Sentence examples for a weak unit from inspiring English sources

Depending on the fact that either the lattice contains a weak unit or not, either vector measures on σ-algebras or on δ-rings must be used.

This result generalizes [[29], Theorem 4] where E has a weak unit in E a. Remark that our proof differs from the one given in [[29], Theorem 4].

If the existence of a weak unit is not assumed, the result remains true but for ν defined on a δ-ring.

Curbera proved in [[26], Theorem 8] that an order continuous Banach lattice F with a weak unit is always order isometric to a space L 1 , where ν is defined on a σ-algebra.

However, this setting is not rich enough for our analysis, since vector measures on σ-algebras can only be used for representing Banach lattices which have a weak unit, and our needs require to work in a more general context.

Again, the corresponding result in the case when F has not a weak unit can be established by using a vector measure defined on a δ-ring as Delgado and Juan proved in [[27], Theorem 10].

General Cucolo said the policy had been intended to emphasize the problems created when pregnant soldiers go home and leave behind a weaker unit.

When you do engage your enemy start off with your MK (mountain king) with a hammer to any weak units/heroes they have.

"It has always been a weak monetary unit, while now all Europeans' money will have the same value.

The verb "to zerg" has entered general usage as a gaming term to refer to the tactic of zerg rushing an opponent with a very large force of weak units.

His order to kill off weak units and beat a path away from consumer electronics to household appliances, car batteries, solar energy and lighting sets him on a restructuring route that his rivals are not taking.