Lagrangian Formulation of Todorov-Komar Model

Lagrangian Formulation of General Relativity

Differential geometry based solvation model II: Lagrangian formulation.

Solvation is an elementary process in nature and is of paramount importance to more sophisticated chemical, biological and biomolecular processes. The understanding of solvation is an essential prerequisite for the quantitative description and analysis of biomolecular systems. This work presents a Lagrangian formulation of our differential geometry based solvation models. The Lagrangian represe...

Alexander Todorov A Statistical Model of Facial Attractiveness

Previous research has identified facial averageness and sexual dimorphism as important factors in facial attractiveness. The averageness and sexual dimorphism accounts provide important first steps in understanding what makes faces attractive, and should be valued for their parsimony. However, we show that they explain relatively little of the variance in facial attractiveness, particularly for...

Lagrangian Formulation of the Electromagnetic Field

This paper will, given some physical assumptions and experimentally verified facts, derive the equations of motion of a charged particle in an electromagnetic field and Maxwell’s equations for the electromagnetic field through the use of the calculus of variations.

Lagrangian formulation of some q - deformed systems

In the framework of Lagrangian formulation, some q-deformed physical systems are considered. The q-deformed Legendre transformation is obtained for the free motion of a non-relativistic particle on a quantum line. This is subsequently exploited to obtain the Lagrangians for the q-deformed harmonic oscillator and q-deformed relativistic free particle. The Euler-Lagrange equations of motion are d...