At first, it was just note. I am a 51-year-old caregiver living in Ehime Prefecture. I'm just an ordinary middle-aged guy who rides his bike down country roads to work, and one day, I started writing ...

Calculating prodigies are individuals who are exceptional at quickly and accurately solving complex mental calculations. With positron emission tomography (PET), we investigated the neural bases of ...

Abstract: Karatsuba algorithm (KA) is popularly used for high-precision multiplication by divide-and-conquer approach. Recently, subquadratic digit-serial multiplier based on (a,2)-way KA ...

In 1971, German mathematicians Schönhage and Strassen predicted a faster algorithm for multiplying large numbers, but it remained unproven for decades. Mathematicians from Australia and France have ...

Five years ago, the pandemic brought K-12 education grinding to a halt. The latest Nation's Report Card shows, on average, students still haven't made up for all the learning they missed in math, but ...

For decades, educators have assumed that learning arithmetic in school helps students solve real-world problems. Yet, a new study published in Nature by a team of researchers including Nobel laureates ...

Abstract: This paper presents two improved modular multiplication algorithms: variable length Interleaved modular multiplication (VLIM) algorithm and parallel modular multiplication (P_MM) method ...

If you’ve ever tried to use ChatGPT as a calculator, you’ve almost certainly noticed its dyscalculia: The chatbot is bad at math. And it’s not unique among AI in this regard. But tokenization isn’t ...

“Sparks of artificial general intelligence,” “near-human levels of comprehension,” “top-tier reasoning capacities.” All of these phrases have been used to describe large language models, which drive ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. A critical bottleneck for the training of large neural networks (NNs) is communication ...