18,713 reputation
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bio website people.math.osu.edu/edgar.2
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visits member for 5 years, 7 months
seen 22 mins ago

8m
comment A book for problems in Functional Analysis
I looked for books at Amazon, and found that "functional analysis" is a topic in psychology, with more books than the same-name topic in mathematics...
15m
comment Do non-normal states exist in the Solovay model?
Perhaps we need a definition or reference for: state, normal state.
May
22
answered Slightly weakened / altered concepts of a field
May
21
comment I cannot solve this question! HELP
See "help" above to discover what questions are appropriate here.
May
21
comment Differential Topology over $\mathbb{Q}$
For example, an uncountable disjoint union of copies of $\mathbb Q^n$. So the requirement may as well be that the whole space is countable (as Simon assumes).
May
21
comment Differential Topology over $\mathbb{Q}$
Also, we need a definition of "rational manifold". Without paracompactness you could have some sort of "long line" not of the same cardinal as the "short line" $\mathbb Q$.
May
21
comment Differential Topology over $\mathbb{Q}$
So "differentiable" means differentiable at each point of the domain? So the differential may vary from point to point? And need not depend continuously on the point?
May
20
comment Find the expansion of the exact solution (beyond Taylor)
@Carlo: He says limit $S \ll 1$ ... so you claim that is a mistake and he intends $S \to \infty$ instead?
May
20
comment Are there examples of functions in $L_1$ and $L_\infty$ whose Fourier series divergent (“weakly”)?
@user228494: Uniform boundedness principle. An interesting method to show existence. But your question asks for "some examples" and UBP is not the way to produce explicit examples.
May
18
answered When Banach indicatrix is measurable?
May
18
comment $L_{\infty}$-norm of a $\delta(t)$-“function”?
If you take a sequence $\phi_n$ of functions that converges to $\delta$, then $\|\phi_n\|_\infty \to +\infty$. Another reason that (as nate said) $\delta \not\in L_\infty$.
May
8
revised What is a “generalized zeta function”?
added 72 characters in body
May
8
answered What is a “generalized zeta function”?
May
8
comment Are measurable homomorphisms $ (\Bbb{C},+) \to (\Bbb{C},+) $ or $ (\Bbb{C},+) \to (\Bbb{C},*) $ continuous, and do they admit an explicit description?
To avoid confusion, instead of "Baire measurable" we can say "a map with the property of Baire".
May
8
comment Are measurable homomorphisms $ (\Bbb{C},+) \to (\Bbb{C},+) $ or $ (\Bbb{C},+) \to (\Bbb{C},*) $ continuous, and do they admit an explicit description?
"Measurable", with no qualification, means: inverse images of an open set is a Lebesgue measurable set. Did I guess what you mean?
May
7
comment Transcendence of solutions of $\sum_{i=1}^n a_i b_i^x = 1$
Of course the solution of $$ \left(\frac{1}{3}\right)^x + \left(\frac{3}{4}\right)^x = 2 $$ is rational, and the solution of $$ \left(\frac{1}{3}\right)^x + \left(\frac{3}{4}\right)^x = \frac{13}{12} $$ is rational. And of course there are many more like this. So any proof that your number is transcendental seems unlikely to me. See? I can do "seems to me" statements, too.
May
6
comment Is there a simple description of this group?
title changed..
May
6
revised Is there a simple description of this group?
edited title
May
4
awarded  Nice Answer
May
2
awarded  Nice Answer