where Pn,0(x) denotes the limit of Pn,r (x) as r → 0+ and where qi > 0, 1≤ i≤n, are positive real numbers with ∑n i=1qi = 1 and x = (x1,x2, . . . ,xn). In this note, we let q =minqi and always assume n≥ 2 and 0≤ x1 <x2 < ···<xn. We define An(x) = Pn,1(x), Gn(x) = Pn,0(x), and Hn(x) = Pn,−1(x) and we will write Pn,r for Pn,r (x), An for An(x), and similarly for other means when there is no risk ...

Cows that consume needles from Pinus ponderosa (PN) abort, but little is known about variables that affect consumption or response. These experiments were conducted to test the effects of several variables on pine needle-induced abortion. Cows were placed on experiment at 250 d of pregnancy and were either given ad libitum (AL) access to PN separate from other feed sources or the PN were ground...

We show how Turán’s inequality Pn(x) −Pn−1(x)Pn+1(x) ≥ 0 for Legendre polynomials and related inequalities can be proven by means of a computer procedure. The use of this procedure simplifies the daily work with inequalities. For instance, we have found the stronger inequality |x|Pn(x) 2 − Pn−1(x)Pn+1(x) ≥ 0, −1 ≤ x ≤ 1, effortlessly with the aid of our method.

The aim of this work is to evaluate the use phenalenone (PN) grafted sand in photodegradation tebuconazole (TEB). PN was covalently attached via click reactions between functionalized and derivatives. study conducted an annular reactor equipped with immersed UV visible lamps. In first step TEB studied presence free PN. influence molar ratio = PN/TEB investigated; a maximal effect observed R clo...

PURPOSE Protease nexin-1 (PN-1), a serpin encoded by the SERPINE2 gene, has serine protease inhibitory activity and neurotrophic properties in the brain. PN-1 inhibits retinal angiogenesis; however, PN-1's neurotrophic capacities in the retina have not yet been evaluated. Pigment epithelium-derived factor (PEDF) is a serpin that exhibits neurotrophic and antiangiogenic activities but lacks prot...

The bondage number b(G) of a nonempty graph G is the smallest number of edges whose removal from G results in a graph with domination number greater than that of G. Denote Pn × Pm the Cartesian product of two paths Pn and Pm. This paper determines the exact values of b(Pn × P2), b(Pn × P3), and b(Pn × P4) for n 2.

We have used purified protease nexin-I (PN-I) from human fibroblasts to develop a polyclonal antibody that specifically blocks the PN-I-mediated cellular binding of thrombin and urokinase. Anti-PN-I IgG did not inhibit the binding of 125I-epidermal growth factor-binding protein to fibroblasts, which is mediated by protease nexin-II, another cell-secreted, serine protease inhibitor that is disti...

peripheral neuroepitbelioma (pn) is a rare highly malignant tumor, classified in the group of small round cell tumors. we report eight cases of pn, based on histologic appearance and immunohistochemical staining for neuron-specific enolase (nse). electron microscopy was also performed in three cases. the tumors exhibited rapid local growth, leading to limb amputation in five cases. histological...

For paths Pn, G. Chartrand, L. Nebeský and P. Zhang showed that ac′(Pn) ≤ ( n−2 2 ) +2 for every positive integer n, where ac′(Pn) denotes the nearly antipodal chromatic number of Pn. In this paper we show that ac′(Pn) ≤ ( n−2 2 ) − n2 − b 10 n c + 7 if n is even positive integer and n ≥ 10, and ac′(Pn) ≤ ( n−2 2 ) − n−1 2 − b 13 n c + 8 if n is odd positive integer and n ≥ 13. For all even pos...

This report describes the first studies of inheritance of autoimmunity in inbred Palmerston North (PN) mice, a model of systemic lupus erythematosus (SLE). Mating of PN mice with the nonautoimmune DBA/2 strain produced evidence that PN disease had a recessive mode of inheritance. When PN mice were crossed with autoimmune NZB mice, female offspring from both crosses developed anti-DNA antibodies...