The membership functions'
codomain is the interval [0,1].
If we now presuppose a Boolean
codomain for every valuation in M, [o,I] i.e.
A binary relation R from A (called domain of R) to B (called
codomain of R) is defined by a subset G of A * B.
This corollary reveals that eNB densities, transmit powers and association biases influence the function domain horizontally by spanning or squeezing the curve shape rather than the
codomain of joint coverage probability.
Explicitly, J* takes a simplicial set to the presheaf on [nabla] obtained by forgetting all but the last degeneracy map; and [Ran.sub.J] takes a presheaf X on [nabla] to the simplicial set whose n-simplices are families {[x.sub.f] [member of] [X.sub.j]} labelled by morphisms f: j [right arrow] n in [DELTA] such that for all morphisms w of
codomain j in [nabla], the identity w* ([x.sub.f]) = [w.sub.f.w] holds (where w* denotes the image of w under the functor X: [[nabla].sup.op] [right arrow] Set).
Since the free-flow speed becomes a parameter now, it is convenient to express the BPR function with the
codomain being speed rather than delay; the plotted function shape is now different due to using (3) instead of (1).
These two volumes constitute a mapping whose domains are the voxels coordinate (x, y, z) and
codomain is a grey-level value ranging from 0 to 255.
If G is self-adjoint with the same domain and
codomain on a Hilbert space of finite dimension then the operator is Hermitian and in particular symmetric if the Hilbert space is real.
The domain of this function may be pictured as the collection of electoral districts of a country, and its
codomain as the parliament of their representatives.