The phrase "a numerical sample is" is correct and usable in written English.
It can be used in contexts related to statistics, research, or data analysis when defining or describing a specific type of sample.
Example: "In our study, a numerical sample is essential for accurately measuring the effects of the treatment on the population."
Alternatives: "a quantitative sample is" or "a statistical sample is".
If the numerical sample is totally homogeneous its standard deviation is zero.
A total of 223 numerical samples were simulated and collected to train the networks with the independent variables being the initial water saturation, the vertical-to-horizontal permeability ratio, the WAG ratio, and the duration of each cycle.
The numerical samples are calculated as a long-time simulation of a single path with the splitting integrator Eq. (24) proposed in Sect.
The numerical samples were sheared up to large axial strains to reach a critical state.
A numerical concrete sample is carried out, using three-dimensional finite element mesh.
Thereby, it is shown that the NLMS algorithm, the Hammerstein group model (considered from this perspective here for the first time), and a numerical sampling scheme for nonlinear AEC can be derived from a unifying Bayesian network perspective.
Using probabilistic graphical models, the normalized least mean square algorithm (with fixed and adaptive step size), the Hammerstein group model and a numerical sampling scheme for nonlinear AEC can be represented in a unified way to serve as a powerful framework for future algorithmic development.
Numerical simulation of a sand production test on a perforated cylindrical sample is also performed.
To avoid high complexity of numerical modelling, soil properties of a representative sample were used to represent a clay deposit in the model.
From this investigation, it is therefore evident that the two numerical algorithms diverge in cases where the sample is much more in mineral components.
