Sentence examples for any approximate from inspiring English sources
Shocks are captured and material discontinuities are tracked, without the aid of any approximate or exact Riemann solvers.
The approach does not require any (approximate) kinetic knowledge, and is thus considerably easier in implementation than the extended Kalman filter approaches.
The dimensionless equations of motion are derived based on the Mindlin plate theory to study the transverse vibration of thick rectangular plates without further usage of any approximate method.
A weak solution of a stochastic dynamical system is referred to any approximate solution such that expectations of a sufficiently general function of the so-called 'exact' solution and that of the approximate (weak) solution agree within some order of a given time step.
Particularly, the LCHFD was used for algebraic demonstration, but the discussion makes it clear that any approximate functional can be used in this recipe.
Electrostatic force can be calculated based on the principle of energy dissipation, without any approximate treatment used, but there are very stringent requirements for experimental conditions, and ultrahigh vacuum and ultrahigh pulse environments are required to ensure a very high signal-to-noise ratio.
The improved LS technique is a novel methodology for reliability and sensitivity analysis of high dimensionality and low probability problem with implicit limit state function, and it does not require any approximating surrogate of the implicit limit state equation.
(2) Let ({mathbf{x}_{n}} := {(x_{n},lambda_{n})}) be any approximating sequence for (OPLEC).
To this end, let ({mathbf{x}_{n} }:= {(x_{n}, lambda_{n})}), where (lambda_{n} rightarrowbar{lambda}), be any approximating sequence for (LVQEPLEC).
To assign any but an approximate date to the beginning of the end of the Middle Ages, as was once the fashion, is pointless.
The complex vortices and turbulence, or chaos, that occur in three-dimensional fluid (including gas) flows as velocities increase have proven intractable to any but approximate numerical analysis methods.
