On my mathematics blog I'm trying an A to Z run, writing one essay for some mathematical topic for each letter of the (English) alphabet. The start of the series was A, for abacus, per a reader request.

https://nebusresearch.wordpress.com/2019/09/03/my-2019-mathematics-a-to-z-abacus/

I apologize for the delay in following up. My second A to Z essay, on Buffon's Needle, is up at https://nebusresearch.wordpress.com/2019/09/05/my-2019-mathematics-a-to-z-buffons-needle/

This one is also based on a reader request, from Peter Mander of the https://carnotcycle.wordpress.com thermodynamics blog.

The third of my A to Z essays came out Tuesday: Category Theory, as explained by a person who's just knowledgeable enough of the subject to know he shouldn't be writing an essay about category theory.

https://nebusresearch.wordpress.com/2019/09/10/my-2019-mathematics-a-to-z-category-theory/

The fourth topic asked for in my A-to-Z this year was Differential Equations. I had some fun thinking about what they are and why they're interesting.

https://nebusresearch.wordpress.com/2019/09/12/my-2019-mathematics-a-to-z-differential-equations/

I got asked to say something about encryption schemes for the A-to-Z and did my best to say things that weren't too wrong.

https://nebusresearch.wordpress.com/2019/09/17/my-2019-mathematics-a-to-z-encryption-schemes/

My series got up to the letter F and, by several requests, Fourier series. My unstated challenge in this: see how far I could go without writing 'sine' or 'cosine' at all.

https://nebusresearch.wordpress.com/2019/09/19/my-2019-mathematics-a-to-z-fourier-series/

For the letter G: Green's Function. Also, I learn how much I don't know the actual rules about what LaTeX you can do in a free Wordpress blog.

https://nebusresearch.wordpress.com/2019/09/24/my-2019-mathematics-a-to-z-greens-function/

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I took a couple pages from an analysis book for the next of my A-to-Z essays: the Infimum.

https://nebusresearch.wordpress.com/2019/10/01/my-2019-mathematics-a-to-z-infimum/

Continuing through the alphabet: the Koenigsberg Bridge Problem.

And in my A-to-Z ... I got asked to explain linear programming. I can give it a try at least.

https://nebusresearch.wordpress.com/2019/10/10/my-2019-mathematics-a-to-z-linear-programming/

The letter 'M' brought my A-to-Z for the year to martingales, because the other request was the Mittag-Leffler function and I couldn't think of any way to explain *that*.

https://nebusresearch.wordpress.com/2019/10/15/my-2019-mathematics-a-to-z-martingales/

And my last A-to-Z essay for the past week, getting me into the second half at last, was a free choice. I went with the Norm.

https://nebusresearch.wordpress.com/2019/10/17/my-2019-mathematics-a-to-z-norm/

The letter 'O', for my A-to-Z essay sequence this year, was represented by the operator. This is another topic I figured I could touch the high points of in about 800 words, and then sprawled to about twice that.

https://nebusresearch.wordpress.com/2019/10/22/my-2019-mathematics-a-to-z-operator/

Oh, goodness. I'm sorry; I fell behind on announcements here.

Well, the letter 'P' in my A-to-Z was Platonic, which I mostly used to talk about Platonic solids. There's some connected other topics, though.

https://nebusresearch.wordpress.com/2019/10/24/my-2019-mathematics-a-to-z-platonic/

For the ever-challenging letter Q in my A-to-Z this year I went to Quadrature, a concept both ancient and kind-of modern-ish.

https://nebusresearch.wordpress.com/2019/10/29/my-2019-mathematics-a-to-z-quadrature/

I apologize for slipping on my A-to-Z posts and shall try to catch up.

For the letter R, I took a request from a birdsite friend to say something about Relatively Prime:

https://nebusresearch.wordpress.com/2019/10/31/my-2019-mathematics-a-to-z-relatively-prime/

And there was another birdsite request for the letter S. From my A-to-Z for this year: sample space.

https://nebusresearch.wordpress.com/2019/11/05/my-2019-mathematics-a-to-z-sample-space/

For the letter T, I was asked to say something about Taylor Series. This fits well with my desire to insist that everything in mathematics is polynomials.

https://nebusresearch.wordpress.com/2019/11/07/my-2019-mathematics-a-to-z-taylor-series/

For the letter U, the most interesting suggestion was for Unitizing. It's one of those things I had not consciously noticed was a thing, which made for an interesting essay challenge.

https://nebusresearch.wordpress.com/2019/11/12/my-2019-mathematics-a-to-z-unitizing/

The letter V let me get into some of my peculiar favorite things: obscure trigonometric functions and numerical convenience. Here's some words about the Versine.

https://nebusresearch.wordpress.com/2019/11/14/my-2019-mathematics-a-to-z-versine/

I was asked to say something about Wallis Products. This let me discover just how the heck Wallis could have discovered such a thing. So here goes:

https://nebusresearch.wordpress.com/2019/11/19/my-2019-mathematics-a-to-z-wallis-products/

For the letter 'X', an A-to-Z has to take a loose interpretation of things. For example, by going to Greek: the Chi-Squared test.

https://nebusresearch.wordpress.com/2019/11/21/my-2019-mathematics-a-to-z-chi-squared-test/

The suggestion I had for the letter Y was a game. It's one that I like, without having ever played. I just like the theory of it.

https://nebusresearch.wordpress.com/2019/11/26/my-2019-mathematics-a-to-z-the-game-of-y/

And now the end of my 2019 A to Z, and my fitful self-introduction to Mathstodon: Zeno's Paradoxes. I only get about halfway through them. This may be a joke, but it's not one I made deliberately.

https://nebusresearch.wordpress.com/2019/11/28/my-2019-mathematics-a-to-z-zenos-paradoxes/

@nebusj I didn't know it was a thing either, so thanks for this one.

@11011110 Thank you! It's neat to run across something invisible like that.

Joseph Nebus@nebusj@mathstodon.xyzIs it possible to write about Julia Sets without including any pictures? Of course. Is it wise? This is a hard question.

https://nebusresearch.wordpress.com/2019/10/03/my-2019-mathematics-a-to-z-julia-set/