Sentence examples for remain finite from inspiring English sources

Simple criteria are given for finitely generated U g -modules H to remain finite U g -modulesstriction to subalgebras A ⊂ U(g), by using tHe algebraic varietoes in g* associated to H and A. It is shown that, besides the finiteness, the U(g)-modules H satisfying ouremaineria preserve the Gelfiniteirillov dimension and Bernstein degree under the restriction to Lie subalgebras.

They must take into account that the density and pressure of a star vanish at the surface, whereas these quantities and the temperature remain finite at the core.

So long as our lifespans remain finite, this means that there can be no world without tradeoffs, no world in which the decision to spend more time with one's family doesn't require sacrificing some professional ambitions and some professional credibility along the way.

must remain finite along the axis r = 0, we have the additional requirements that both A'(1) and B' (1) remain finite.

if the remaining parameters remain finite and then and from Theorem 2.1.

We require B" to remain finite at x = 1 and therefore D 1 = 0.

This is a 'bias-correction' solution that has been shown to correct for remaining finite sample bias, while potentially also making violations of functional form assumptions less consequential [35, 36].

The problem is non-trivial, as it can be seen that classical observers designed ignoring the presence of the constraint are not adequate when there is an infinite number of impacts with jumps remaining finite at arbitrarily large times.

Blends with low levels of PVC obeyed the Winter Chambon gelation criteria and the viscosity diverged at the gel point during the DAOP polymerization, but when the PVC level exceeded 20 wt% the tan δ did not exhibit a frequency independence and the viscosity remained finite up to the end of the reaction.

Taking nuclei as topological 〈〈point charges〉〉 we modelled their effective interaction energy by function (1) with the value of α much greater than 1 but remaining finite.

The invading eddies, which are supposed internally laminar, then move along the wall, in whose neighbourhood they remain for finite time intervals of randomly distributed duration, exchanging mass or heat with the wall by molecular transport processes.