Given that
3*(sum(cot(m*Pi/(2*M+1))^2, m = 1 .. M))

is a polynomial of degree r in M, find r and the coefficient of M. (The coefficient is an integer)

Any ideas how to go about solving this problem? When i input this particular indefinite sum into Maple it does not generate a polynomial.

Good morning and evening! I got a procedure f1, which takes two numbers and outputs one. Just a numeric computation. NLPSolve(f1, -1..2, -2..2); Warning, no iterations performed as initial point satisfies first-order conditions but plotting a 3D graph shows me a good, smooth minimum. Setting starting point does not help. It seems that NLPSolve thinks that gradient is equal to zero, but why?

Hi,

I’m quite new to maple so I need a bit of help. I am trying to solve the Navier-Stokes equations (NSE) in 2D along an infinite channel  which has fluid being sucked out of it through the walls.

∂u/∂t + (u∙grad)u=-(1/ρ)grad(p)+ (nu)grad^2u

I need to write down the NSE.
u=(u,v,0) is the velocity of the fluid.
The flow is steady so ∂u/∂t=0.
I need to take the curl of the NSE to eliminate the pressure term as taking the curl of
gradp=0.

hi,

I have two columns as seen below. I want to sort column Y in descending order but I want to                                                                      return the the X value of such a Y value as well.

Hi, Would appreciate some help - Re: checking solutions of the first order DE in Maple? Tried to search in Help, but could only find solutions to 2nd order DE. For instance, when I enter: > ode := diff(y(x), x) = y^2*exp(x); d 2 --- y(x) = y exp(x) dx > solve(ode); I get: Error, (in solve) cannot solve expressions with diff(y(x), x) for x > Many thanks! Antonio

Hi all,

 

What am I doing wrong?

For a single pair of left single quotes, ?name is clear:

Any valid Maple name formed without using left single quotes is precisely the same as the name formed by surrounding the name with left single quotes.

So this is fine:

`x`;
                      x

But what about multiple left single quotes? This help page also states:

If you have a standard math, complicated expression in your Maple worksheet that you would like to include in a blog in this venue, what's the most economical way to copy & paste it?

Alla

Hi guys. I hope i do this correctly... So I want to have this: f(p) := proc( p ) if p::even then print(((((p)!)/((2^(p/2))*(p/2)!))^2)) else print(0) end if end proc: as an initial condition, b[p,0], for an array, b := array(0..500, 0..500). It doesn't work if I just do a for loop. At least I don't think it works; say I do for p from 0 to 500 do b[p,0] := proc( p ) if p::even then print(((((p)!)/((2^(p/2))*(p/2)!))^2)) else print(0) end if end proc od: Then when I try b[4,0]; it just returns b[4,0], and not 9.