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
138 views

How to numerically solve such differential system (ODE, Nonstationary, Nonhomogeneous) (what steps to take)?

So I have next system with boundary conditions: Maples sol:=dsolve([sysG, bc]) and ...
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1answer
33 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\\ ...
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0answers
302 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 ...
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1answer
258 views

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

Is it correct that they use a matrix transformation?
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1answer
82 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 ...
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1answer
70 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 ...
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0answers
64 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 ...
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1answer
69 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 $1 ≤ y ≤ L[x]$.
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1answer
140 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)\\ ...
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2answers
442 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 ?
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4answers
87 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 ...
0
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1answer
413 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
227 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 ...
0
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1answer
160 views

Maple Matrix for LinearSolve [closed]

With the following matrix, I'm suppose to use Maple to create the vector b that is column 3 from A and the matrix C that is made from columns 1 to 2 and 4 to 11 of A (in the same order as the ...
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3answers
197 views

How do i do this in maple? [closed]

need help with this maple question on sequences, finding it hard to turn the whole bunch of functions into a single maple function. ...
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2answers
42 views

Maple equation entry

I'm given this question and asked to solve it in maple. What are the codes to key in this equation?
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0answers
188 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
86 views

how to solve the Blasius problem using gegenbauer in maple?

The steady, laminar, incompressible, viscous flow over a semi-infinite flat plate can be expressed by the following boundary value problem ${\partial u \over\partial x}+{\partial v\over\partial y}=0$ ...
1
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1answer
327 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
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1answer
176 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" ...
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3answers
290 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 ...
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2answers
61 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: ...
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0answers
94 views

How can I use rationalized haar functions to solve differential equations?

How can I use rationalized haar functions to solve differential equations? I do not have any idea what are haar functions and how to use them please help!
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5answers
526 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 ...
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3answers
254 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 ...
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1answer
104 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
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1answer
159 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. ...
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0answers
165 views

continued fraction to rational polynomial in maple?

In maple is there a way to convert a continued fraction into a rational polynomial? I'm using the minimax function and for a particular function I want to approximate it returns a continued fraction ...
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0answers
175 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
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1answer
47 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 ...
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1answer
270 views

Double integral in Maple involving parameters [closed]

$$\int_{0}^{1}\int_{0}^{1-x}(1-x)(1-y)(x+y)x^{n_1}y^{n_2}(1-x-y)^{n_3}\mathrm{d}y\mathrm{d}x$$ I want to calculate above integral in Maple, the parameters $n_1,n_2,n_3$ are all natural numbers. I ...
2
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2answers
373 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}, ...
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1answer
81 views

Programming question in Maple [closed]

How do I ask Maple to skip an integer in a loop? Something like: for i from 0 to n do for j from 0 to n, j<>i, do ... (I want j to skip i.)
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2answers
831 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 :)
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1answer
237 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 ...
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1answer
2k 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 ...
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2answers
175 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
322 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 ...
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1answer
418 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 ...
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3answers
519 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 ...
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2answers
173 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 ...
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2answers
679 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 ...
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1answer
83 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 ...
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1answer
46 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 ...
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2answers
845 views

Solving linear equation using maple

Use Maple to find the general solution to the following system of linear equations: $$\begin{eqnarray} 2x1 + x2 - x3 + 3x4 = 2\\ x1 + 2x2 - x4 = -1\\ 3x1 + 2x2 - 2x3 + x4 = 1\\ ...
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1answer
240 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)
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1answer
80 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
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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 ...
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2answers
46 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
140 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 ...