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In fact, the intuitionistic proofs of both statements are complex and deviate from the classical proofs (Coquand 1995, Veldman 2004).
The optimum interstage pressure, thus obtained, deviate from the classical estimate of geometric mean of gas cooler and evaporator pressure.
However, the experimentally measured nanofluids viscosities deviate from the classical model because these models relate viscosity as a function of volume concentration only and there is no consideration of temperature dependence and particle aggregation [77].
The results show that when one of the specimen's dimensions decreases to less than 10 times the correlation length of the strength field, the size effect starts to deviate from the classical size effect law.
The Cg1 (9.03) and Cg2 (168 K) values obtained from the WLF regression of these PILs greatly deviate from the classical WLF values originally obtained from the mechanical relaxation of uncharged polymers (Cg1 = 17.44, Cg2 = 51.6 K) and the WLF values obtained from the conductive properties of other polymer electrolytes.
The magnitude of these kinetic trends increases remarkably with the substitutions of both adjacent histidines at positions 13 and 14 with glycines, suggesting that the fibril formation kinetics of Aβ40 H13G and Aβ40 H13,14G deviate from the classical Finke-Watzsky mechanism.
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The exact analytical solutions presented here significantly broaden the range of analytical solutions available to formal kinetics regarding nuclei location deviating from the classical "randomly" located nuclei assumption.
When the conductivity deviates from the classical grain boundary conduction models, inhomogeneity is then considered and parameters such as the standard deviation and the mean potential barrier height are derived.
Investigations of the mechanical properties by hardness measurements and tensile tests revealed that at small grain sizes of less than ∼35 nm Cu 30% Zn deviates from the classical Hall Petch relation and the strength of nanocrsytalline Cu 30% Zn is comparable with that of nanocrystalline pure copper.
The Igbo language was used by John Goldsmith as an example to justify deviating from the classical linear model of phonology as laid out in The Sound Pattern of English.
Deviating from the classical Bayesian network formalism, we define arc variables, each with allowed values inhibit, activate, and no effect.
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