scholarly journals III. On the application of parabolic trigonometry to the investigation of the properties of the common catenary

1857 ◽  
Vol 8 ◽  
pp. 443-447

Some time ago, on the publication of a paper read by me last summer at Cheltenham before the Mathematical Section of the British Association on Parabolic Trigonometry and the Geometrical origin of Logarithms, Sir John Herschel called my attention to the analogy which exists between the equation of the common catenary referred to rectangular coordinates, and one of the principal formulæ of parabolic trigonometry. Since that time I have partially investigated the subject, and find, on a very cursory examination, that the most curious analogies exist between the properties of the parabola and those of the catenary,—that in general for every property of the former a corresponding one may be discovered for the latter. In this paper I cannot do more than give a mere outline of these investigations, but I hope at some future time, when less occupied with other avocations than at present, I may be permitted to resume the subject. I will only add, that the properties of this curve appear to be as inexhaustible as those of the circle or any other conic section.

1836 ◽  
Vol 13 (2) ◽  
pp. 354-372 ◽  
Author(s):  
Alexander J. Adie

For a long time I was anxious to know the rate of expansion of the common building-stone of this neighbourhood, as it is not given in any of the tables of the expansions of substances, because I have sometimes thought that the vertical cracks frequently seen intersecting rubble walls might arise from the contraction caused by a diminution of temperature. During a long-continued and severe frost which occurred in 1826, I thought the rents in a considerable stretch of wall, which I passed at all seasons, appeared more open than usual. This, however, was merely conjectural, and I paid no more attention to the subject until 1830, when, as I mentioned in a notice on the commencement of my experiments read at the meeting of the British Association in September last, an interdict of the Dean of Guild Court of Edinburgh rendered the rate of expansion of stone a matter of more importance than merely a curious philosophical speculation.


2020 ◽  
Vol 23 (10) ◽  
pp. 1182-1194
Author(s):  
A.A. Akhmetzyanov ◽  
A.Yu. Sokolov

Subject. The article focuses on the advanced time-driven tools for allocating overhead expenses, which are based on process-based budgeting. Objectives. We articulate a technique for cost allocation so as to assess the cost of each process with reference to the common time driver. Methods. The study relies upon methods of systematization, classification, analogy and comparison, and summarizes the scientific literature on the subject. Results. The article presents our own suggestions on implementing TD-ABC and TD-ABB into the strategic management accounting process of developer companies. The principles were proved to help more effectively allocate overhead expenses and assess the capacity load of each process performed by functions, departments and employees. Carrying out a comparative analysis, we found certain reserves for utilizing resources more effectively. Conclusions and Relevance. The findings are of scientific and practical significance and can be used by developer and construction businesses. The conclusions can prove helpful for scientific papers, student books, and further research.


2004 ◽  
Vol 32 (3) ◽  
pp. 337-355 ◽  
Author(s):  
Leslie Zines

This article originally was published as a Law and Policy Paper. The Law and Policy Papers series was established in 1994 by the Centre for International and Public Law in the Faculty of Law, the Australian National University. The series publishes papers contributing to understanding and discussion on matters relating to law and public policy, especially those that are the subject of contemporary debate. In 1999 the papers were published jointly by the Centre for International and Public Law and The Federation Press. This article is reproduced in the Federal Law Review with the permission of the original publishers.


Author(s):  
Justine Pila

This chapter considers the meaning of the terms that appropriately denote the subject matter protectable by registered trade mark and allied rights, including the common law action of passing off. Drawing on the earlier analyses of the objects protectable by patent and copyright, it defines the trade mark, designation of origin, and geographical indication in their current European and UK conception as hybrid inventions/works in the form of purpose-limited expressive objects. It also considers the relationship between the different requirements for trade mark and allied rights protection, and related principles of entitlement. In its conclusion, the legal understandings of trade mark and allied rights subject matter are presented as answers to the questions identified in Chapter 3 concerning the categories and essential properties of the subject matter in question, their method of individuation, and the relationship between and method of establishing their and their tokens’ existence.


