G] whose objects are pairs (Q,F : Q [right arrow]* G) consisting of a groupoid and a star injective functor
from this groupoid to the group G, and whose morphisms are functors
between groupoids which entwine their respective star injective functors
to G .
With these Hardy inequalities, the Hardy inequalities on rearrangement-invariant Hardy space are established by using the interpolation functor
introduced in .
A quantum screen network (QS) can be defined as a Functor
from the edge screen network ES to the category of Hilbert spaces.
Definition 2 A species (with restrictions) is a contravariant functor
But since verbs take nouns as an argument only via functors
, the valency is rather more extended.
is a mapping from one category to another, preserving the categorical structure.
What distinguishes the PGI effort from source translators such as swan and mcuda; the ocelot open emulator and PTX translation project; or the ability of the NVIDIA nvcc compiler to generate both x86 and GPU based functors
with thrust is:
Among the topics are graded vector spaces, bilax monoidal functors
in homological algebra, higher monoidal categories, universal constructions of Hopf monoids, Hopf monoids in colored species, deformations of Fock functors
, and decorated Fock functors
The narrative function is losing its functors
, its great hero, its great dangers, its great voyages, its great goal.
Mazzola and Andreatta insist that music and mathematics involve common structures that can be related by the notion of adjoint functors
Thus a hierarchial evolutive system is then an evolutive system in which the state category at each value t is hierarchial and the transition functors
preserve the levels.
are very useful in modern algebraic geometry, e.