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The MRB constant Z will probably have several parts.

The following example is from the Maple help pages
> with(GraphTheory);
> with(SpecialGraphs);
> H := HypercubeGraph(3);

DrawGraph(H)

Download May262012.mw

consider the line y=-x+1 on xy plane. the shortest line from the origin to y=-x+1 intersects with it at (x*,y*)=(0.5,0.5). Confirm this result by formulating and solving and optimization problem. 

I want to write the equation of the line which passing the two point A(1, 1) and B(m+1, -2*m + 2) by using LinearAlgebra, but i can not write. Please help me. Thank you.

So basically I'm trying to slice a tesseract, with a 3D surface but first want to be able to slice a cube, with a 2D plane. so I have a 3D plot of a polygon of a face (of a cube) and I want to find the intersection of that with a plane. intersectplot doesn't seem to be working for me, and I'm unsure of how to represent a finite face of a cube as a plane

Let r is radius of circle inscribed and R is radius of circle circumscribing atriangle ABC.

Prove that p[tan(A/2)+tan(A/2)+tan(A/2)]=r+4R where p=(1/2)(a+b+c).

Problem. Let A(-1,5) and B(-2, -2) be two points and l: 3*x - 4*y -27 = 0. Write the equation of the circle passing through points A, B and tangent to the line l.

This is my code.

Restart: with(geometry):

point(A,-1,5):

point(B,-2,-2):

point(C,5,-3):

circle(ABC,[A,B,C],[x,y]):

sort(Equation(ABC)):

tangentpc(l, ABC,C):

sort(Equation(l)):

point(T,a,b):sys:=solve([distance(T,A) = distance(T,B), distance(T,A)=distance(T,l)],[a,b]):

Please write for me a code with following problem:

Write the equation of the plane wich passes through the two points A(2, -1, 0), B(0, 1, -2) and makes an angle 60 degrees with the plane x + 2y +z + 4 = 0.

Thank you very much.

Pease write for me a code with problem:

Find the equation of the plane (P1) which passes through the point M(1; 2; 3), perpendicular to the plane (P2): 5x -2y +5z + 10 = 0 and make an angle 45 degrees with the plane (P3): x - 4y -8z = 0.

Thank you very much.

raw_panel_cuttin.doc

 Given a large rectangular wooden panel, you want to cut specific quantities of smaller rectangles from it.

How can the ?DifferentialGeometry package be used to apply a vector (derivative) to a scalar?  I thought Hook might be used here, but I don't know that there is a way to express a scalar as a 0-form.  Consider

with(DifferentialGeometry):
DGsetup([x,y],E2):
Hook(D_x, x^2);
Error, (in DifferentialGeometry:-Hook) expected 2nd argument to be a differential form or bi-form. Received x^2

 Hi all,

I'm trying to use the geometry module. I tried the following code:

> with(geometry);
> point(A, xA, xB);
A
> point(B, xB, yB);
B
> line(AB, [A, B]);
line: One of the following conditions must be satisfied xA-xB <> 0 xB-yB <> 0
Error, (in geometry:-line) not enough information: the line is not defined

As you can see, maple is unable to create the line object since the two points can be the same....

Ive tried several commands, but none of them will give me a response

Here are the points im working with:

u = (2, -3, 1), v = (-4, 3, 3), w = (2, 4, 6)

And here are the several commands ive tried to use, with "with(LinearAlgebra), with(geom3d)" implemented before:

1. 

volume([2, -3, 1], [-4, 3, 3], [2, 4, 6], parallelepiped)

> with(plots, display);
> volume;

display(parallelepiped, axes = normal, scaling = constrained, orientation = ...

Hi!

I'm studying submanifolds of (semi)-riemannian and trying to look at some examples with Maple using it's great DifferentialGeometry package. But there's one thing I can't figure out. How can I define a pullbacked tangentbundle along the embedding map? Let me be more specific:

I have a manifold S, a manifold M and a map i: S -> M.

I realize this in Maple with: DGsetup( [...], M ); DGsetup( [...], S); i:=Transformation(S,M,[...]);

There...