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Jul
31
answered What is the definition of the absolute convergence of an infinite product $(1+a_1)(1+a_2)(1+a_3)\cdots$?
Jul
30
comment Bounded sets equivalent definition
Note that the definitions are only equivalent if $X\ne \emptyset$. It is more or less because of this that from 2 to 3 in the second part you have some problem. - Also: Are aou required to write proofs as pure sequences of formulas? A more wordy proof might ve much more legible (and at least you might want to add the rules you used for your interferences)
Jul
30
answered Does every non trivial variety in $\mathbb{R}^n$ have empty interior?
Jul
30
reviewed Reopen The Dual of a Dual problem for Convex Optimization Problem
Jul
30
reviewed Reopen Calculate $\int^{1/2}_0\int^{1-x}_x (x+y)^9(x-y)^9 \, dy \, dx$
Jul
30
reviewed Close An Infinite series I
Jul
30
reviewed Leave Open About the integral $\int_{-1}^1 \frac{1}{\pi^2+(2 \operatorname{arctanh}(x))^2} \, dx=\frac{1}{6} $
Jul
30
reviewed Leave Open Can $\int_{0}^{1}\frac{x^{p}\ln^{q}(x+a)}{(x+a)^{b}}dx$ be expressed in a simple form?
Jul
30
reviewed Close How does rotational energy transfer to linear energy?
Jul
30
reviewed Leave Open Convergence of $X_{n+1}=A X_n+C$.
Jul
30
reviewed Leave Open Help needed with the integral of an infinite series
Jul
30
reviewed Close Find the centre, foci and asymptotes of the hyperbola
Jul
30
reviewed Leave Open A non-standard form of circle in the complex plane
Jul
30
reviewed Leave Open Is 1 + 1 + 1 … a finite number?
Jul
30
reviewed Leave Open Find the sum of the series $\sum \frac{1}{n(n+1)(n+2)}$
Jul
30
reviewed Close Does number precede structure?
Jul
30
reviewed Leave Open Line Integral: $\int_C{x^2}\:dy$
Jul
30
answered Why formulate continuity in terms of pre-images instead of image?
Jul
30
comment Why is it true that $(a_1 \ a_2 \dots a_r) = (a_1 \ a_r)(a_1 \ a_{r-1})\dots(a_1 \ a_3)(a_1 \ a_2)$?
I somehow feel that this question has been altered beyond recognition, which makes older answer look inadequate ...
Jul
30
comment The product of two prime numbers
Well, if the product has at least three factors ...