Sentence examples for are always equivalent from inspiring English sources

If β is the result of relettering a bound variable in a wff α, then α and β are said to be bound alphabetical variants of each other, and bound alphabetical variants are always equivalent.

We also remark that a discrete function u and its matrix representation u are always equivalent notations for the same function.

The stable manifold is always equivalent to.

No, the amount of loss is always equivalent to the amount of greed.

Weed cover on inter-rows compacted by tractor wheels was always equivalent or higher than weed cover on rows.

Such a stable manifold is always equivalent to the basin of a uniformly attracting sequence of maps.

In other words, for a multi-site protein that undergoes a concerted conformational transition, as defined by the MWC model [1], the maximal cooperativity is always equivalent to the number of ligand-binding sites present and may be grossly underestimated on the basis of the Hill coefficient.

Rather, we measure a FRET signal that is always equivalent to Apo (no change from time zero).

It turns out that for any Hopf algebra such that (V) is of finite dimension these formal power series all converge in a neighbourhood (U) of the origin in (Vtimes V) and thus give an analytic map begin{aligned} Vtimes Vsupseteq Urightarrow V. end{aligned}This map is, in fact, a finite-dimensional local Lie group and these are always locally equivalent to simply-connected Lie groups.

In any case, most proponents of underdetermination insist on the idea of underdetermination in principle: the idea that there are always (plausible) empirically equivalent rivals no matter what evidence may come to light.

Through Sept. 9 Certain young artists are always aspiring to the equivalent of rock star status.