Hi all

I would like to plot a quadrilaterial (  spherical quadrilaterial)  on the sphere ( the vertices are known)

How can I do this

Many thanks

Hello

I have two vectors of angle Theta and Phi  given by

Theta=[ 0, Pi/3, 2*Pi/3, Pi];

Phi=[ 0, Pi/3 , 2*Pi/3 , Pi,4*Pi/3, 5*Pi/3, 2*Pi, 7*Pi/3];

I would like a general procedure how can I put on the unit sphere only the point 

x=cos(Phi).*sin(Theta);
 y=sin(Theta).*sin(Phi);
 z=cos(Theta);

where

(Theta, Phi) in the set {(0,Pi/3),  (0,Pi),  , (0,5*Pi/3),  

(Pi/3,0),   (Pi/3,2*Pi/3),   (Pi/3,4*Pi/3),   (Pi/3,2*Pi), 

(2*Pi/3,Pi/3),   (2*Pi/3,Pi),   (2*Pi/3,5*Pi/3),   (2*Pi/3,7*Pi/3), 

(PI,2*Pi/3),   (Pi,4*Pi/3),   (Pi,2*Pi) }

can we extract these set of point fro the definition of the two vectors Phi and Theta and then make the plot

of course we use 
Many thanks

Dear all

I would like to minimuze the following function 4 x ^2 + 4 x y  under constraint  16=x^2 y  and both x , y  nonnegative real number 

this is my code

with(Optimization)

Minimize(4*x^2+4*x*y, {x^2*y = 16}, assume = nonnegative)

The result obtained from this code is strange

because when i do directly the computation without maple by substituting y =16/x^2 and simple derivation i get the minimum is at x=2 and so y=4 and therefore the minimum is 48

But as i say using my code I obtained a different solution

whats is the problem occurs in this situation

Many thanks

Dear all

I have n, p two integers greater than one

I would like to minimize the following real number by a fixed positive constant if its possible

(n/(n+p))^(n/p)-(n/(n+p))^((n+p)/p)

Many thanks

Dear all

Let q be  a real  different to one and for a fixed positive integer  n  given also 

Let x and y satisfies the condition

x*y -q*y*x=1

I will assume that the product is not commutative in all my computation

We would like to write the following function using only y

f(x,y)= x*y^n-q^n*y^n*x

all computation done I get f(x,y)=(q^n-1)/(q-1)*y^(n-1)

But how can I get the same result using Maple

Thank you very much for any help