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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1answer
38 views

how to find matrix exponental of a fourth order matrix in Maple12

how to find matrix exponental of the fourth order matrix in Maple 12 given below $$ \left(\begin{array}{cccc} -2&3&1&0\\ 1&-4&1&1\\ 0&1&-3&2\\ ...
2
votes
0answers
318 views

$\int^{\infty}_{0}x^{r +s- 1}(1 + x)^{-s}(1 + x^2)^{-\frac{rm}{2}}dx$

I'm trying to solve the integral $\int^{\infty}_{0}x^{r +s- 1}(1 + x)^{-s}(1 + x^2)^{-\frac{rm}{2}}dx$, where $s$, $r$ and $m$>1 are positive integers. My question is whether a closed form ...
3
votes
1answer
353 views

How does Matlab or computer algebra systems find derivatives of functions?

Is it correct that they use a matrix transformation?
1
vote
1answer
101 views

how to convert a multivariate polynomial to a list in Maple

Motivation: I need to take higher derivatives with respect to many variables. The particular derivatives I take are based on a homogeneous multivariate polynomial. This polynomial is 12 pages in Maple ...
0
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1answer
87 views

Why does Maple gives limit as $-1/2-1/2I .. 1/2+1/2I$?

It inputted this(below) limit and it gives above output. $limit(\frac{-\frac{1}{4}(-1)^{N+1}-\frac{1}{2}(-1)^{N+1}(N+1)+\frac{1}{4}}{N+1}, N = \infty)$ Is it right answer, or does output $-1/2-1/2I ...
3
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0answers
86 views

Algorithm for generating random regular graphs in Maple

In Maples package RandomGraphs, there is a method called RandomRegularGraph(n,d) which takes a number of vertices $n$ and a degree $d$ and returns a random $d$-regular graph on $n$ vertices. Does ...
0
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1answer
92 views

Using functions in Maple

How do approach this problem? Write a function points which takes a list L of non negative integers and returns a list of pairs $[x, y]$ where $1 ≤ x ≤$ the length of $L$ and $1 ≤ y ≤ L[x]$.
0
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1answer
227 views

How to display values of a sequence in Maple 12

I want your help to arrange the values of a sequence or function in a tabular form automatically by giving the "seq" command in maple 12. e.g. $f(n)=n^2$ $$ \begin{array}{|l|l|} \hline n&f(n)\\ ...
0
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2answers
653 views

How to plot the the following function in Maple 12?

How to plot $\quad f(t) = \begin{cases} a, & \text{if $t=0$ } \\ e^{-b.t}, & \text{if $t>0$} \\ 0, & \text{if $t<0$} \end{cases} $ using maple 12 ?
1
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4answers
98 views

Complex functions

I need help solving this problem: For $z$ a complex number, let $g(z) = \frac{1 + 2z }{1 + z}$. Find a function $h_1(z)$ such that $h_1(g(z)) = z$ and another (possibly the same) $h_2(z)$ such that ...
1
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1answer
1k views

Maple find the stationary points

For the long equation: $$f = \frac{384x^8-2,304x^7-2,624x^6+41,568x^5-63,693x^4-118,309x^3+418,032x^2-405,405x}{3,072x^2+9,216}$$ I have to find the stationary points in maple between the interval ...
0
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2answers
843 views

Using Maple to numerically find the unique extremum (“turning point”) of a given function

Given $$ f(x) = 5\sin\left(\frac14 x^4\right) -\sin\left(\frac12 x\right)^4 $$ Find, to 10 significant figures, the unique turning point of x[0] in the interval [1,2]. Also, I've got to get ...
1
vote
0answers
245 views

maple code for exp-func. for solving PDE's & non-linear ODE's?

How can I create the Maple code using exponential-function solving the equation below? $u_t = \gamma u_x+6u(u_x)^2+(3u^2-1)u_{xx}-u_{xxxx}$ $u_t =u_{xx}-u^3+u,$ $\alpha u''(x) = \beta ...
1
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1answer
552 views

Computing convolution density function with Maple

I would like to know how to compute a probability function of a convolution of Negative Binomial distribution with Maple. Here is an easy example of what I want to do : ' ...
2
votes
1answer
211 views

Numerical solution of fractional integro-diffrential equ. using collocation method?

problem comes from "Numerical solution of fractional integro-differential , equations by collocation method , E.A. Rawashdeh, Department of Mathematics, Yarmouk University, Irbid 21110, Jordan" ...
1
vote
3answers
389 views

how to solve kawahara equation?

