In this paper, we give a ‘direct’ construction of the endomorphism ring of supersingular elliptic curves over a prime field Fp from ‘ideal classes’ of Q( √−p). We use the result to prove that the result of Kaneko on ‘minimal’ CM liftings of such supersingular elliptic curves is a best possible result. We also prove that the result of Elkies on ‘minimal’ CM liftings of all supersingular elliptic...

The influence of the sample matrix in the analysis of pesticides in vegetable samples has been studied in order to determine if the matrix content introduces a systematic or proportional (or both) bias in the measurements. Experiments have been carried out during a 4-month period, in which calibration curves, prepared in solvent and in vegetable matrix, were prepared and analysed. A statistical...

This paper deals with the definition of the input fluxes used for the calibration of the IUE Final Archive. The method adopted consists on the determination of the shape of the detector’s sensitivity curves using IUE low resolution observations with model fluxes of the DA white dwarf G191–B2B. A scale factor was then determined so that the IUE observations of some bright OAO–2 standards match t...

The National Institute of Standards and Technology (NIST) has performed calibrations of gas flowmeters using piston and bell provers for three decades. Most of the meters calibrated have been either critical flow nozzles or laminar flowmeters since these meter types are generally chosen as the working standards or transfer standards by other flow calibration laboratories. Often the same meters ...

We introduce a multiple curve framework that combines tractable dynamics and semianalytic pricing formulas with positive interest rates and basis spreads. Negative rates and positive spreads can also be accommodated in this framework. The dynamics of overnight indexed swap and LIBOR rates are specified following the methodology of the affine LIBOR models and are driven by the wide and flexible ...

Typical methods for camera calibration and image rectification from a single view assume the existence of straight parallel lines from which vanishing points can be computed, or orthogonal structure known to exist in the scene. However, there are practical situations where these assumptions do not apply. Moreover, from a single family of parallel lines on the ground plane there is insufficient ...

in this note we review a simple criterion, due to ekedahl, for superspecial curves defined over finite fields.using this we generalize and give some simple proofs for some well-known superspecial curves.

PURPOSE The purpose of this study was to verify the influence of individual calibration on sound tooth surfaces and the number of readings on in vitro performance of a laser fluorescence (LF) device to detect occlusal caries in primary teeth. METHODS After standard calibration (on the porcelain reference object), 72 clinically suspect sites on occlusal surfaces of 54 exfoliated or extracted (...

A family of qualitative methods is described that determine structure of curves in a scene from their image projections in two or more views. For example, plane curves are distinguished from space curves, and space curves from contour generators. The novelty of the approach is: rst, it is unaaected by camera intrinsic parameters, so calibration is not required; second, is it also unaaected by c...

Prognostic models applied in medicine must be validated on independent samples, before their use can be recommended. The assessment of calibration, i.e., the model's ability to provide reliable predictions, is crucial in external validation studies. Besides having several shortcomings, statistical techniques such as the computation of the standardized mortality ratio (SMR) and its confidence in...