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comment Why is this a useful way to prove the characterisation of bases?
In general, if several properties are equivalent that is a justification to define the concept in the first place.
3h
revised Mathematics Radical Numbers Problem
added 35 characters in body
3h
answered Mathematics Radical Numbers Problem
4h
comment Discrete Maths Set Theory: Prove that $\left|(X^Y)^ Z\right|=\left|X ^{Y \times Z}\right|$.
Title and body are differnt questions
5h
comment What condition do I have set to have $x_j$ for $j=1,…,n$ to be non-negative?
This is not sufficient. For example $n=1$, $y_1=-1$, $q_{11}=0$ allows arbitrary $x_1$.
5h
answered What is the definition of the absolute convergence of an infinite product $(1+a_1)(1+a_2)(1+a_3)\cdots$?
16h
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)
18h
answered Does every non trivial variety in $\mathbb{R}^n$ have empty interior?
18h
reviewed Reopen The Dual of a Dual problem for Convex Optimization Problem
18h
reviewed Reopen Calculate $\int^{1/2}_0\int^{1-x}_x (x+y)^9(x-y)^9 \, dy \, dx$
18h
reviewed Close An Infinite series I
18h
reviewed Leave Open About the integral $\int_{-1}^1 \frac{1}{\pi^2+(2 \operatorname{arctanh}(x))^2} \, dx=\frac{1}{6} $
18h
reviewed Leave Open Can $\int_{0}^{1}\frac{x^{p}\ln^{q}(x+a)}{(x+a)^{b}}dx$ be expressed in a simple form?
18h
reviewed Close How does rotational energy transfer to linear energy?
18h
reviewed Leave Open Convergence of $X_{n+1}=A X_n+C$.
18h
reviewed Leave Open Help needed with the integral of an infinite series
18h
reviewed Close Find the centre, foci and asymptotes of the hyperbola
18h
reviewed Leave Open A non-standard form of circle in the complex plane
18h
reviewed Leave Open Is 1 + 1 + 1 … a finite number?
18h
reviewed Leave Open Find the sum of the series $\sum \frac{1}{n(n+1)(n+2)}$