Sentence examples for a finite factor from inspiring English sources

We also show that there is no such example with M or ˆM a finite factor.

We also investigate the extreme points of N(M), the convex compact set (in the pointwise weak topology) of normalized unitarily invariant norms (the norm of the identity operator is 1) on a finite factor M. We obtain all extreme points of N M2(C)) and some extreme points of N(Mn(C)) (n⩾3).

In this paper, an element stiffness matrix of a beam with a crack is first derived from an integration of stress intensity factors, and then a finite element model of a cracked beam is established.

We prove that these inequalities are in fact true for elements of an arbitrary finite factor.

Let Mn be a sequence of finite factors with dim(Mn)→∞ and denote by M="∏ωMn their ultraproduct over a free ultrafilter ω.

View factor between a finite extension element and an infinitesimal element.

A formal component model for cognitive programming uses N factors on a finite set of factors F (i.e., (f_{i}in F (i = 1, 2, {ldots },N))), their direct bonds (influences) (c_{ji} in C) (where (c_{ji}) denotes the interference (interrelation) between the factors (f_{j}) and (f_{i})), and C (which is the set of the factors' influences).

In the case when M is a semifinite non-finite factor, we show that our assumptions on E 0,∞) are sharp.