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The generalized property (w) and generalized a-Weyl's theorem are also independent; see [21].
T ∈ L X X ) is said to satisfy the generalized property (w), in symbol, ( g w ), if σ a ( T ) ∖ σ ubw ( T ) = E ( T ).
Motivated by this observation, we intend to study the generalized property of energy decay for the initial mixed boundary value problem (1.1 - 1.4 1.1 - 1.4e techniqusing perthebatechniquegy.
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As generalization of sinusoidal function, an IMF is required to satisfy the following generalized properties.
Compared to a sinusoidal function, an IMF satisfies the generalized alternating property and the generalized zero-mean property, and relaxes the amplitude and frequency from being constant to being generally time-varying.
The discrete responses of the two rock types on cross-plots further highlights the differences in their elastic properties and will therefore negate many generalized rock property relationships such as Gardner et al. (1974).
We prove a generalized associativity property, and obtain associativity proofs for prior models as a by-product.
The generalized dissipation property is completely characterized in terms of a partial differential inequality, interpreted in the viscosity sense.
However, the accuracy of the results is often limited when there is a verbatim application of generalized rock property relationships.
Accumulated fatigue damage modeling is employed as a damage estimation rule based on generalized material property degradation.
This behavior unveils spatial dependencies on SU operation along with a generalized Markov property that motivate our following MRF-centered analysis and formulation.
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