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

Here is the problem. We have the following simple PDE: \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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### integrate very long expression using orthogonality in maple [on hold]

I have very long expression and i must integrate it. i try to apply "orthogonality" on my equations to eliminate "X" and "Y" variables. Image Shows examples of Orthogonal Functions my integral code ...
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### maple table inserted in diff funcion( maple 16) [closed]

I am trying to use maple and I am typing out the following. It appears to give out tables in maple 16. I am not sure how this could be the case. sigma3[rz] := (diff(sigma1(z), ...
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### 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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### 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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### 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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### system of non-homogeneous advection equations

I would like to solve this system $$\left\{ \begin{array}{lll} u_t+b_1 u_x=(r+l_1)u-l_1v,\\ v_t+b_2 v_x=(r+l_2)v-l_2u,\\ \end{array} \right.$$ First , I would like to ...
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### 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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### 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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### How to scale x- and y- axes equally in Maple?

I have the ellipse $\frac{25}{36}x^2+\frac{5}{36}y^2=1$. Maple draws it as a circle: How can I change the coordinates, to make it look like an actual ellipse?
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### Solving equations in Maple, with parameters in a certain domain

I am interested to solve an equation in $z$, depending on parameters $x>0$ and $n\in\mathbb{N}$: Define $H(x,z)=\sqrt{1-4xz}$ and $$G(z)=\frac{1}{1-x-z}-\frac{1-H(x,z)}{2zH(x,z)-H(x,z)+H(x,z)^2}$$ ...
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### 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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### 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. ...
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### How to create lattice diagrame in maple 14?

I am studying lattice diagrame of subgroups of groups and I have already posted one query over here. Now my present query is: I am using MAPLE 14. Can anyone suggest me how to create lattice ...
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### Maple: expanding polynomial not working [closed]

I need to get this: But I get this: Cant get the x^3 which I need. Will someone help please?
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### Maple — Lattice Algorithms

Is there any place online where I can find the code for an algorithm which computes the shortest vector in a lattice? The library only includes the algorithm for LLL.
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### A problem with Maple Polynomial Curve Fitting

I've been encountering a problem while trying to use the method of least squares to fit a quadratic polynomial. Below is the question 1) Use the method of least squares to fit a quadratic polynomial ...
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### free tool for algebraic manipulations of commutator expressions

Is there an (ideally) free tool for algebraic manipulations of commutator expressions of the form: given $$c(A,B):=\tfrac{1}{2}[A,B]+\tfrac{1}{12}[A,[A,B]]+\tfrac{1}{12}[B,[B,A]]$$ simplify (express ...
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### Using Maple to numerically find the unique extremum (“turning point”) of a given function

Given $$f(x) = 5\sin\left(\frac14 x^4\right) -\sin\left(\frac12 x\right)^4$$ Find, to 10 significant figures, the unique turning point of x[0] in the interval [1,2]. Also, I've got to get ...
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### Handling complex arguments of elliptic integrals in Maple

I want to solve the integral $$I(y)=\int_0^y\sqrt{\dfrac{x(1+ax)}{(1+ax)^2-b^2}}\,\mathrm{d}x,\qquad a<0,\; b\in(0,1),\; y>0,\; (1+ax)^2-b^2>0,$$ using Maple 18. ...
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### How to plot the sum of two numerical solutions obtained by Maple?

I have two solutions of nonlinear ODE numerically solved by Maple, and I'd like to add them up to plot it. The third line is obviously wrong, since sol1 and sol2 are data, which cannot be simply added ...
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### How to use Maple's LLL Function to Break a Merkle-Hellman Knapsack

This question probably isn't as hard as the title might imply. I'm working on my crypto final project and have decided to use Shamir's method (using the LLL algorithm) to break knapsack using Maple. ...
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### probability of collision approximation,matlab,maple

I'm working in the field of communication network. I have this equation p=((1-(1-(((2.*(1-2.p))./(1-p-p.(2.p).^m)).(1./Wi))).^(n-1))) I want to solve for p, but I failed(maple and matlab), can ...
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### How do you compute the length of a curve $y^2=x^3 + x^2$

So I came across this question: consider the closed curve C defined by $y^2 = x^3 + x^2\ (-1\le x\le 0)$ i) compute the length of the curve ii) find the area of the surface formed by revolving the ...
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### (Maple) Finding the number of terms of the 2014th Term of Fibonacci Sequence

The Fibonacci sequence is defined by F0 = F1 = 1 and Fn = Fn−2 + Fn−1, n ≥ 2. In Maple, we can define the Fibonacci sequence as procedure: F:=proc(n::nonnegint) option remember; if n<2 ...
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### 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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### Maple problem HELP

I am new to maple and I need help. Let x=x(t) and y=y(t) be functions in t. Suppose that x'=2x−5y+t and y'=4x+9y+sint such that x(0)=y(0)=0. Find y(1). How do I go about doing this question? ...
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### How simplify and expand work in Maple

When I do: expand(sin(5*u)) (1) The output is: ...
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### Difference between two real roots with uniformly distributed coefficents

I have a question that first I need to know what is happening, but then I also need to code it in a program called APPL, which is an extension from Maple18 that I really have never used, yet I have ...
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### Discrete Log Problem

I've been given this key for an elliptic curve crypto -system: A:=4569782456273849 B:=74578265973825694738 p:=164516845864567592349187678956932587156973824569837657473 So the EC group is ...
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### Verifying the Divergence Theorem with Maple - concrete example

Let $\mathbf{F} = x^2 \hat{i} + y^2 \hat{j} + z^2 \hat{k}$ be the flux outward across the boundary of the solid ellipsoid $x^2 + y^2 + 4(z-1)^2 = 4$. I now want to verify with Maple that the ...
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### Export 3d plot in Maple

I have drawn a 3d plot of a sphere in maple, but when I try to export this one in an .eps file, only the coordinate system is shown, but not the colourful plot. The export works if I use jpg and ...
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### Complex solutions of equations in Maple

Is it possible to compute all complex solutions of the equation $$e^z = 1$$ in Maple? That is, I need Maple print all solutions $z=2\pi k I$. What procedure do I have to use? Thank you very much ...
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### isolate a term within an equation in maple

This post is inspired by this thread. Is it possible to isolate a specific term within maple? For example I want to find a/b I apologize I don't know how to write equation in this forum? So I just ...
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### Question about u term in graph-related posts

I am studying the solutions posted by Marko Riedel at http://math.stackexchange.com/questions/689526/how-many-connected-graphs-over-v-vertices-and-e-edges. I am porting some of the techniques listed ...
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### Differential equation in Maple : No solution on $x = -1 .. 1, y = -1 .. 1$.

Backround: Yesterday in class we had a lab session (practical work ?) on ODE and I have a question. We plot the following contour (I am using maple) implicitplot(H(x, y) = 0, x = -1 .. 1, y = -1 .. ...
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### Maple produces only errors

I have Maple 18 installed on linux. I've been following the guide and I got to a point where I'm suppose to right click 2*x-9=0 and solve for x. This fairly simple ...
I'm supposed to generate a sequence of even numbers from $1$ to $100$ in Maple. While this should be very straightforward, I've tried using both a conditional statement within the $\text{seq}()$ ...