Sentence examples for infinite factor from inspiring English sources
If M is an infinite factor, it follows that the dimension (the square root of the index) is an involutive homomorphism d: SectO M) → R+ of the semiring of sectors with finite index.
In the special case, when the operator ideal L 1,∞) is considered on a type I infinite factor, a bounded operator x belongs to L 1,∞) if and only if the sequence of singular numbers {sn(x)}n⩾1 (in the descending order and counting the multiplicities) satisfies ∥x∥(1,∞)≔supN⩾11Log(1+N)∑n="1Nsn(x)<∞.
This model is based on the work by Bhattacharya and Dunson (2011), which they term an "infinite" factor model.
As illustrated in Table 2, the range of factors is similar for both scenarios: fully unsupervised (infinite factor models) or estimated by underlying biological assumptions (generate and test).
Our prior is based on an infinite factor model (Bhattacharya and Dunson 2011), and so no a priori decision on k is needed.
As mentioned in 'Materials and Methods' section, the number of factors was determined in an unsupervised fashion, for every developmental stage range, using the sparse Bayesian infinite factor model.
If γ is Longo's canonical endomorphism for an irreducible graded standard AFD (approximately finite dimensional) inclusion N⊂M of infinite factors with finite index, then hϕ=(1/2) log(Ind Eγ), for the conditional expectation Eγ on γ(M).
There are infinite factors that can change the trajectory of EuroMaidan and it would take books to cover everything sufficiently.
Infinite multiplication factor and intra-Dancoff factor are evaluated for the three unit cells respectively.
A correction of the infinite multiplication factor was well achieved.
Chemical Engineering Science 52, 4547 4559], which uses the explicit DeCoursey equation with an infinite enhancement factor which is corrected for reversibility.
