Tagged Questions

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.

2answers
42 views

Finding Blowup of an ODE with maple

I've been interested in finite blowups of odes lately. I'm looking for a good way to calculate blowup times in maple. Right now all I do is to use dsolve, plot the ode, and then look where the ...
1answer
43 views

How write these two motions into one system

f describe the horizontal motion g describe the vertical motion have error when put m(t) in x() Maple code ...
1answer
36 views

What is the easiest way to define a complex number in exponential form in maple?

What is the easiest way to define a complex number in exponential form in maple? Is there a built-in function? eg: $\underline{Z} = 600 \cdot e^{-j45^\circ}$
0answers
42 views

How can I solve this really easy number theory/modular arithmetic problem in Maple?

Math people: This is more of a Maple question than a math question, but I think I will get an answer more quickly here than at mapleprimes.com. I spent a lot of time on Google, mapleprimes.com, and ...
3answers
126 views

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 ...
0answers
43 views

Why Syz algorithm for module have dimension problem, how to divide vector and multiply vector at final step to get 1*6 Vector

refer to page 162 in an introduction to grobner basis, william W. Adams https://skydrive.live.com/redir?resid=E0ED7271C68BE47C!338 https://skydrive.live.com/redir?resid=E0ED7271C68BE47C!339 when ...
0answers
45 views

How to calculate Grobner basis for Syz(i,f1,f2,g1,g2)

refer to page 174 in an introduction to grobner bases, william A. Adams no matter choose first row or second row of i, f1, f2, g1, g2, the maple code not the same as in the book ...
1answer
89 views

Numerical values of the Jacobi elliptic function sn: Wolfram Alpha vs. Maple vs. C++?

I have a problem to check the validity of an algorithm I've implemented in C++ to compute the Jacobi elliptic function $\mathrm{sn}(u, k)$ (inspired and improved from Numerical Recipes 3rd edition). I ...
1answer
30 views

Finding the derivative of a numeric solution to an ode in maple

I'm looking at functions of the form $w''''(t)+aw''(t)+f(w(t)) = 0$ In maple I used the following which will return numeric solutions to w,w',w'',w''': sol := dsolve({de, ics}, type = numeric, ...
2answers
56 views

find the largest perfect number less than $10,000$ in Maple

Can anyone tell me how to find largest perfect number less than 10000 in maple? Actually, I know how to find all the perfect numbers less than or equal to 10000 but I don't know how to find the ...
2answers
44 views

'Or' in a 'If' command in maple [closed]

I was wondering how maple sees the command 'or'. Because maple keeps saying 'Error, numeric exception: division by zero'. In particular, doesn't he go automatically in the loop when the first ...
1answer
24 views

Solve nonlinear system in maple

I want to solve the system $A - B = C$ to $A$, with $A$, $B$, $C$ matrices. And the variables in the matrix $B$ and $C$ are a combination of the variables in $A$. How can I do this? Because ...
2answers
31 views

Simple question. How do you solve and factorize this using a CAS tool?

Simple question for you awesome guys :) I've got the formular for a polynomial: 7x^4-56x^3+224x^2-56x+231=0 The thing i need to do is to solve and factorize the ...
0answers
38 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 ...
2answers
37 views

How use Maple12 to solve a differential equation by using Euler's method?

Consider the differential equation $y^{\prime}=y-2$ with initial condition $y\left(0\right)=1$. a) Use Euler's method with 4 steps of size 0.2 to estimate $y\left(0.8\right)$ I know how to do this ...
1answer
115 views

How to draw heart shape (3D) using Maple

I'm drawing a heart shape (3D) using Maple, but I think it is not correct. Please hint to me how to draw it correctly. with(plots); implicitplot3d((2*x^2+y^2+z^2-1)^3-(1/10)*x^2*z^2-y^2*z^3, ...
1answer
57 views

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.
0answers
13 views

How to convert groebner basis of kernel into kernel with maple?

eliminiate is not for all cases, what is the correct method to convert groebner basis of kernel into kernel ...
1answer
81 views

Why can't I use “limit” with two unknowns?

Why does Maple 14 gives me back the whole function when I want to use "limit" with two unknown variables?
2answers
47 views

How to plot two unknowns in maple 14?

This doesn't works in Maple 14. Why? How can I plot this function? The original function not in maple (where is it continuous?): http://i.stack.imgur.com/vL9Qx.jpg
1answer
42 views

How can I make this type of substitution in maple?

