While mathematics may be viewed as an abstract creation, its origins lie in the physical world. The need to count animals and share food supplies led to the development of the concept of numbers. With ...
The study of evolutionary dynamics has increasingly drawn upon sophisticated mathematical frameworks to model the adaptive processes of populations. In recent decades, Hamilton-Jacobi equations have ...
Optimal control theory provides a rigorous mathematical framework for determining control policies that guide dynamical systems towards a desired performance, often by minimising an associated cost ...