scholarly journals Graphic representation of a triaxial ellipsoid by means of a sphere in general collinear spaces

2011 ◽  
Vol 9 (2) ◽  
pp. 269-275
Author(s):  
Sonja Krasic ◽  
Biserka Markovic
Keyword(s):  
General Position ◽  
Graphic Representation ◽  
Triaxial Ellipsoid ◽  
Common Elements ◽  
Characteristic Parameters ◽  
Absolute Conic ◽  
The Common ◽  
The Absolute ◽  
Straight Lines ◽  
Associated Pair

For graphic representation of the projective creations, such as the quadrics (II degree surfaces) in projective, general collinear spaces, it is necessary to firstly determine the characteristic parameters, such as: vanishing planes, axes and centers of space. An absolute conic of a space is an imaginary conic, residing in the infinitely distant plane of that space. The common elements of the absolute conic and infinitely distant conic of a quadric in the infinitely distant plane of that space are the autopolar triangle and two double straight lines which are always real and it is necessary to use the common elements of their associated pair of conics in the vanishing plane of the associated space. The quadric axes are passing through the apices of the autopolar triangle, and they are important for graphic representation of the quadrics. In order to map a sphere in the first space into the triaxial ellipsoid in the second space, it is necessary to select a sphere so that its center is not on the axis of that space and that it intersects the vanishing plane of the second space along the imaginary circumference, which is in general position with the figure of the absolute conic of the second space (the associated pair of conics in the vanishing plane).

scholarly journals Analysis of mapping of general II degree surfaces in collinear spaces

2010 ◽  
Vol 8 (3) ◽  
pp. 317-327
Author(s):  
Sonja Krasic ◽  
Biserka Markovic
Keyword(s):  
Common Elements ◽  
Characteristic Parameters ◽  
General Surface ◽  
Absolute Conic ◽  
The Common ◽  
Determination Of Parameters ◽  
Associated Pair

Mapping of projective creations which includes the II degree surfaces in the projective, general collinear spaces is complex. In order to simplify it, firstly the characteristic parameters must be constructively determined: vanishing planes, axes and centers of spaces. All II degree surfaces are mapped using the common elements of absolute conic and infinitely distant conic of quadrics in the infinitely distant plane of space, which provide the determination of parameters of any surface of II degree. The common elements of their associated pair of conics in vanishing plane of space are used. The paper analyzed the conditions of choice of general surface of II degree in the first space to be mapped into the respective general surface of II degree in the second collinear space. The mapping is biunivocal. A sphere is chosen in the first space, and it was analyzed how it should be placed in respect to the characteristic parameters of the space, so that it would be mapped in rotating or triaxial general surfaces of II degree in the second space.

Negotiations over Accounting Issues: The Congruency of Audit Partner and Chief Financial Officer Recalls

2005 ◽  
Vol 24 (s-1) ◽  
pp. 171-193 ◽  
Author(s):  
Michael Gibbins ◽  
Susan A. McCracken ◽  
Steven E. Salterio
Keyword(s):  
Negotiation Process ◽  
Chief Financial Officers ◽  
Chief Financial Officer ◽  
Relative Importance ◽  
Common Elements ◽  
Contextual Features ◽  
Large Numbers ◽  
The Common ◽  
High Level ◽  
Two Sides

Much of what takes place in auditor-client management negotiations occurs in unobservable settings and normally does not result in publicly available archival records. Recent research has increasingly attempted to probe issues relating to accounting negotiations in part due to recent events in the financial world. In this paper, we compare recalls from the two sides of such negotiations, audit partners, and chief financial officers (CFOs), collected in two field questionnaires. We examine the congruency of the auditors' and the CFOs' negotiation recalls for all negotiation elements and features that were common across the two questionnaires (detailed analyses of the questionnaires are reported elsewhere). The results show largely congruent recall: only limited divergences in recall of common elements and features. Specifically, we show a high level of congruency across CFOs and audit partners in the type of issues negotiated, parties involved in resolving the issue, and the elements making up the negotiation process, including agreement on the relative importance of various common accounting contextual features. The analysis of the common accounting contextual features suggests that certain contextual features are consistently important across large numbers of negotiations, whether viewed from the audit partner's or the CFO's perspective, and hence may warrant future study. Finally, the comparative analysis allows us to identify certain common elements and contextual features that may influence both audit partners and CFOs to consider the accounting negotiation setting as mainly distributive (win-lose).

