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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185 views

Solving one Systems Equations, Research Level Questions?!

We have three equations as follows: $A_p=F \cos(\alpha+ \phi) - \mu N^{'}_{S_1} - \mu N_{S_1} - W \sin \theta = m ( \ddot x - r \ddot \theta (\sin (\gamma+ \phi)) )$ $B_p=F \cos(\alpha+ \phi) - \mu ...
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1answer
437 views

plotting cones and space curves using Maple

A curve $\cal{C}$ is given by the parametric equation $$ {\bf r}(t) = (e^t\cos t, e^t\sin t, e^t-1)\;,\quad 0\leq t\leq 2\pi\;. $$ Using Maple, I would like to sketch the curve $\cal{C}$ and the cone $...
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116 views

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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1answer
22 views

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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0answers
54 views

Finding the roots of a nonlinear equation

Hello I am trying to find the real root of this equation \begin{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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1answer
185 views

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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1answer
49 views

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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3answers
146 views

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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33 views

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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1answer
48 views

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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58 views

SIR-Model in Maple

This is my assignment I've been stuck on for a good part of the day. I'm confused because example's I've looked at would do part 3 before part 1 because they use substitution of $$u=S/N$$ $$v=I/N $$ $...
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0answers
36 views

Maple: Symmetries of strange modified heat-equation

I thought about the following PDE (the $u(x=0,t)$ is not a boundary condition! It really is a part of the PDE): $$\dfrac{\partial u(x,t)}{\partial t}=\alpha \dfrac{\partial^2 u(x,t)}{\partial x^2}+u(...
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0answers
60 views

Are algorithms for elimination of quantifiers over the reals practical?

I wanted to find the semialgebraic set in the $(a_0,a_1,a_2,a_3)$ space that guarantees that there exists at least one real root of the general polynomial equation of degree 4. For that purpose, ...
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0answers
22 views

Solving the KGE equation with a potential by changinging into ode? Kink and Antikink, graph just looks wrong..

I'm trying to find solutions to a klien gordon equation with a chosen potential. Particularly kink and antikink solutions. I'm doing this on Maple so will not give the actual results as these tend to ...
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0answers
53 views

Why does Maple include x in the solution of this definite integral?

I have the following function defined in Maple: $$ f(x) := (2 - a + ax^2) \sqrt{1 + 4a^2x^2} $$ And I want to calculate the definite integral of this from -1 to 1: $$ \int_{-1}^{1}{f(x)dx} $$ I do ...
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1answer
14 views

Using matrix operations to wrap arrays

I'm coding with Maple and I need an efficient way to wrap arrays of numbers to different dimensions. For example, let $A$ be the 3x5 matrix listing the numbers 1-15 in order, and $B$ be the 5x3 ...
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1answer
696 views

diffusion equation plot (matlab or maple)

The advection diffusion equation is the partial differential equation $$\frac{\partial C}{\partial t} = D\frac{\partial^2 C}{\partial x^2} - v \frac{\partial C}{\partial x}$$ with the boundary ...
2
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2answers
193 views

Maple help needed

Consider the multivariable polynomial $$g(x,y,z,w)=a_1xyw+a_2xy^2+a_3xyz+a_4x^3z+a_5z^3+a_6y^2z+a_7w^4\;,$$ where $a_1,\cdots, a_7$ are constants. I would like to use Maple to extract the coefficients ...
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3answers
129 views

Does MAPLE not simplify correctly or am I goofing?

While attempting to answer this question with help of MAPLE, something very strange happened, at least according to me. We have the following function: $$ \phi(x,y) = x^2-y^2+\frac{x^2-y^2}{(x^2+y^2)^...
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1answer
255 views

Using Maple for continued fraction expansions

I can find the continued fraction expansion of a value using Maple. Is there a simple way for finding the sequence of convergents (approximants) of the continued fraction expansion in Maple? Currently ...
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0answers
42 views

Simplify an equation with Maple

I am haunted by an equation which I could simplify it with hand and it equals to $-i$ (complexe number). But, I don't know how to use maplesoft to simplify it. The equation takes the form of: ...
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1answer
42 views

Integration in Maple 16

I need to solve this integral in Maple 16, I've tried various functions such as evalf, solve, ...
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1answer
798 views

