# 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.

169 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 ...
61 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 ...
122 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 ...
160 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 ...
206 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 ...
840 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 ? ...
141 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 ...
60 views

### Maple simplification incorrect?

I'm using Maple 16 to help me in some tedious computations. I wanted to evaluate the following thing: $\sum_{i=1}^k\left(\left(\frac{1}{2}\right)^{l+i-1}\cdot\binom{l+i-2}{i-1}\cdot(k-i+2)\right)$ ...
79 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), t)...
460 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 ...
160 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, ...
459 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) = (1/2)*exp(-(1/2)t)((160/11)*sin((1/2)*sqrt(11)*t)*sqrt(11)+20*cos((1/2)*...
408 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: ...
387 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: ...
965 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. ...
7k 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?
677 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 term(x*...
243 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 ...
90 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. ...
71 views

### multi variable integration in maple

In my research project, I needed to evaluate a multi-variable integration in maple. for example: $\int(\int(\sqrt(x^2+y^2)dxdy\\ D: {(x^2+y^2 <= 2y) ,( y<=x ) , (x,y >0)}$
751 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 ...
610 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.
603 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}
619 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, ...
723 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 ...
164 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 ...
76 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 ...
104 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: $\underline{Z} = 600 \cdot e^{-j45^\circ}$
107 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 ...
546 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 ...
531 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 ...
322 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, ...
161 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 ...
768 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 ...
47 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 ...
256 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 ...
167 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 ...
2k 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, ...
672 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.
266 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?
92 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 ...
205 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: ...