Let \((X, T^{1,0}X)\) be a compact connected orientable CR manifold of dimension \(2n+1\) with non-degenerate Levi curvature. Assume that X admits Lie group G action. Under certain natural assumptions about the action, we show G-invariant Szegő kernel for (0, q) forms is complex Fourier integral operator, smoothing away \(\mu ^{-1}(0)\) and there precise description singularity near ^{-1}(0)\),...

Sorbitol has the effect of promoting nutrient absorption, so it potential to produce excellent fertilizers. In this study, sorbitol calcium chelate was synthesized using as chelating agent. The effects on peanut were investigated, with goal yield and improving utilization fertilizer. Field experiments carried out in Jimo, Shandong Province, China. Four concentrations (0.4, 0.8, 1.6 2.4 g L-1) t...

Cereal Chem. 86(2):239–246 Test weight and groat proportion are two very important quality characteristics of oat grain. In this study, we pose the hypothesis that these two characteristics are related through characteristics of grain density. Test weight is defined as the product of kernel density and packing proportion. Groat proportion, in theory, is the ratio of the groat mass to the kernel...

AIM The aim of this study was the assessment of various levels of date palm kernel (DPK) on the growth performance of broilers. MATERIALS AND METHODS A 250-day-old broiler chicks were randomly selected and categorized into five groups (50 chicks/group) contained A (control), B, C, D and E fed with 0%, 1%, 2%, 3% and 4% levels of DPK in balanced ration, respectively, for 6 weeks. Feed and wate...

We study lowest-weight irreducible representations of rational Cherednik algebras attached to the complex reflection groups G(m, r, n) in characteristic p. Our approach is mostly from the perspective of commutative algebra. By studying the kernel of the contravariant bilinear form on Verma modules, we obtain formulas for Hilbert series of irreducible representations in a number of cases, and pr...

The total dietary fiber, sugar, protein, lipid profile, sodium, and energy contents of 11 raw cashew kernel (Anacardium occidentale L.) samples from India, Brazil, Ivory Coast, Kenya, Mozambique, and Vietnam were determined. Total fat was the major component accounting for 48.3% of the total weight, of which 79.7% were unsaturated FA (fatty acids), 20.1% saturated FA, and 0.2% trans FA. Protein...

In genomic selection (GS), genotype × environment interaction (G × E) can be modeled by a marker × environment interaction (M × E). The G × E may be modeled through a linear kernel or a nonlinear (Gaussian) kernel. In this study, we propose using two nonlinear Gaussian kernels: the reproducing kernel Hilbert space with kernel averaging (RKHS KA) and the Gaussian kernel with the bandwidth estima...

Known facts: the decision problem of the existence of a kernel in a digraph G = (V; E) is NP-complete; if all of the cycles of G have even length, then G has a kernel; and the question of the number of kernels is #P-complete even for this restricted class of digraphs. We construct game theory tools, of independent interest, concerning strategies in the presence of draw positions, to show, in th...