A uniformly continuous function is defined as one where inverse images of entourages are again entourages, or equivalently, one where the inverse images of uniform covers are again uniform covers.
32.
Each such inverse image is formed by the 8 neighbors, along a fixed coordinate direction of the 7-cube, of the half of the Hamming code having a fixed weight, 0 or 1.
33.
In other words, an " E "-category is a fibred category if inverse images always exist ( for morphisms whose codomains are in the range of projection ) and are " transitive ".
34.
In mathematics, a "'quasiconvex function "'is a convex subset of a real vector space such that the inverse image of any set of the form (-\ infty, a ) is a convex set.
35.
A cleavage is called " normalised " if the transport morphisms include all identities in " F "; this means that the inverse images of identity morphisms are chosen to be identity morphisms.
36.
I tried taking a limit point of the range and a sequence converging to it and thereby tried to show that the limit point has an inverse image but nothing came out of it.
37.
Clayton's first vision is of a fearsome manlike figure in the distance, which turns out to be a vicious ape, the inverse image of his future son, an apelike figure who turns into a man.
38.
He helped lead the development of many of these photon-sorting techniques; he also leads a major effort dedicated to the development of three-dimensional inverse image reconstruction techniques using a sequence of time-resolved two-dimensional images for optical mammography.
39.
The " existence theorem " for the twisted inverse image is the name given to the proof of the existence for what would be the counit for the comonad of the sought-for adjunction, namely a natural transformation
40.
With respect to the algebra of subsets, by the above we see that the inverse image function is a lattice homomorphism while the image function is only a semilattice homomorphism ( it does not always preserve intersections ).
