Why birds ignore Newton: New theory could sharpen models of flocks, crowds and cells

In many collective systems, individual elements respond to only part of their surroundings, seemingly defying Newton's third ...
Scientific American

The mathematical mystery inside the legendary 1990s shooter Quake 3

Game developers didn’t have it easy in the 1990s. Because they had extremely limited computing power, they had to write their code as efficiently as possible. Consider the first-person shooter Quake ...
IEEE

Distributed Finite-Step Iterative Algorithm for Economic Dispatch of Generation

Abstract: By combining the Newton-Raphson method, the graph discovery algorithm, and the finite-time consensus algorithm, a novel iterative algorithm is proposed in this paper to solve the economic ...
VentureBeat

New AI training method creates powerful software agents with just 78 examples

A new study by Shanghai Jiao Tong University and SII Generative AI Research Lab (GAIR) shows that training large language models (LLMs) for complex, autonomous tasks does not require massive datasets.
GitHub

Phase Plane and Slope Field

You can use the Phase Plane and Slope Field apps to qualitatively analyze ordinary differential equations (ODEs). Phase Plane app: Analyze two-dimensional autonomous ODE systems. Slope Field app: ...
snmjournals.org

Advanced Delay Correction Using TAC Integration and Newton-Raphson Method in Dynamic PET Imaging

Introduction: In dynamic PET analysis, the time-activity curves (TACs) observed in each tissue exhibit delays that deviate from the expected arterial input. Particularly in the context of Total-body ...
The Boston Globe

Just like fingerprints, footprints can be valuable evidence, expert says; the Newton slayings are one example

Investigators probing the killing of three family members last weekend in their Newton home got a major break when they found bloody footprints on a tile floor. Evidence from footprints can be ...