The articles [8], [11], [10], [5], [1], [7], [12], [4], [3], [2], [9], and [6] provide the notation and terminology for this paper. In this paper i, j, k, k1, k2, n, m, i1, i2, j1, j2 are natural numbers. Let us consider i1, i2. We say that i1 and i2 are adjacent if and only if: (Def. 1) i2 = i1 + 1 or i1 = i2 + 1. One can prove the following propositions: (1) For all i1, i2 such that i1 and i2...

Proof. Suppose π̄ / ∈ Πm,n. Then ∃i, j1 < j2 such that π̄i,(j1)w < π̄i,(j2)w , i.e. such that π̄i,(j1)w = 0 and π̄i,(j2)w = 1. This means that π̄ ranks x + i above x−(j1)w but below x − (j2)w . Now let us construct from π̄ an ordering π̄ in which the instances x−(j1)w and x−(j2)w are swapped, i.e. for all i ′ with π̄i′,(j1)w = 0 and π̄i′,(j2)w = 1, we set π̄ ′ i′,(j1)w = 1 and π̄ i′,(j2)w = 0. Then it can ...

Explicit formulas for general order multivariate Padé approximants of pseudo-multivariate functions are constructed on specific index sets. Examples include the multivariate forms of the exponential function E (x) = ∞ ∑ j1,j2,...,jm=0 x1 1 x j2 2 · · ·x jm m (j1 + j2 + · · ·+ jm)! , the logarithm function L(x) = ∑ j1+j2+···+jm≥1 x1 1 x j2 2 · · ·x jm m j1 + j2 + · · ·+ jm , the Lauricella funct...

Penetration, development, and reproduction of a virulent 'Harmony' population of Meloidogyne arenaria was studied on two nematode-resistant grape rootstocks 10-17A and 6-19B. 'Cabernet Sauvignon' was used as a susceptible control for comparison. Plants were inoculated with 100 freshly hatched second-stage juveniles (J2) of M. arenaria. Greater numbers of J2 penetrated roots of 'Cabernet' than 1...

A macroscopic approximation of RNA secondary structure (Vialette, CPM 2002): • a subsequence of consecutive bases → an interval • a stacked pairing of two disjoint subsequences → a 2interval Three Binary Relations For two 2-intervals D1 = (I1, J1) and D2 = (I2, J2), D1 and D2 are disjoint if the four intervals I1, J1, I2, and J2 are pairwise disjoint. Preceding: D1 < D2 ⇐⇒ I1 < J1 < I2 < J2. Ne...

The presence of calcium and humic substances or natural organic matter (NOM) in surface waters can cause severe fouling of nanofiltration (NF) membranes. Conditions of fouling were studied using a stainless steel stirred cell of volume 185 mL and a membrane area of 21.2*10-4m2 at a transmembrane pressure of 5 bar. Deposition of organic matter was determined by mass balance in feed and concentra...

IPEC-J2, a promising in vitro model system, is not well characterized especially on the transcriptional level, in contrast to human counterparts. The aim of this study was to characterize the gene expression in IPEC-J2 cells when coincubated with enterotoxigenic Escherichia coli (ETEC), nonpathogenic E. coli, and E. coli endotoxin. Apical infection of polarized IPEC-J2 monolayers caused a time-...

The inclusion of the linearized J2 effect in the Hill equations of relative motion gives greater insight into satellite formation flying dynamics, and the opportunity to investigate alternative feedback control strategies for the station keeping task. The work of Schweighart and Sedwick is verified and extended as time varying and analytical models are developed to incorporate the J2 perturbati...

Several factors were studied to determine their effects on hatch and emergence of second-stage juveniles (J2) from cysts of Heterodera zeae. The optimum temperature for emergence of J2 from cysts of H. zeae was 30 C. No juveniles emerged from cysts at 10 or 40 C. Immersion of cysts in 4 mM zinc chloride solution stimulated 10% greater emergence of J2 than occurred in tap water controls during 2...

A new in vitro anti-tumor polypeptide, coded as J2-C3, was isolated from Arca inflata Reeve and purified by diethyl-aminoethanol (DEAE)-sepharose Fast Flow anion exchange and phenyl sepharose CL-4B hydrophobic chromatography. J2-C3 was identified to be a homogeneous compound by native polyacrylamide gel electrophoresis (Native-PAGE). The purity of J2-C3 was over 99% in reversed phase-high perfo...