Saddle point Updated 2025-07-16
Matrix multiplication Updated 2025-07-16
Since a matrix can be seen as a linear map , the product of two matrices can be seen as the composition of two linear maps:
One cool thing about linear functions is that we can easily pre-calculate this product only once to obtain a new matrix, and so we don't have to do both multiplications separately each time.
Named matrix Updated 2025-07-16
Infinite Napkin Updated 2025-07-16
800+ page PDF with source on GitHub claiming to try and teach the beauty of modern maths for high schoolers. Fantastic project!!!
MathWorld Updated 2025-07-16
Written mostly by Eric W. Weisstein.
Ciro once saw a printed version of the CRC "concise" encyclopedia of mathematics. It is about 12 cm thick. Imagine if it wasn't concise!!!
Infinite Napkin is the one-person open source replacement we needed for it! And OurBigBook.com will be the final multi-person replacement.
NLab Updated 2025-07-16
Decent encyclopedia of mathematics. Not much motivation, mostly statements though.
Unlike Wikipedia, they have a more sane forum commenting system, e.g. a page/forum pair:
PlanetMath Updated 2025-07-16
Joe Corneli, of of the contributors, mentions this in a cool-sounding "Peeragogy" context at metameso.org/~joe/:
I earned my doctorate at The Open University in Milton Keynes, with a thesis focused on peer produced support for peer learning in the mathematics domain. The main case study was planetmath.org; the ideas also informed the development of “Peeragogy”.
ProofWiki Updated 2025-07-16
MediaWiki-based.
This appears to be the creator: github.com/externl "Joe George".
Advertising Updated 2025-07-16
If a Big Company makes a product that Does Something, they just call it Big Company Does Something.
If a product is called "Big Company Catchy Name Does Something", then it came from an acquisition, and they wanted to keep the name due to its prestige and to not confuse users.
Meal deal Updated 2025-07-16
x.com/Birdyword/status/1777591446612193667
A while ago a Singaporean taxi driver asked me what a UK hawker centre lunch might cost. I explained that there aren't any. He asked what office workers ate, and I explained the concept of Meal deals. And he looked at me with such a powerful combination of pity and revulsion.
Singaporean taxi drivers are the cutest.
Atlas (topology) Updated 2025-07-16
Collection of coordinate charts.
The key element in the definition of a manifold.
Covariant derivative Updated 2025-07-16
A generalized definition of derivative that works on manifolds.
TODO: how does it maintain a single value even across different coordinate charts?
Differentiable manifold Updated 2025-07-16
TODO find a concrete numerical example of doing calculus on a differentiable manifold and visualizing it. Likely start with a boring circle. That would be sweet...

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