Lemma A.1. If U follows a uniform distribution on Sd−1, for any d×d diagonal matrix S and any vector β ∈ Rd, we have • E(U>SU) = tr(S) d , E[(U >SU)2] = 2 tr(S 2)+[tr(S)]2 d2+2d ; • E(U>β) = 0, E[(U>β)2] = ‖β‖ 2 d ; • E(U>SUU>β) = 0. Now, we show the claim of Proposition 2.1. Let Y = Σ−1/2(Z −μ), then Y = ξU where U follows a uniform distribution on Sd−1 and is independent of ξ. The quadratic f...

We consider a U(1) × SU(2) gauge theory on the four-dimensional manifold S × S. If we make the assumption that only gauge transformations connected to the identity are allowed, the winding numbers of U(1) around S and of SU(2) around S become topological conserved quantities. We derive the effective theory for non-trivial winding numbers if all distances are small compared to the radii of the s...

The ideas of Vygotsky [Vygotsky, L. S. (1987). Thinking and speech. In The collected works of L. S. Vygotsky, (Vol. 1). New York: Plenum. (Original work published 1934.)] have been increasingly influential in accounting for social–environmental influences on the development of social understanding (SU). In the first part of this article, I examine how Vygotskian ideas have to date been recruite...

The suppressor of Hairy-wing [su(Hw)] protein mediates the mutagenic effect of the gypsy retrotransposon by repressing the function of transcriptional enhancers located distally from the promoter with respect to the position of the su(Hw)-binding region. Mutations in a second gene, modzjier of mdg4, also s e c t the gypsyinduced phenotype. Two major effects of the mod(mdg4)'"' mutation can be d...

We have applied a new noncompact, gauge-invariant, Monte Carlo method to simulate the U(1), SU(2), and SU(3) gauge theories on 84 and 124 lattices. For U(1) the Creutz ratios of the Wilson loops agree with the exact results for β ≥ 0.5 after a renormalization of the charge. The SU(2) and SU(3) Creutz ratios robustly display quark confinement at β = 0.5 and β = 2, respectively. At much weaker co...

In this work, we continue with the classification for positively curved homogeneous Finsler spaces (G/H,F ). With the assumption that the homogeneous space G/H is odd dimensional and the positively curved metric F is reversible, we only need to consider the most difficult case left, i.e. when the isotropy group H is regular in G. Applying the fixed point set technique and the homogeneous flag c...

The ground states of charmed baryons form an antitriplet and sextet representations of the SU(3) group. The s-wave interaction of the latter with the octet of Goldstone bosons is predicted by the chiral properties of QCD. The Clebsch-Gordon coefficients that describe the relative interaction strength of the various channels reflect the SU(3) multiplet structure of the hadron the Goldstone boson...

We investigate the phase diagram of S=1 quantum spin systems with SU(2)-invariant interactions, at low temperatures and in three spatial dimensions. Symmetry breaking and the nature of extremal states can be studied using random loop representations. The latter confirm the occurrence of ferro- and antiferromagnetic transitions and the breaking of SU(3) invariance. And they reveal the peculiar n...

The spin chains originating from large-N conformal gauge theories are of a special kind: The Hamiltonian is not invariant under the symmetry algebra, it is rather a part of it. This leads to interesting properties within the asymptotic Bethe ansatz. Here we study an S-matrix with u(1|1) symmetry which arises in a long-range spin chain with fundamental spins of su(2|1).

Streptococcus suis is a commensal organism that can occasionally cause outbreaks of meningitis, endocarditis, and/ or arthritis. Isolation of S. suis from respiratory sites is common and should be disregarded, as these strains tend to be nonvirulent. Isolation from the central nervous system is best achieved by obtaining cerebral spinal fluid (CSF)and using this sample for blood agar plating an...