영어에서 Wave equation 을 사용하는 예와 한국어로 번역
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Computer
Wave Equation.
Compute the parametric dependence of the wave equation.
Specify the wave equation with unit speed of propagation.
Could we measure the speed of light using the wave equation?
Specify a wave equation with absorbing boundary conditions.
The Klein-Gordon equation was the first relativistic wave equation.
Solve a 1D wave equation with periodic boundary conditions.
She proved many important results relating to the non-linear wave equation.
Solve a 1D wave equation with absorbing boundary conditions.
Model the oscillations of a circular membrane of radius 1 using the wave equation in 2D.
I am simply fascinated by your[wave equation] theory and the wonderful new viewpoint it brings.
During the 1970s she extended this work to examine other solutions to the wave equation.
These methods allowed them to find closed form solutions to the wave equation describing the oscillations of an elastic medium.
Working with Smirnov, Sobolev studied functionally invariant solutions of the wave equation.
The new Convected Wave Equation, Time Explicit interface includes the following domain and boundary conditions.
He retired in 1981 but at this time his work was concentrating on the theory of nonlinear wave equations.
PhET allows you to pause it in the middle and see what the wave equation is at this point or see the velocity at the peak of the ball's motion.
The book deals with,among other topics, Laplace 's equation, mixed boundary value problems, the wave equation, and the heat equation. .
It was Dirac 's 1928 paper on the wave equation of the electron which had first set Eddington on the path of seeking ways to unify quantum mechanics and general relativity.
In addition to research in group theory andspecial functions, he worked on problems in mathematical physics, including electromagnetic theory and applications of the wave equation.
In 1904 he extended Whittaker 's solution of the potential and wave equation by definite integrals to more general partial differential equations. .
One week later Schrödingergave a seminar on de Broglie 's work and a member of the audience, a student of Sommerfeld 's, suggested that there should be a wave equation.
This theory, which combined Landau's theory of second-order phase transitions with a Schrödinger-like wave equation, had great success in explaining the macroscopic properties of superconducters.
His results in partial differential equations(described as'most sensational' by Watson) included a general solution of the Laplace equation in three dimensions in a particular form and the solution of the wave equation.
This is, from the mathematical point of view, the same as the wave equation of classical physics solved above(but with a complex-valued wave, which makes no difference in the methods).
The analogue of Kirchhoff 's formula, due to Volterra, is derived and an interesting account isgiven of a method, devised by Marcel Riesz and based on the theory of fractional integration, which provides a powerful method of solving initial value problems for equations like the wave equation.
He proved the well-posedness of the initial value problem for wave equations in what is now called Sobolev spaces two decades before these spaces became a common tool for specialists.
Epoch-making work on how symmetry is implemented in quantum mechanics, the determination of all the irreducible unitary representations of the Poincaré group, and his work with Bargmann on realizing those irreducible unitary representations as the Hilbert spaces of solutions of relativistic wave equations,….
The article contains the first appearance of the wave equation in print but again suffers from the defect that he used mathematically pleasing simplifications of certain boundary conditions which led to results which were at odds with observation.
Following up on a hint in Gelfand 's address to the1962 Stockholm International Congress, they showed that the Lax-Phillips scattering theory, applied to the wave equation appropriate to hyperbolic space, is a natural tool in the theory of automorphic functions.