My professor wants us to verify the following

(p \/ q) V r = p V (q \/ r)

using the following Maple equivalent statement

with(Logic):

Equivalent(a &and (a &or b),a);

The issue I have is I really do not know that the statement is asking for and where it would go. 

Thanks in advance for any help.

Int(exp(-1/100+1/1000*I*u)/(4*u^2+1)*exp(1/2*I*u),u = 0 .. 1)

The integrand has positive real and imaginary parts over the
range (just use plot it) and numerical evaluation gives it as
0.53434219089626 + 0.98249392969436e-1 * I (using Digits:=14).

A symbolic integration and using evalf gives the same.

Now writes this as

  tstData:=[a=0, b=1, m=1/2, b0 = -1/100, b1 = 1/1000];

  J:=Int(exp(b0+b1*u*I)/(4*u^2+1)*exp(u*m*I),u = a .. b);
  eval(J,tstData...

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Hi,

I would like to find the optimal values of the parameters  [ w,  a ,  b ]  in a GARCH(1,1)

I however have some problems specifying the Maximize function in the Optimization package

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I have attached the workshet and the data

Download 8342_GARCH-Yen Data Hull.xls
View file details

Hi There,

Here's the problem: I'm trying to tiple-integrate rst e with the limits...
t=r-s...r+s
s=r...∞
r=0...∞

This is a straighforward integral with the use of the gamma function

∫₀ xe dr = Γ(n+1)/a

and my copy of Maple v11 crashes before it yields the answer.

I have been looking at integrals of various summations of cos(m*pi) for m = 1, 2, 3, .....a specific n with limits -1 and 1.  Currently, when maple provides an answer it contains numerous terms of the form sin (m*pi) for some m.  Clearly all these terms should = 0 which would simplify the answer greatly, but maple does not seem to recognise this.  Is there a way of forcing maple to recognise that all these terms should be 0.  I have tried the eval, evalf and value functions but none of these seemed to help.