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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What is the algorithm for the “Shorten” command in Maple?

There is a package in Maple called "PolynomialTools". That has a command "Shorten". Does anybody know on what algorithm this is based. The maple manual does not explain much. Example: ...
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64 views

Help in understanding the Maple answer

I tried to find the definite integral of an equation using Maple. It returns the answer to me as a limit. Specifically, it is giving me $$\lim_{r\to \infty} G(r)$$ What does this answer mean? Do I ...
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216 views

Maple Maths Question

Find, to 10 significant figures, the unique turning point of x[0] in the interval [1,2]. Also, i've got to get the second derivative in 10 significant figures. The plot doesn't exactly make sense ...
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27 views

Differentiation of a parametric function using MATLAB or Maple

I'm doing some mathematical calculation of some symbolic math that includes multiplication and differentiation of some matrices. Some of the parameters in my calculations are functions of time. for ...
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1answer
25 views

Naming variables “_t3” from LinearSolve output in Maple 17

When I, in Maple 17, use LinearSolve in the package LinearAlgebra I get an result like <3_t3,_t3,-2_t3> Is it possible to tell Maple to name the variable ...
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1answer
63 views

solving the pde $U_t(x,t)=U_{xx}(x,t)-b(t)U(x,t)+q_0$ for $U(x,t)$ using maple

I have the pde $U_t(x,t)=U_{xx}(x,t)-b(t)U(x,t)+q_0$, where $b(t)$ is a function of only $t$ and $q_0$ is a constant, $0<x<\pi$, $t>0$. I also have some boundary conditions: $U(x,0)=0$ and ...
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1answer
81 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 ${\partial u \over\partial x}+{\partial v\over\partial y}=0$ ...
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1answer
28 views

Function of polygonplots does not plot all polygons

Could anyone explain to me why my Maple-Code does not work properly? ...
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1answer
75 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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1answer
44 views

contourplot labels?

I need to label my contours generated by using the contourplot function. Is this feasible in Maple? I have tried the advisor6 database found here ...
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1answer
99 views

Solving Poisson Equation Finite-difference using maple

How do I solving Poisson Equation Finite-difference using maple consider Poisson equation $$\frac{\partial^2u}{\partial x^2} (x,y)+ \frac{\partial^2u}{\partial y^2} (x,y) = x*e^y$$ $0<x<2$ ...
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1answer
77 views

Linear functions with parameter in maple

Please help me, Im new in Maple. Dont you know how I can solve this? Matrix(3, 3, {(1, 1) = 863138, (1, 2) = -332862, (1, 3) = -530302, (2, 1) = 1726276, (2, 2) = -665724, (2, 3) = -530302*m, (3, ...
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1answer
32 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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1answer
406 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 ...
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1answer
101 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 ...
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51 views

IVP computer code stuff

I need help with this following problem: Write maple code to solve numerically the initial value problem $\frac{dy}{dt} = g(t)=\int_{0}^{t}f(x) dx$ and $y(0)=0$. a) Use numerical ...
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62 views

Maple code to Latex file

I am writing a project in Latex and have been using Maple to help calculate various things. I want to copy the code in maple and put it into the Latex file so it will still maintain the maple style ...
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59 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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136 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) ...
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44 views

Why Maple fails to judge $x < \tan(x)$ assuming $0<x<\pi/2$?

I am using maple to verify an expression, $x < \tan(x)$ for $0 < x < \pi/2$, but it returns FAIL, i.e. is ( x < tan(x) ) assuming 0 < x < Pi/2 ...
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Solving the General Equilibrium with $4$ equations and $4$ unknowns

I have to solve four equations to solve the equlilibrium prices for the two countries: $\frac{2p_1}{w_1} + \frac{p_1}{w_2}= \frac{48w_1^2 + 4p_1^2+p_2^2}{8p_1w_1}+ ...
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88 views

Change of variables in differential equation in Maple

Consider the differential equation $zZ'' + Z' + \alpha^2Z = 0, $where $Z = Z(z).$ Use the change of variables $x = \sqrt{z/a}$ with $a$ a constant to obtain the differential equation $Z'' + (1/x)Z' ...
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49 views

what is the algorithm to calcuate max and min in piecewise function

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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90 views

