Sentence examples for mathematical physics the from inspiring English sources

It is not out of place to mention here that in many branches of pure and applied mathematics, engineering, and mathematical physics, the Laguerre polynomial defined by L n ( x ) = ( ν + 1 ) n n !

By established principles of mathematical physics, the velocity of an object is defined as the rate of change of its position, and the acceleration is defined as the rate of change of the velocity.

In many problems of mathematical physics, the smallest eigenvalue (the so-called principal eigenvalue) plays an important role.

It is well known that the fundamental solutions of the classical stationary of mathematical physics (the harmonic equation, polyharmonic equation, and Helmholtz equation) are radial functions.

Such problems have remarkable applications in mathematical physics, the mechanics of deformable bodies, electromagnetism, relativistic quantum mechanics, and some of their natural generalizations.

In their calculation, reported this week in the Journal of Mathematical Physics, the researchers use a technique called the variational principle to come up with an upper limit for the energy of each orbital.

The theory was introduced in 1954 by Chinese-born American physicist Chen Ning Yang and American physicist Robert L. Mills, who first developed a gauge theory, using Lie groups (see mathematics: Mathematical physics and the theory of Lie groups), to describe subatomic interactions.

While Wrinch was pursuing her education—and publishing 42 papers on mathematics, mathematical physics, and the philosophy of science, all under her maiden name, which she used throughout her career her husband developed a drinking problem, which led them to separate in 1930 and to divorce in 1938.

This massive work on rings of operators was very influential and continues to have an impact in pure mathematics, mathematical physics, and the foundations of physics.

What is exhibited by methodological approaches in chaos is not that different from what happens in other areas of mathematical physics, where the mathematics is intractable and the physical insight comes with a struggle.

Gibbs's analysis of irreversibility, and his formulation of Boltzmann's H-theorem and of the ergodic hypothesis, were major influences on the mathematical physics of the 20th century.