In a previous paper, we introduced a heterotic standard model and discussed its basic properties. This vacuum has the spectrum of the MSSM with one additional pair of Higgs-Higgs conjugate fields and a small number of uncharged moduli. In this paper, the requisite vector bundles are formulated; specifically, stable, holomorphic bundles with structure group SU(N) on smooth Calabi-Yau threefolds ...

The Satisfiability Modulo Theories (SMT) solver Z3 can generate proofs of unsatisfiability. We present independent reconstruction of unsatisfiability proofs for bit-vector theories in the theorem provers HOL4 and Isabelle/HOL. Our work shows that LCF-style proof reconstruction for the theory of fixed-size bit-vectors, although difficult because Z3’s proofs provide limited detail, is often possi...

BACKGROUND Diabetes mellitus is associated with biochemical, physiological and pathologic alterations in the liver. We measured changes in structure of rat liver after streptozotocin injection, using stereology. METHODS Livers of 36 streptozotocin-injected rats were removed after 4, 8 and 12 weeks. Liver volume and weight were measured, and volume-weighted mean volume of hepatocytes and their...

Combining these three definitions, Zamfirescu [12] proved the following important result. Theorem 1.1. Let (X ,d) be a complete metric space and T : X → X a mapping for which there exists the real numbers a,b, and c satisfying a∈ (0,1), b,c ∈ (0,1/2) such that for each pair x, y ∈ X , at least one of the following conditions holds: (z1) d(Tx,Ty)≤ ad(x, y), (z2) d(Tx,Ty)≤ b[d(x,Tx) +d(y,Ty)], (z...

The atrial T wave (l’a) was studied by computer analysis in 171 patients with chronic obstructive pulmonary disease (COPD). They were divided into three groups according to Ta amplitude. Group 1 included 98 cases (57.6 percent) with Ta of .05 my or less, group 2, 38 cases (22.3 percent) with Ta between .06 my and .09 my, and group 3, 35 cases (20.5 percent) with Ta of .10 my or more. The mean T...

— Two types of H° centres and one H~ centre were found by ESR and vacuum UV measurements in X-irradiated LiF : Mg. The so called Z3 and Z2 centres in LiF : Mg are not identical with any Z centre and are rather connected to the OH impurity.

In 2002, several hospitals in the Tenet system were accused of overbilling Medicare for cardiac surgery. This led to increased scrutiny of so-called outlier payments, which are used to compensate hospitals when actual costs far exceed those anticipated under prospective payment. Since then, the overall proportion of coronary artery bypass graft (CABG) procedures associated with outlier payments...

The construction and general implications of a model with complete supersymmetric unification the Standard Model matter content, interactions families' replication into single E8 gauge superfield in ten dimensions is presented. extended Poincaré symmetries are broken through compactification T6/(Z3×Z3) orbifold Wilson lines, which reduces original symmetry content those plus additional heavier ...