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- W87677202 abstract "The theorem of the sufficient condition for a wave crest with a given very large elevation and the theorems of the sufficient and the necessary conditions for a wave with a given very large height are proven. These theorems imply that: if a wave crest of given exceptionally large elevation occurs at some point x o , y o , the random surface elevation and the relevant velocity potential will be close to well-defined deterministic functions η 1 ¯, ϕ 1 ¯ in a neighborhood of x o , y o ; and likewise, if a wave of given exceptionally large height occurs at some point x o , y o , the random surface elevation and the relevant velocity potential will be close to well-defined deterministic functions η 2 ¯, ϕ 2 ¯ in a neighborhood of x o , y o . To follow the proofs given in this chapter it is necessary to know the basic concepts of stationary Gaussian processes given in Sections 4.1 and 4.2." @default.
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- W87677202 date "2015-01-01" @default.
- W87677202 modified "2023-09-26" @default.
- W87677202 title "The Theory of Quasi-Determinism" @default.
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- W87677202 doi "https://doi.org/10.1016/b978-0-12-800343-5.00008-1" @default.
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