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Alexander

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Questions (140)

Votes Activity Newest

8	Prove the inequality $\|xy\|\leq\frac{1}{2}(x^2+y^2)$ [duplicate]
7	Can $\le$ be used insted of < in the definition of continuity?
7	What is the topological properties of $\mathbb R $ that makes it uncountable (as compared to $\mathbb Q $)?
7	How to show that $\frac{x^2}{x-1}$ simplifies to $x + \frac{1}{x-1} +1$
6	How is Fubini's theorem used in the following proof?

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Reputation (2,157)

+10	Show that $\frac{1}{(n+1)!}(1+\frac{1}{(n+1)}+\frac{1}{(n+1)^2}+\frac{1}{(n+1)^3}+\cdots)=\frac{1}{n!n}$
+10	How is Fubini's theorem used in the following proof?
+10	Equivalence of definition of measure concentrated on a set $A $
+10	Equivalence of definition of measure concentrated on a set $A $

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Answers (3)

Votes Activity Newest

7	Equivalence of definition of measure concentrated on a set $A $
1	If $f $ is right continuous at $c $, can I claim that $\|sup _{x \in [c,x _i ]} f(x) -inf_{x \in [c,x _i ]}f(x)\|<\epsilon $?
1	Is $\epsilon _{X_i}(I_n) $ an other notation for the indicator function?

Tags (64)

7 measure-theory × 30	0 elementary-set-theory × 12
1 real-analysis × 33	0 probability-theory × 10
1 notation × 3	0 complex-analysis × 9
0 general-topology × 17	0 inequality × 8
0 calculus × 13	0 sequences-and-series × 8

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Bookmarks (62)

Votes Activity Newest Views Added

499	Do complex numbers really exist?
217	How to read a book in mathematics?
180	Why is compactness so important?
157	Do we know if there exist true mathematical statements that can not be proven?
138	How do you respond to “I was always bad at math”? [closed]

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