Sentence examples for by a suitable generalization from inspiring English sources
The modern version of Euclidean geometry is the theory of Euclidean (coordinate) spaces of multiple dimensions, where distance is measured by a suitable generalization of the Pythagorean theorem.
The fBm is a suitable generalization of standard Brownian motion which exhibits long-range dependence.
QCDD models are presented as a suitable generalization of the classical drift-diffusion (DD) system, each particular model being identified by the constitutive relation for the quantum-correction to the electric potential.
L2-analytic torsion can be thought of as a suitable generalization of the Ray-Singer analytic torsion.
After deriving a suitable generalization of the Cahn Hilliard equation, we addressed phase separation for both an idealized regular solution and ternary feldspar.
The geometric imperfection is obtained from the buckling mode by a suitable scaling procedure using a generalization of Dutheil's method.
Once optimized to ensure suitable generalization with the best discrimination performance, models with inadequate calibration were recalibrated by applying a cubic monotonic transformation (see Part I of the study) to the ranked predicted probabilities, so as to reach a more reliable estimation of morbidity probability.
Another proof can be done by just using reversed form of suitable generalizations of Beckenbach-Dresher's inequality with (p=alpha/ (alpha-beta) ) and letting (alpha,betarightarrow 0) in the corresponding generalized Gini-means (G alpha,beta)).
Finish by painting with a suitable sealant.
For this generalization, the Łukasiewicz triplet is shown to be a suitable choice for the fuzzy De Morgan triplet.
Then to check whether \(\mathcal{D}\) is a valid derivation, it suffices to check whether each of its \(n\) lines (where \(n \lt \lvert \mathcal{D}\rvert\) – the size of \(\mathcal{D}\) under a suitable binary encoding) is an axiom of \(\mathsf{ZFC}\) or follows from earlier lines by modus ponens or universal generalization.
