SUMMARY: Geothermal energy can be harnessed for domestic heating or to produce electricity via steam turbine. “Geothermal” refers to heat from the interior of Earth generated from the forces that led to the planet’s creation and the ongoing slow radioactive … Read more
14 April 2026 2026 Clay Research Awards 2026 Clay Research Awards are made to Tuomas Orponen, Pablo Shmerkin, Hong Wang, and Joshua Zahl; to Robert Burklund, Jeremy Hahn, Ishan Levy, and Tomer Schlank; and to Yu Deng and Zaher Hani. … Read more
The same week that Claude finished formalizing the proof of Fermat’s Last Theorem in Lean, a paper landed in my inbox titled, The Spherical Hadwiger Theorem. The Spherical Hadwiger Conjecture, which has been open since about 1974, describes a niche-but-important … Read more
Abstract:This book is about the mathematical foundations of data science. 1. Introduction 2. Curses, Blessings, and Surprises in High Dimensions 3. Singular Value Decomposition and Principal Component Analysis 4. Linear Regression and Regularization 5. Graphs, Networks, and Clustering 6. Nonlinear … Read more
In the mid-noughties, when music by the Killers and Franz Ferdinand blared out of every pub and nightclub I passed, I spent my days and nights struggling through a Ph.D. in applied mathematics. My research focused on simulating how special … Read more
Mathematics Distillation Challenge – Equational Theories 13 March, 2026 in advertising, math.GR | Tags: competition, Equational Theory Project, SAIR | by Terence Tao Mathematical research traditionally involves a small number of professional mathematicians working closely on difficult problems. However, I have … Read more
This post is a little departure from our usual architecture discussions, but I promise it is worth understanding if you care about your database performance. I started thinking about compression when implementing prefix compression for SlateDB. When I ran benchmarks, … Read more
What’s the meaning of “numbers” and “arithmetic operations”? We consult Georg Cantor’s turtles and look at Giuseppe Peano’s code. Today, mathematics is regarded as an abstract science. On forums such as Stack Exchange, trained mathematicians may sneer at newcomers who … Read more
Please be advised that external sites may have terms and conditions, including license rights, that differ from ours. MIT OCW is not responsible for any content on third party sites, nor does a link suggest an endorsement of those sites … Read more
Wherein I muse about the value of understanding. For those who like a pithy takeaway, I propose that the end of mathematics does not look unlike the end of striving for understanding, and the improvement of the singular human mind.Posted … Read more