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Alexander

Undergratuate studen of mathematics.

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8 Prove the inequality $|xy|\leq\frac{1}{2}(x^2+y^2)$ [duplicate] Aug 18 '13
7 How to show that $\frac{x^2}{x-1}$ simplifies to $x + \frac{1}{x-1} +1$ Jan 14 '13
7 Can $\le$ be used insted of < in the definition of continuity? Jan 19 '14
7 What is the topological properties of $\mathbb R $ that makes it uncountable (as compared to $\mathbb Q $)? Nov 6 '14
7 Equivalence of definition of measure concentrated on a set $A $ Oct 3 '14
5 How is Fubini's theorem used in the following proof? Oct 30 '14
5 Holomorphically simply connected implies simply connected Jul 1 '14
4 What is the Lebesgue measure of the set of numbers in $[0,1]$ that has two thirds of ones in their infinite base-2 expansion? Dec 13 '14
3 Example of topological space where there is a point and a subset $A $: $x \in \overline A $, but no sequence in $A $ converging to $x $? Nov 25 '14
3 Equivalence of definitions of measurable function: preimage of open set vs preimage of Borel set? Nov 14 '14
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