Sentence examples for behavior of a b-bistochastic from inspiring English sources

The following theorem describes the limiting behavior of a b-bistochastic on a one dimensional setting.

Now we are ready to formulate several properties of a b-bistochastic q.s.o.o

In this section, we provide some basic properties of a b-bistochastic q.s.o. in a general setting.

From the results, it is natural to ask the following question: Is there a trajectory of a b-bistochastic q.s.o. which converges to a fixed point different from ((0,0,dots,1))?

The theorem proved allows one to find all extreme points of the set of a b-bistochastic q.s.o. on 2D simplex, which can be considered as one of the future studies that can be done.

Then, by the definition of a b-bistochastic q.s.o., we obtain mathcal{U}_{1}bigl(V^{(m+1)}({mathbf{x}} bigr) leq mathcal{U}_{1}bigl(V^{(m)}({mathbf{x}} bigr) quad mbox{for all } m in {mathbb{N}}.

Let V be a b-bistochastic q.s.o.o

with respect to the b-order, and call it a b-bistochastic q.s.o.o

We include several properties of the b-bistochastic q.s.o. and descriptions of all b-bistochastic q.s.o.o

By (mathcal{V}_{b}) we denote the set of all b-bistochastic q.s.o.o

The behavior of aurora A and B kinases in mitosis is well-known.