Video links for STAT students.

Dear class, Not all YouTube math videos are created equal!! I will post links to the most useful ones here:   Confidence Intervals: Introduction to confidence intervals When sigma is known When sigma is unknown   Central Limit Theorem: Main idea. Another Example.   If you want me to post more post a comment about […]

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Of yarn and math.

Yarn has been on my mind. It's on my mind because I love to knit, but also because of this post I read some weeks ago on the mathematics stack exchange. The author presents a paper about an "optimal yarn ball" that looks like this: Very cool, but it would be impossible to do that […]

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Almost Convergence.

The title of my last post "Almost Cauchy Sequence" made me wonder if "Almost Cauchy" was already defined in some formal sense. I could not find much on "Almost Cauchy" ... but I did find out about "Almost Convergence." (I think I have ran in to this before... but it is very neat... observe:) A […]

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Introducing the multi-zeta function!

Contemplating: My friend, and fellow math blogger, Owen, tried to tell me I was dealing with the multi-zeta function the other day, but the very general definition on WolframMathworld left me feeling a little mystified. I could see how the identities I was playing with fit in to it, but what was all of that […]

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Play with the follium!

I've discovered Wolfram Alpha's widget builder. It's very easy to make little searches that help focus your readers (or students) on certian topics in Wolfram's massive database. Use the above to investigate the follium ... as I mentioned in an earlier post.

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Several series for powers of pi.

The Weierstrass factorization theorem gives us this identity: Take the left side: Thinking of this in a combinatorial way we can expand it. Each even power of q has a sum of combinations of the inverse squares as its coefficient. That is: Now on the right side of Expand using the Taylor series for the […]

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