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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1answer
62 views

Maple command for algebraic combinaiton of polynomial in $\mathbb{Z}_p[x]$

Let $F(x) , f_1(x),\ldots, f_r(x)$ be polynomials with coefficients in $\mathbb{Z}_p$ ($p$ is odd prime) Is there a Maple command to determine if$$ F(x) = a_1(x)f_1(x)+\dots+ a_r(x)f_r(x) \pmod{p} ...
1
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1answer
114 views

help to write the Mathematica or Maple code for $\log(1+x)$ as MeijerG

I am having difficulties working with some integral and I believe that if the natural logarithm in that integral is converted to its MeijerG equivalent, then it will be solved easily. can somebody ...
2
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1answer
86 views

removing items from a list in maple based on another list

So I am new to maple and need to write a procedure that given one list removes the entries of that list from another. ...
2
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1answer
116 views

Finding gcd of polynomials with extra parameter in Maple

My problem is that I have two functions in two variables, say $x$ and $y$. The functions are both polynomials in $x$, but sometimes $y$ appears in an exponent. What I want to do is find the gcd of ...
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0answers
129 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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1answer
52 views

How to code in Maple for testing a sequare Matrix

I am writing a procedure in Maple for doing some optimization. Really now I want to ask Maple whether the Matrix is 2x2 or 3x3 or 4x4 and so on. And in each case of these matrices I am going to do ...
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1answer
99 views

How to make a procedure in Maple

Let the matrix $A$ be a linear map (let us take $A$ to be square matrix), and we want to solve $Ax=y$ for any $y$ in range of the linear map $A$. Can anyone help me with the code of ...
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2answers
140 views

Find the infimum of $f(x,y)=\tfrac{1}{2} x^2-\tfrac{1}{2} xy+\tfrac{1}{4}y^2$ on the line $\langle t,-2t+4\rangle$ in Maple

If we have the function $$f(x,y)=\tfrac{1}{2} x^2-\tfrac{1}{2} xy+\tfrac{1}{4}y^2$$ and we want to find the infimum of $f$ at the vector $X=\langle t,-2t+4\rangle$ where its components are the $x$ and ...
0
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1answer
170 views

how to calculate the quotient of two permutation group

G/N i guess G and N are both permutation group however, i can not find command in maple to do quotient there is really a quotient command in maple, however it is for polynomial how about quotient ...
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4answers
606 views

Plotting in maple/MATLAB

How do you plot the following parametric equation (equation of an ellipse) in the same graph $$ x = a\cos{t} $$ $$ y = b\sin{t} $$ with varying value of $a$ and $b$ in either maple or MATLAB ? ...
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4answers
117 views

How can we know the range of linear map?

If we have a linear map A, that is Ax=y, then certainly that A has a domain and range, so my question is: how can we know what the domain and the range of the linear map A are? and, How can we find ...
2
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1answer
53 views

Maple simplification incorrect?

I'm using Maple 16 to help me in some tedious computations. I wanted to evaluate the following thing: $\sum_{i=1}^k\left(\left(\frac{1}{2}\right)^{l+i-1}\cdot\binom{l+i-2}{i-1}\cdot(k-i+2)\right)$ ...
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0answers
76 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
327 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 ...
0
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1answer
125 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
279 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
284 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
241 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: ...
2
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4answers
679 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
4k 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
379 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 ...
3
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1answer
207 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 ...
0
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1answer
74 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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2answers
66 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
496 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
374 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
428 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
442 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
510 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
135 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
67 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
85 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
102 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
435 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
389 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
196 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
136 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 ...
0
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1answer
482 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
43 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
173 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
149 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
1k 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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3answers
449 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
184 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
84 views

How to plot two unknowns in maple 14?

This doesn't works in Maple 14. Why? How can I plot this function? $$\text{plot}\left(\frac{x^2 \cdot y^2}{x^2+y^2},x,y = -\infty .. \infty\right);$$ Here's the original function (where is it ...
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1answer
138 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
119 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
57 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
2k 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
389 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: ...