Questions tagged [maple]

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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Curvature of the Levi-Civita connection in a Lie algebra with Maple

I'm working with MAPLE. I have a Lie algebra spanned by $\{e_1,\ldots,e_8\}$ and the Levi-Civita connection associated to the Riemannian metric corresponding to the inner product satisfying that $\{...
Alejandro Tolcachier's user avatar
-1 votes
2 answers
70 views

Problems with plotting a function [closed]

I can't find out why maple won't plot a type of function the way it's supposed to be. Here are the functions I need to plot I'm considering B=24, h=0, t=10.2 and epsilon as the only variable. The ...
Bruno Magalhães's user avatar
0 votes
1 answer
62 views

Solve an ODE with Maple [closed]

I am studying numerical solutions of a certain ODE using the program Maple. In order to better understand the software, I simplified my ODE to reach the following system \begin{equation} y'(x)x|\ln(x)|...
Falcon's user avatar
  • 3,958
0 votes
4 answers
122 views

Finding $a$ such that $\tanh(x)-a\sin^2(x)=0$ has a double root

Given $f(x) = \tanh(x)-a\sin^2(x)$, what is the value of $a$ for which $f(x) = 0$ has a double root, and what is the value of that double root? My Work : Using MAPLE , I plotted a few graphs and ...
Michael Jones's user avatar
1 vote
0 answers
37 views

How to define a linear operator in Maple that commutes with derivatives?

I would like to simplify an expression involving the Hilbert transform in Maple. The Hilbert transform is defined by $$ Hf(x) = \frac{1}{\pi} \ \mathrm{p.v.} \int_{-\infty}^{+\infty} \frac{f(z)}{z-x} \...
Liu's user avatar
  • 11
0 votes
1 answer
72 views

Plotting the image of a complex-valued multivariable function in Maple

Consider for example the function \begin{align*} f: (-2 \pi, 2 \pi) \times (-2 \pi, 2 \pi) \to \mathbb{C}, (x,y) \mapsto x^2 e^{i y} \end{align*} Note that this is not actually the function I am ...
Andreas132's user avatar
0 votes
1 answer
62 views

Why does my finite difference implementation for a 1-D 4th order differential equation not work?

I am trying to solve a 1-D 4th order differential equation using finte difference method. I am implementing the algorithm in maple and was able to get approximate solutions for second order ...
MazzMan's user avatar
  • 115
1 vote
2 answers
88 views

Definite integral $\int_{-\infty}^\infty \int_{-\infty}^\infty \exp(-x^2 y^2) \; dx dy$?

The deceptively simple-looking double integral $$ \int_{-\infty}^\infty \int_{-\infty}^\infty \exp(-x^2 y^2) \; dx dy $$ is clearly finite, but both maple and Wolphram alpha gives the value $\infty$...
kjetil b halvorsen's user avatar
0 votes
1 answer
70 views

Interpreting/understanding the lambertW on Maple software

I decided to use the Maple software to help me solve dynamic optimization problems, and I found this final solution for T. (example in the picture). example What does the LambertW mean for the ...
Meg's user avatar
  • 15
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0 answers
35 views

Group algebras in Maple

Let $G_p,G_q\subset G$ be abelian subgroups of a finite group $G$, which we can assume is a permutation group $G\subseteq S_N$. I am looking at, in the group algebra $\mathbb{C}G$, calculations of the ...
JP McCarthy's user avatar
  • 8,340
1 vote
1 answer
62 views

Integral of a weighted function

I am trying to compute the following integral. Unfortunately, I do not have Maple(or any other program handy). I got stuck calculating it by hand: $$ \left(\int_0^tw(s)+t^p\int_t^{\infty}s^{-p}w(s) ds\...
volond's user avatar
  • 297
1 vote
0 answers
24 views

How to create a LieAlgebra from a Clifford algebra and decompose it in Maple?

I'd like to set up a Lie algebra from the commutator of a complex Lie algebra. I've found you can create Clifford algebra data with ...
Gere's user avatar
  • 2,117
0 votes
2 answers
210 views

Generating polynomial base on the root of an equation

I want to write a program in Maple that can helps us to generate the polynomial with variables (for example a, b, c) if we know a, b, c are three roots of an equation. Let me show an example of this ...
NKellira's user avatar
  • 2,001
2 votes
2 answers
241 views

Why can't math software solve the integral $\int\limits_{-a/2}^{a/2}\int\limits_{-a/2}^{a/2}\frac{1}{\sqrt{x^2+y^2+z^2}}dxdy$?

