When children reach elementary school age, many parents think like this. "I want them to be able to study to a certain extent" But at the same time, "but there is a limit to what parents can actually ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

As of July, 2022, there is also a C library that checks casting, multiplication, division, addition and subtraction for all combinations of signed and unsigned 32-bit and 64-bit integers. The C ...

What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question. Mathematics started with numbers — clear, ...

Bit Layer Multiplier Accumulator (BLMAC) is an efficient method to perform dot products without multiplications that exploits the bit level sparsity of the weights. A total of 1,980,000 low, high, ...

Msieve is the result of my efforts to understand and optimize how integers are factored using the most powerful modern algorithms. This documentation corresponds to version 1.54 of the Msieve library.

Matrix-vector multiplications form the core of a plethora of scientific computing and machine learning applications that include solving partial differential equations, forward and back propagation in ...

Abstract: Large integer multiplication is a major performance bottleneck in fully homomorphic encryption (FHE) schemes over the integers. In this paper two optimised multiplier architectures for large ...

Emmy Noether made significant contributions to theoretical mathematics. Konrad Jacobs, Erlangen/Wikimedia Commons, CC BY-SA When Albert Einstein wrote an obituary for Emmy Noether in 1935, he ...

The algebraic K K-groups of the integers, and other rings, are a big deal. A lot of fairly recent progress on understanding them is due to Voevodsky, Rost, Rognes and Weibel, whose work culminated in ...