Search results for "Quotient"

About Quotient Orders and Ordering Sequences

2017

Summary In preparation for the formalization in Mizar [4] of lotteries as given in [14], this article closes some gaps in the Mizar Mathematical Library (MML) regarding relational structures. The quotient order is introduced by the equivalence relation identifying two elements x, y of a preorder as equivalent if x ⩽ y and y ⩽ x. This concept is known (see e.g. chapter 5 of [19]) and was first introduced into the MML in [13] and that work is incorporated here. Furthermore given a set A, partition D of A and a finite-support function f : A → ℝ, a function Σ f : D → ℝ, Σ f (X)= ∑ x∈X f(x) can be defined as some kind of natural “restriction” from f to D. The first main result of this article ca…

Equivariant algebraic vector bundles over cones with smooth one dimensional quotient

1998

2002

Generalizing cones over projective toric varieties, we present arbitrary toric varieties as quotients of quasiaffine toric varieties. Such quotient presentations correspond to groups of Weil divisors generating the topology. Groups comprising Cartier divisors define free quotients, whereas ℚ–Cartier divisors define geometric quotients. Each quotient presentation yields homogeneous coordinates. Using homogeneous coordinates, we express quasicoherent sheaves in terms of multigraded modules and describe the set of morphisms into a toric variety.

Convergence-theoretic mechanisms behind product theorems

2000

Abstract Commutation of the topologizer with products, quotientness of product maps, preservation of some properties by products, topologicity of continuous convergence, continuity of complete lattices are facets of the same quest. A new method of multifilters is used to establish (in terms of core-contour-compactness) sufficient and necessary conditions for these properties in the framework of general convergences. The relativized Antoine reflector plays here an important role. Several classical results (of Whitehead, Michael, Boehme, Cohen, Day and Kelly, Hofmann and Lawson, Schwarz and Weck, Kent and Richardson, and others) are extended or refined.

Proper triangular Ga-actions on A^4 are translations

2013

We describe the structure of geometric quotients for proper locally triangulable additve group actions on locally trivial A^3-bundles over a noetherian normal base scheme X defined over a field of characteristic 0. In the case where dim X=1, we show in particular that every such action is a translation with geometric quotient isomorphic to the total space of a vector bundle of rank 2 over X. As a consequence, every proper triangulable Ga-action on the affine four space A^4 over a field of characteristic 0 is a translation with geometric quotient isomorphic to A^3.

Resonance frequency analysis after the placement of 133 dental implants

2006

Introducción: La estabilidad primaria del implante dental está relacionada con el hueso que se encuentra en contacto con él y se puede medir mediante el análisis de frecuencia de resonancia. Material y métodos: En 133 implantes (62 en maxilar y 71 en mandíbula) se midió la frecuencia de resonancia y la fuerza de inserción para conocer la estabilidad de los implantes el día de la cirugía, y estudiar su relación con distintas variables. Resultados: El cociente de estabilidad del implante obtenido el día de la cirugía fue de 62’1 y el de la fuerza de inserción fue de 35’7 Nw. La fuerza de inserción fue proporcional al análisis de la frecuencia de resonancia, a mayor fuerza de inserción mayor c…

Indoor air pesticide in dwellings of breastfeeding mothers of the Valencian Region (Spain): Levels, exposure and risk assessment

2021

This study assessed the inhalation risk associated with indoor pesticide concentrations in the dwellings of 41 lactating mothers living in the Valencian Region, Spain, who were participants in the BETTERMILK project. Twenty-eight substances were investigated, including pyrethroid (PYRs), organophosphate (OPPs), and organochlorine (OCPs) pesticides. Bifenthrin, cypermethrin, lambda-cyhalothrin, malathion, permethrin and pyrimethanil were detected with frequencies ranging from 2% (malathion) to 80% (cypermethrin), and with an arithmetic mean concentration ranging from 4.1 ng m(-3) (bifenthrin) to 12.1 ng m-(3) (cypermethrin). The indoor air analysis was combined with several surveys to assess…

New screening approach for risk assessment of pesticides in ambient air

2014

We present a novel screening approach for inhalation risk assessment of currently used pesticides (CUPs) in ambient air, based on the measurements of pesticide levels in the inhalable fraction of the particulate matter (PM10). Total concentrations in ambient air (gas + particle phases) were estimated using a theoretical model of distribution of semi-volatile organic compounds between the gas and the particulate phase based on the octanol-air partition (K-oa) of each pesticide. The proposed approach was used in a pilot study conducted in a rural station in Valencia (Spain) from April through to October 2010. Twenty out of 82 analysed pesticides were detected in average concentrations ranging…

Quotients of the Dwork Pencil

2012

In this paper we investigate the geometry of the Dwork pencil in any dimension. More specifically, we study the automorphism group G of the generic fiber of the pencil over the complex projective line, and the quotients of it by various subgroups of G. In particular, we compute the Hodge numbers of these quotients via orbifold cohomology.

Groups acting freely on Calabi-Yau threefolds embedded in a product of del Pezzo surfaces

2011

In this paper, we investigate quotients of Calabi-Yau manifolds $Y$ embedded in Fano varieties $X$, which are products of two del Pezzo surfaces — with respect to groups $G$ that act freely on $Y$. In particular, we revisit some known examples and we obtain some new Calabi-Yau varieties with small Hodge numbers. The groups $G$ are subgroups of the automorphism groups of $X$, which is described in terms of the automorphism group of the two del Pezzo surfaces.