# 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.

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### How do you come up with the system of equations to determine the coefficients of the natural cubic splines passing through a given set of points?

Not sure if I'm doing it right, but these are the equations I came up with so far.
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### Can maple solve a nonlinear system of equations?

I have a system of equations, see below. I wonder if it is possible to solve this for three unknowns $x,y, \gamma$ (the $c_i$ are known constants) in a computer program for ex. maple? I do not wanna ...
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### How to simplify an equation and remove the denominator in Maple?

Say I have $$f(x)=\frac{ax+b}{cx+d}$$ I wish to assgin $f(x)=1$ and simplify to have $$ax+b-cx-d=0.$$ How may I do this in Maple? I tried simplify(f=1,x) ...
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### moving frame with maple

I have already ask this question on stackoverflow, but since it concerns as mathematics than computer science, I ask it here too. I would like to make a classical computation using maple. I would ...
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### Maple plot the $l^p$ balls: $\{(x,y) \mid |x|^p + |y|^p \le 1\}$ for $p = 1,…,10$

I have been asked to construct this plot in maple for an analysis assignment. I have been given no other instructions on how to do this. I am not familiar at all with defining or plotting these kinds ...
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### Difference for summation in maple

When calculate the differential respect to $x$ with Maple, I got this result. $$\frac{d^4x^\lambda}{dx^4} = \frac{x^\lambda\cdot \lambda\cdot(\lambda-1)\cdot(\lambda-2)\cdot(\lambda-3)}{x^4}$$ Is ...
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### What will be the maple code to find the values of the exponents of the given function?

I have a mathematical expression of the form $$f(m)=A-B*\left(\frac{m+1}{\psi}+\frac{K1*(1-\beta^{m+1})+K2*\alpha^{m-1}}{K3*\alpha^{m-1}}\right),$$ where $A,B,\psi,K1,K2,K3,\alpha,\beta$ are ...
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### How to simplify expression through assumption of an equation

I want to use MAPLE, a software which is useful to solve symbolic equations. I am new to the MAPLE and I finally reached to implement what I wanted. I have a really difficult expression and I would ...
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### Maple solving inequalities within a range

I have no troubles to solve an inequality using this command: solve(df(x) > 0, x) However, I need to solve it within a specified range (-1..1). Is that ...
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### Try to obtain the exponent of a variable in Maple.

Are there some function $f$ in Maple such that $f(K[1,2]^{1/3}) = 1/3$? Any help will be greatly appreciated!
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### “Invalid sequence” in Maple

I tried to define a procedure in Maple as follows. removeAnElementInList:=proc(i, l) local r, j; r:=[]; for j from 1 to lengthOfList(l) do ( if(j<>i) then r:=append(r, l[j]) end if ) ...
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### How to obtain $K$ in $K[1,2]$ in Maple?

I would like to obtain the letter $K$ from $K[1,2]$ in Maple. I tried to use op(K[1, 2]). But I get $[1,2]$. Are there some function $f$ in Maple such that $f(K[1,2]) = K$? Any help will be greatly ...
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### evalf integration with multiple free constants

How to get numeric value of integration: eq:=int(c*x^(4/5)*exp((1+x)^(1/7)),x=1..2) I tried to do: ...
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### Using rsolve in Maple

I have tried using rsolve in Maple to obtain a recursion formula from an ordinary differential equation with summations. I get Is there some reason for Maple ...
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### Solving a nonlinear algebraic system representing the equilibrium of a system of ODEs

Given the following system: $$a_1+(a_3+a_4)V-a_5WX = 0 \\ (a_7+a_4)Y-a_6WZ = 0 \\ a_2-W(a_4+a_5X+a_6Z)+(a_3+a_8)V+a_7Y = 0 \\ a_5WX-(a_3+a_8+a_4)V = 0 \\ a_6WZ-(a_7+a_4)Y = 0$$ where $a_1$ to $a_8$...
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### What is an equivalent version of maple software in linux?

