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visits member for 5 years
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1d
asked hypergeometric at nearest singularity
2d
comment A criterion of norm null sequences in Banach space
More generally, in a metric space, a sequence $x_n$ converges to $y$ if and only if every subsequence of $x_n$ has a subsequence that converges to $y$. For topological space, you can do this with nets instead of sequences.
2d
comment Is the notation ${}^t g$ for the transpose of a linear transformation intended to be suggestive?
I think the left t is the Bourbaki choice.
2d
comment “Nice” functions on infinite-dimensional space of germs of continuous functions at a point
You say "functionals" and not "linear functionals", right?
Oct
16
awarded  Yearling
Oct
15
comment Is the sequence of Apéry numbers a Stieltjes moment sequence?
I accepted this answer. But anyone reading should see the other answers, too, to get a full discussion.
Oct
15
accepted Is the sequence of Apéry numbers a Stieltjes moment sequence?
Oct
15
comment Are Banach space norms (up to equivalence) unique?
... of course (as noted by Simon) that unbounded $\phi$ cannot be explicitly constructed. And cannot be constructed at all in simple ZF set theory.
Oct
13
comment the meaning of “Cauchy filter” for an arbitrary topological group
So, in fact, "Cauchy filter" is not standard in a general topological group. Instead, "left Cauchy" and "right Cauchy" filters are.
Oct
12
comment How do the compact Hausdorff topologies sit in the lattice of all topologies on a set?
For purposes of bestowing reputation, ask only one question per post. You are more likely to get answers rather than comments.
Oct
11
comment Another question on Borel sets and projections
Looks like Bob may find a book on descriptive set theory to be of interest.
Oct
10
awarded  Nice Answer
Oct
9
comment The Notion of Strong Measurability for Separable Banach Spaces
Yes, in complete measure space, you can redefine your approximations on a set of measure zero.
Oct
3
comment How to study analytically this ODE?
What do you mean by "analytical"?
Sep
30
awarded  Explainer
Sep
22
comment Characterization of a subset of [0,1] $II$
So, for example, you cannot have $t \in T$ but an interval $(t,t+\delta)$ disjoint from $T$, since there is no way for $t_n>t$ to converge to $t$. But perhaps that is the only restriction.
Sep
19
comment History of powers beyond squares and cubes
I read somewhere (maybe someone has a reference) that in the classical Greek geometry powers 4 and up never appear. Second power is area, third power is volume, and geometry is a theory to describe the real world, so higher powers are nonsense. Or something to that effect.
Sep
17
comment Errata database?
It's too bad this went away. You can still see it in web archives like the WayBack Machine. But the last update was 2007. A reason that errata lists should be in permanent places.
Sep
14
awarded  Nice Question
Sep
13
revised A hypergeometric puzzle
added 748 characters in body