In the 1920s, two mathematicians working on separate continents proposed the same set of mathematical equations for describing population growth and decline in biological systems. Alfred Lotka ...

Whether it's physical phenomena, share prices or climate models—many dynamic processes in our world can be described mathematically with the aid of partial differential equations. Thanks to ...

The iPad Calculator app has introduced an innovative feature called Math Notes, designed to enhance how you interact with mathematical equations. By integrating handwriting recognition ...

A Harvard scientist, Dr. Willie Soon, claims to have developed a mathematical formula that could prove the existence of God.

Google's second generation of its AI mathematics system combines a language model with a symbolic engine to solve complex geometry problems better than International Mathematical Olympiad (IMO) gold ...

Methods for solving linear, ordinary, and partial differential equations of mathematical physics. Green's functions, distribution theory, integral equations, transforms, potential theory, diffusion ...

An equation is a mathematical statement showing that two expressions are equal. The two expressions are linked with an equals symbol (=). The unknown variable (often the letter \(x\)) can take any ...

The Helsinki Mathematical Physics Group has been in applying these ideas to a wide variety of problems including turbulence and stochastic differential equations, kinetic theory, fluctuating ...

Researchers compared two types of observers: a classical extended Luenberger observer and a nonlinear observer to the production of B. thuringiensis.

This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...