Sentence examples for remained finite from inspiring English sources

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.

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.

Dimensionless variables that remain finite for all Mach numbers are used.

Nodes at (x=pm1) do not occur for any n, not even in solutions that remain finite at these endpoints.

When all the components of a dynamic system remain finite, we say such a system is stable.

However, numerical examples indicate that the solutions of the one-way wave equations remain finite and smooth near caustics.