I have tried using subs but it is not working for what I am trying to do. I have r2 := (n_x^2+n_y^2-1); and I want this expression: ...
1answer
64 views

Using Maple to work out error terms

I have the exponential matrix using a Jordan form matrix and transition matrix: \$E(t) = e^{At}= \left[ \begin{array}{ccc} e^{3t}+3te^{2t} & 3e^{3t}-3e^{2t}+6te^{2t} & ...
1answer
51 views

mod after a function

I am trying to find the solution, null space, for a set of equations represented by a matrix A. The example I find is as follows: Nullspace(A) mod 5; I have two questions: 1 - I cannot get Maple ...
1answer
209 views

Solving System of Differential Equations with initial conditions maple

I've been asked to solve a system of differential equations using maple (for practice, as it is solvable by hand...), but I seem to be running into goop with syntax... d/dt r(t) = -lambda_r*r(t) + ...
2answers
75 views

Plotting Endpoints on a Piecewise Graph in Maple

I am trying to plot a piecewise function in Maple and have the endpoints of each piece be an open circle or closed circle accordingly. To define the function, I did: ...
3answers
128 views

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 ...
1answer
43 views

maple : how to extract the data.

while doing optimization in MAPLE, i am getting the output in the form of a list, which is as follows. \begin{equation} t=[.366595121038205462, [pr = 14.2982930082790, ps = 22.5165237470778]] ...
2answers
169 views

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 ...
0answers
37 views

How to convert continous function into discrete function [closed]

The following functions are from a book What is the method to convert continuous function to discrete function ...
2answers
129 views

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 ...
1answer
99 views

How to expand trigonometric equation into non quadratic terms in MAPLE

I'm working with partial differential equations at the moment and at a point I get a trigonometric equation like this: $$\sin^{2}(\pi x)\cos(2 \pi x)$$ Now I would like to know how I can expand ...
2answers
90 views

How to plot $\lbrace (x+y,x-y) \vert (x,y)\in (-1/2,1/2)^{2} \rbrace$

I want to visualize the following set in Maple: $\lbrace (x+y,x-y) \vert (x,y)\in (-\frac{1}{2},\frac{1}{2})^{2} \rbrace$ Which commands should I use? Is it even possible?
0answers
11 views

How these little information form a new distribution?

How these little information form a new distribution or pdf function in Maple? ...
0answers
44 views

error in maple's CellDecomposition command

I have simple system that I want to put in celldecomposition command of maple. I don't know why maple is giving an error here! The code is ...
1answer
43 views

Determine the matrix in a certain base

I have to determine the $Matrix F$ which describes f in comparison to the base A(a1,a2,a3,a4), and the matrix B - which describes regarding the basis E=(e1,e2,e3,e4) for $R^4$ That is $F =a[f]a$ ...
0answers
43 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: $20$, $200$, ...
1answer
98 views

Is the vector in the span?

I have to show that $a_4$ is in the span of the other 3 vectors $a_1,a_2,a_3$ \begin{bmatrix} 2 &1 & 3\\ 3 & -1 & 4 \\ 1 & 2 & -1 \\ 4 & 4 & 3 \\ ...
1answer
58 views

Maple plot problem

I'm tryin to make a 3D plot of a differential-equation. I already found: \begin{align*} &x_1' = f(t) x_4 - x_2\\ &x_2' = -f(t) x_3 + x_1\\ &x_3' = f(t) x_2 + x_4\\ &x_4' = -f(t) x_1 ...
1answer
104 views

Finding inverse of a function that is mixture of exponentials

How can we find the inverse of this function? $$y=\exp(ax)+\exp(bx),$$ where $a$ and $b$ are constants
1answer
37 views

Finding relations using Maple

Suppose that one has 3 (complicated) functions $f(x)$, $g(x)$, and $h(x)$. I would like to use Maple to find any relations that may exist between these functions. For instance, if it so happens that ...
1answer
51 views

How to change command: g:=(f,n) -> seq( subs(x=i, f) mod 12, i=1..n)?

How to change command: g:=(f,n) -> seq( subs(x=i, f) mod 12, i=1..n)? Maple says: Error, illegal use of an object as a name... I try to create a melody generator that creates desired length of ...
1answer
241 views

Bessel Function in Sturm-Liouville problem

I have the following Sturm-Liouville problem: $$\frac{d^2 y}{dx^2}+\lambda x^2y=0,$$ where $y(0)=0$ and $y(1)=0$. I have solved this using MAPLE and found the exact solution to be: ...
1answer
55 views

Error in Weyl character formula computation.

I need someone with a keen eye for errors. I am trying to use the Weyl character formula for the symplectic group Sp$(4,\mathbb{C})$ on certain matrices coming from 2x2 quaternion matrices. Summing ...
2answers
99 views

Area & Arc Length of $r=1+6\sin(\theta)+\cos(6\theta)$

How do I approach this problem? Graph the following polar curve and show that it cuts out 5 different regions. Find the area of each of those regions. $$r=1+6\sin(\theta)+\cos(6\theta)$$ Also, find ...
0answers
31 views

Maple - turning a list into a 2 dimensional array.

I have an very long list of numbers LIST (196) that I wish to turn into a 14x14 Array but using the convert(LIST,Array) only gives me a 1 dimensional array. In Maple code, this will give me my first ...
1answer
38 views

Maple: How do I show vectors with many elements?

As the header says: How do I show vectors in their full form, when they have many elements? Instead of just seeing some vector data that Maple shows, when the vector is too long: I recall seeing a ...
1answer
128 views

Symbol for derivative in MAPLE

I am trying to use MAPLE to do some computations involving system of equations which terms are derivatives of functions. When I type diff(alpha(x),x) it shows ...
2answers
441 views

Degrees and radians in Maple

Does Maple give the possibility to switch between degrees and radians while making calculations? If so, how do you switch?
1answer
126 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 ...
1answer
28 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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