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Questions on manipulating complicated expressions and making them look simpler using Simplify, FullSimplify and Reduce.
3
votes
1
answer
349
views
Why do I get Floor and Ceiling in my output despite my assumptions
I am trying to simplify the following expression.
Sum[
Binomial[2 k, m] (1 + (-1)^m)/2 Beta[(1 + m)/2, (n - 2)/2]
(Gamma[(1 + m)/2] Gamma[1/2 (-1 + 2 k - m + n)])^2 ,
{m, 0, 2 k}]
Before …
1
vote
1
answer
86
views
simplifying the range of two definite integrals
Today, I tried to obtain the solution of the following equation,
sol = DSolve[ {m v'[t] + \[Gamma] v[t] == \[Xi][t] , v[0] == v0}, v[t], t]
The solution, of course, can be easily obtained and the …
2
votes
Accepted
Simplifying a complex function with assumptions
Try this one.
Assuming[-1 < x < 1, Abs[F[x] + 1/3] // ComplexExpand // FullSimplify ]