Mathematics Stack Exchange
Mathematics Stack Exchange

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.

Maple is an interactive engineering and scientific programming environment, as well as a high level programming language, from Maplesoft.

The following links can be useful:

765 questions
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is there a name for this function (parity of a finite sequence)?

Variants of this question have been crossposted to Stack Overflow and Computational Science Stack Exchange. Additional answers may be found at these other sites. Math people: In an attempt to solve a larger problem, I defined a function $\sigma$…
Stefan Smith
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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, installing QEPCAD on Ubuntu 14, I tried to eliminate…
user64540
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0 answers

Maple Code for Ricci Flow

I am trying to generate a Maple Simulation for Ricci Flow assuming general Solids of Revolution and such. I assume that there is a surface with the following parametrization: $$S:\left\{\begin{matrix}x=R(z,t)\cos\theta \\y=R(z,t)\sin\theta\\…
Keith Afas
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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 $ a=(0,0,0,0,1,0) $. I have 9 messages $ \tilde{Y} $ from that $…
myWallJSON
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1 answer

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 above solution into the original differential equation…
Mia
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2 answers

Has anyone published a formula for the volume of the intersection of two balls

Math people: I have Googled this question and searched Math Stack Exchange, and not found an answer. Given $r_1, r_0, t >0$, $r_0 \leq r_1$ I have found a formula for the volume of the intersection of two three-dimensional balls with radii $r_0$…
Stefan Smith
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2 answers

Why doesn't $z^n\cdot\left(\frac{a+b}{z}\right)^n = (a+b)^n$ always hold?

When I entered is(z^n*((a+b)/z)^n = (a+b)^n); into Maple, the output was false and I guess Maple assumes that $a,b,n$ and $z$ can be any number in $ℂ$. I thought $$z^n\cdot\left(\frac{a+b}{z}\right)^n$$ was…
xoxox
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Zeilbergers algorithm in Maple

I try to prove several hard combinatorial identities. One of them is following \begin{align*} \sum_{s=0}^{\min\{k,n-1\}} \sum_{i=0}^{k-s} (-1)^{i} {2n+k-i-1 \choose k-s-i} {i-n \choose s} {n+i-1 \choose i} {n+k-s-1 \choose k}…
Liza
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Inserting Maple worksheet commands

In Maple, it's very easy to delete a line or command in a worksheet (cmd-backspace), but how would I insert a line in the middle of a worksheet?
HeliosPanoptes
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5
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3 answers

How to define a recurrence relation in Maple?

I'm new with Maple and want to define a recurrence relation. I want to 1) have Maple solve it to the explicit formula 2)have Maple output a few evaluations of it for various values of n For example if I have $a_n=2a_{n-1}+3a_{n-2}$ with $a_0=1$ and…
Celeritas
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5
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Maple calls absolute convergent sum divergent, but why?

Determine whether the sum is divergent, absolute convergent or conditionally convergent. First, I tried to solve this by hand. I tried to find a convergent majorant series for the series in question. $$\bigg|\cos(n^2+1) \frac{2+n^2}{1+n!} \bigg|…
Carl
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3 answers

How to draw heart shape using Maple

I'm drawing a heart shape using Maple, but the heart-shaped curve is broken. Please hint to me how to draw it correctly.
Software
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5
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How to compute Nullspace on maple?

I have the matrix $$A := \begin{bmatrix}6& 9& 15\\-5& -10& -21\\ 2& 5& 11\end{bmatrix}.$$ Can anyone please tell me how to both find the eigenspaces by hand and also by using the Nullspace command on maple? Thanks.
Bubblez775
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Maple gives phantom solution to inequalities

I'm trying to get maple to solve some inequalities for me, and in particular to tell me when they have no solution. Unfortunately, it does not seem to be doing what I expect. The following inequalities have no solution. \begin{align*} 0 &\lt f[1],…
Simon Willerton
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Factoring polynomials over finite fields using Maple and Maxima

Can you factor polynomials over certain finite fields using Maple or Maxima, and if so, how?
flawr
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