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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60 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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2answers
180 views

How to compute the the basis of the Null space in Maple

Can any one tell me how to find the basis for the Null space of a matrix A in Maple? I mean, If A is any Matrix of real numbers, then I want to compute the basis of the subspace Null(A). Thanks to ...
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1answer
72 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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3answers
138 views

Create animation of parametric plot

I would like to create an animation of parametric plot. With a moving point on curve. The parametric functions are: x(t) = ...
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2answers
169 views

Simplify a recursively defined function in Maple

I have the following problem. Out of the runtime analysis of an divide and conquer algorithm I got the following formula for the necessary flops: ...
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1answer
101 views

Simplify a recursive function in Maple

I have the following problem. Out of the runtime analysis of an divide and conquer algorithm I got the following formula for the necessary flops: ...
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4answers
270 views

How can I change background color of plot in maple?

Please help me, I have two functions: a := x^3+x^2-x; b := 20*sin(x^2)-5; and I would like to change a background color and fill the areas between two curves. ...
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3answers
1k views

Find intersections of two functions in Maple

I have two functions $f$ and $g$ defined as: $c:=x^3+x^2+x$ $d:=20\sin x^2-5$ I am trying to find the intersections of these using Maple $16$. How would I do this?
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2answers
143 views

Maple - finding constant coefficient in multivariate polynomial

Is there a command relevant to finding the constant coefficient of any term in a multivariate polynomial in Maple? For example. If I have p=2*x*y^2+3*x^2*y. Then I want to specify a monomial ...
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1answer
148 views

which algorithm do maple use to calculate summation from zero to infinity

when calculating generating function, there is a need to do summation of , summation(f(x)*z^n/n!, n=0..infinity) what algorithm do maple use to do this awesome ...
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1answer
62 views

Postfix notation in MAPLE

I usually use MATHEMATICA as a computer algebra system and there I heavily employ the postfix notation (achieved by "//" at the end of some command), e.g. ...
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0answers
61 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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2answers
63 views

multi variable integration in maple

In my research project, I needed to evaluate a multi-variable integration in maple. for example: $\int(\int(\sqrt(x^2+y^2)dxdy\\ D: {(x^2+y^2 <= 2y) ,( y<=x ) , (x,y >0)}$
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2answers
230 views

Finding relative extreme points and saddle point (Maple)

Searching the site, I have found some problems related to my question, for example this one. But, I want to know how to make codes in Maple to find these points. I could make the following codes as ...
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2answers
222 views

secant method in maple

secant method in maple. Find a root of the statement $x^3-3x^2+4x-1=0$ with the initial value $x_0=0$ and $x_1=1$ with 5 digits point approximation.
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1answer
223 views

Newton Divided Difference Method of Interpolation in maple

Does anyone know how one can do this in maple? find Newton divided difference interpolation polynomial for the function cos2x the points {1, 0.6, 0.3, 0.1, 0}
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3answers
222 views

how to convert to a rational number with some decimal from base 10 to base 2

It is very eazy to convert an integer number to another base, say 2, using Maple. Can anyone tell me how to convert a rational numbers with several decimals from base 10 to other bases In maple? Well, ...
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2answers
268 views

Plotting parametric equations in Maple

I have the following problem. Let $\alpha:=\alpha(v)$ and $\beta:=\beta(v)$, where $v\in\mathbb{R}$. Using MAPLE, I would like to plot $\alpha$ and $\beta$ in the $(\alpha,\beta)$ space as $v$ varies ...
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2answers
87 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 ...
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1answer
57 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 ...
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1answer
73 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: $\underline{Z} = 600 \cdot e^{-j45^\circ}$
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1answer
88 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 ...
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3answers
282 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 ...
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1answer
227 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 ...
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1answer
93 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, ...
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2answers
114 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 ...
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1answer
91 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 ...
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2answers
39 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 ...
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0answers
95 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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2answers
105 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 ...
2
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1answer
717 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, ...
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2answers
210 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.
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1answer
114 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?
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2answers
62 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
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1answer
92 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: ...
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1answer
109 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} & ...
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1answer
55 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 ...
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1answer
1k 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) + ...
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2answers
201 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: ...
4
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3answers
300 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 ...
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1answer
60 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]] ...
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2answers
334 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 ...
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2answers
271 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 ...
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1answer
234 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 ...
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2answers
96 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?
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1answer
54 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 $F =a[f]a$ ...
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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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1answer
411 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 \\ ...
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1answer
119 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 ...
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1answer
206 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