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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3answers
90 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 ...
-4
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0answers
31 views

how to calculate group action $u(1) \times u(1)$ [on hold]

I find $u(1)$ is permutation group $(1,2,3,4)$ and understand $ m \times n = m^{-1} \times n^{-1} \times m \times n$ $m = (1,2,3,4)$ but after using mulperms(mulperms(mulperms(invperm(m),invperm(m)...
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0answers
27 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? ...
0
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1answer
46 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 ...
0
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0answers
57 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 $$u=S/N$$ $$v=I/N $$ $...
2
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0answers
29 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(...
5
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0answers
56 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, ...
0
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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 ...
1
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0answers
49 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 ...
0
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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 ...
0
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1answer
695 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
votes
2answers
191 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 ...
0
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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)^...
0
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1answer
253 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 ...
0
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0answers
40 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: ...
0
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1answer
40 views

Integration in Maple 16

I need to solve this integral in Maple 16, I've tried various functions such as evalf, solve, ...
1
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1answer
786 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
38 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 ...
1
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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 ...
0
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1answer
429 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 $...
1
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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 ...
-1
votes
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
17 views

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 ...
2
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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
16 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 ...
1
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0answers
14 views

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
62 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
19 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 ...
0
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2answers
20 views

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 ...
1
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2answers
79 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 ...
-1
votes
1answer
26 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/...
0
votes
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 ...
0
votes
1answer
32 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}...
0
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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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0answers
36 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 ...
3
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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 ...
0
votes
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 ...
0
votes
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 ...
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0answers
23 views

Solving for critical points and classification using Maple

I am trying to help a friend on an assignment using Maple. The question gives a function $$f(x,y,z)= x+\frac{y^2}{4(x-5)}+\frac{z^2}{y-3}+\frac{2}{z+5}$$ and asks to find and classify the critical ...
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0answers
32 views

Finding potential for vector field and compute line integral using Maple

I am given a question to be solved on Maple which gives me a vector field $$\vec{F}(x, y, z)=\left \langle \frac{y}{1+x^2y^2}, \frac{x}{1+x^2y^2}+\frac{z}{\sqrt(1-y^2z^2)}, \frac{y}{\sqrt(1-y^2z^2)}+\...
1
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1answer
29 views

Understanding how to use implicitdiff command in Maple 17

I am given a system $$\left\{\begin{matrix}xy^2+zu+v^2=3 \\ x^3z+2y-uv=2 \\ xu+yv-xyz=1 \end{matrix}\right.$$ which defines x, y, z as functions of (u,v) around (1, 1, 1, 1, 1). I've been asked to ...
1
vote
1answer
38 views

Trouble Plotting Mobius Strip in Maple 17

I'm quite new to Maple, so forgive me if this question seems a little trivial. I'm trying to plot a Mobius strip with the parametrization $$\left\{\begin{matrix} [1+tcos(s)]cos(2s)\\ [1+tcos(s)]sin(2s)...
2
votes
1answer
27 views

Trouble plotting Maple space curve given a parametrization

I am being asked to plot a curve C with parametrization $$ r(t)=\left \langle \sin(mt)\cos(nt), \sin(mt)\sin(nt), \cos(mt) \right \rangle $$ with parameters of $$0\leq t\leq 2\pi$$ with integers $m=5$,...
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votes
2answers
39 views

EllipticF problem with Maple

When I solve for EllipticF[1.4, 0.9] with Mathematica or ellipticF(1.4, 0.9) with Mupad I get ...