Happy birthday to Wikipedia, which launched #otd in 2001. Their homepage has changed a bit in the past 24 years.

The Mathematics of Artificial Intelligence: In this introductory and highly subjective survey, aimed at a general mathematical audience, I showcase some key theoretical concepts underlying recent advancements in machine learning. arxiv.org/abs/2501.10465

Perhaps the most important contribution to science that the Royal Society has made in its three centuries of existence is its early role in publishing Newton's masterful account of his discoveries: Mathematical Principles of Natural Philosophy—the Principia. -- Julian Schwinger

In the late 1830s, Karl Weierstrass dropped out of university. He is said to have spent his school years drinking and fencing. Decades later, he published a function that threatened everything mathematicians thought they understood about calculus. quantamagazine.org/the-jagged-mon…

How to imagine the size of an atom by Richard Feynman ✍️

Vibes in Montréal today. 😎 #montreal

Hello sunshine! @sebdarses.bsky.social

Emmy Noether showed that fundamental physical laws are really just a consequence of simple symmetries. A century later, her insights continue to shape physics. Shalma Wegsman reports: quantamagazine.org/how-noethers-t…

Srinivasa Ramanujan embodies the myth of the self-taught genius. He often said that his equations had been bestowed on him by the gods. More than a century after his premature death, his divine insights are inspiring new results. quantamagazine.org/srinivasa-rama…

lecture du jour (il est bien plus digeste que ce que j'attendais d'un bourbaki, je suis agréablement surpris)

Fisher-Rao distance between multivariate normal distributions not known in closed-form: Approximate Rao's distance by discretizing *special curves c(t)* and approximate Rao's distance between nearby normals by the square root of Jeffreys' divergence. > arxiv.org/abs/2302.08175

I am hiring a Student Researcher at Google DeepMind for 2025! 👩🔬 Interested in improving multi-turn optimization and reasoning capabilities of LLMs? 🧑‍🎓 Currently studying for a Bachelor's/Master's/PhD? 🧑‍💻 Have solid engineering and research skills? 🌟We want to hear from you!

My notes are up on my personal website!!! ericschmid-uchicago.github.io/notes/cl_and_t…

Theorem of the Day (March 9, 2025) : Morley’s Miracle Source : Theorem of the Day / Robin Whitty pdf : theoremoftheday.org/GeometryAndTri… notes : theoremoftheday.org/Resources/Theo… #mathematics #maths #math #theorem @theoremoftheday

"In science, the authority of the opinion of a thousand people is not worth the spark of reason of one." – Galileo (1564-1642) #quote #science #mathematics #maths #math #opinion

Visualizing curvatures on embedded manifolds via parallel transports along loops: Left: flat cylinder, no angle defect after a round Right: curved sphere, angle defect after a round Curvature = connection property franknielsen.github.io/papers/entropy… Images courtesy images-des-maths.pages.math.cnrs.fr/freeze/Visuali…

series 4-7 :

Conic Sections.

Square Roots