#Lagrange refers to Joseph-Louis Lagrange, an 18th-century mathematician who made significant contributions to calculus, mechanics, and algebra. His most famous work includes Lagrange's Theorem in group theory and Lagrangian mechanics, a reformulation of classical mechanics using the principle of least action.

$LA, or Lagrangian (L), is a function that summarizes the dynamics of a system. It's defined as the difference between kinetic and potential energy: L = T - V. The action (A) is the integral of the Lagrangian over time. Using the principle of least action, the path a system follows minimizes this action.

Lagrange was a brilliant mathematician and physicist known for developing Lagrangian mechanics, which is used to describe the motion of physical systems. Instead of using Newton’s laws, Lagrange used energy-based methods to find equations of motion.

The Lagrangian (L), denoted as $L$, is a mathematical function defined as the difference between kinetic energy (T) and potential energy (V):

L = T - V.

The action ($A$) is the integral of the Lagrangian over time:

$A = \int L , dt$.

According to the principle of least action, nature follows a path that makes this action minimum.