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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2answers
14 views

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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2answers
34 views

“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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0answers
29 views

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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1answer
39 views

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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1answer
21 views

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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1answer
35 views

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 ...
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0answers
81 views

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 ...
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1answer
33 views

Maple combstruct

How do I implement pointing in Maple with combstruct? I'm writing a symbolic generating function and I need to do something along the lines of A = Point(B) where Point would be a pointing operation, ...
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1answer
55 views

Solving a small system of nonlinear ODEs to identify parameter regime

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, ...
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1answer
70 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) \\ ...
2
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1answer
86 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?
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1answer
79 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 = ...
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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 ...
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2answers
111 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 ...
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0answers
69 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 ...
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1answer
65 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 ...
0
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1answer
148 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 ...
2
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1answer
66 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 ...
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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 $1$st element becomes the $0$th? That is, if $x$ is a list then $x[0]$ calls the first element of $x$. I am writing some pseudo-codes in ...
-1
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1answer
44 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 ...
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1answer
56 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 ...
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1answer
106 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 ...
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votes
1answer
63 views

mathematica / maple

I have an expression of products and divisions of q-binomials. I want to check if the expression is always greater than 1. Is there a way I can do that with matlab/ mathematica/ maple?
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2answers
69 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 ...
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1answer
49 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 ...
2
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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 ...
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1answer
56 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} ...
2
votes
2answers
58 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 ...
1
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3answers
42 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 ...
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2answers
29 views

Evaluate 'symbolic'/expanded in Maple

When I write 'x(t)'=c[1]*exp(0*t)*(cos(omega*t)*<0,1>-sin(omega*t)*<-1,0>)+c[2]*exp(0*t)*(sin(-omega*t)*<0,1>+cos(-omega*t)*<1,0>); in ...
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1answer
26 views

To find the real conjugate (Maple Procedure)

I'm trying to write a procedure which returns the real conjugate of a real number. Ex: $2 + \sqrt3 \rightarrow 2 - \sqrt3$ I tried: ...
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votes
3answers
62 views

How to set a function value or expression over a domain in Maple

I have a function $f(x,y,z)$ and would like to impose the condition $$f(x,y,z)|_{x^2+y^2<1}=x-y$$ That is, $f$ is set to be equal to $x-y$ within the unit circle in the xy-plane. How would I ...
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1answer
84 views

Problem with initial conditions and partial differential equations in Maple

I am new to Maple, trying to see how do I add initial conditions to a system of partial differential equations. Here is an example problem, which has some error in it. What is wrong? This appears on ...
0
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1answer
33 views

Problem with initial conditions in Maple

I am new to Maple, trying to see how do I add initial conditions to a system of differential equations. Here is an example problem, which has some error in it. What is wrong? This appears on the ...
1
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1answer
84 views

how to find coefficient c1, c2, c3, c4 of a polynomials of degree 4 from resolvent

if not starting from standard resolvent of each degree and use (y-x1...)(y-x2...)(y-x3...) and group theory how to find corresponding c1, c2, c3, c4 of polynomial x^4+c4*x^3+c3*x^2+c2*x+c1 which c1, ...
0
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1answer
35 views

Assign variables in Maple

I have an equation $$ y = 2 x+400 $$ Can I with Maple multiply the slope ($\alpha=2$) with a factor $k$ without affecting the intersection ($\beta = 400$)? Can I eventually let Maple assign ...
1
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1answer
80 views

The derivative of piecewise-defined function gives undefined in knot point

I have defined a (rather simple) piecewise-defined function in Maple. But when I am finding the derivative to the piecewise-defined function, it suddenly sets the 'knot point' as undefined even ...
0
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1answer
85 views

Draw multiple plots in same plot with Maple

I have a procedure in Maple ...
2
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1answer
145 views

Plotting Intersecting 3D Regions in Maple

I am brand spanking new to Maple (just downloaded tonight) and I'm also taking a course in multivariable Calculus. One of the reasons I downloaded Maple was because I'm having an extremely difficult ...
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vote
2answers
63 views

Maple not able to calculate Bernstein polynomial

Hope you can help me on this one. Please look at this simple Maple code: Obviously $B(1)=g(1)=4 \neq 0$. Why is Maple not able to compute this right? Am I doing something wrong? Kind regards PS: ...
3
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1answer
130 views

PDE: solving Fokker-Planck equation with initial and boundary condition

Here is the problem. We have the following simple PDE: \begin{equation} \frac{\partial p(x,t)}{\partial t}= - a\frac{\partial p(x,t)}{\partial x} + \frac{D}{2} \frac{ \partial^2 p(x,t) }{\partial ...
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2answers
59 views

Spacecurve of intersection between surfaces

Problem The spacecurve of intersection between the surfaces $opp$ & $\alpha$ (above z=3) has to be found, i.e. the intersection of the blue and green surface, above the red pane (z=3). Plots ...
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1answer
62 views

In Maple, how can I partially factor a lengthy symbolic expression (23 terms in 6 variables)?

I need to show that the following expression, $$a^3b-a^3c+a^3z+a^3x+a^3y-a^2bx+a^2by+a^2cx-a^2cy-a^2zx+a^2zy-a^2x^2+a^2y^2-abcz-abcx-aczx-acx^2+b^2c^2+2bc^2x+c^2x^2-b^2c-2bcx-cx^2,$$ is positive ...
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2answers
47 views

Function in Maple giving weird plots

In Maple I have defined a function If I plot within $Q \in [0,100]$ I get but I get the exact same plot with other boundaries and if I use $Q \in [0, 10^{-10}]$ I get How can this happen? ...
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0answers
34 views

Riemann Tensor in Particular Frame

I'm trying to reproduce a calculation which requires computing the Riemann tensor in a particular frame specified by some vierbein $e_a$. I have a complete expression for the spacetime metric in some ...
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0answers
107 views

system of non-homogeneous advection equations

I would like to solve this system \begin{equation} \left\{ \begin{array}{lll} u_t+b_1 u_x=(r+l_1)u-l_1v,\\ v_t+b_2 v_x=(r+l_2)v-l_2u,\\ \end{array} \right. \end{equation} First , I would like to ...
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1answer
28 views

Problem with integrating to find volume

I want to calculate the volume of the hyperboloid between the two planes: $hyp:{x}^{2}+1/4\,{y}^{2}-{z}^{2}=5$ $plane1:=z+x/2+3=0$ $plane2:=z+x/2-3=0$ Because of symmetry, I confine my bounds to ...
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1answer
45 views

How do I display this quadric (in $\mathbb{R}^3$) in maple?

$x^2+y^2+z^2+2xy+2xz+2yz-x-y-z=6$ I'm struggling to draw a quadric in maple. I've tried the plot and plot3d functions, but it didn't work.
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1answer
39 views

how to get maple to do linear algebra in Z_2 (integers modulo 2)

how to get maple to do linear algebra in Z_2 (integers modulo 2) I don't want it to solve and then reduce mod 2 I want it to work over Z_2 so basis([ [1,1,1], [1,-1,1 ]) = [1,1,1] If this is ...
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1answer
45 views

Maple Help format output collect terms with same coefficients and multiple variables

I realize this may have been asked before, however I have no idea what to search for specifically, since the topic is so generic it returns so many results that I cannot find what I am looking for. ...