Consider the task of finding the electric field at a height $z$ above the center of a square sheet of side a carrying uniform charge $\sigma$. I am asking this in the math stack exchange because ...
xoux's user avatar
  • 4,853
-1 votes
2 answers
83 views

How to use Maple to eliminate parameters in surface vector equation to obtain equation in Cartesian coordinates?

Consider the surface given by the vector equation $$\vec{r}(u,v)=(x_0+a_1 u+b_1v)\hat{i}+(x_0+a_2u+b_2v)\hat{j}+(z_0+a_3u+b_3v)\hat{k}\tag{1}$$ and the task of eliminating parameters $u$ and $v$ to ...
xoux's user avatar
  • 4,853
0 votes
2 answers
125 views

How to find roots of a system of multivariate polynomials? [closed]

I am trying to find the roots of a system of 3 multivariate polynomials with 3 variables. The polynomials are really 'ugly'. So far I have tried to find a Groebner Basis in Maple and got a Groebner ...
fabs's user avatar
  • 21
-2 votes
1 answer
73 views

Convert one equation into another form using Maple and see the steps [closed]

I want to convert this equation exp(x - y)/(1 + exp(1)^(x - y))^2 into exp(1)^(x + y)/(exp(1)^x + exp(1)^y)^2 equation. And I want to see the steps to do that in maple. So far, I checked if both ...
Damon Kutt's user avatar
-3 votes
1 answer
83 views

How can i use Maple(or any other software) to rearrange any equation into another equation? [closed]

Let's say I have some equation $= x^2+y=3$. I want to somehow rearrange this into something else such as $x=({\rm root}(3-y) z)/z$. I solved for x and multiplied z above and below. Can Maple (or some ...
Damon Kutt's user avatar
1 vote
1 answer
106 views

Vandermonde Matrix for Polynomial Interpolation - Maple

I have a problem with the following code in Maple. I am trying to solve a problem regarding the Vandermonde Matrix for Polynomial Interpolation. $$\\restart:\\with(LinearAlgebra):\\A := ...
Ulffer's user avatar
  • 121
1 vote
1 answer
351 views

How should I do partial derivatives in Maple in a symbolic way?

I want to calculate the partial derivatives of the function $A(x,y)$. For example, I want to use Maple to calculate $\frac{\partial^2}{\partial x\partial y}\left(K\cdot x\cdot A(x,y) \right)$ where $K$...
Kenneth.K's user avatar
  • 1,385
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0 answers
27 views

Difference between Taylor polynomial of $f(r)=(1+\frac{a^2-2ay}{r^2})^{-3/2}$ at $r=m$ as $m\to \infty$ and the function $(1+s)^{-3/2}$ at $s=0$?

Consider the expression $$E(x,y)=\frac{x\hat{i}+(y-a)\hat{j}}{(x^2+(y-a)^2)^{3/2}}\tag{1}$$ where $r^2=x^2+y^2$. I'd like to investigate what happens when $r>>a$. Let's consider the factor ...
xoux's user avatar
  • 4,853
0 votes
1 answer
110 views

When we reduce this $Ax=b$ system repres. by an augmented matrix to row reduced echelon form, why do all components of the $b$ vector become numbers?

Consider the linear system $Ax=b$ where $$A=\begin{bmatrix} 1&2&3&5\\ 2&4&8&12\\ 3&6&7&13 \end{bmatrix}\tag{1}$$ $$b=\begin{bmatrix} b_1\\ b_2\\ b_3 \end{bmatrix}\...
xoux's user avatar
  • 4,853
-1 votes
1 answer
125 views

How to use recursion to define a number series in maple

I am new to maple and I want to define a number series as follows, but the error code is that there are too many levels of iterations. How to solve this problem? g:=proc(x) g(x):=(sum(g(i),i=1..x-1))/(...
Ada's user avatar
  • 61
-1 votes
1 answer
102 views

Why does Maple fail to find a solution to this system of differential equations using rkf45 numerical method but not using the classical method?

Consider the system of differential equations $$y'(x)=z(x)\cdot g(x)$$ $$z'(x)=y(x)\cdot g(x)$$ where $g(x)$ is just some random number, generated from seed $x$. How do we solve this system using the ...
xoux's user avatar
  • 4,853
1 vote
0 answers
86 views

How to convert expression to a single fraction in Maple?

