Sentence examples for most linear growth from inspiring English sources

In this paper we show that in the presence of a Dirac magnetic monopole which admits a primitive with at most linear growth on the universal cover, the Floer homology in atoroidal free homotopy classes is again isomorphic to loop space homology.

By using Schaeffer's fixed-point theorem, they got the solvability under f satisfied at most linear growth and I k is bounded or f is bounded and I k satisfied at most linear growth.

The proof follows directly from the fact that the nonlinearities are locally Lipschitz continuous and all have at most linear growth.

In the above quoted papers, the presence of the nonlinear term a inside the differential operator influences the requirements about the differential operator Φ, which was assumed to be homogeneous, or having at most linear growth at infinity.

The solvability of (1.1) with (lambda equiv 1) has been extensively studied by several authors under the at most linear growth conditions; see Usmani [3], Yang [4], Del Pino [5], and Cabada [6].

Since u ∈ L∞, U has at most linear growth, and hence by Lemma 3, lim y → ∞ K ( i ) ( y ) U ( x - y ) = lim y → ∞ K ( i ) ( y ) U ( x + y ) = 0 (23).

Endochondral ossification of the growth plates accounts for most of the linear growth of the long bones of the horse [ 14- 16].

Growing at the most rapid recorded linear growth rate (1.48 mm/day, Pond 37), it takes 33 days from hatching at 5 mm to reach SVLm (~45 mm).

The two studies that had the most impact on linear growth [ 15, 21], also provided clear messages regarding the use of affordable home-prepared animal source products which indicates that giving messages specifically promoting the use of nutrient-rich animal products may have an impact on growth.

Fetal life in the marmoset is characterized by a relatively late implantation and a prolonged embryonic phase such that the fetal phase, during which most of the linear growth occurs, begins at 11/20 weeks gestation (Windle et al., 1999), compared with 7/40 weeks in the human (Phillips, 1976).

13 Notable elevations associated with shigellosis, 14 the enteric infection with the most pronounced impact on linear growth, 15 also supported its evaluation as a biomarker of intestinal permeability and protein wasting in the evaluation of environmental enteropathy.