In mathematics, Liouville's formula, also known as the Abel–Jacobi–Liouville identity, is an equation that expresses the determinant of a square-matrix solution of a first-order system of homogeneous ...

In mathematics and its applications, a Sturm–Liouville problem is a second-order linear ordinary differential equation of the form d d x [p (x) d y d x] + q (x) y ...

Quantum chemistry applies quantum mechanics to the theoretical study of chemical systems. It aims, in principle, to solve the Schrödinger equation for the system under scrutiny; however, its ...

The last several years have witnessed a significant intensification of the connections between probability (e.g., random walks and percolation) and ergodic theory, especially in treating questions ...

Liquid-liquid phase separation (LLPS) involving intrinsically disordered protein regions (IDRs) is a major physical mechanism for biological membraneless compartmentalization. The multifaceted ...