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- probability theory - Why does a C. D. F need to be right-continuous . . .
This fact is useful to resolve this natural question: Let $\{X_i\}_{i=1}^{\infty}$ be i i d random variables uniform over $[-1,1]$
- Is an integral always continuous? - Mathematics Stack Exchange
The following is worth pointing out: Firstly, note that if we replace "continuous" with "differentiable", the new statement isn't true
- Difference between continuity and uniform continuity
I understand the geometric differences between continuity and uniform continuity, but I don't quite see how the differences between those two are apparent from their definitions For example, my book
- real analysis - A continuous function on a closed interval is uniformly . . .
I am doing my best to understand the proof given to me in my class notes It is attached below: Proof We prove this by contradiction
- general topology - Closure of continuous image of closure - Mathematics . . .
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- Hölder- continuous function - Mathematics Stack Exchange
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- real analysis - Continuous differentiability implies Lipschitz . . .
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
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