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I am a professor of Mathematics at the University of Pisa, Italy.


1d
comment Uninteresting questions with interesting answers
Not sure if this example qualifies.
1d
comment Uninteresting questions with interesting answers
I suspect that any interesting mathematical result can be made the answer of some uninteresting mathematical question, or at least, quite less interesting than the answer. For instance: how little is the minimum algebraic sum $\pm a^2\pm b^2\pm c^2$ for a right triangle with edges $a,b,c$? etc.
1d
answered Uninteresting questions with interesting answers
2d
answered Interesting Calculus Questions/Exercises
Mar
20
comment Are there dense sets of positive but not full measure?
Constructing a measurable subset $A$ of $[0,1]$ such that $0 < \mu(A\cap [a,b]) < b-a$ for any $0\le a < b\le 1$ is an old and well-known elementary exercise in Measure Theory; see Rudin's Real and Complex Analysis.
Mar
18
comment Expected centered entropy of the binomial distribution
OK, so you want an estimate on the uniform convergence of the Bernstein polynomials of $h(x)$, since $\sup_{p\in[0,1]}I_n(p )=\|h−B_n h\|_\infty$.
Mar
17
comment Expected centered entropy of the binomial distribution
What should be the meaning of "for large $n$, $\max\limits_{p \in [0,1]} I_n(p) \to I_n(\frac{\alpha}{n})$" ?
Mar
16
answered Generating function for products of laguerre polynomials?
Mar
16
comment Is it true that for each bounded continuous function we can find a set of analytic functions to uniformly converge it?
Oh "bounded" sorry
Mar
16
comment Is it true that for each bounded continuous function we can find a set of analytic functions to uniformly converge it?
Actually it's true for any continuous functions, it's a classic result I think due to Carleman. mathoverflow.net/questions/26243/…
Mar
16
comment Is it true that for each bounded continuous function we can find a set of analytic functions to uniformly converge it?
But the convolution with a gauss kernel is not defined for all continuous functions
Mar
13
answered Predual of a subspace
Mar
5
awarded  Nice Answer
Mar
3
awarded  Nice Question
Mar
1
comment How to respond to “I was never much good at maths at school.”
This is the perfect answer to me!
Mar
1
comment How to respond to “I was never much good at maths at school.”
other experiences of MO users at the immigration office: mathoverflow.net/questions/178104/…
Mar
1
comment History of $\frac d{dt}\tan^{-1}(t)=\frac 1{1+t^2}$
suddenly I thought that the first place where it appeared could be… exactly this question
Feb
28
comment Is there a reference for compact imbedding theory of Hölder space?
Actually it was me who wrote that section on compactness in the wiki article. Since the proof is one line, and can be checked immediately, I didn't bother to look for a reference.
Feb
28
comment Totally non fixed point property
a singleton {*} - for higher dimension, a topological manifold has a lot of self mappings (e.g. a map only moving points in a small neighborhood of a given point)
Feb
26
comment A question about open subsets of Hilbert space whose complements are compact sets
Nice! We may also say that the radial projection from $x$ onto the hyperplane $H$ (which is a continuous map $X\setminus\{x\}\to H$) takes the countable union of compact subsets $X\setminus V$ to a countable union of compact subsets therefore of first category in $H$. (Also, actually you have proven that $V$ is locally path connected and connected).