His work involves the use of algebra to ... differential equations (PDEs). Kashiwara’s vital work on D-modules, a highly specific area of algebraic analysis involving linear PDEs, was done ...

Chemical Sciences Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8320, United States ...

While not entirely new, this paper reconsiders the general form of Hamilton's rule in which benefits and costs are defined as regression ... equation as follows: Below we will refer to the linear ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

This section focuses on the key features and methods for working with linear graphs. It demonstrates how to sketch graphs from rules, derive rules from graphs, and calculate key features such as the ...

They provide a versatile framework for solving equations, visualising data, and making informed decisions. This resource revises linear functions, graphs and equations and within linear functions, ...

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods ...