Sentence examples for formulation of the standard from inspiring English sources

The complete formulation of the standard model predicts an as yet unobserved Higgs mechanism, but observations such as neutrino oscillations indicate that the standard model is incomplete.

(Equation (2) and Equation (3) represent an alternative equivalent formulation of the standard linear model of vessel mechanics).

It is clear from the formulation of the standard estimator (1, see Methods and Additional file 1: Figure S2) that shared rare alleles can have a substantial influence on estimates in the GRM.

Although the convergent conception of the standard view accords religious reasons a potentially decisive role in defeating state coercion, and so accords religious reasons a much more prominent role in the justification of state coercion than religious reasons have on most alternative formulations of the standard view, it is also consistent with the DRR.

The matrix formulation of this standard model is (1) Y | X ∼ N X β, Δ + τ 2 I where Y is a column vector containing the Y i, X is the n× p design matrix (sometimes referred to as the model matrix) whose ith row is x i, Δ = diag (σ i 2 ) (i.e. Δ is the diagonal matrix containing the σ i 2 ) and I is the n× n identity matrix.

From the experimental results and the comparisons with other well-known techniques in the literature, we have shown that the incorporation of such prior information in the formulation and derivation of the standard FCM algorithm has indeed offered a considerable enhancement in the performance of the algorithm even at high degrees of noise.

But whole-brain theorists tend to agree that these individuals are dead that the residual functions are too trivial to count against a judgment of death (see, e.g., President's Commission 1981, 28 29; Bernat 1992, 25)—suggesting that the problem lies with the formulation of the whole-brain standard rather than with its spirit.

The local uncertainty principle was demonstrated in [12] by defining local quantities as conditional standard deviations, while the standard formulation of the uncertainty principle is in terms of global standard deviation.

The novel nature of this investigation requires the formulation of a standard protocol for consistent image acquisition using the 3dMD facial imaging system.

This may be a result of the generally insufficient participation of women (at most, 30% of the study population in the last century) in the majority of significant trials; this underrepresentation has influenced the formulation of the currently available standards and guidelines (5– 7).

This innovative formulation succeeds in overcoming the limitations of the standard formulation and provides accurate results within the vicinity of the shear bands, specifically without suffering from mesh dependency.