Given any -tuple ( s1, s2, . . . , s ) of positive integers, there is an integer N = N ( s1, s2, . . . , s ) such that an orthogonal design of order 2 ( s1 + s2 + · · ·+ s ) and type ( 2s1, 2 s2, . . . , 2 s ) exists, for each n ≥ N . This complements a result of Eades et al. which in turn implies that if the positive integers s1, s2, . . . , s are all highly divisible by 2, then there is a ful...

Let (Bδ(t))t≥0 be a Brownian motion starting at 0 with drift δ > 0. Define by induction S1 = − inf t≥0 Bδ(t), ρ1 the last time such that Bδ(ρ1) = −S1, S2 = sup 0≤t≤ρ1 Bδ(t), ρ2 the last time such that Bδ(ρ2) = S2 and so on. Setting Ak = Sk + Sk+1 ; k ≥ 1, we compute the law of (A1, · · · , Ak) and the distribution of ((Bδ(t + ρl) − Bδ(ρl) ; 0 ≤ t ≤ ρl−1 − ρl))2≤l≤k for any k ≥ 2, conditionally ...

Gap junctions and sodium channels are the major molecular determinants of normal and abnormal electrical conduction through the myocardium, however, their exact contributions to arrhythmogenesis are unclear. We examined conduction and recovery properties of regular (S1) and extrasystolic (S2) action potentials (APs), S1S2 restitution and ventricular arrhythmogenicity using the gap junction and ...

This study was carried out to investigate the direct and indirect responses to selection for four-week body weight (4 week body (wk BW)) and four-week breast weight (4 week breast weight (wk BRW)) and to determine the genetic contribution of reminder founders to the last generation. A total number of 351 birds were equally allocated to three lines, including two selected lines (S1 and S2 for BW...

Levels of mRNA for the two 3-hydroxy-3-methylglutaryl coenzyme A (HMG-CoA) synthases, (HMG-S1 and HMG-S2), and for HMG-CoA reductase (HMG-R) of Blattella germanica were analyzed in the fat body during the first gonadotrophic cycle. HMG-S2 and HMG-R showed the highest mRNA levels on day 0 and decreased thereafter, whereas HMG-S1, showed faint expression. Western blot using specific antibodies fo...

The Mn K-edge x-ray absorption spectra for the pure S states of the tetranuclear Mn cluster of the oxygen-evolving complex of photosystem II during flash-induced S-state cycling have been determined. The relative S-state populations in samples given 0, 1, 2, 3, 4, or 5 flashes were determined from fitting the flash-induced electron paramagnetic resonance (EPR) multiline signal oscillation patte...

this research investigate the potential of rhizobium leguminosarum b.v .phaseoli to improve growth and nutritional status of common bean (akhtar cultivar) at three levels of salinity of s0, s1 and s2 (0, 35 and 70 mm sodium chloride, or 0, 3 and 6 ds/m, respectively). the greenhouse experiment was conducted as a factorial design in randomized completely with three replications by using the ster...

From now on X denotes a set and S denotes a family of subsets of X. Now we state the propositions: (1) Let us consider sets X1, X2, a family S1 of subsets of X1, and a family S2 of subsets of X2. Then {a×b, where a is an element of S1, b is an element of S2 : a ∈ S1 and b ∈ S2} = {s, where s is a subset of X1 ×X2 : there exist sets a, b such that a ∈ S1 and b ∈ S2 and s = a × b}. Proof: {a × b,...

Proposition 1. Consider two stocking policies s1 and s2 where for some j , s2 j = s1 j − 1, s2 j−1 = s1 j−1 + 1, and s2 i = s1 i , ∀ i = j j − 1. We have that: (i) ILi s2 i s 2 N ≥ ILi s1 i s1 N for i ∈ 1 j − 1 , and (ii) ∑j i=1 Bi i s 2 i s 2 N ≥ ∑j i=1 Bi i s 1 i s 1 N . Proof. From (6) and (7) we find that ILj s2 j s 2 N = ILj s1 j − 1 s1 j+1 s1 N = ILj s1 j s1 N − 1. Thus from (8) and (9), ...

We work on the uniqueness [1] of representations of the holonomy-flux algebra in loop quantum gravity. We argue that for analytic diffeomorphisms, the flux operators can be only constants as functions on the configuration space in representations with no anomaly, which are zero in the standard representation. In loop quantum gravity, the configuration variables are holonomies he[A] of a connect...