Sentence examples for setting of approximations from inspiring English sources

We establish new rigorous upper and lower bounds for the network complexity in the setting of approximations in Sobolev spaces.

We think of a point as a set of approximations.

A new set of approximations to the standard TEOS-10 equation of state are presented.

Finally, a set of approximations of three different experimental textures determined with this solution scheme is presented and discussed.

Within each of these, a short wave asymptotic analysis is carried out, resulting in a set of approximations which provide explicit relationships between phase speed and wave number.

First, we implement ANFIS (Adaptive Neuro-Fuzzy Inference System) on the set of grid intersection crisp data points and derive a coherent set of approximations per each potential discrete location and evaluation criterion.

In every generation, a new set of approximations is built by the process of selection of the best member based on their fitness degree within the range of the problem and by reproduction via operators derived from natural genetics.

A method to derive the terms of optimized cluster expansion for the one particle distribution functions of ions and dipoles which provide a set of approximations beyond the MSA is given.

A set of approximations is applied to the CEI to produce a non-unique simplified EI (SEI), which is in the strict force-flux form needed to guide the formulation of closure relations.

In the 802.11ad channel model [6], the set of approximations was proposed for diagonal and off-diagonal elements of the channel matrix H for the first- and second-order reflections in typical indoor environments (conference room, cubicle, and living room) as a combination of log-normal and uniform distributions on the base of experimental studies [22].

In each generation, a new set of approximations to the solution is created by a process of selecting individuals according to their level of fitness in the problem domain and breeding them together with operators borrowed from genetics such as crossover, mutations and selections.