An apparently easy-looking math problem has left internet users scratching their heads. Give it a try to see if you can ...

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, uses number ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

Abstract: This paper introduces Physics-Informed Neural Networks (PINNs) to model heat distribution in a two-dimensional domain governed by the heat equation. Unlike traditional numerical solvers, ...

This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate ...

Abstract: Accurate load forecasting plays an essential role in the measurement, monitoring, and control frameworks of modern power systems, particularly given the continuous influx of high-resolution ...