the numerical solution to a problem involving a nonlinear partial differential equation of the form below $u_t + uu_x + u_{3x} − u_{5x} = 0$ $u(x, 0) = f (x) , x ∈ R$ which is called Kawahara ...
0
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2answers
70 views

Simultaneous eqns in maple

I am trying to solve the following system of equations in maple but it doesn't work for some reason: ...
-1
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5answers
632 views

Cryptography in Maple and Mathematica

Is Maple or Mathematica preffered over the other for Cryptography/Number Theory? What are the advantages for each in terms of this area of mathematics? Also could someone compare and contrast ...
0
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3answers
332 views

Maple Error on Asymptotic Analysis of $\ln(n)!$

In Maple, the command asmypt($f$,$x$) computes the asymptotic expansion of the function $f$ with respect to the variable $x$ (as $x \rightarrow \infty$). The command asympt(ln(n)!,n); gives the ...
0
votes
1answer
129 views

Derivative of HeunC function

Given the HeunC function: $$ \operatorname{HeunC}\left( \frac{a^2}{2} \sqrt{2k+3},-1/2,-1+\frac{a^2}{2},-\frac{a^2}{8}(-1 +a^2 k), \frac{1}{2}-\frac{a^2}{4}, -\frac{x^2}{a^2} \right) $$ where $a$ is ...
1
vote
1answer
254 views

Maple, Graph of an optimization problem

I have solved the following maximisation problem analytically. I would like to graph the solution as well so I can see it, but I am not sure how to do this with Maple, i have just started using it. ...
1
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0answers
248 views

How to derive to inverse z transform of $\sqrt{\frac{1-a^2}{1-\frac{a}{z}}}$ from Laguerre differential equation?

How can I derive the inverse z-transform of: $$\sqrt{\frac{1-a^2}{1-\frac{a}{z}}}$$ If Maple is not the way, how to derive manually? With Maple code I encounter some problems ...
0
votes
1answer
50 views

How to disable empty space around the center circumference of the 3D function(using Maple13 and plot3d())?

When I try to plot 3D functions like the equation of a sphere with Maple13 on Linux(OS) using plot3d() I see empty space around the center circumference of the graph. I understand it might be useful ...
2
votes
2answers
606 views

Visualization of Cantor set by Mathematica or Maple!

We all know what it is the Cantor set. The Cantor set is created by repeatedly deleting the open middle thirds of a set of line segments. One starts by deleting the open middle third $(\frac{1}{3}, ...
4
votes
2answers
1k views

Maple: how to solving composite function

Here is just an simple example that I want to use Maple to solve: $$h(x)=f(g(x))$$ $$g(x)=2x+1$$ $$h(x)=4x^2+4x+7$$ Find polynomial of $f(x)$ Thanks :)
0
votes
1answer
332 views

Random-Tree simulation

I wanna simulate a Galton-Watson Tree to a maximum of n generation given a reproduction law P. I use Maple but I am unable to create the edges of the tree whenever there are more than two vertices in ...
0
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1answer
3k views

Using maple to find stationary points within a domain/range

I have no trouble finding stationary points using diff and solve in the following way: f:= somefunction; dx:=diff(f,x); evalf(solve(dx=0)); which gives me an ...
1
vote
2answers
227 views

Error In Assigning Values to Two-Variable Function

Please migrate this question if it is not appropriate for Math.SE (I fear it is not). In the following snippet, $f(i,j)$ is a procedure that compares the value of $i$ and $j$ before deciding what to ...
0
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1answer
493 views

Running command line Maple script interactively

I'm connecting over ssh to a machine running Maple. Is there a way to run a script, let's say derp.mpl, such that after executing the script Maple is still running? Something perhaps analogous to ...
1
vote
1answer
646 views

Lagrange Coefficients in Maple

I'm trying to compute Lagrange coefficients in Maple. Having found the $n$ roots of a Lagrange polynomial, I want to calculate the $j$-th coefficient: $$L_j(x) = \prod_{{i=0}\atop{j \neq ...
0
votes
3answers
916 views

Draw 3d double integral in Maple

I have a voluntary hand in I am working on, and in that rigard I need to draw the following figure in Maple. The area $ \displaystyle \iint_R \frac{x}{\sqrt{x^2+y^2}} \mathrm{d}A $ where $R$ is ...
0
votes
2answers
266 views

Integrating with vector coefficients in Maple

I'm trying to use Maple to do something like this integral: $\displaystyle\int \frac{a\mu-b}{||a\mu-b||^3} \mathrm{d}\mu$ Where $a, b$ are vectors and $\mu$ is a scalar I'm integrating by. But I ...
2
votes
2answers
1k views

Generating random array in Maple

I'm trying to do simulation in Maple, but I can't figure out how to do the following: How does one generate a set of random whole numbers in an array of 24 element (in 1 column) where the sum of the ...
1
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1answer
103 views

Maple help : How to use functions

I have a quadratic expression, which I process using the solve function in MAPLE, like so quadformula := solve(p,x); This displays the quadratic form of the ...
0
votes
1answer
53 views

Maple: Understanding PhasePortraits

I'm trying to understand how to use phaseportraits in maple by following an example however, I'm not really sure where certian aspects of the equations given come from: First, let us read in the ...
0
votes
1answer
336 views

How to make Maple 15 plot VolumeOfRevolution with implicity function?

