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Our notations and methods are essentially due to Kim and Washington (cf. [22, 62]).
But discrepancies are present which are essentially due to local heterogeneity of the chemical composition.
These quantities are essentially due to first-principle kinetic processes that are eliminated in the framework of the MHD approximation.
The following first two results (Lemmas 3.1, 3.2) are essentially due to Ali et al. [[13], Lemmas 2.1, 2.10].
The two absorption maxima are essentially due to excitation of one symmetric (Mode-I) and one anti-symmetric mode (Mode-II) within the PBG.
In using ultrasonic non-destructive evaluation methods for composite laminates, some features appear which are essentially due to the heterogeneity of the material.
Similar(41)
There exists a class of solids called network solids in which the bonding is essentially due to a network of covalent bonds that extends throughout the solid.
This lemma is essentially due to [18].
This elegant axiom is essentially due to von Neumann.
This result is essentially due to Rellich [509] in 1943.
The line broadening is essentially due to the size effect.
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