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Aug
1
comment Measure Theory Book
Measure Theory by Pal Halmos is quite good, in my opinion.
Jul
30
comment Contrapositive Epsilon-Delta Limits?
I'm not really sure what you are looking for in terms of validation, maybe what you need to do is rewrite your argument in terms of natural language, in stead of logical symbolism. Everything you wrote is correct, and your conclusion is sound, but it is possible that all of the superfluous notation is confusing you.
Jul
24
comment Can universal instantiation be used more than once?
This may not be particularly interesting to say, but it is indeed that case that, for all real numbers $a$ there exists a real number $c$ such that, for all positive numbers $e$, $e>a+c$.
Jul
23
comment Does every inner product space has an orthogonal basis?
Try by starting with a basis, and from that construct, one-by-one, a basis you can demonstrate to be orthogonal.
Jul
19
answered Are axioms assumed to be true in a formal system?
Jul
7
answered order of dihedral
Apr
7
comment How many non-ordered quadruples satisfy $a+b+c+d=18$?
Your question is equivalent to this one :math.stackexchange.com/questions/169213/… for the case of N=18 and K=4.
Aug
7
comment Is there any function that never gives an answer other than 0/0 when applying L'Hôpital's rule?
I provided the answer before the clarification. Others have now given better examples.
Aug
5
answered Is there any function that never gives an answer other than 0/0 when applying L'Hôpital's rule?
Aug
5
comment Adjustable Sigmoid Curve (S-Curve) from (0,0) to (1,1)
I'm not sure if it has the analytic properties that you want, but the CDF of a beta distribution is pretty versatile and meets your explicit requirements.
Jul
16
answered Generating Bifurcation Animations
Jul
11
awarded  Scholar
Jul
11
accepted Graph of continuous function from compact space is compact.
Jul
10
awarded  Student
Jul
10
comment Graph of continuous function from compact space is compact.
All right, I cannot say I'm terribly satisfied (I've been trying to find some way to make this work for almost a day now), but that does ease my mind. Thank you.
Jul
10
asked Graph of continuous function from compact space is compact.
May
4
comment What explains this bizarre behavior?
It is somewhat reminiscent of the logistic map, which is a typical example of chaos in fairly simple systems.
May
2
awarded  Commentator
May
2
comment How did Euler and Bernoulli prove this limit?
There is a pretty nice proof for why the above expression is equal to $\sum \frac{1}{n!}$, but that is really just a conversion between two definitions of $e$.
Apr
23
comment genetic algorithm binary encoding
I think that the GA should converge to giving low fitness values to elements with the wrong sign bit. As you suggested, the problem is somewhat less with two's compliment, as flipping a bit leads to a change of at most $2^{n-1}$ (n is the number of bits), whereas using the sign bit would allow the value to change by $2^n$ if the sign bit was flipped.