2021 ◽  
Vol 11 (2) ◽  
pp. 21
Author(s):  
Julia V. Furtado ◽  
António C. Moreira ◽  
Jorge Mota

Gender affirmative action (AA) in management remains a controversial topic among scholars, practitioners, and employees. While some individuals may support the use of AA policies as a means of increasing representation of women, others are not supportive at all, further understanding gender AA as an unacceptable violation of merit—even when targeted by it. With the aim of analyzing how scholars have approached the subject, we systematically reviewed 76 published articles (SCOPUS database), covering the extant literature on gender AA and management. Findings indicate a consensus regarding the common antecedents of attitudes towards gender AA with prior experiences with AA and diversity management (DM) (as well as general perceptions of AA). Performance and satisfaction appear as the predominant outcomes. In addition, while investigating the differences among AA, equal employment opportunity (EEO) and diversity management (DM), scholars are mainly focused on the effectiveness of AA as a means of increasing the inclusion of minorities in general. We conclude that despite marginal studies on employees’ attitudes toward gender AA, there is a gap in the literature, particularly an absence of research on the bivalent position of meritocracy (or merit violation) as both an antecedent and outcome of attitudes towards AA, which deserves further scrutiny.


1973 ◽  
Vol 21 ◽  
pp. 3-7
Author(s):  
Helen Sawyer Hogg

The title of this talk is really just a different phrasing from one I have used at several IAU meetings on the subject of numbers and kinds of variables in globular clusters. To furnish this material, I have finished the Third Catalogue of Variables in Globular Clusters. Since many of you are coming to this Colloquium with new information, the Catalogue is in draft form with a request that corrections and additions be given me by October 2, after which the draft will go to the printer.The First Catalogue of Variables in Globular Clusters was published at this observatory in 1939 and the Second Catalogue in 1955. In 1966 appeared the excellent Catalogue of Variables South of Declination—29° by Fourcade, Laborde and Albarracin, with splendid large prints of identification charts.


1927 ◽  
Vol 64 (9) ◽  
pp. 386-410
Author(s):  
Elinor W. Gardner

A preliminary account of the subject of this paper was given before Section H of the British Association at the Oxford meeting in 1926 (1, 2).


1907 ◽  
Vol 45 (3) ◽  
pp. 547-554
Author(s):  
C. G. Knott

The experiments which form the subject of the present communication were carried out two years ago, and supplement results already published. A brief note of some of the results was read before the Society in June 1904, and was also read before the British Association Meeting at Cambridge in August of the same year.The previous paper discussed the effect of high temperature on the relation between electrical resistance and magnetization when the wire was magnetized longitudinally, that is, in the direction in which the resistance was measured.The present results have to do with the effect of high temperature on the relation between resistance and magnetization when the magnetization was transverse to the direction along which the resistance was measured.


1984 ◽  
Vol 35 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Robert Ombres

By the 1230s Latins and Greeks were riot short of issues for debate or polemic, but the topic of purgatory did have a novel feel about it. The doctrine seems to emerge on the common agenda fairly suddenly, finding no place, for example, in the wide-ranging list of 104 points of divergence drawn up by the Byzantine prelate, Constantine Stilbès, in the wake of the cruel sack of Constantinople by the Latins in 1204. The subject did, however, establish itself as a hardy perennial, and it is proposed to trace its main ramifications up to the death of Emperor Michael viii in 1282, and then to concentrate on the Council of Ferrara–Florence (1438–9). Without a doubt the debates and the constant attempts at reunion were not conducted in isolation from wider cultural, political and military considerations, the kind of considerations that in 1400 would lead the Byzantine emperor to journey as far as England. But here the emphasis will fall on the theological aspects. Moreover, there were also in play forces of inertia, ignorance and mutual incomprehension difficult to assess rationally. The thirteenth-century friar, Humbert of Romans O.P., in discussing what would make for reunion with the Greeks noted how a schism might be continued simply because it had existed for a long time, just like the feud between Guelf and Ghibelline.


1992 ◽  
Vol 67 (1) ◽  
pp. 3-16 ◽  
Author(s):  
Harri Hemilä

The effect of vitamin C on the common cold has been the subject of several studies. These studies do not support a considerable decrease in the incidence of the common cold with supplemental vitamin C. However, vitamin C has consistently decreased the duration of cold episodes and the severity of symptoms. The benefits that have been observed in different studies show a large variation and, therefore, the clinical significance may not be clearly inferred from them. The biochemical explanation for the benefits may be based on the antioxidant property of vitamin C. In an infection, phagocytic leucocytes become activated and they produce oxidizing compounds which are released from the cell. By reacting with these oxidants, vitamin C may decrease the inflammatory effects caused by them. Scurvy, which is caused by a deficiency in vitamin C, is mostly attributed to the decreased synthesis of collagen. However, vitamin C also participates in several other reactions, such as the destruction of oxidizing substances. The common cold studies indicate that the amounts of vitamin C which safely protect from scurvy may still be too low to provide an efficient rate for other reactions, possibly antioxidant in nature, in infected people.


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