with(plots):
plot3d(sqrt(25-x^2-y^2),x=-6..6,y=-6..6,axes=box)

Notice it doesn't completely go down to the x-axis. 

It can be partially fixed with this

plot3d(sqrt(25-x^2-y^2),x=-6..6,y=-sqrt(25-x^2)..sqrt(25-x^2),axes=box)

but due to bugs in earlier versions of maple I can only achieve this

I need someone with a keen eye for errors. I am trying to use the Weyl character formula for Sp(4,C) on certain matrices coming from 2x2 quaternion matrices. Summing these traces in my case should give an integer output (since they are supposed to represent dimensions of spaces of modular forms)...however I am not getting integers.

In particular I have a quaternion algebra (which for now is just Hamiltons quaternions) and a maximal order. The units of this maximal order (which form the list A...

eqn := y^2 = x^3 + a*x  + b

where a and b are summation of things, or constant

if use convert(eqn, ratpoly) to get a ratpoly

can it be used to guess gf using guessgf directly?

or

convert ratpoly to differential equation and then calculate eigenfunction and calculate generating function?

numeric_de.mw

hello boffins

if my de was soluble analytically, I would get an expression of time in terms of the other variables (V,theta,x) easily, but because it is only numerically solvable, i get an expression x(t)=proc(t)...,- the variables V and theta are mixed up in it-. Is there anyway they can appear?

I know I can put numerical values on V and Theta (and x) and solve for time (using parameters...

I would like to have Maple reproduce the well known result that the geometric power series with first term 1 and common ratio x, with |x|<1, converges to 1/(1-x). When I do:

sum(x^k,k=0..infinity);

I get - 1/(x-1). Which is okay, but is there a way to force Maple to produce 1/(1-x)?

Thanks!

I have a function T = x*z(x), that I want to plot.

T should be drawn at the y-axis. But at the x-axis, there should not x be used, but z(x).

It shall look like:

T

¦

¦

¦

¦

¦-------------------------------------- z

Any idea how to do this?

BTW: I read, that Maple 16 has enhanced plotting functions. Is it worth the upgrade or are there just minor goodies?

I'm not sure if u have seen this website http://mathproblems.info/working.php#s99 but i wonder if there is a better way to solve this problem using maple:

#99

It is your task to deliever as much grain as possible from city A to city B. The cities are 1,000 miles apart. You initially have 10,000 pounds of grain. Your camel may carry up to 1,000 pounds and eats 1 pound of grain per mile traveled. You...

Hello,

I am trying to maximize

Hi im trying to get maple to output different combinations from a list of elements ( without using any packages ). 

for example I have a list :

  here each { } is one element and I need to do combinations in 3's soo I want it to return:
  order doesnt matter and I dont want repetitions.
1. {2,8} {2,4,6,7,8} {4,6,8}
2. {2,8} {2,4,6,7,8} {1,4,8}
3. {2,8} {2,4,6,7,8} {1,4,8,9}

Some calculus problems are worked out with the differential formatted as a function prime (f', G', etc.). How do I enter a function with the prime symbol so that Maple will treat it consistently? I recall entering f'(x) once in the legend of a Plot. The legend, as output, was in 2D format d/dx(f(x).

Another variation on my question is this: If I enter diff(x^2,x), or d/dx x^2 in 2D Maple, and calculate, I get 2x. If there a way to enter f'(x^2) to get the derivative?

I have a 2D ode system. Let the interior equilibrium points be x1 & y1. It is easy to get the Jacobian matrix with the code

> with(linalg);
> with(DEtools);
> J := jacobian([H, K], [x, y]);

where H & K are the RHS of odes. But I need the higher order terms by transforming x=x1+u, 

y=y1+v in matrix notation. Please give me the code. 

How to find the sum of the series sum(3^(-n)*floor((1/7)*2^(n+2)), n = 1 .. infinity) with Maple?

A more serious formulation is the following. Let us consider the cartesian product
 {1, 2, 3, 4, 5, 6, 7, 8} x {1, 2, 3, 4, 5, 6, 7, 8} as a subset of the plane xOy. What is its maximal subset which does not include three points belonging to a straight line? How to find this with Maple? I don't know the answer. My hypothesis is the number of the elements of that set is about 10.

Hello,

I have a very basic question: how to make a list of matrices?

For instance, this doesn't work:

for i from 1 to 4 do
M[i]:=Matrix(2,2,[[1,i],[i,i^2]]);

od;

Many thanks!

I am very new to Maple. I would be very grateful if someone could teach me how to write a command in an Maple worksheet to do the following:

Let u(x) be a function of x.

How can I introduce an abbreviation of derivatives so u1x (or u_{1x}) is the first derivative of u(x) with respect to x, i.e., u1x=\partial u/\partial x; u2x (or u_{2x}) is the second derivative of u(x) with respect to x, i.e., u2x=\partial^2 u/\partial x^2; u3x (or u_{3x}) is the third derivative of u(x...