Given a constant α>0, an n-vertex graph is called α-expander if every set X of at most n/2 vertices in G has external neighborhood size least α|X|. Addressing question posed by Friedman and Krivelevich [Combinatorica, 41(1), (2021), pp. 53–74], we prove the following result: Let k>1 be integer with smallest prime divisor p. Then for α>1p−1 sufficiently large α-expanding contains cycles length c...

P.R.E.S.S. is an R-package developed to allow researchers to get access to and manipulate a large set of statistical data on protein residue-level structural properties such as residue-level virtual bond lengths, virtual bond angles, and virtual torsion angles. A large set of high-resolution protein structures is downloaded and surveyed. Their residue-level structural properties are calculated ...

abstract in order to study the sensitivity of seven crops to total herbicide soil residue, an experiment was carried out under controlled conditions in 2009 at the college of agriculture, ferdowsi university of mashhad-iran. in this study 7 crops (pea, bean, lentil, corn, rape, beet and tomato), across 7 simulated soil residual concentration of total herbicide (0, 0.0002, 0.0005, 0.001, 0.002, ...

Solution. We can consider the integration from −∞ to ∞ instead. For R > 1, consider the contour that consists of the segment from −R to R and the arc {Reiθ | θ ∈ [0, π]}. Since z2+1 z4+1 decays as |z|−2 on the complex plane as |z| → ∞, this contour integral converges to twice of the original integral when R→∞. The contour encloses two simple poles eπi/4 and e3πi/4 of the function. At eπi/4 the ...

field experiment was conducted to assess the efficacy of wheat residues and different densities of sunflower in weed control during 2007 growing season. the experimental design was a randomized complete block with three replications. the experiment was set up in factorial arrangement, amount of 0, 1250, 2500, 3750, 5000 kg ha-1 of wheat residue and burning of residue (5000 kg ha-1) were the lev...

Vinegar residue is a key secondary waste in the brewing industry that often disposed irresponsibly, due to its large quantity and lack of reasonably effective use, causing environmental pollution issues. NaOH was used pretreat Chinese vinegar residue, reaction products were consumed by enzyme complex Saccharomyces cerevisiae 1300 during stage simultaneous saccharification fermentation (SSF). Th...

a four - year field experiment (1999-2002) was conducted on a silty clay loam soil at laklak research field of hamedan to determine the effects of crop residue management and plowing depth on soil fertility and wheat yield in a maize-wheat rotation. in this investigation, four corn residue managements were used consisting of 1) stalk shredding by maize stalk shredder 2) stalk shredding by disk ...

Let (R; m) be a local (Noetherian) ring. The main result of this paper asserts the existence of a local extension ring S of R such that (i) S dominates R, (ii) the residue eld of S is a nite purely transcendental extension of R=m, (iii) dim(S) 1. In addition, it is shown that S can be obtained so that either mS is the maximal ideal of S or S is a localization of a nitely generated R-algebra.

Recombinant rat insulysin was shown to cleave the internally quenched fluorogenic peptide 2-aminobenzyl-GGFLRKVGQ-ethylenediamine-2,4-dinitrophenol at the R-K bond, exhibiting a K(m) of 13 microm and a V(max) of 2.6 micromol min(-1) mg(-1). Derivatives of this peptide in which the P(2) leucine or the P(2)' valine were replaced with other residues were used to probe the subsite specificity of th...