I am trying to use Maple to evaluate some integrals, in the following form: $$\int\frac{1}{(Z^2 + \alpha^2)^{5/2}}dZ = \frac{Z(3\alpha^2 + 2Z^2)}{3\alpha^4(Z^2 + \alpha^2)^{3/2}}$$ The indefinite ...
Time4Tea's user avatar
  • 553
0 votes
0 answers
34 views

Maple - Express Multivariate Polynomials in Specific Ideals

I want to know if there exists a command in Maple that can show how a multivariate polynomial is expressed in the specific ideal, and show what this expression is. ex: $$D4 := a_0^3*a_4^3 - 12*a_0^2*...
Zero's user avatar
  • 15
-2 votes
1 answer
39 views

How to plot a rolling window of five points from a matrix using animate in Maple [closed]

This question is about animating a plot of 3d points in Maple. Consider the parametric function $$f(t)=(0,\cos{t},\sin{t})$$ Let's create a matrix of twenty points of this function, each row being a ...
xoux's user avatar
  • 4,853
0 votes
1 answer
127 views

How to plot inequalities $x^2+z^2\leq 4$, $2\leq y \leq 4$ on Maple [closed]

I am trying to plot the graph of the region in 3D-space defined by $$x^2+z^2\leq 4, \quad \quad 2\leq y \leq 4.$$ This is a solid circular cylinder of radius $2$ with axis $y$-axis that lies between ...
Sarah's user avatar
  • 1,672
-1 votes
1 answer
106 views

Solve system of linear equations symbolically with Maple

Trying to understand derivations of the Laplacian in spherical-polar coordinates I've seen on the net and I would like to use Maple to verify a formula which expresses the basis vectors $\hat{x},\hat{...
Lasse Karagiannis's user avatar
0 votes
2 answers
95 views

In Maple, how do we compute $\sin{1}$ with an error of less than $10^{-17}$ using this very manual way? [closed]

Suppose we would like to compute $\sin{1}$ with an error of less than $10^{-17}$ specifically using a Taylor polynomial at $\pi/2$ (instead of the easier route of doing the computation at $0$). If we ...
xoux's user avatar
  • 4,853
0 votes
2 answers
245 views

Defining a function with variable in subscript

I want to define function f_n:=x^n in maple in such a way that if i enter f_3 is should get x^3. i'm unable to do so, please help me in this regard. Thank you in advance.
Sangama's user avatar
  • 23
0 votes
1 answer
38 views

Ploting Polygon in Maple with more then 3 Dimensions

I have a set of constraints with the variables $x_1$ and $x_2$. relations $= [-1 <= x_1, x_1 <= 1, -1/2 <= x_2, x_2 <= 3/2]$ and plotting the polygon works just fine in Maple when I use ...
ufg's user avatar
  • 11
0 votes
1 answer
29 views

Optimization in maple [closed]

I optimized a function and I want to use the value. The answer I got is [4.77011197468878567, [alpha = 1.43792823465135400]] and I want to use the alpha for plotting but I don't know how to extract it....
Ronen Bar-El's user avatar
1 vote
1 answer
35 views

Maple: Comparing an index variable to an integer in the context of product

I'm running into a strange problem. I want to implement a product in Maple with skipping some factors. For example (a very simplified one): $$\prod_{\stackrel{k=1}{k \not= 3}}^{5} (x-k) = (x-1)(x-2)(x-...
ScottHastings's user avatar
1 vote
0 answers
70 views

Linear Elliptic PDE Variable Coefficients Non-Separating Variables

I am trying to obtain Analytical solutions for the following Linear Elliptic PDE in the dependent variable U(x,y) having variable coefficients. 'x' is a (pseudo) radial coordinate, and 'y' is an ...
Prakash_S's user avatar
-1 votes
1 answer
142 views

How do I obtain a plot of $f(x)=\sqrt[3]{x}$ that includes $x <0$?

I believe that the cubic root of $-8$ is $-2$, ie $\sqrt[3]{-8}=-2$, or $(-2)^3=-8$. When I ask Maple to tell me what this cubic root is root(-8, 3) I get the ...
xoux's user avatar
  • 4,853
0 votes
1 answer
90 views

How to cancel the same term on both sides of equation in Maple? [closed]

I tried using "simplify" but it doesn't work. For example: simplify(a*b=b*c) assuming b>0 will not get a=c but return the original equation. or even <...
hoverstar's user avatar
2 votes
1 answer
65 views

Why does Maple evaluate $\lim_{x \to \alpha/2} \frac{x^2\alpha}{2x}$ but not $\lim_{x \to \alpha/2} \frac{x^2\alpha}{2x-\alpha}$? [closed]

Why does Maple evaluate the first limit but not the second:
xoux's user avatar
  • 4,853
-1 votes
1 answer
145 views

Conformal Plot in Maple

I'm trying to plot some conformal maps in polar coordinates on maple using the conformal function. I want to specify the domain to be the unit disk in $\mathbb{C}$. How do I do this?
tmbbdil's user avatar
  • 121
-1 votes
1 answer
229 views

Maple: How to use maple to generate a sequence with double variables?