Plotting Streamlines Maple

I wonder if anybody could help with this. I've been asked to plot the streamlines of the complex potential $\Omega(z)=Uz + \frac{m}{2\pi}ln(z)$ to which I get the stream function $\psi(r,\theta)=rUsin\...
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1answer
36 views

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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2answers
46 views

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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3answers
48 views

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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1answer
92 views

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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1answer
35 views

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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0answers
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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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1answer
37 views

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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1answer
17 views

Impose $f$ is function of $x$ in MAPLE

I am a bit new in MAPLE and I was trying to write a function of $x$. I define a function: $W:=W_{d_{{\it ij}}}\,W_{f_{{\it ij}}}$ I would just like to write in MAPLE $diff(W,x)$ and get: $ \left(...
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1answer
19 views

Selecting specific return value from polar

If I do this conversion to polar form input: num = polar(3+I*3) returns: num = polar(3sqrt(2),1/4*pi) How can I select the 1/4*pi part of the return value? I believe it should be possible to ...
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0answers
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Multivariate transformation of random variables on Maple 17

I'm trying to workout a multivariate transformation of multiple random variables on Maple 17. I know how to work out for a single variable but couldn't get it to work for two variables. I'm trying to ...
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0answers
65 views

Find the maximum distance from origin to the surface?

I am having trouble with this problem... I need to find the maximum distance from the origin to the surface $$f:=\frac{x^4}{2^4}+\frac{y^4}{3^4}+\frac{z^4}{(\sqrt2)^4}-1$$ I think I have to use ...
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1answer
20 views

Maple: How to use partial differential operators?

I am trying to calculate the commutator $[v,w]=vw-wv$ for given infinitesimals $$v=\dfrac{\partial}{\partial x}$$ and $$w=x\dfrac{\partial}{\partial t}$$ I know how to calculate the commutator by ...
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2answers
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Maple complex exponential form to algebraic.

How can I easily convert complex number from exponential or trigonometric form to algebraic? Update In fact I'm trying to simplify this expression: The only way I see is to convert to ...
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2answers
83 views

How to return the monomials in a polynomial in Maple?

Are there some function $f$ which returns the monomials in a Laurent polynomial? For example, $f(a_1^{-1}+3b_{2,1})=[a_1^{-1}, 3b_{2,1}]$. Thank you very much.
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3answers
36 views

Maple - PDE substitution

Lets say I have the heat equation: $$u_t-u_{xx}=0.$$ I want to apply the following substitution to the heat equation in Maple. $$\zeta=t/x^2$$ $$u(x,t)=x^cF(t/x^2)=x^cF(\zeta)$$ How can i ...
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1answer
28 views

Calculate the Area of Toroidal

i need help with the integral of this function. $ f(x,y)=\left( x-b \right) ^{2}+{y}^{2}={a}^{2}$ Note: $0 < a < b$ I know the graphics of this function is this http://www.maplesoft.com/...
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1answer
41 views

Some frames are missing part of a surface in Maple $\texttt{implicitplot3d}$ animation

I want to create an animation of a surface when some parameter is changing, using for loop in maple to create a sequence of frames and they display them as sequence of plots. I was able to obtain an ...
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1answer
33 views

How to plot a Weierstrass function in Maple?

I'm attempting to get a good approximation of a Weierstrass function using Maple, but I have very little background in the matter. So far, I can get an approximation of $\sum_{n=0}^{643}\frac{1}{2^n}...
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1answer
22 views

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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38 views

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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1answer
2k views

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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1answer
36 views

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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2answers
27 views

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: ...
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1answer
21 views

How can I get a list of large numbers in decimal form in maple?

due to this command "For i from X to XX do x*y end do ", I need to make a list of numbers. Since "x" and "y" are so large maple gives me the list of numbers in scientific format. But I need to get ...
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1answer
19 views

How to plot two functions together in Maple

I'm given two functions (a surface and a tangent plane), and I am required to plot them together in the same graph in Maple. The surface is $$x^2y^2+y^2z^2+z^2x^2=15$$ and the tangent plane is $$z=\...
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1answer
12 views

Plotting surface within a box in Maple

I'm given a surface $$S=x^2y^2+x^2z^2+y^2z^2=9$$ and I am being asked to plot the part of this surface which lies within a box with the dimensions $$[-10,10] \times [-10,10] \times [-10,10]$$ I ...