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Mathematics
Yiorgos S. Smyrlis's user avatar
Yiorgos S. Smyrlis's user avatar
Yiorgos S. Smyrlis's user avatar
Yiorgos S. Smyrlis
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Department of Mathematics & Statistics of the University of Cyprus

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53
Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio?
Dec 20, 2013
52
Which $f$ satisfy the equation $\,\,f(x)\,f(y)-f(x+y)=\sin x\,\sin y\,$?
Dec 20, 2013
47
e is irrational
Mar 15, 2014
47
The equation $x^3 + y^3 = z^3$ has no integer solutions - A short proof
Feb 5, 2014
47
Equicontinuity on a compact metric space turns pointwise to uniform convergence
Jan 24, 2014
47
What is the remainder when $1! + 2! + 3! +\cdots+ 1000!$ is divided by $12$?
Dec 26, 2013
42
The sequence $\,a_n=\lfloor \mathrm{e}^n\rfloor$ contains infinitely many odd and infinitely many even terms
Jan 26, 2018
40
If $\,\lim_{h\to 0}\frac{f(x+h)-f(x-h)}{2h}\,$ exists for every $x$, what does this imply for $f$?
Mar 22, 2018
39
Prove that $\int_0^1{\left\lfloor{1\over x}\right\rfloor}^{-1}\!dx={1\over2^2}+{1\over3^2}+{1\over4^2}+\cdots.$
Dec 27, 2013
38
Does the series $ \sum_{n=1}^{\infty}\left( 1-\cos\big(\frac{1}{n} \big) \right)$ converge?
Jan 2, 2014
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What happened to the hats?
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Why is this a duplicate?
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85
Is Euclid dead?
49
Is a function with nowhere vanishing derivatives analytic?
32
Is Euclid dead? or Should Euclidean geometry be taught to high school students?
20
A function composed with itself produces the identity
18
Generalization of Darboux's Theorem