Sentence examples for order of the underlying from inspiring English sources
where we require in case that the order of the underlying differential equation is.
The latter is independent of the order of the scheme and the spatial order of the underlying differential equations.
Moreover, the model order of the underlying system is generally unknown and due to noise and model errors, usual statistical criteria cannot be used.
The key to controlled positioning of the QDs is to use the long-range order of the underlying pre-patterns to produce appropriate strain fields in the subsequent layers.
While these algorithms do improve visibility of small items in a single layout, they introduce instability over time in the display of dynamically changing data, fail to preserve order of the underlying data, and create layouts that are difficult to visually search.
Hence, the truncating lasso penalty provides an estimate of the order of the underlying VAR model.
Here Markov models of different orders for the underlying background genomes were used to calculate the expected counts of k-tuples.
Since flip is commutative, the order of resolving the underlying individual operations does not matter.
We also derive a fourth-order approximation to the boundary conditions to be consistent with the fourth-order discretization of the underlying differential equations.
The higher-order effect of the underlying microstructure in cortical bone is accounted for through the introduction of two length scale parameters and associated strain gradient terms which modify the response of the standard elastic macroscopic continuum: one internal length related to the longitudinal fibres and the other related to the transversal Haversian systems.
One of the most common approaches to estimating demand relationships is based on a direct differential approximation of the demand function, which generates a set of equations that are local first-order approximations of the underlying relationship between prices, quantities and income (Okrent and Alston 2011).