scholarly journals Identifying and measuring the common elements of naturalistic developmental behavioral interventions for autism spectrum disorder: Development of the NDBI-Fi

Autism ◽  
2020 ◽  
Vol 24 (8) ◽  
pp. 2285-2297
Author(s):  
Kyle M Frost ◽  
Jessica Brian ◽  
Grace W Gengoux ◽  
Antonio Hardan ◽  
Sarah R Rieth ◽  
...  
Keyword(s):  
Autism Spectrum Disorder ◽  
Behavioral Intervention ◽  
Behavioral Interventions ◽  
Autism Spectrum ◽  
Spectrum Disorder ◽  
Common Elements ◽  
Intervention Science ◽  
Intervention Models ◽  
The Common ◽  
Naturalistic Developmental Behavioral Intervention

Naturalistic developmental behavioral interventions for young children with autism spectrum disorder share key elements. However, the extent of similarity and overlap in techniques among naturalistic developmental behavioral intervention models has not been quantified, and there is no standardized measure for assessing the implementation of their common elements. This article presents a multi-stage process which began with the development of a taxonomy of elements of naturalistic developmental behavioral interventions. Next, intervention experts identified the common elements of naturalistic developmental behavioral interventions using quantitative methods. An observational rating scheme of those common elements, the eight-item NDBI-Fi, was developed. Finally, preliminary analyses of the reliability and the validity of the NDBI-Fi were conducted using archival data from randomized controlled trials of caregiver-implemented naturalistic developmental behavioral interventions, including 87 post-intervention caregiver–child interaction videos from five sites, as well as 29 pre–post video pairs from two sites. Evaluation of the eight-item NDBI-Fi measure revealed promising psychometric properties, including evidence supporting adequate reliability, sensitivity to change, as well as concurrent, convergent, and discriminant validity. Results lend support to the utility of the NDBI-Fi as a measure of caregiver implementation of common elements across naturalistic developmental behavioral intervention models. With additional validation, this unique measure has the potential to advance intervention science in autism spectrum disorder by providing a tool which cuts across a class of evidence-based interventions. Lay abstract Naturalistic developmental behavioral interventions for young children with autism spectrum disorder share key elements. However, the extent of similarity between programs within this class of evidence-based interventions is unknown. There is also currently no tool that can be used to measure the implementation of their common elements. This article presents a multi-stage process which began with defining all intervention elements of naturalistic developmental behavioral interventions. Next, intervention experts identified the common elements of naturalistic developmental behavioral interventions using a survey. An observational rating scheme of those common elements, the eight-item NDBI-Fi, was developed. We evaluated the quality of the NDBI-Fi using videos from completed trials of caregiver-implemented naturalistic developmental behavioral interventions. Results showed that the NDBI-Fi measure has promise; it was sensitive to change, related to other similar measures, and demonstrated adequate agreement between raters. This unique measure has the potential to advance intervention science in autism spectrum disorder by providing a tool to measure the implementation of common elements across naturalistic developmental behavioral intervention models. Given that naturalistic developmental behavioral interventions have numerous shared strategies, this may ease clinicians’ uncertainty about choosing the “right” intervention package. It also suggests that there may not be a need for extensive training in more than one naturalistic developmental behavioral intervention. Future research should determine whether these common elements are part of other treatment approaches to better understand the quality of services children and families receive as part of usual care.

