let e be an edge of a g connecting the vertices u and v. define two sets n1 (e | g) andn2(e |g) as n1(e | g)= {xv(g) d(x,u) d(x,v)} and n2(e | g)= {xv(g) d(x,v) d(x,u) }.thenumber of elements of n1(e | g) and n2(e | g) are denoted by n1(e | g) and n2(e | g) ,respectively. the szeged index of the graph g is defined as sz(g) ( ) ( ) 1 2 n e g n e g e e    . inthis paper we compute the sz...

Using an excimer laser-pumped CARS spectrometer, single-pulse temperature measurements have been performed with a repetition rate of up to 80 Hz in a 3-dimensional, phase-matched geometry. Single-pulse temperature data measured in a furnace typically fluctuated by _+ 50 K within the temperature range 300-1300 K. The CARS spectra were analyzed by the G-matrix formalism with inclusion of cross co...

We provide here a comparative genome analysis of 31 strains within the genus Paenibacillus including 11 new genomic sequences of N2-fixing strains. The heterogeneity of the 31 genomes (15 N2-fixing and 16 non-N2-fixing Paenibacillus strains) was reflected in the large size of the shell genome, which makes up approximately 65.2% of the genes in pan genome. Large numbers of transposable elements ...

The AΠu−XΣg system of N2 was first observed in auroral emissions by Meinel in 1950. Although the N2 band system has been reinvestigated since this first spectral study, no laboratory spectrum of the (2,1) vibronic band has been obtained. We have recently built a continuous-wave cavity ringdown spectrometer, and as a first test of this spectrometer we observed the (2,1) band of N2 in a positive ...

In this paper a condition is presented on parameters (n1, n2,Λk), for arbitrary partition n = {n1, n2} (n1 ≤ n2) and k = 1, ..., n−1, which guarantees that two different interpretations of characters of fundamental modules L(Λk) for the affine Kac-Moody Lie algebra ŝln generate extended classical Gauss series-product identities.

Let n = 2λm ≥ 526 with m ∈ {2, 3, 5, 7, 11}, and let S be a sequence of elements in Cn⊕Cn with |S| = n2 +2n−2. Let N 0 (S) denote the number of the subsequences with length n2(=|G|) and with sum zero. Among other results, we prove that either N 0 (S) = 1 or N |G| 0 (S) ≥ n2 + 1.

Rhizobium sp. strain ORS571 conducts synergistic, free-living N2 fixation and nicotinate oxidation. Explicitly, ORS571 is able to fix N2 aerobically because 6-OH-nicotinate acts as an intracellular O2 sink. Because 6-OH-nicotinate oxidation is mandatory for aerobic, free-living N2 fixation and because the synergistic processes yield ammonium from substrates (as the nitrogen source for growth), ...