Also, we establish the existence theorems for a best proximity point for mappings in this class under the assumptions of approximate compactness and non-approximate compactness of subspaces.
The acceleration and deceleration characteristics of storage and retrieval (S/R) machine are considered based on non-approximate speed model of S/R machine.
Equation 8 counts the number of non-approximate elements in S and T, using the parameters α and β as experience values.
In such cases, the use of the rank-1 formula yields exact non-approximate solutions which are identical to those obtained by other conventional formulas.
In the case of an ideal (non-approximate) quantum measurement, this special decomposition coincides with that defined by the eigenstates of the measured observable and the corresponding pointer states, and the interpretation thus appears to solve the measurement problem (for this case at least).
The method of CF-MLSM based RBDO has been shown to not only ensure constraint feasibility in a case where the meta-model-based RBDO process is employed, but also to require low expense, as compared with both conventional MLSM and non-approximate RBDO methods.
With non-Gaussian noise approximated by Gaussian mixtures, the non-Gaussian noise models are approximated by banks of Gaussian noise models.
The non-synonymous rate of each alternative exon type (CES or non-CES) approximates the corresponding constitutive type, such that, at high inclusion levels, alternative and constitutive exons of the same type have indistinguishable dN distributions.
Therefore, instead of direct non-linearity in the model itself non-linearity was approximated rather by a sequence of linear models parameterized on different pressure levels.
On the other hand, each subgroup of alternative exons (CES and non-CES) approximates the average dN of the corresponding type in constitutive exons at high EST-inclusion levels.
The transverse deflection is approximated non-uniformly to explicitly account for the transverse strain due to temperature and electric potential.