The Georgics

1967 ◽  
Vol 1 ◽  
pp. 14-22
Keyword(s):  
Eighteenth Century ◽  
The Common ◽  
The Absolute ◽  
Absolute Control

‘The best poem of the best poet’, said Dryden. And Spence (a generation or so later): ‘The most beautiful and most correct poem that ever was wrote in the Roman language.’ It is not hard to see why the Georgics had such a powerful appeal to the English Augustans, nor why the English Georgic became a poetic genre in its own right in the eighteenth century. The absolute control of the medium, the perfection of finish such as we do not find uniformly in the unrevised Aeneid, put it alongside Horace’s Odes as an example of artistic excellence of the highest degree. The elaborate diction, with its elevation of the ordinary and the common into ornate and cultivated paraphrase, naturally pleased those whose ears were attuned to listen for elegance, dignity, and propriety.

Classifying precontractual liability: a comparative analysis

Legal Studies ◽  
2001 ◽  
Vol 21 (2) ◽  
pp. 153-191 ◽  
Author(s):  
Joachim Dietrich
Keyword(s):  
Common Law ◽  
Civil Law ◽  
Tort Law ◽  
Contract Law ◽  
Common Elements ◽  
Ongoing Debate ◽  
Unjust Enrichment ◽  
The Common ◽  
Initial Focus

The common law has solved questions of liability arising in the context of precontractual negotiations by resort to a range of different doctrines and approaches, adopting in effect ‘piecemeal’ solutions to questions of precontractual liability. Consequently, debate has arisen as to how best to classify or categorise claims for precontractual work and as to which doctrines are best suited to solving problems arising from anticipated contracts. The purpose of this article is to consider this question of how best to classify (cases of) precontractual liability. The initial focus will be on the ongoing debate as to whether principles of contract law or principles of unjust enrichment can better solve problems of precontractual liability. I will be suggesting that unjust enrichment theory offers little by way of explanation of cases of precontractual liability and, indeed, draws on principles of contract law in determining questions of liability for precontractual services rendered, though it does so by formulating those principles under different guises. Irrespective, however, of the doctrines utilised by the common law to impose liability, it is possible to identify a number of common elements unifying all cases of precontractual liability. In identifying such common elements of liability, it is necessary to draw on principles of both contract and tort law. How, then, should cases of precontractual liability best be classified? A consideration of the issue of classification of precontractual liability from a perspective of German civil law will demonstrate that a better understanding of cases of precontractual liability will be gained by classifying such cases as lying between the existing categories of contract and tort.

Elemental composition of mantle tissue granules in Hyridella depressa (Unionida) from the Hawkesbury-Nepean River system, Australia: inferences from catchment chemistry

2000 ◽  
Vol 51 (2) ◽  
pp. 183 ◽  
Author(s):  
Maria Byrne ◽  
Peter A. Vesk
Keyword(s):  
Freshwater Mussel ◽  
River System ◽  
Direct Analysis ◽  
Common Elements ◽  
Mantle Tissue ◽  
South Wales ◽  
The Common ◽  
Australian Freshwater ◽  
River Site

The Australian freshwater mussel Hyridella depressa sequesters elements in calcium phosphate (CaP) granules that form extensive aggregations in its tissues. Elements contained in these granules were determined by X-ray microanalysis of river and lake mussels from the Hawkesbury–Nepean River system, New South Wales. Granules in freeze-substituted mantle tissue were analysed to determine the variation in element profiles in granules among mussels and among sites. For the common elements Ca, P, Fe, Mg and Mn, granule composition reflected catchment lithology and site trophic status and indicated exogenous input. These were most important for differentiation among lake sites and also indicated differences between lake and river mussels. Site differences seen with some common elements in granules from lake mussels correlated with differences in water chemistry. Trace elements, particularly Al, Cu, Zn and Pb, were also important in lake and river site differentiation. The granules play a major role in element dynamics in freshwater mussel tissues and provide a focal structure for direct analysis of element accumulation by these bivalves. The results indicate that characterization of element content of granules in mussel populations would provide valuable insights into animal–element interactions in freshwater systems for ecological and ecotoxicological investigations.

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