Given a multigraph, suppose that each vertex is given a local assignment of k colours to its incident edges. We are interested in whether there is a choice of one local colour per vertex such that no edge has both of its local colours chosen. The least k for which this is always possible given any set of local assignments we call the conflict choosability of the graph. This parameter is closely...

G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.

Let G be a reductive algebraic group over C and let X be a smooth quasiprojective complex variety. Let us call a representation ρ : π1(X) → G to be G-rigid, if the set theoretic orbit of the representation ρ in the representation space Hom(π1(X), G) under the action of G is an open subset. Note that by fixing an embedding of G into a general linear group GLn(C), any representation ρ : π1(X) → G...

Near infrared reflectance spectroscopy (NIRS) of 924 fresh temperate forages were used to develop calibration models for chemical composition - crude ash (CA) and crude protein (CP) - organic matter digestibility (OMD) and voluntary intake (VI). We used 110 samples to assess the models. Four calibration strategies for determining forage quality were compared: (i) species-specific calibration, (...

Forty patients with cataracts, as well as 40 patients with proven ocular toxoplasmosis were enrolled in this prospective clinical study. Serum IgG and aqueous IgG in both groups were measured by enzyme-linked immunosorbent assay (ELISA) and the corresponding ratios were calculated. Serum IgG/aqueous humor IgG ratio was less than 100 in the patient group and more than 100 in the control gro...

Avila and Molina [1] introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α(g),π(g),σ(g) and β(g). This work is a further investigation of generalized weak structures due to Avila and Molina. Further we introduce the structures ro(g) and rc(g) and study the properties of the structures r...

1. Let k be an algebraic closure of a finite field Fq. Let G = GLn(k). The group G(Fq) = GLn(Fq) can be regarded as the fixed point set of the Frobenius map F : G −→ G, (gij) 7→ (g q ij). Let Q̄l be an algebraic closure of the field of l-adic numbers, where l is a prime number invertible in k. The characters of irreducible representations of G(Fq) over an algebraically closed field of characteri...

Summary A case of Cushing' s syndrome associated with application of topical clobetasol propionate (0.05%) is reported. Local application of clobetasol propionate is associated with adrenal suppression in normal subjects and on this basis, it has been recommended that less than 50 g per week be used. There have been sporadic case reports of cushing's syndrome associated with topical steroid bu...

The local spectrum of a graph G = (V,E), constituted by the standard eigenvalues of G and their local multiplicities, plays a similar role as the global spectrum when the graph is “seen” from a given vertex. Thus, for each vertex i ∈ V , the i-local multiplicities of all the eigenvalues add up to 1; whereas the multiplicity of each eigenvalue λl ∈ ev G is the sum, extended to all vertices, of i...

The local spectrum of a graph G = (V,E), constituted by the standard eigenvalues of G and their local multiplicities, plays a similar role as the global spectrum when the graph is “seen” from a given vertex. Thus, for each vertex i ∈ V , the i-local multiplicities of all the eigenvalues add up to 1; whereas the multiplicity of each eigenvalue λ of G is the sum, extended to all vertices, of its ...