We have stated in the last chapter another theorem of ergodic character, due to von Neumann, which states that except for a set of elements of zero probability, any element belonging to a system which goes into itself under a group of measure-preserving transformations such as Eq. 3.15 belongs to a sub-set (which may be the whole set) which goes into itself under the same transformation, which has a measure defined over itself and also invariant under the transformation, and which has the further property that any portion of this sub-set with measure preserved under the group of transformations either has the maximum measure of the sub-set or measure 0. vs. A Saturday afternoon in November was approaching the time of twilight, and the vast tract of unenclosed wild known as Egdon Heath embrowned itself moment by moment. vs. Judgment of any system, or a priori relationship or phenomenon exists in an irrational, or metaphysical, or at least epistemological contradiction to an abstract empirical concept such as being, or to be, or to occur in the thing itself, or of the thing itself.
Posted on: Mon, 24 Mar 2014 20:49:57 +0000
Trending Topics
Recently Viewed Topics
© 2015