Practice projectile motion with fully solved physics problem examples. This video walks through step-by-step solutions to help you understand equations, motion components, and problem-solving ...

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.

Derivative-free method to find zeros of analytic (holomorphic) functions / solve nonlinear (polynomial / generalized) eigenvalue problems using contour integration. (Block SS-Hankel method, Block ...

Abstract: In this paper, an effective finite element method is developed and studied for the Maxwell eigenvalue problem with a radial inhomogeneous medium in a ball. The primary idea is to expand the ...

ABSTRACT: We provide a kernel-regularized method to give theory solutions for Neumann boundary value problem on the unit ball. We define the reproducing kernel Hilbert space with the spherical ...

Researchers from Microsoft Research Asia, Peking University, and Xi'an Jiaotong University have developed a new technique to improve large language models' (LLMs) ability to solve math problems by ...