We propose a geometric method to parameterize inequivalent vacua. Introducing Cli ord algebras with arbitrary bilinear forms we distinguish isomorphic algebras {as Cli ord algebras{ by di erent ltrations resp. induced gradings. The idea of a vacuum is introduced as the unique algebraic projection on the base eld embedded in the Cli ord algebra. The parameterization of inequivalent vacua takes p...

The automorphism group of the Barnes-Wall lattice L m in dimension 2 m (m 6 = 3) is a subgroup of index 2 in a certain \Cliiord group" of structure 2 1+2m + :O + (2m; 2). This group and its complex analogue C I m of structure (2 1+2m + YZ 8):Sp(2m; 2) have arisen in recent years in connection with the construction of orthogonal spreads, Kerdock sets, packings in Grassmannian spaces, quantum cod...

The pharmacopoeias generally apply the determination of the specific optical rotation for the characterisation of the optical purity of drugs administered as the pure enantiomer. The measurements are prescribed at D-line of sodium (589.3 nm) or rarely at some wavelenghts in the visible region of the mercury lamp (365,405,436, 546, 578 nm) and the value of the specific optical rotation should fa...

In order for the Bureau of Land Management (BLM) to comply with the Government Performance and Results Act (GPRA), and better meet the needs of the public; a visitor satisfaction survey was conducted at 23 BLM recreation sites in 11 states during fiscal year 2009 (FY09). The survey was developed to measure each site's performance related to BLM GPRA Goal 3.1 Provide for a quality recreation exp...

Let F be a set of ordered patterns, i.e., graphs whose vertices are linearly ordered. An F-free ordering of the vertices of a graph H is a linear ordering of V (H) such that none of the patterns in F occurs as an induced ordered subgraph. We denote by Ord(F) the decision problem asking whether an input graph admits an F-free ordering; we also use Ord(F) to denote the class of graphs that do adm...

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The peripheral conversion of the prohormone 3,5,3',5'-tetraiodothyronine (T4) to the biologically active 3,5,3'-triiodothyronine (T3), via enzymatic deiodination by deiodinases, is an important pathway in thyroid hormone metabolism. The aim of this study was to test if thyroid hormones and cortisol, as well as the outer ring deiodination (ORD) metabolic pathway, are involved in the osmoregulato...

Precipitation is one of the primary forcing functions of hydrologic and watershed fate and transport models; however, in light of advances in precipitation estimates across watersheds, data remain highly uncertain. A wide variety of simulated and observed precipitation data are available for use in regional air quality models and watershed fate and transport models. Although these single media ...

BACKGROUND Primary care in the United States and most countries in Asia are provided by a variety of doctors. However, effectiveness of such diversified primary care in gate-keeping secondary medical services is unknown. This study aimed to evaluate health services utilization rates of hospital emergency and admission services among people who used different primary care doctors in Hong Kong. ...

Fluorescence spectroscopy (ES) and optical rotatory dispersion (ORD) have been added to the capabilities of the microscope. With them, as with conventional spectroscopy, a single component can be detected, even when in a mixture. This ability is enhanced by use of certain fluorescent dyes or “molecular probes” such as acridine orange (AO). Molecular complexes between dye and substrate may have ...