For this reason the Gauss-Codazzi equations are often called the fundamental equations for embedded surfaces, precisely identifying where the intrinsic and extrinsic curvatures come from.
32.
Professor Mart�nez is a theoretical chemist whose research focuses primarily on developing first-principles approaches to chemical reaction dynamics, starting from the fundamental equations of quantum mechanics.
33.
The fluid flow obeys fundamental equations of fluid dynamics ( such as the conservation of mass and the conservation of momentum ) called Navier Stokes equations.
34.
There is one fundamental equation that describes sound wave propagation, the acoustic wave equation, but the phenomena that emerge from it are varied and often complex.
35.
However, when multiple nucleons are assembled into an atomic nucleus ( nuclide ), these fundamental equations become too difficult to solve directly ( see lattice QCD ).
36.
The fundamental equation of the orbit is easier to solve if it is expressed in terms of the inverse radius " u " = 1 / " r"
37.
The EFIE describes a radiated field "'E "'given a set of sources "'J "', and as such it is the fundamental equation used in antenna analysis and design.
38.
Since this is an expression for entropy in terms of,, and, it is a fundamental equation from which all other properties of the ideal gas may be derived.
39.
And by ( 2 ) applying the fundamental equation of constrained motion to this auxiliary unconstrained system so that the auxiliary constrained equations of motion are explicitly given by
40.
This is the fundamental equation of MPR . The dot after c is a placeholder for the specific contingencies of reinforcement under study ( Killeen & Sitomer, 2003 ).
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