Major reforms and inventions often begin with a line of mathematics. For students, equations can look abstract on a classroom board. Yet some of them reorganised science, engineering and economics.

The API is not stable yet and is expected to change between revisions. This Python code is not optimized for speed. Refer to the transformations.c module for a faster implementation of some functions.

Inverse problems in Euler–Bernoulli beam dynamics focus on determining unknown parameters or source distributions within the governing beam equation from external observations. This area spans the ...

Nernst's theorem—a general experimental observation presented in 1905 that entropy exchanges tend to zero when the temperature tends to zero—has been directly linked to the second principle of ...

Abstract: A new Green's function formulation is developed systematically for modeling general homogeneous (dielectric or magnetic) objects in a layered medium. The dyadic form of the Green's function ...

In a recent paper, a continuum theory of immiscible and incompressible two-phase flow in porous media based on generalized thermodynamic principles was formulated (Transport in Porous Media, 125, 565 ...

Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to traditional Multi-Layer Perceptrons (MLPs). Inspired by the Kolmogorov-Arnold representation theorem, these networks ...

OpenAI recently unveiled a new feature for ChatGPT called "memory," which stores things you explicitly ask the program for later use. This feature can be a way to make anything you build with ChatGPT, ...

Abstract: In edge-fog computing networks, it is very crucial to ensure that group keys are secure and reliable. In recent years, there has been much interest in group key updating schemes based on ...

Jay Daniel Thompson receives funding from the Australian Research Council for a collaborative study entitled 'Addressing online hostility in Australian Digital Cultures' (DP230100870). Dr. Thompson is ...