Viewing profile — keithalewis

https://math.uchicago.edu/~shmuel/Network-course-readings/MC...

I see what you did there.

There is no need for it. Here is a simple replacement: https://keithalewis.github.io/math/um1.html .

Linus wrote it, so there's got to be a pony in there somewhere. He's the first person in the world to figure out version control software. /s

Thank you for your diligence in explaining complicated topics in a way that makes them accessible to people trying to learn what people before them figured out. You are a true educ…

The Wikipedia page on this is sufficient. If F:X -> Y is a function between normed linear spaces then DF:X -> L(X,Y), where L(X,Y) is the vector space of linear operators from X to…

"This book aims to standardize the notation for tensor diagrams..." https://youtu.be/zELbzXAmcUA?t=73

The author also seems to be unaware of Fréchet derivatives.

This is incomplete, incorrect, and irrelevant. Standard notation already exists. I'm sure it is fun to draw squiggly lines and some people enjoy reinventing the wheel. Spend some t…

Your statement "the best path forward for me understanding is a path that can maintain that curiosity" comes off as entitled. Only you owe yourself that. "I can play with Arnold's …

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Let S = {1, 2}. Every distance function is determined by d(1,2) = a, a >= 0. Define f(d) = {{1,2}} if a = 0 and f(d) = {{1},{2}} otherwise. Isn't this a clustering algorithm that i…

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You made a completely obvious and true statement starting with "It would help..." That seems to be frowned upon on HN. BTW, a simpler definition of a (small) category is that it is…

We agree. The case was about Renaissance breaking the law. The best lawyers their money could buy lost and did not avail themselves of their right to appeal. The ruling body found …

Worked for Renaissance Technologies: https://www.ft.com/content/8cef8c70-5d02-4762-9100-2d92d0c76...

Category theory is just another way of looking at math besides the impoverished notion "everything is a set". Mathematics is used in computer science. Rust is a great example. Jean…

This. Motivation is the key to getting employees to produce over a period of time. Give the good ones the maximum amount of ownership they can handle and they will set an example f…

And, like, a LARPing mode I could use while sitting in my mom's basement that would automagically post every brain fart I had to HN. That would be totally cool!

When I worked at Bloomberg their first coding guideline was "Don't sweat the small stuff." I was mystified by that when I first read it. Then I sat in meetings where someone would …

Front page material? P(max{X_1, X_2} <= x) = P(X_1 <= x, X_2 <= x) = P(X_1 <= x) P(X_2 <= x) = xx. P(sqrt(X_3) <= x) = P(X_3 <= x^2) = x^2. It is late in the day when midgets cast …

You are missing what is missing. Their source code does not fill in the missing pieces.

Never underestimate the power of das blinkenlights to entertain lazy dumb people.

I work hard to be lazy.

There are Pythagorean triples (a, b, c) for which there do not exist integers m, n with a = m^2 - n^2, b = 2mn, c = m^2 + n^2.