I am working on a sequence: seq([seq([a[i,j],b[?]],i=1..3)], j=1..3)], it has in total 9 output of a such as a[1,1],a[2,1],a[3,1],a[1,2],a[2,2],a[3,2],a[1,3],a[2,3],a[3,3], yet I need to the output of ...
bob tom's user avatar
-2 votes
1 answer
66 views

3Dplot in maple [closed]

Hello all, I am considering the function $f(t,u)=e^{(t^{2}+10u-1)}$. I am also considering the tangent plane $g(t,u)=-121+22t+10u$ at point (11,-12). I would like to draw a 3Dplot in maple that shows ...
saleem's user avatar
  • 155
1 vote
1 answer
62 views

How to obtain the gradient of $T(x,y,z)$, in spherical coordinates for the spherical basis vectors using Maple?

Let $T(x,y,z)$ be a function. Then $$\nabla T=\frac{\partial T}{\partial x}\hat{i}+\frac{\partial T}{\partial y}\hat{j}+\frac{\partial T}{\partial z}\hat{k}\tag{1}$$ is the gradient of $T$. I would ...
xoux's user avatar
  • 4,853
2 votes
1 answer
118 views

How to find formulas for spherical coordinates in terms of Cartesian coordinates using Maple?

We can go from spherical coordinates $(r, \theta, \phi)$ to cartesian coordinates $(x,y,z)$ using the equations: $x=r sin(\theta) cos(\phi)$ $y = r sin(\theta) sin(\phi)$ $z = r cos(\theta)$ Consider ...
xoux's user avatar
  • 4,853
0 votes
2 answers
233 views

How to interpret a solution from Maple's $solve$ command when I use $assume$? [closed]

Consider the following function $$W(k,a,b,q_1,q_2,q_3,q_4)=\frac{k}{a}(q_1q_3+q_2q_4)+\frac{k}{b}(q_1q_2+q_3q_4)+\frac{k}{\sqrt{a^2+b^2}}(q_2q_3+q_1q_4)$$ In Maple, ...
xoux's user avatar
  • 4,853
0 votes
1 answer
63 views

Is Maple's simplification assuming integer rigorous?

I have a rather long and complicated expression that should be zero that I cannot work out by hand. But using Maple and assuming the variable is an integer, it simplifies to zero, as expected. How ...
N. Owad's user avatar
  • 6,792
-1 votes
2 answers
209 views

Approximate the solution of this initial value problem using Euler's method (Maple)

I have the following initial value problem for two functions $y(x)$,$z(x)$: $0=y''+(y'+6y)\cos(z)$, $5z'=x^2+y^2+z^2$, where $0\leq x \leq 2$ and $y(0)=1.7$, $y'(0)=-2.7$, $z(0)=0.5$. Then I got the ...
Tiffany Xu's user avatar
-2 votes
1 answer
65 views

Generating all tuples in $Zp^n$ using Maple

What are some suggestions on how I could most efficiently generate a list of all tuples in $\mathbb{Z}_p^n$? (For example, for $p=n=2$, $\{[0,0],[0,1],[1,0],[1,1]\}$). I can get this to work for a ...
Ethan's user avatar
  • 152
0 votes
0 answers
113 views

Partial fraction of a function with two variables

I am trying to decompose a function within an optimization problem. I see that Maple and similar software products can do it for a single variable function but not for multi-variate ones. Now, I am ...
Reza Farahani's user avatar
1 vote
1 answer
105 views

Different solutions to the same system of linear equations

I want to solve a real homogeneous system of linear equations represented by this matrix: \begin{bmatrix}0&2&2&7&1&0\\1&0&1&3&1&0\\-1&2&1&4&0&...
user avatar
0 votes
1 answer
135 views

Evaluate integral Maple

I am trying to solve the following diff-equation: $y'(t)−(3t+2)y(t) = 4e^{3t}$ I have found the solution manually and now I want to check my answer with Maple. I have defined the diff-equation: L := ...
omem's user avatar
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