Blog Reboot

After completing the first year of graduate school (post on the industry \(\to\) grad school transition forthcoming), I've finally got time to reboot the blog, with more focus. I'll be posting on a \(\sim\)weekly basis...

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Algebra Ladder

I first encountered a diagram of algebraic structures at the end of Jeevanjee's second chapter, "Vector Spaces", which elegantly summarizes the high-level differences in structure between sets, vector spaces, and inner product spaces.

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Quick Python Setup


Python has increased in popularity to near ubiquity in the past five years. While the Python community (correctly) professes simplicity as a major accomplishment of the language, I still get a lot of questions about how to get a python environment...

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Gravity of a Photon

A friend, who focuses primarily on experimental particle physics, recently asked me an interesting question about gravity. Specifically, he asked how the presence of electromagnetic fields impacts the gravitational field. Applying some modern-physics reasoning, he proposed...

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Erasing Efficiently

I've spent time focusing on the best chalkboards and chalks on my tools page, but -until recently- I've not spent much time thinking about the last part of the process -- erasing. At the suggestion of several colleagues, I played around with...

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Tensor Type Notation

What does type (r, s) mean?

I'd like to discuss the notation of the tensor type, commonly denoted \((r, s)\) as it relates to the tensor product. Specifically, the ordering of the vector spaces and dual vector spaces involved in the...

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Tensor Product for Programmers

The introduction to tensor products and tensor algebras is often riddled with rigor, in which a mathematician would delight but a programmer would despair. I find myself in the intersection of these camps and while I appreciate notation, a simpler introduction is possible...

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TSAPS Spring Meeting

Three hours south east of Dallas, Physicists gathered at Stephen F. Austin university in Nacogdoches to discuss recent developments in the field. They weren't alone, though. The meeting was shared between the APS, AAPT, and SPS - so if you were interested in physics...

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