Sentence examples for raising differentiation from inspiring English sources

(3.6) If in (3.6) we substitute (3.3), compare even and odd parts, and then substitute (3.1), then we see that (3.6) is equivalent to a pair of lowering and raising differentiation formulas for Bessel functions (see [14], (10.6.2)): J_{alpha }'(x)- frac{alpha }{x} J_{alpha }(x)=-J_{alpha +1}(x),qquad J_{alpha +1}'(x)+frac{alpha +1}{x} J_{alpha +1}(x)=J_{alpha }(x).

Applying these equations, we give new proofs for some standard identities for the Bernstein basis functions, including formulas for sums, alternating sums, recursion, subdivision, degree raising, differentiation and a formula for the monomials in terms of the Bernstein basis functions.

In the present study, addition of NT3 significantly raised the differentiation of neurons by about 40% (Fig. 4 i).

Decrease in the value of the variation coefficient indicates, that as the XG content raises, the differentiation of air bubble size suspended in liquid declines.

Several of the EtoL regions recapitulated developmental changes that occur during ES cell differentiation, raising the possibility that the observed changes might be an indirect result of cell differentiation after BAF250a loss.

Induced pluripotent stem cells (iPSCs) resemble embryonic stem cells (ESCs) in morphology, gene expression and in vitro differentiation, raising new hope for personalized clinical therapy.

Recently, homotypic interaction of CD27 and CD70 expressed by B cells was also reported to be sufficient for B-cell differentiation, raising the possibility that B cells may be able to regulate themselves by CD27 CD70 interactions [ 72].

In this model, the profile of the endogenous RASSF9 gene expression is similar to that of the p21Cip1 expression with a dual pattern in primary keratinocyte differentiation, which was up-regulated by raising calcium to trigger early differentiation, but down-modulated in keratinocytes under terminal differentiation.

The government's emphasis on the importance of raising standards, and the differentiation through faith schools and specialist schools, is aimed at demonstrating that schools funded by the public can achieve high standards for different black and minority ethnic groups.

Taken together, the results demonstrate that disabling the expression of either Ret or TrkB causes a failure in RA-dependent cell differentiation, thus raising the question of the existence of a cooperative cross-talk between TrkB and Ret in neuroblastoma cells.

In the absence of Mbd3, NuRD is not able to limit expression of pluripotency genes, effectively raising the barrier to differentiation.