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The state-dependent parameter form of the general transfer function (SDP TF) model is used to describe nonlinearity influencing these morphological data in two case examples.
(8) From the Legendre transformation, the extremal surfaces can be written in a parameter form: t=Phi_{u},qquad x=Phi_{v},qquad z= Phi_{w}.
Based on an empirical evaluation, we used a two parameter form for g, where g(n) = exp{φ1×ln(n)+φ2×ln(n)2}.
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The size of the c lattice parameter was related more to the pH of formation, with a smaller c lattice parameter forming at a pH less than 7 [45].
The parameter forms of 2C model in this paper are more simplified, and the model is decomposed into a STC sub-model and an incremental sub-model.
Therefore, the parameter forms of C1 and C2 will determine 2C model not only for its STC model, but also for its incremental model.
The distribution (22) is the three-parameter form of the sinh-normal (here, abbreviated by S-N) distribution (see, for example, Johnson et al. 1995b), and we denote a random variable U following distribution (22) as U∼S-N.
In the linear-in-parameter form, the utility function can be written as U nit = β n ' x nit + ε nit, (17 where x nit denotes observable variables, β n denotes a random parameter vector, and ε nit denotes an independently and identically distributed extreme value term.
It was found out that whereas the use of the CTD and SED criteria should be accurate enough even in their classical (or two-parameter) form for most geometries and distances of their application from the crack tip, the generalized form of the MTS criterion with at least four terms of the series should be applied, if the distance of its application is not less than 0.01 of the specimen width.
If so, these parameters form the components of V).
When the underlying parameters form complex (non-Gaussian) structured spatial connectivity patterns, classical variogram-based geostatistical techniques cannot describe the underlying distributions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com