8
votes
Accepted
7
votes
Simplify a simply fraction
Until someone finds better solution, you can always use this workaround
ClearAll[x,y,r,A]
Simplify[(x^2 + y^2)/r^2, {x^2 + y^2 == A}] /. A -> r^2
(* 1 *)
...
- 109k
7
votes
Accepted
How can I simplify the output after integration which is obtained in terms of hypergeometric function in Mathematica?
Use exact rational powers.
r1 = ((x^2) + (R - y)^2)^(1/2);
r2 = ((x^2) + (R + y)^2)^(1/2);
P = ((R - y) x^2/r1^4);
U = Integrate[P, x]
$$(R-y) \left(\frac{\tan ^{-...
- 16.2k
6
votes
Simplify Log monotonicity
In addition to:
Resolve[ForAll[n, n >= 1, Log[n + 1] > Log[n]]]
You can try:
...
- 16.2k
5
votes
Accepted
simplifying DSolve output. Exponentials raised to constant
I wasn't able quickly to find an example in which the generalization of the sort of simplification the OP wants is problematic. I recall an instance in which the constant parameters appeared in one ...
- 216k
5
votes
4
votes
The solution for Sinh[] and Cosh[]
If we multiply the arbitrary constant C[1] by I, FullSimplify can do the job if passed the ...
- 33k
3
votes
Accepted
FullSimplify not yielding True for Log[a/b] == Log[a] - Log[b]?
One can use a standard Mma approach of working with logarithms. It is PowerExpand.
PowerExpand treats its expressions assuming all variables are positive. Normally
...
- 35.1k
3
votes
Simplify a simply fraction
Using Reduceand Nasser's suggestion:
Part[#, 2]&@First@Sort[Reduce[{(x^2 + y^2)/r^2 == A, x^2 + y^2 == r^2}]]
(*1*)
- 4,333
3
votes
Accepted
Formal variables no longer simplifying well on new Mathematica version?
These changes go back a few versions and came about in an effort to get series correct in punctured neighborhoods of branch points. A way around it is to provide ...
3
votes
Simplify Log monotonicity
As @Nasser mentioned in a comment, simplification in Mathematica tries to minimize the "complexity" of an expression, which is predominantly measured by ...
- 216k
3
votes
Simplify Log monotonicity
Okay, thank you all for your input. I think the simplest approach for obtaining True is:
...
- 1,049
2
votes
Accepted
2
votes
1
vote
Accepted
Can't simplify expression with square roots of square roots
As @Syed points out:
FullSimplify[PowerExpand[YOUR EXPRESSION], your conditions]
$\left(\sqrt{-4 \gamma _P^2+4 \gamma _Q+1}+4 \gamma _Q+1\right) \sqrt{\sqrt{-4 \...
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