Sentence examples for quantitative formulations from inspiring English sources

As a consequence, we show that if A is a masa and u∈N is a unitary such that A and uAu∗ are close, then u must be close to a unitary which normalizes A. These qualitative statements are given quantitative formulations in the paper.

First, it forces us to specify quantitative formulations about the interactions, which improves testability of the hypotheses involved.

The conditions that pertain to equilibrium may be given quantitative formulation.

Heisenberg's uncertainty inequality is a precise quantitative formulation of the above principle.

Thus, the quantitative formulation of tortuosity factor is urgently needed in this regard.

The developed model creates a quantitative formulation between the input data (SARA fraction data) and the target value (crude oil RI).

Such models will be essential tools for the development of silvicultural prescriptions by scenario analysis and for the quantitative formulation of guidelines.

Current work is aimed to offer an innovative algorithm based on optimized SVR for creating a quantitative formulation between the RI of crude oil and SARA fraction data.

Quantitative formulation between gas chromatography data and saturation pressure is a potent tool for estimation of saturation pressure in a cheap, fast, and precise way.

The quantitative formulation did reflect the significant modulation of creep damage kinetics by the in situ transformation of δ-ferrite in the weld metal to embrittling phases.

In this study, a quantitative formulation between oil FVF and available oil properties, including gas specific gravity, temperature, stock-tank oil gravity, and solution gas oil ratio was established using fuzzy logic.