Sentence examples for approximate equivalence from inspiring English sources

The very greatest translations may become classics in their own right, of enduring literary excellence (the King James Version of the Bible, appearing in 1611, is an outstanding example), but on the whole the approximate equivalence of most translations to their originals seems to have a very short life.

Approximate equivalence, unitary equivalence up to arbitrarily small compact perturbations, is studied for representations of C∗-algebras and covariant representations of C∗-dynamical systems.

For C∗-dynamical systems (with a compact, abelian group acting) approximate equivalence is shown to be determined by certain associated representations of the fixed point algebra of the action.

Approximate equivalence for representations of C∗-algebras is shown to be determined by a trace condition, analogous to the trace condition for unitary equivalence of representations of finite groups.

The approximate equivalence between the self-generated wave and that induced by external excitation of the corresponding non-impinging shear layer is demonstrated by comparing amplitude and phase distributions.

A 10-fold competitor dilution was initially used over a wide range of concentrations to determine an approximate equivalence point.

The interrelations and the approximate equivalences (or dependences) among the flutter derivatives of a low-speed airfoil are analytically described.

Propensity score matching to approximate baseline equivalence between the treatment and comparison groups was chosen because it can reduce selection bias to an acceptable minimum, permitting a degree of causal inference in the absence of random assignment (Stuart and Rubin 2004).

Under the working assumption of approximate measurement equivalence, informative priors to define elastic constraints are used in these cases.

We classify unital monomorphisms into certain simple Z-stable C⁎-algebras up to approximate unitary equivalence.

In this paper we establish a direct connection between stable approximate unitary equivalence for *-homomorphisms and the topology of the KK-groups which avoids entirely C∗-algebra extension theory and does not require nuclearity assumptions.