Abstract Let M be a hyperkähler manifold, and F a torsion-free and reflexive coherent sheaf on M . Assume that F (outside of singularities) admits a connection ∇ with a curvature Θ which is invariant under the standard SU(2)-action on 2-forms. If Θ is square-integrable, such sheaf is called hyperholomorphic. Hyperholomorphic sheaves were studied at great length in [V2]. Such sheaves are stable ...

X iv :1 00 3. 45 53 v2 [ m at h. N T ] 6 J un 2 01 0 ON SOME LOWER BOUNDS OF SOME SYMMETRY INTEGRALS by G.Coppola Abstract. We study the “symmetry integral”, say If , of some arithmetic functions f : N → R; we obtain from lower bounds of If (for a large class of arithmetic functions f ) lower bounds for the “Selberg integral” of f , say Jf (both these integrals give informations about f in almo...

This paper describes the physical meaning of MS norm (=MS/V1/3), unitless grain size normalized integral mean curvature faces, as a descriptor effect face number on shape, affecting boundary velocity in driven growth. has consistently been found to have linear relationship with class, f, among diverse experiments real materials and simulations. Analysis terms effects faces its components, avera...

1: We study polytopes associated to factorisations of prime powers. These polytopes have explicit descriptions either in terms of their vertices or as intersections of closed halfspaces associated to their facets. We give formulae for their f−vectors. 1 Main results Polytopes have two dual descriptions: They can be given either as convex hulls of finite sets or as compact sets of the form ∩f∈Ff...

The deep-sea tube worm Riftia pachyptila Jones possesses a complex of three extracellular Hbs: two in the vascular compartment, V1 (approximately 3500 kDa) and V2 (approximately 400 kDa), and one in the coelomic cavity, C1 (approximately 400 kDa). These native Hbs, their dissociation products and derivatives were subjected to electrospray ionization mass spectrometry (ESI-MS). The data were ana...

The 351.1-nm (3.532-eV) photoelectron spectrum of the nitrite anion (NO,) is reported. The electron affinity of NO2 is found to be 2.273 f 0.005 eV, which leads to the heat of formation AfHoo(NOJ = -183.4 f 0.9 k.J/fiol(-43.8 * 0.2 kcal/mol). Vibrational progressions of the symmetric stretch and bending modes of nitrogen dioxide, N02(X2AI), are observed up to 8000 cm-’ above the ground state. O...

As we will see, modular arithmetic aids in testing the irreducibility of polynomials and even in completely factoring polynomials in Z[x]. If we expect a polynomial f(x) is irreducible, for example, it is not unreasonable to try to find a prime p such that f(x) is irreducible modulo p. If we can find such a prime p and p does not divide the leading coefficient of f(x), then f(x) is irreducible ...

In visual area V2 of the macaque monkey callosal cells accumulate in finger-like bands that extend 7-8 mm from the V1/V2 border, or approximately half the width of area V2. The present study investigated whether or not callosal connections in area V2 link loci that are located at the same distance from the V1/V2 border in both hemispheres. We analyzed the patterns of retrograde labeling in V2 r...

Abstract Background To investigate long‐term progression of amyloid (A) and tau (T) image‐based biomarker profiles in a cohort with wide range cognitive status. Method In 273 participants [96 cognitively unimpaired (CU), 106 mild impairment (MCI), 71 AD dementia (DEM)] who completed 18 F‐florbetaben F‐flortaucipir PET studies for visit 1 (V1), 167 (62 CU, 68 MCI, 37 DEM) 2 (V2) at two years, su...