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seen Aug 28 at 22:43

Aug
17
revised Solving linear non-homogeneous integral equation
more specific title
Aug
17
suggested suggested edit on Solving linear non-homogeneous integral equation
Jul
15
awarded  Yearling
Apr
30
awarded  Necromancer
Apr
17
comment Is it possible that “A counter-example exists but it cannot be found”
@AsafKaragila, I think Tarsky proved that. This points to relevant material: en.wikipedia.org/wiki/Alfred_Tarski#Mathematician
Apr
17
comment Is it possible that “A counter-example exists but it cannot be found”
@AsafKaragila, Thanks for the information. Geometry is also consistent and complete. That is why I said in my comment that the answer to the question depends on the theory. In some theories if there is a counter example to a statement then it can also be found and the original question can be answer to the negative.
Apr
17
comment Is it possible that “A counter-example exists but it cannot be found”
@AsafKaragila, I don't know what you are talking about and how is that related to my comment. Sorry.
Apr
16
comment Is it possible that “A counter-example exists but it cannot be found”
Isn't it what the Gödel Theorem is about? That if the theory is consistent, then there exists undecidable statements (counterexamples of decidability) but none of them can be proven undecidable, therefore they cannot be found. There are systems that are outside the applicability of the theorem, so the question is incomplete without context (e.g. Natural numbers? Euclidean geometry?)
Dec
24
awarded  Excavator
Dec
24
revised Plotting in the Complex Plane
removed thanks
Dec
24
suggested suggested edit on Plotting in the Complex Plane
Dec
14
awarded  Teacher
Dec
10
revised Is there an analytic approximation to the minimum function?
added 45 characters in body
Dec
10
comment Is there an analytic approximation to the minimum function?
If you take $\log(\exp(kx) + \exp(ky)$, multiply by $k$ and subtract the derivative with respect to $k$ divided by k, you end up with my proposed answer and the troubling $\log 2$ goes away.
Dec
10
answered Is there an analytic approximation to the minimum function?
Dec
7
comment Real approximation to the maximum using Laplace's method integral
Yes, I was able to show in many examples that (either the last two versions) converge to the minimum of the function. (Yes, $x_0$ must be in the interval). In the cases I am interested the function is defined everywhere and the interval is infinite. I am puzzled of what to do with the imaginary part of the result. After all I am looking for an elegant "soft absolute minimum" of arbitrary function. (where the softness is controlled by a single parameter)
Dec
2
revised Laplace integral - Asymptotic expansion
added tex code
Dec
2
suggested suggested edit on Laplace integral - Asymptotic expansion
Dec
2
revised Real approximation to the maximum using Laplace's method integral
added 44 characters in body; edited title
Nov
30
revised Real approximation to the maximum using Laplace's method integral
added 27 characters in body