We develop an approach to multivariable cubature based on positivity, extension, and completion properties of moment matrices. We obtain a matrix-based lower bound on the size of a cubature rule of degree 2n+1; for a planar measure μ, the bound is based on estimating ρ(C) := inf{rank (T − C) : T Toeplitz and T ≥ C}, where C := C][μ] is a positive matrix naturally associated with the moments of ...

OBJECTIVES Calcineurin (CN) is a main phosphatase and a critical regulator of cellular pathways for learning, memory, and plasticity. The FK-506 (tacrolimus), a phosphatase inhibitor, is a fungal-derived agent and a common immune suppressant extensively used for tissue transplantation. To further clarify the role of CN in different stages of learning and memory the main aim of this study was to...

Bovine αS1-casein (αS1-CN) is the main allergen in cow's milk, and immunoglobulin E (IgE) epitopes are material basis to trigger allergic reactions. Thus, IgE could be as key targets for precise αS1-CN detection allergenicity assessment. Here, we designed a tandem containing nine linear of (tαS1-CN), expressed recombinant tαS1-CN Escherichia coli, prepared rabbit polyclonal antibody against (pA...

A biomolecule-assisted pyrolysis method has been developed to synthesize sulfur-doped graphitic carbon nitride (CNS) nanosheets. During the synthesis, sulfur could be introduced as a dopant into the lattice of carbon nitride (CN). Sulfur doping changed the texture as well as relative band positions of CN. By growing CN on preformed sulfur-doped CN nanosheets, composite CN/CNS heterojunction nan...

myeloproliferative neoplasms. Nat Genet. 2009;41(4):446-9. 6. Olcaydu D, Harutyunyan A, Jager R, Berg T, Gisslinger B, Pabinger I, et al. A common JAK2 haplotype confers susceptibility to myeloproliferative neoplasms. Nat Genet. 2009;41(4):4504. 7. Kilpivaara O, Mukherjee S, Schram AM, Wadleigh M, Mullally A, Ebert BL, et al. A germline JAK2 SNP is associated with predisposition to the developm...

A special relational structure, called genealogical tree, is introduced; its social interpretation and geometrical realizations are discussed. The numbers Cn,k of all abstract genealogical trees with exactly n+1 nodes and k leaves is found by means of enumeration of code words. For each n, the Cn,k form a partition of the n-th Catalan numer Cn, that means Cn,1 + Cn,2 + · · ·+ Cn,n = Cn.

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The preparation and X-ray crystal structures of (CyNC)Au(I)CN, (n-BuNC)Au(I)CN, and (i-PrNC)Au(I)CN.0.5CH(2)Cl(2) are reported and compared with those of (MeNC)Au(I)CN and (t-BuNC)Au(I)CN, which were previously described. These linear molecules are all organized through aurophilic interactions into three structural classes: simple chains ((CyNC)Au(I)CN and (t-BuNC)Au(I)CN), side-by-side chains ...