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Building intuition for how uniformly continuous functions are different from garden-variety continuous ones. See the playlist: ...

We outline the difference between "point-wise" continuous functions and uniformly continuous functions. Basically, with "normal" ...

Uniform Continuity Definition and Intuition In this video, I give a quick introduction to uniform continuity, and provide some useful ...

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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Continuity versus Uniform Continuity - Definition of a continuous ...

Uniform Continuity Basic Example In this video, I work out a basic example of how to show that a function is uniformly continuous ...

We define the notion of uniform continuity of a function on a set. We give several examples and counterexamples.

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Prove a Function is Uniformly Continuous. This is a proof that ...

We introduce the notion of uniform continuity and give some motivating examples and calculuations. Please Subscribe: ...

We show that the square root function is uniformly continuous on its domain. Please Subscribe: ...

Uniform Continuity Harder Example In this video, I give a harder example of showing that a function is uniformly continuous What ...

A brief introduction to the (continuous) uniform distribution. I discuss its pdf, median, mean, and variance. I also work through an ...

We define what it means for a function to be Lipschitz and prove that Lipschitz functions are uniformly continuous.

Uniform Continuity and Derivatives In this video, I present a really neat test for uniform continuity, which has to do with derivatives.

Uniform Continuity and Compactness In this video, I show a super nice property of uniform continuity: Namely any continuous ...

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Showing a function is not uniformly continuous In this video, I give another example of a function that's not uniformly continuous.

Using the definition to prove that a function is/isn't uniformly continuous is TRICKY, yo. Here we show how it might be used to ...