Note that, in general, if ℛ is a generator of a stochastic order and g and f are ⪯-comonotonic functions for all f ∈ R, g is not necessarily an element of ℛ.
In particular, (gamma_{3}) is a generator of (Gamma_{2}cong mathbb{Z}) and (tilde{gamma}_{1}), (tilde{gamma}_{2}) generate (Gamma_{1}/Gamma _{2}cong mathbb{Z}^{2}).
And there is a generator.
More than race and more than gender, prejudice against religions is a generator of mistrust and hate like no other.
"And English is a generator of local kinds of identity whether through spoken forms, film or literature as in India".
"There are no viable public spaces without communities, and no viable communities without public space: public space is a generator of democratic cities".
The source of energy for the various electrical devices of the automobile is a generator, or alternator, that is belt-driven from the engine crankshaft.
Proof We have that F ⪯ ′ is a generator of ⪯ ˜.
Each item type is a generator for multiple isomorphic problems.
Let ℛ be the above class of mappings which is a generator of ⪯ ˜.
By [23], Section 1.14], Q t is a generator of an analytic semigroup in F.
