Abstract: In this paper, we propose three modular multiplication algorithms that use only the IEEE 754 binary floating-point operations. Several previous studies have used floating-point operations to ...

The military academy’s appointment of Jen Easterly, who had been director of the Cybersecurity and Infrastructure Agency, was canceled after complaints from the far-right agitator Laura Loomer. By ...

The rational numbers, \mathbb{Q}, and set of all real numbers, \mathbb{R}, also are infinite. This fact—that these sets are of infinite size—has implications for numeric representation and numeric ...

Third and fifth grade students at Florence Elementary School in High Point participated in "March Multiplication Madness" today, honing their math skills in a bracket-style tournament.Spaces around ...

Multiplication on a common microcontroller is easy. But division is much more difficult. Even with hardware assistance, a 32-bit division on a modern 64-bit x86 CPU can run between 9 and 15 cycles.

New Linear-complexity Multiplication (L-Mul) algorithm claims it can reduce energy costs by 95% for element-wise tensor multiplications and 80% for dot products in large language models. It maintains ...

A new technique could put AI models on a strict energy diet, potentially cutting power consumption by up to 95% without compromising quality. Researchers at BitEnergy AI, Inc. have developed ...

Researchers claim to have developed a new way to run AI language models more efficiently by eliminating matrix multiplication from the process. This fundamentally redesigns neural network operations ...

In the last few years, libraries like fmt have mastered printing of floating-point numbers. They use shortest representation with round-trip guarantee. Meanwhile, yaml-cpp, after #649, started to ...