol but an error message is popping up "Error, bad index into matrix" Is there a way for maple to compute Christoffel ...
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### Question about Maple.

Let $s[1]:=\sum_{i=0}^{k} q^i$. In Maple, we use $sum(s[1], i..k)$ to compute $s$. There are two cases, namely $q=1$ or $q\neq 1$. I have to compute many such sums (s[1], s[2], ...) and have ...
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### How to load Maple package ??

I have downloaded second version of DGApplications to work with abstract Lie algebra. The file is actually .mla file and it is executale(as when we open it, a prompt ask, "do you want to execute this ...
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### How to find the integral that generates X number in Maple 17?

By a challenge of my calculus' professor, we have to find a integral that generates a 8 digit number, such as 12345678. Since there is a infinite number of integrals that could result in a 8 digit ...
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### Conversion of Hypergeometric functions from Maple to Mathematica

After a calculation I found in Maple an expression of the kind: $$f(x)=hypergeom\left(\left[\dfrac{a}{b},1\right],\left[c,d\right],h\right)$$ What is the equivalent notation in Mathematica which I ...
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### Maple: How to rewrite $\sqrt{1-r^2\exp(2i\theta)}$ in Cartesian form

How can I rewrite $\sqrt{1-r^2\exp(2i\theta)}$ into Cartesian form using Maple. I could do it by hand but I need this type of simplification later for far more complicated expressions. I allready ...
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### Maple, symbolic integration of state equations

One example in my textbook uses Maple to calculate some analytical expressions. I have been trying to obtain the same result with Maple but have not been able to so far. The example is regarding the ...
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### Falsi regula using maple

Hi I'm using falsi regula algorithm in maple. For first function it worked fine : restart; epsilon := 1e-3: f := x->x^3+x^2-3: a:= 1: b:=2: step:=infinity: while abs(step) >= ...
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### Evaluating large expression with differential equations constraints

Consider the following lagrangian for a system, with $\theta$ and $r$ being the system coordinates: $L = 2m\dot{r}^2+\frac{1}{2}mr^2\dot\theta^2-gmr(3-\cos\theta)$ Which gives us the following ...
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### Maple to solve differential equations

Suppose that a hole is now drilled directly from the surface of the Earth at the North Pole, all the way through the centre to the surface at the South Pole. A particle of mass m is dropped into this ...
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### A series solution of the differential equation: $\frac{d^2u(x)}{dx^2}+ u(x)^n = 0.$

Consider the differential equation $\frac{d^2u(x)}{dx^2}+ u(x)^n = 0.$ Let the solution be $u(x) = u_0(x) + p u_1(x) + p^2u_2(x) + \cdots +p^m u_m(x).$ Now we are interested in substituting the ...
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### Formal expansion of matrices using Maple or Mathematica

I'd like to evaluate some powers of sum of matrices, say I would like to evaluate $\left(A+B\right)^{n}$ with $A$ and $B$ some matrices. Since I'd like to go to high order, I'd like to use Maple or ...
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### How to test qualities about a number's prime factorization in maple?

I'm trying to write a code to test the following properties of a composite number $n$. To be more specific, for a given $n$ from (say) 200-300, I want to check if $n$ satisfies any of the following: ...