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We derived Result 1 from the classical Kac Rice formula, and the theorem from which we obtained Result 2 can be obtained from a suitable generalization to plane random fields (see [29, 37] and [25, 27, 36] in the main text).
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The WKB approximation is used to find a suitable generalization of the wave solutions for finite waveguides undergoing longitudinal and flexural motion.
Despite Weyl's failure to win many friends for his theory, his guiding example of unification launched the geometrical program of unified field theory, initiating a variety of efforts, all aimed at finding a suitable generalization of the Riemannian geometry of Einstein's theory to encompass as well non-gravitational physics (Vizgin (1994), ch.4).
The modern version of Euclidean geometry is the theory of Euclidean (coordinate) spaces of multiple dimensions, where distance is measured by a suitable generalization of the Pythagorean theorem.
L2-analytic torsion can be thought of as a suitable generalization of the Ray-Singer analytic torsion.
QCDD models are presented as a suitable generalization of the classical drift-diffusion (DD) system, each particular model being identified by the constitutive relation for the quantum-correction to the electric potential.
The fBm is a suitable generalization of standard Brownian motion which exhibits long-range dependence.
The fBm is a suitable generalization of the standard Brownian motion, which exhibits long-range dependence, self-similarity and has stationary increments.
The fBm is a suitable generalization of the standard Brownian motion, but exhibits long-range dependence, self-similarity and which has stationary increments.
It is a suitable generalization of the standard Brownian motion B, which exhibits a long range dependence (when (H>1/2)), self-similarity, and Hölder's continuity, and which has stationary increments.
After deriving a suitable generalization of the Cahn Hilliard equation, we addressed phase separation for both an idealized regular solution and ternary feldspar.
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