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location  Cairo, Egypt  
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9h

awarded  Necromancer 
Jan
5 
awarded  Popular Question 
Dec
4 
awarded  Nice Answer 
Nov
8 
comment 
Pseudonyms of famous mathematicians
If you mean by AlKhoresmi "Abu Ja'far Muhammad ibn Musa AlKhwarizmi" then I think he does not qualify. It was customary at the time to use geographic names of family origin as family name. This means that he had the name "AlKhwarizmi" all his life and that his father, brothers and sons (if he had any) had the same name. 
Nov
8 
answered  Pseudonyms of famous mathematicians 
Nov
3 
comment 
Cardinalities larger than the continuum in areas besides set theory
For the example of measurability I would say it is still within the realm of set theory (descriptive set theory). I think there are results on infinite dimensional topology that require a space of very large cardinality, but the ideas and techniques are borrowed from model theory. Actually it seems that whenever we study questions of infinite cardinals we require tools from model theory or set theory. 
Oct
30 
awarded  Commentator 
Oct
30 
comment 
Question about Schauder bases in C([0,1]).
The usual example in $C([0,1])$ is $\vert t\frac 12\vert$. Its Fourier series does not converge uniformly. 
Oct
30 
comment 
Question about Schauder bases in C([0,1]).
Actually if a trigonometric series converges uniformly to a function $f$, then the series must be the Fourier series of $f$. This is statement 1.41 on page 6 of Zygmund's {\it Trigonometric Series}. 
Oct
28 
comment 
describe subsets of the integers closed under the binary operation Ax+By
Wouldn't $(1)$ be the set of all integers of the form $F(A+B)$ where $F$ is a polynomial with positive integer coefficients? 
Oct
27 
comment 
two sequences whose difference converges to zero
Yes. I thought it may suggest a suitable terminology. 
Oct
27 
answered  two sequences whose difference converges to zero 
Oct
27 
answered  “Riemannâ€“Stieltjes derivative”? 
Oct
27 
comment 
“Riemannâ€“Stieltjes derivative”?
The existence of the RadonNikodym derivative requires that the measure $dF$ be absolutely continuous with respect to Lebesgue measure which is not satisfied by a pure jump function where the support of the measure is a finite or countable set. 
Oct
26 
revised 
What numbers can be approximated “pretty well” by rationals?
added 1 characters in body 
Oct
26 
accepted  The dual group of $\mathbb Q$ 
Oct
26 
comment 
Wonderful applications of the Vandermonde determinant
Another application is to prove that for any $0<\alpha_1<\cdots<\alpha_n$ the family $$ \sin \alpha_1x,\cdots,\sin\alpha_nx$$ is linearly independent in $C^{4(n1)}(\mathbb R)$. 
Oct
25 
answered  What numbers can be approximated “pretty well” by rationals? 
Oct
15 
comment 
Does constructing nonmeasurable sets require the axiom of choice?
There is an interesting discussion on: math.niu.edu/~rusin/knownmath/99/AD_AC 
Oct
14 
answered  Experimental Mathematics 