Suppose I have two functions f(y) and g(y), how do I plot the surface rotated about the axes in Maple? Assume you cannot write f(y) or g(y) in terms of x. Maple only allows g(x) and f(x)
1
vote
1answer
162 views

How to substitute an array in a given expression in Maple?

Given e.g. f := a[1]*a[2]+a[1]*a[3]+a[2]*a[3] Now we want to substitute a[i]->i, I tried ...
0
votes
1answer
1k views

Find intersection of two functions in Maple

I have two functions $f$ and $g$ defined as: $$f := \operatorname{Spline}(\operatorname{pointsBW}, t)$$ $$g:=x \rightarrow \frac{1}{x}\int_0^x f\;dt$$ where $f$ is a functional form for a set of ...
0
votes
2answers
54 views

Lower-bounding expressions in Maple

I have the following complicated expression $E(n)$ and I am interested in finding a simple expression $S(n)$ such that $S(n) \leq E(n)$ for all sufficiently large $n$. Does anyone know how one can do ...
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0answers
151 views

recurrence relation of general difference polynomials

I have a sequence of difference polynomials (which I obtained by the method of finite differences) and I would like to find out if there is a recurrence relation between them. The generating function ...
1
vote
2answers
206 views

Is there a way to make Maple 15 graph on the plane?

I am trying to graph a parametric equation on $\mathbb{R}^2$, but Maple keeps giving me an $\mathbb{R}^3$ curve. Here is what I did ...
6
votes
1answer
234 views

Is correcting 2 consecutive error's in 9 messages from $ GF(2^6) $ by turning tham into 3 messages and solving Reed-Solomon code $ (3, 18) $ possible?

2 consecutive messages have errors. We have 9 messages from $ GF(2^6, x^6+x+1) $. Messages were encoded with $ (x+1)(x+a)(x+a^2)\sum_{i=1}^6X_ix^{i-1}=\sum_{l=1}^9Y_lx^{l-1} $ , where $ ...
1
vote
1answer
431 views

Maple: Galois Field with characteristic 2 $\mathrm{GF}(2^m)$ - how to convert polynomials into binary vectors and vice versa?

In GF($2^m$) each element is a polynomial also it is a binary message. I wonder how to make maple help me convert vectors of maple Bits into GF elements and back? Also it is not the question of ...
1
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1answer
215 views

Maple: bug in Overview of the GF (Galois Field) Package?

So I downloaded sample (Download Help Document) but I can not compile it - (last line fais with: ...
0
votes
1answer
282 views

How to simplify expressions in a polynomial ring using software Maple

![How to simplify expressions in a polynomial ring using software Maple][1]. For example,I want to verify some expressions is zero. But I don't know how to archive my goal. Anyone can help me? Thank ...
1
vote
1answer
377 views

Maple wrong about partial derivative of exponential function?

When I input this function in Maple: f := (x, y) -> exp(x+xy-2*y) And take the derivative: diff(f(x, y), x); I receive: ...
0
votes
1answer
1k views

mod and rem in Maple

I do not understand this statement "reduce the coefficient modulo 5 and take remainder"? Is the following Maple command to reduce the coefficient modulo 5 , which coefficient to reduce? ...
0
votes
1answer
169 views

recurrence relation only for odd indices maple

I want to define a recurrence relation $a(n)$ which is only defined for odd n. I tried something like: a:= (2*n-1)->a(2n-3)+(2n-2)!+a(2n-5); which apparently doesn't work. How do I define this ...
3
votes
0answers
180 views

Trying to solve Navier equations with Maple

I've been trying for ages now to get this to work, it's a system of partial differential equations (Engineering, Plate theory) $$pde1: = \frac{{{\partial ^2}}}{{\partial {x^2}}}u\left( {x,y} \right) ...
0
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1answer
173 views

Vector containing parameters

I am pretty new to maple and have the following question: If I define a vector q containing a parameter b should i define it like: q := vector[column]([b, 0]) ...