Sentence examples for quantities defined from inspiring English sources

With these quantities defined, we can re-examine the solution to the MMSE criterion.

Stereology is a body of methods that allow unbiased and efficient estimation of geometric quantities defined in arbitrary physical structures.

It should be noted that the quantities defined are related to the signal intensity measured at the detector.

This will still rule out local observables since any quantities defined at points or regions of the spacetime manifold will clearly fail to be diffeomorphism invariant.

The latter also, makes it possible to evaluate the quantities defined in the IEEE Standard 1459-2010 by means of harmonic sequence components.

Through our experiments, we hope to demonstrate that our novel manifold splines are both powerful and efficient in modeling arbitrarily complicated geometry and representing continuously varying physical quantities defined over shapes of arbitrary topology.

Meanwhile, Descartes had observed the same basic principle of analytic geometry, that equations in two variable quantities define plane curves.

Conventional theories and experiments about magnetism assume that materials are in what is called "equilibrium," a condition in which the quantities defining a system (temperature, pressure, magnetization) are either constant or changing only very slowly.

Let be the quantity defined in (6.5).

Consider an auxiliary quantity, defined as (2.19).

We want to prove that the quantity defined in Equation (30) is not positive.