What is an equivalent version of maple software in linux? From the comment by james, I am editing this post. Maple is not a free version as i have searched in google. I need equivalent versions.. ...
Given the following system of nonlinear ODEs: $$\dfrac{dx}{dt} = Q-qxy + \ell z \\ \dfrac{dy}{dt} = (\ell+v)z - qxy \\ \dfrac{dz}{dt} = qxy - (\ell+v)z$$ and initial conditions: $x(0) = 100, y(0)... 1answer 81 views ### Solve nonlinear systems of trigonometric equations I face the challenge to solve systems of nonlinear equations including trigonometric functions like this one: $$y_1 = x_1 \\ y_2 = x_2 \\ \dot{y}_1 = u_1 \cos(x_3) \\ \dot{y}_2 = u_1 \sin(x_3) \\ \... 1answer 97 views ### factorizing polynomials over finite fields using maple and maxima [closed] Can you factorize polynomials over certain finite fields using maple or maxima, and if so, how? 1answer 88 views ### Maple summation notation issue: differentiating with respect to an indexed value I am trying to solve a summation equation, for the derivative with respect to x[0], where x is a vector of numbers. If I try something like this: diff(sum(x[k]*f(k), k = 0 .. m)+sum(x[s]*f(s^2), s = ... 1answer 20 views ### Maple system of equations in matrix I have three matrices A, B and C. Set of equations like this: A\cdot B=C And I know what A and C are, but I'm looking for B. Sorry for beginner question, but I'm trying to do this entire noon and ... 2answers 112 views ### How to represent this matlab code in mathematical notation? I have this code in matlab: z = linspace(d1,d2,n)*W/t; I am wondering how to express this operation in mathematical notation? I was thinking of something like ... 0answers 75 views ### Solving System of Equations in MAPLE I am trying to solve a system of equations in MAPLE. This is the procedure I'm trying to follow: Guess the solution is a polynomial with constants that still need to be determined. Specify ... 1answer 90 views ### Error, (in sum) summation variable previously assigned Assume that I have a function like this func1 := proc (a) return sum(i, i=1..a); end proc; This function works as long as I don't define a global variable i... 1answer 179 views ### Maple double sums: summation order Suppose we want to compute$$\sum_{k=0}^1 \sum_{j=0}^{2k}{ 2 \choose 2k-j}{2 \choose j}=7$$with Maple (I picked this trivial example only as an illustration).I always thought that the order of ... 1answer 69 views ### How can one sort a list of complex numbers in increasing order with respect to their imaginary part in Maple? I am a beginner at Maple and am attempting to use the sort function to order a list of complex numbers according to their imaginary part, however I can find no function options that help. Will I have ... 1answer 16 views ### Maple zeroth entry of list or some other data structure? Is it possible to change the structure of a list such that the 1st element becomes the 0th? That is, if x is a list then x[0] calls the first element of x. I am writing some pseudo-codes in ... 1answer 45 views ### how to do isomorphic ideal from root system of degree 5 or more [closed] update1 i notice solving 1+x+x^2+x^3+x^4+x^5 have 5 solutions two conjugate real number and each of them having conjugate complex number part i change a*b + c to a1*a2*b1*b2 + c1*c2** still can ... 1answer 57 views ### Cubic polynomial and its discriminant I'm taking a class that is having me research a topic and write a report on it. The assignment is to analyze the relationship between quadratic and cubic polynomials and their discriminants. In an ... 1answer 115 views ### Maple - plotting error I want to plot the following function in Maple 18. p := (x, x0, w) -> exp(-(1/2)*(x-x0)^2/w^2)/sqrt(w*sqrt(pi)) and am attempting to plot it using the ... 2answers 75 views ### Help with grouping terms (maple) I want to collect "coefficients" of polynomial over x in some power, e.g.: p:=a \cdot x^3 + b \cdot x^2 + c \cdot x + d collect(p, x^2) = (a\cdot x+b)\cdot x^2 + (c\cdot x+d) and extract ... 1answer 54 views ### Identify terms in an expression (Maple)| How hard is to program that given a symbolic expression like$$ f = x^2 + y^2 + k \, , $$I could teach to Maple that x^2 + y^2 = r^2 and then it expresses f like$$ f = r^2 + k \, ? $$Of course ... 1answer 86 views ### Help me calculate with maple the gcd of two polynomials I can't calculate the gcd of two polynomials x^2 + (\beta^3 +1)x + \beta^4 + \beta^3 + \beta^2 + \beta and (\beta^5 + \beta^3 + 1)x + \beta^5 + \beta^3 + \beta^2 where beta is the root of x^6 + x ... 1answer 62 views ### Finding eigenvectors by hand I can find eigenvectors by solving$$ (\mathbf{A}-\lambda \mathbf{I}) \, \mathbf{v} = \mathbf{0} $$but isn't it the same as saying$$ \mathbf{v} = (\mathbf{A}-\lambda \mathbf{I})^{-1} \, \mathbf{0} ... 2answers 61 views ### Output assigning in Maple inside for loop I am trying to define some solutions$x_k(t)$inside a for loop in Maple. I have tried but I get an ugly output. I have also tried x[k]:=t-> ... but it makes ... 3answers 48 views ### Finding eigenvectors in Maple gives me variables$t_2\$
I have a matrix $$A = \begin{pmatrix} 0 & -1 \\ -1 & 0 \end{pmatrix}$$ I can find eigenvectors in Maple with Eigenvectors(A) from which I get the ...