The Navier–Stokes equations have described the motion of fluids for nearly two centuries, yet they continue to pose some of the deepest challenges in mathematics and fluid mechanics. In September 2026 ...
Modern calculators have many buttons, including ones for sine, square root, pi and exponents. But it’s possible just two ...
This directory contains the LaTeX source of the qdjj_solver physics manual. The manual describes the package from a physical perspective: the Hamiltonian, the equations that are solved, the ...
General, Organic, and Biological, with openly licensed replacement illustrations. - QuadriviumPress/generalOrganicBiologicalChemistry ...
In my previous note, I addressed the struggle of not being able to start solving a problem on your own, even though you ...
Flow matching trains a continuous velocity field that transports samples from a simple distribution to a data distribution ...
Hello. This is Ushi No. 3🐮On Saturday, October 24, 2026, we held the 3rd Direction Workshop as an activity for "Dire-bu," ...
Researchers have developed summation-by-parts numerical schemes that exactly conserve the energy invariants of two dispersive ...
The formulas say these two very different counts agree for every number. Before Ramanujan could prove them, he came across an ...
Researchers have developed statROM, a reduced order statistical finite element method that explicitly estimates and corrects ...
Mathematicians have uncovered what they argue is a fundamental flaw in the standard model of the universe, potentially challenging the need for dark energy. Their calculations suggest that the ...
A few short years ago, asking AI to add two four-digit numbers together for a third-grade math assignment would have been a ...