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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Derivative of polynomial division in Maple

This is proably a beginner's question about Maple. I'm trying to use Maple to differentiate: $$\frac{(z^2-1)^2}{(az-1)(z-a)}$$ Where $a$ is a constant. On the first line, is there a way to ...
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1answer
64 views

solving the pde $U_t(x,t)=U_{xx}(x,t)-b(t)U(x,t)+q_0$ for $U(x,t)$ using maple

I have the pde $U_t(x,t)=U_{xx}(x,t)-b(t)U(x,t)+q_0$, where $b(t)$ is a function of only $t$ and $q_0$ is a constant, $0<x<\pi$, $t>0$. I also have some boundary conditions: $U(x,0)=0$ and ...
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2answers
101 views

How to show a limit exist in maple?

Im trying to show $ \lim_{x \to 0}\frac{\sin(\sin(2x)^2}{x^2} = 4 $ in maple, but I am not getting it. This is what I have
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2answers
228 views

Perfect numbers less than 10 000

Im trying to find perfect numbers less that 10 000. I was told that the best way to do this is by using maple, but I don't know how to use latex except the basics like graphing. Can someone help me do ...
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1answer
107 views

Hermite Integration problem 1

Hey I am trying to calculate this problem of Hermite polynomial by hand, but I think it's way easier to do on Maple, so can anybody help me write the Maple code: Let $f(x) = 3xe^x - e^2x$. a) ...
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1answer
144 views

Animations on Maple [closed]

I'm working on some textbook problems for Maple, and I encountered the following problem: Create an animation to illustrate the differences between line thicknesses in Maple (you can choose any ...
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1answer
402 views

The Intersection of Two Implicit Functions in Maple

How would I find the intersection between the system of equations $2x^4-2y^3+y=0$ and $2x^2y+3y^4-2x=0$? The section in my book hasn't covered plot3d yet, so I was ...
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1answer
56 views

Running multiline Maple program

I am working on the question below, which I have copied from a PDF file. I have determined what the program does (Euclidian algorithm), but I need helping running the actual program. I am instructed ...
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2answers
590 views

Why is `evalf` not working?

Why is evalf not changing $\pi$ and $e$ to floating point in the following: ...
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3answers
130 views

How do I plot a bunch of vectors in Maple and find the difference and cross product between them?

Title says it all. This is the assignment I'm trying to do. http://math.rutgers.edu/~shtelen/Teaching/Fall-2013/L1_instr.pdf Data I need to plot ...
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40 views

Changing Rational Expressions into a Sum (or Difference) of Rational Expressions in Maple

Given $\dfrac{x^4+x^3-4x^2-4x}{x^4+x^3-x^2-x}$, is there a way to make it into a sum or difference of rationals such as: $\dfrac{x^2}{(x-1)(x+1)}-4\dfrac{1}{(x-1)(x+1)}?$ I've tried using ...
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2answers
62 views

Maple Conversion Command

I am aware Maple has many commands of the form convert(a,b), where $a$ is usually an expression and $b$ can be a lot of different things, such as ...
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1answer
203 views

Problem with Newton's Method

I am trying to solve this problem: Use Newton's method to find the intersection points of the two circles defined by $$x^2 + y^2 = 2, \quad (x-1)^2 + (y+1.5)^2 = 1.$$ I used this code in ...
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3answers
332 views

How to find the $n^{th}$ digit (in Maple)

Given a number, such as $5^{9^6}$, how would I find the $n^{th}$ digit? (say the $87^{th}$ digit) I considered the "Digits" command, but that only controls the amount of digits after the decimal, so ...
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1answer
558 views

how to plot sequence of partial sums in Maple

I've seen other questions and tried to use internet and the built-in help but I'm still at a loss. Given the sequence seq((n,1/2^n),n..20)), I want to plot the corresponding sequence of partial sums, ...
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0answers
58 views

what is the algorithm to calcuate max and min in piecewise function

maple code convert(max((2-x)/3, x+1), piecewise); convert(min((x+1)/3, 1-x), piecewise); i feel that above command is very powerful and complicated, and would ...
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1answer
59 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} ...
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1answer
103 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 ...
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1answer
80 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
101 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
113 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
50 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
94 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
133 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 ...
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1answer
161 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
496 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
98 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
52 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
72 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
262 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
90 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
215 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
235 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
173 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
486 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
2k 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
279 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
170 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
69 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
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
393 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
294 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
351 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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355 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
415 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
123 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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64 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
77 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
94 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
375 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 ...