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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 …
Sungmin's user avatar
  • 2,305
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 …
Sungmin's user avatar
  • 2,305
2 votes
Accepted

Simplifying a complex function with assumptions

Try this one. Assuming[-1 < x < 1, Abs[F[x] + 1/3] // ComplexExpand // FullSimplify ]
Sungmin's user avatar
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