Sentence examples for implicit variables from inspiring English sources
Over the past 75 years, estimates for the moments underlying Vinogradov?s mean value theorem have failed to achieve those conjectured by a factor of roughly log k in the number of implicit variables required to successfully analyse exponential sums of degree k.
An equation for blend viscosity proposed by Borisenkova et al. has been generalized to the form ln ηblend)/ ηmatrix) = a0 + a1ln ηmatrix/ηPLC) + a2ln2 ηmatrix)/ ηPLC), where a0, a1 and a2 are parameters for a given class of blends; the type of EP and the shear rate are implicit variables which define ηmatrix/ηPLC.
In determining the implicit variables predicting the observed variables based on theoretical assumptions, a varimax conversion was applied and five implicit variables were determined by the calculated basic variables analysis method.
To allow SED-ML to refer to such variables in a standard way, the notion of implicit variables has been incorporated into SED-ML.
Implicit variables were named in accordance with the specifications of these observed variables in the model and consisted of usefulness, popularity, ethics, barriers, and personal innovativeness.
Factors that did not meaningfully support these implicit variables and those with factor loadings of less than 0.600 were omitted from the model.
The relations between temperature rise and thermal error are formulated directly while taking the thermal expansion as an implicit variable.
Then, an explicit observer is given for implicit state affine systems whose dynamic involves an additional nonlinear term depending on the input, the output and the implicit variable.
Recently, a new high-order compact implicit variable mesh discretization for one-space-dimensional unsteady quasi-linear biharmonic problem was developed in [22].
Yet in most phylogenetic studies, time has been an implicit variable and not formally incorporated into the analyses.
Additional probabilistic models for implicit design variables are also developed to make the capacity model in explicit expression of only basic design variables and model parameters.
