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Using the polar method on parametric cubic spline technique, Prabhakar and Uma get wave resonating quadruplets calculated by the nonlinear source term of the wave model.
If the only difference between the light reflected from different retinal layers was a difference in axial position, one might expect that their only effect would be on the defocus term of the wave aberration.
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Fermat's principle, stated as a theorem concerning light rays but later restated in terms of the wave theory, found an almost exact parallel in the development of wave mechanics.
The subscript θ represents partial differentiation in terms of the wave phase.
The various distributions are quantified and compared in terms of the wave height exponent α.
The latter evolve according to the "guiding equation," which expresses the velocities of the particles in terms of the wave function.
We should not expect to have a detailed and complete explanation of our experience in terms of the wave function of 1033 particles that we and our immediate environment are made of.
These assumptions yield analytical expressions for the mean momentum and pressure forcing terms that can be expressed in terms of the wave spectrum.
Theorem 15 provides a simple definition of Pollicott Ruelle resonances formulated in terms of the wave front set condition and action on distributions.
If one sticks to the probabilistic interpretation and one accepts the completeness of the description of the states of physical systems in terms of the wave function, the tail problem cannot be avoided.
When the fractional order damped and sources term are the terms of the wave equation, Kirane and Tatar [11] and Tatar [12] proved that exponential growth and blow-up result for sufficient large initial data.
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