Moreover, E ( ϵ ; ν ′, 1 ) is a set of 1-finite view in the sense of [13], [14] (see [13], Definition 2.1] for the definition of 1-finite view).
Alternatively, in the "finite future" view, a cosmic catastrophe at some definite time in the future may destroy the universe: space may collapse to a point, or perhaps a parallel sheet of space (a "brane") will collide with our universe, annihilating everything.
A religion that genuinely evokes, hints at, connects us to, and expresses the yearning for the Infinite and which generates within us ever deeper capacity for compassion, ought not to give us "reasons" to shore up our belief in some finite political view or candidate.
Nevertheless, the final detector of all images is invariably the human eye, and, whatever means is used to transmit and control the light, the final image must either be produced simultaneously or scanned so rapidly that the observer's persistence of vision will give him the mental impression of a complete image covering a finite field of view.
From a topological point of view, finite metric spaces do not contain any interesting information.
We assume here that, on its finite field of view L, the signal x is approximately band-limited with a cut-off frequency at B, i.e., its energy beyond the frequency B is negligible.
The characterization is field theoretic and depends upon modeling PG 3,q) by the finite field GF q4), viewed as a four-dimensional vector space over GF q).
(1) The most popular model for dealing with evil is found in the philosophy of Spinoza who regards both error and evil as distortions that result from the fragmentary view of finite creatures; phenomena real enough to the finite beings who experience them but which would disappear in the widest and final vision of God.
The finite element point of view leads to novel insights as well as improved numerical results.
