Generalized Qualification and Qualification Levels for Spectral Regularization Methods

The concept of qualification for spectral regularization methods for inverse ill-posed problems is strongly associated to the optimal order of convergence of the regularization error. In this article, the definition of qualification is extended and three different levels are introduced: weak, strong and optimal. It is shown that the weak qualification extends the definition introduced by Mathe and Pereverzev in 2003, mainly in the sense that the functions associated to orders of convergence and source sets need not be the same. It is shown that certain methods possessing infinite classical qualification, e.g. truncated singular value decomposition (TSVD), Landweber's method and Showalter's method, also have generalized qualification leading to an optimal order of convergence of the regularization error. Sufficient conditions for a SRM to have weak qualification are provided and necessary and sufficient conditions for a given order of convergence to be strong or optimal qualification are found. Examples of all three qualification levels are provided and the relationships between them as well as with the classical concept of qualification and the qualification introduced by Mathe and Perevezev are shown. In particular, spectral regularization methods having extended qualification in each one of the three levels and having zero or infinite classical qualification are presented. Finally several implications of this theory in the context of orders of convergence, converse results and maximal source sets for inverse ill-posed problems, are shown.Comment: 20 pages, 1 figur

Process Products Need Qualification

The quantum process framework is devised as a generalization of quantum theory to incorporate indefinite causal structure. In this short paper we point out a restriction in forming products of processes: there exist both classical and quantum processes whose tensor products are not processes. Our main result is a necessary and sufficient condition for when tensor products of multipartite processes are (in)valid. We briefly discuss the implications of this restriction on process communication theory.Comment: Comments are welcome

Seismic qualification of directional valve

Seismic qualification tests on pneumatically operated directional valve were carried out in the shake table facility in Structural Integrity Division. Determination of the fundamental frequency for directional valve was carried out through exploratory vibration test as per ANSI B 16.41 Annexure E (Para E-3) to ascertain extent of flexibility as defined in the standard. Seismic (static) load test on same directional valve was also carried out to ascertain its capabilities to withstand the expected dynamic, seismic stresses and to ensure that the valves will not be subjected to performance degradation or malfunction under seismic conditions. This report describes the final seismic qualification documentation for directional valve manufactured by M/s Vijay Fire Protection Systems Ltd, Mumbai

A method of hardware qualification for flight by analyses, similarity and integrated testing

The results are described of a study on four pieces of flight hardware from the Saturn 1U and S-4B stages to determine whether the objectives of the formal qualification tests on that hardware could have been obtained within that program by methods other than performing the qualification tests. These methods include qualification by analyses, similarity and integrated testing, i.e., distribution of the objectives among the other tests in the program. It was found that it is feasible to delete the requirements for formal qualification testing provided that it is accomplished early in the program to allow adequate planning for accomplishing the qualification objectives by other means. Additionally, a scorekeeping system was defined that is simple, straightforward, easy to implement. This scorekeeping system provides complete visibility of equivalent qualification status at any point during the program. A set of groundrules for implementing this study was established as a result of findings on the specific items of hardware studied

What a difference a term makes:the effect of educational attainment on marital outcomes in the UK

Abstract In the past, students in England and Wales born within the first 5 monthsof the academic year could leave school one term earlier than those born later inthe year. Focusing on women, those who were required to stay on an extra termmore frequently hold some academic qualification. Using having been required tostay on as an exogenous factor affecting academic attainment, we find that holding alow-level academic qualification has no effect on the probability of being currentlymarried for women aged 25 or above, but increases the probability of the husbandholding some academic qualification and being economically active.33 Halama

Rates of qualification from postgraduate research degrees : projected study outcomes of full-time students starting postgraduate research degrees in 2008-09 and 2009-10

"This report introduces a new approach to measuring rates of qualification from research degree study. It provides qualification rates of students on postgraduate research degree programmes at higher education institutions in England" - front cover

Qualification success rates : school sixth forms

"This is a briefing document providing an overview of the development of a new measure of qualification success rates for school sixth forms" -- [page 1]

Residential child care qualifications audit 2007

In recent years there has been a drive to develop a fully qualified residential child care sector in Scotland. In 2003 the Scottish Social Services Council (SSSC) announced the baseline qualifications for residential child care staff and set down a target for attaining it. This qualifications framework was subsequently reviewed and expanded in 2004. The Scottish Institute for Residential Child Care (SIRCC), commissioned by the Scottish Executive, has previously undertaken two inquiries into the qualification levels of the residential child care workforce in Scotland. The first Qualifications Audit (Frondigoun, Maclean, Hosie & Kendrick, 2002) was undertaken before the SSSC’s initial qualification framework was known and the second (Hunter, Hosie, Davidson & Kendrick, 2004) was based on it. The previous qualifications audit (Hunter et al., 2004) reported that 18% of residential child care staff were fully qualified in accordance with the SSSC’s qualification criteria (SSSC, 2004). The report forecast that the number of fully qualified staff would rise to 29.1% if all qualifications being undertaken were achieved. The purpose of this current audit is to determine whether levels of qualified staff have risen and to identify qualification trends throughout the residential child care sector in Scotland

Operating rules for using the term 'NVQ' in a QCF qualification title

The qualification must: 1. be based entirely and only on national occupational standards (NOS) 2. attest to competence in an occupational role 3. apply any requirements specified by a relevant SSC or SSB about the way in which units are assessed and apply any rules of combination they specify 4. be made up entirely of shared units 5. specify 'Confirm occupational competence and/or licence to practise' as its main qualification purpose