How to get a symbolic answer

I am coding some optimization problem in Maple, and actually I did something and got a numerical solution. Right now I want to do the same thing but need to get the symbolic answer. The problem I have ...
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61 views

Put a value to a variable in Maple

I have these commands and I would like to put a value 2.02682872387444 from table to a variable for example a. How can I do it? DR1 := diff(x(t), t) = 100*x(t)-3*x(t)*y(t) DR2 := diff(y(t), ...
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104 views

Plotting characteristic equations maple

I'm trying to plot the characteristics for the following PDE with initial conditions: $$u_t +uu_x =0$$ where $$u(x,0)=a \ for\ x<-1, \ b\ for\ -1<x<1, \ c \ for\ x>1.$$ I'm first ...
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0answers
46 views

Displaying $2 \cdot 10^5$ as $200000$

How can I in Maple write out the number $2 \cdot 10^5$, so it displays the full number with all digits: $200000$? By typing increasing zeros I can test Maples treshold, and I get: $20$, $200$, ...
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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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182 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 ...
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168 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 ...
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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 ...
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24 views

Jacobian of a Vector in Maple

I am trying to derive the Jacobian matrix of a vector q, which is a very big 3-element column vector including time dependent expressions wrt another 3-element vector eta. eta := Vector([r(t), p(t), ...
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18 views

Solving a system of equations involving matrices in Maple

I have a system of equations involving matrices which I would like to solve symbolically. The system has multiple equations like this: $\begin{pmatrix} x_{1,1} & \dots&x_{1,7}\\ \vdots & ...
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62 views

How to eliminate functions from a set of differential equations with Maple?

I've got a set of 7 equations, 3 of them being differential equations, with 7 unknown functions. I'd like to reduce the system to a set of 2 differential equations by eliminating 5 of the unknown ...
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44 views

In Maple or Mathematica, syntax : Finding the fundamental sol. of the Heat eq., with Dirac-Delta initial condition

I use this question as a case example for later solving more complex equations of this type : When trying to find the fundamental solution of the Heat equation using Maple (software) , I get the ...
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56 views

Galios Field Theory

$GF(29)^2$ is created by adjoining the root of the irreducible quadratic $p=x^2+7x+15$ to the field $GF(29)$ . The cubic polynomial $q=Y^3+(26x+26)Y^2+(8x+22)Y+13x+23$ is irreducible over this new ...
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50 views

Computation of a singular integral (maybe in Maple)

Excuse me please. I am a student of Mathematics, now I am writing my graduate work. Could you please answer me how to calculate the following integral (exactly or approximately, maybe using Maple): ...
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57 views

SIR models - help!

I am doing a project on the spread of infectious diseases and I have chosen to model this spread by using the SIR model - (susceptibles, infectious, recovered). I have to insert data into this model ...
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78 views

Perturbation in Maple for ODE

I am working on doing a perturbation analysis for a model of opsin delivery in the eye. The ODE is VERY complicated ${\frac {d}{dt}}\eta \left( t \right) =1/2\,{\frac {-K_{{2}}kP_{{0}}+ \eta \left( ...
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33 views

Can Maple solve recurrence relations when n is only certain numbers?

If you have an equation $a(n)=a_{n-1}+2a_{n-2}$ only defined when n is powers of 2, how would convey that to Maple that n has a restriction? What if you wanted only $n \ge 2$?
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47 views

Store equilibrium points of a 3D system in a (x,y,z) array

I have a complicated 3d nonlinear differential system which I solve algebraically using maple's solve command. I aim to find the equilibrium points of the system using MAPLE and then plot these ...
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62 views

What are V(f) and D(f) in real practice of EGA

https://skydrive.live.com/redir?resid=E0ED7271C68BE47C!355 would like to do and understand what is V(f) and D(f) where D(f) = SpecA - V(f) in the following diagram, it said V(f) is subset of p ...
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74 views

Complex or contour plot

I need to write a function f1 and f2 such that g(z) = 1/z and f1(g(z)), f2(g(z)); both plots on the same graph should look something like this graph: http://i.stack.imgur.com/iWDrk.png So far i came ...
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92 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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158 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 ...