196,496 research outputs found

    Quadratic form theory over preordered von Neumann-regular rings

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    AbstractTo each pair, 〈R,T〉, consisting of a unitary commutative von Neumann-regular ring, R, where 2 is a unit and T is a preorder on R, we associate a reduced special group, GT(R), which faithfully reflects quadratic form theory, modulo T, over free R-modules and then show, using the representation of R as the ring of global sections of its affine scheme, together with results from [M. Dickmann, F. Miraglia, On quadratic forms whose total signature is zero mod 2n. Solution to a problem of M. Marshall, Invent. Math. 133 (1998) 243–278; M. Dickmann, F. Miraglia, Lam's Conjecture, Algebra Colloq. 10 (2003) 149–176; M. Dickmann, F. Miraglia, Algebraic K-theory of special groups, J. Pure Appl. Algebra 204 (2006) 195–234], that GT(R) satisfies a powerful K-theoretic property, the [SMC]-property. From this we conclude that quadratic form theory modulo T over free R-modules verifies Marshall's signature conjecture, Lam's conjecture, as well as a reduced version of Milnor's Witt ring conjecture

    A Modified One-Stage Early Correction of Blepharophimosis Syndrome Using Tutopatch Slings

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    PURPOSE:To investigate the efficacy of a one-stage early correction of blepharophimosis-ptosis-epicanthus inversus syndrome (BPES), using bovine pericardium derived membrane (TUTOPATCH(®)) for the frontalis suspension. METHODS:We prospectively studied 12 eyes from 6 patients (median age 14 months) affected by BPES with severe ptosis. All patients were submitted to a one-stage early correction of ptosis (frontalis suspension with TUTOPACH(®)) and telecanthus and epicanthus inversus. Upper margin reflex distance (MRD), nasal inner intercanthal distance (IICD), horizontal fissure length (HFL), and IICD/HFL ratio were evaluated using photographs. RESULTS:The Wilcoxon signed-rank test showed a statistically significant difference between pre- and post-operative MRD, IICD, HFL, and the IICD/HFL ratio. CONCLUSION:An early TUTOPATCH-assisted frontalis suspension, together with the correction of telecanthus and epicanthus inversus, is an effective procedure for BPES cases with severe ptosis

    Why do they come to London? Exploring the motivations of expatriates to work in the British capital

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    The literature has hitherto neglected the influence of specific cities on the decision to work abroad, implicitly treating all locations within countries as similar. Using a boundaryless careers and expatriation perspective, the research investigates a range of specific motives that individuals have when working in London, the British capital. The results of semi-structured, in-depth interviews and a large scale quantitative survey shed light on the relative importance of individual drives, career and development motivations, family and partner factors, organizational context, national and city-specific considerations to come to London. A range of London-specific attributes are identified and their importance assessed. A new framework of individual international mobility drivers is developed. The findings reiterate the importance of individual preparation of international sojourns based on proactive location choice. They also add to academic insights and inform organizational strategies, policies and practices with respect to international mobility

    Stomach content of Sprattus sprattus during HEINCKE cruise HE181

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    Ship speed: 3 kn; heave speed: 0.5 m/sec; fier speed: 0.7 m/sec; mesh size: 335 µ

    sj-docx-1-sgr-10.1177_10464964221121349 – Supplemental material for Teaching Team Science: The Key to Addressing 21st Century Global Challenges

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    Supplemental material, sj-docx-1-sgr-10.1177_10464964221121349 for Teaching Team Science: The Key to Addressing 21st Century Global Challenges by Hannah B. Love, Jennifer E. Cross, Bailey K. Fosdick, Elizabeth Tofany and Ellyn M. Dickmann in Small Group Research</p

    Geometric aspects of local-global principle in the abstract theory of quadratic forms.

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    Les espaces d'ordres abstraits sont introduits par M. Marshall dans les années 70, dans la perspective d'offrir un cadre abstrait à l'étude des formes quadratiques. Vers le début des années 90, les travaux de M. Dickmann, L. de Lima et de F. Miraglia, ont donné naissance à la version duale des groupes spéciaux. Le premier thème que nous traiterons est la caractérisation des points d'un espace d'ordres du corps de fonctions d'une variété réelle, nous reprendrons un résultat de Brumfiel affirmant l'existence d'une correspondance entre ces ordres et des ultrafiltres de semi-algébriques. Nous appliquerons ceci au corps R(x,y). Suivra la caractérisation des ordres de ce corps à travers la notion de demi-branche de Bézout. Le second thème traite des principes locaux-globaux généralisés (ou Conjecture pp). Le premier résultat de la thèse porte sur la séparation des constructibles et sur la principalité des basiques. Nous montrerons que le langage des groupes spéciaux nous offre une vision claire du fait que ces principes découlent trivialement du principe de l'isotropie étendu. Le second résultat traite des contre-exemples à la conjecture dans le cas de la conique rationnelle donnée par l'équation x2+y2=3. Le dernier résultat (le plus important), aborde la conjecture pp dans le cadre du corps R(x,y). Nous nous intéresserons à des familles de polynômes vérifiant certaines conditions géométriques et montrerons que toute formule pp, ayant ses paramètres dans cette famille, vérifie un principe local-global. Nous les baptiserons formules V-universelles. Nous clorons le dernier chapitre par deux méthodes de construction.Spaces of orderings were introduced in the last of 70s by M. Marshall, in order to provide an abstract framework to the study of a generalized theory of quadratic forms. In the 90s, the work of M. Dickmann , joined by his student L. Lima and his collaborator F. Miraglia , gave rise to the dual version of this theory, the special groups. First, we focus on the characterization of points of a space of orderings in special the case of function fields of real varieties, we review a Brumfiel?s result proving the existence of a one-to-one correspondence between points of such a space and some family of ultrafilters of semi-algebraic sets of the variety. We apply this to the case where the field is R(x,y). Another characterization uses the concept of Bezout?s half-branch. The second topic deals with a generalized local-global principle, known as the pp-conjecture. The first new result of this thesis focuses on the separation of constructibles and the principality of basics. We show that the first order language traduces well these properties and offers a clear vision that they derive trivially from extended isotropy theorem. The second result presents a generalized counter-example to the pp-conjecture in the case of the rational conic defined by the equation x2 + y2 = 3. The last result (most important), addresses the pp-conjecture in the context of the space of orderings of the field R(x,y). We will focus on families of polynomials satisfying certain geometric conditions and show that any pp-formula, with its parameters in this family, verifies a local-global principle. We baptize them V-universal formulas. We close the last chapter by two construction methods

    Stomach content of Sprattus sprattus during ALKOR cruise AL217

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    Ship speed: 3 kn; heave speed: 0.5 m/sec; fier speed: 0.7 m/sec; mesh size: 335 µ

    Measuring the return on investment in international assignments: an action research approach

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    This paper progresses the debate on the underresearched topic of return on investment (ROI) in international assignments by complementing and extending recent research streams on the conceptual understanding and challenging nature of measuring ROI. The study reported in this paper applies an action research methodology. Working in close collaboration with nine multinational companies, a set of metrics were developed to explore and gauge the ROI of international assignments. An in-depth exploration of the assignment purpose and individual and organizational otucomes over time highlights the importance of context and the dynamic nature of the task of assessing ROI. These themes have significant implications for international assignment strategy policy and practice. Insights from an action research perspective are discussed
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