scholarly journals X. On Hamilton's numbers

1887 ◽  
Vol 178 ◽  
pp. 285-312
Keyword(s):  
General Equation ◽  
Minimum Degree ◽  
A Priori ◽  
Senior Author ◽  
System Of Equations ◽  
Absolute Minimum ◽  
Doctor Of Philosophy ◽  
The University ◽  
The Given ◽  
Trinomial Equation

In the year 1786 Erland Samuel Bring, Professor at the University of Lund in Sweden, showed how by an extension of the method of Tschirnhausen it was possible to deprive the general algebraical equation of the 5th degree of three of its terms without solving an equation higher than the 3rd degree. By a well-understood, however singular, academical fiction, this discovery was ascribed by him to one of his own pupils, a certain Sven Gustaf Sommelius, and embodied in a thesis humbly submitted to himself for approval by that pupil, as a preliminary to his obtaining his degree of Doctor of Philosophy in the University. The process for effecting this reduction seems to have been overlooked or forgotten, and was subsequently re-discovered many years later by Mr. Jerrard. In a report contained in the ‘Proceedings of the British Association’ for 1836, Sir William Hamilton showed that Mr. Jerrard was mistaken in supposing that the method was adequate to taking away more than three terms of the equation of the 5th degree, but supplemented this somewhat unnecessary refutation of a result, known à priori to be impossible, by an extremely valuable discussion of a question raised by Mr. Jerrard as to the number of variables required in order that any system of equations of given degrees in those variables shall admit of being satisfied without solving any equation of a degree higher than the highest of the given degrees. In the year 1886 the senior author of this memoir showed in a paper in Kronecker'e (better known as Crelle’s ) ‘Journal that the trinomial equation of the 5th degree, upon which by Bring’s method the general equation of that degree can be made to depend, has necessarily imagmaiy coefficients except in the case where four of the roots of the original equation are imaginary, and also pointed out method of obtaining the absolute minimum degree M of an equation from which an given number of specified terms can be taken away subject to the condition of no having to solve any equation of a degree higher than M. The numbers furnished be Hamilton’s method, it is to be observed, are not minima unless a more stringer condition than this is substituted, viz., that the system of equations which have to be resolved in order to take away the proposed terms shall be the simplest possible i. e ., of the lowest possible weight and not merely of the lowest order; in the memo: in ‘Crelle,’ above referred to, he has explained in what sense the words weight an order are here employed. He has given the name of Hamilton’s Numbers to these relative minima (minima, i. e ., in regard to weight) for the case where the terms to be taken away from the equation occupy consecutive places in it, beginning with the second.

Doctor of Business Administration (D.B.A.): A Viable Credential for Faculty in Programmatically Accredited Business Degree Programs?

10.28945/3529 ◽  
2016 ◽  
Vol 11 ◽  
pp. 217-226 ◽  
Author(s):  
Helen L MacLennan ◽  
Anthony A Pina ◽  
Kenneth A Moran ◽  
Patrick F Hafford
Keyword(s):  
Doctoral Program ◽  
Business Administration ◽  
Academic Programs ◽  
Future Research ◽  
Degree Programs ◽  
Business Programs ◽  
Professional Degree ◽  
Doctor Of Philosophy ◽  
Business Practitioners ◽  
The University

Is the Doctor of Business Administration (D.B.A) a viable degree option for those wishing a career in academe? The D.B.A. degree is often considered to be a professional degree, in-tended for business practitioners, while the Doctor of Philosophy (Ph.D.) degree is por-trayed as the degree for preparing college or university faculty. Conversely, many academic programs market their D.B.A. programs to future academicians. In this study, we investigat-ed whether the D.B.A. is, in fact, a viable faculty credential by gathering data from univer-sity catalogs and doctoral program websites and handbooks from 427 graduate business and management programs to analyze the terminal degrees held by 6159 faculty. The analysis indicated that 173 institutions (just over 40% of the total) employed 372 faculty whose ter-minal degree was the D.B.A. This constituted just over 6% of the total number of faculty. Additionally, the program and faculty qualification standards of the six regional accrediting agencies and the three programmatic accrediting agencies for business programs (AACSB, IACBE, and ACBSP) were analyzed. Results indicated that all these accrediting agencies treated the D.B.A. and Ph.D. in business identically and that the D.B.A. was universally considered to be a valid credential for teaching business at the university level. Suggestions for future research are also offered.

NEWS AND ANNOUNCEMENTS

PEDIATRICS ◽  
1974 ◽  
Vol 53 (1) ◽  
pp. 127-129
Keyword(s):  
Los Angeles ◽  
General Hospital ◽  
International Association ◽  
Health Professions ◽  
Colorado School ◽  
Allied Health Professions ◽  
University Of Colorado ◽  
School Of Medicine ◽  
The University ◽  
The Given

ALLIED HEALTH PROFESSIONS MEETINGS: The International Association of Enterostomal Therapists and the Southern California Para-urology Society will meet February 1-2, 1974, at the Sheraton Inn in Los Angeles. For information write Evonne Fowler, R.N., Department of Surgery, Harbor General Hospital, 1000 West Carson Street, Torrance, California 90509. NEWBORN RADIOLOGY SEMINAR: The University of Colorado School of Medicine will sponsor the second annual Newborn Radiology seminar, February 11-15, 1974, at the Given Institute of Pathobiology in Aspen.

scholarly journals Coping strategies as mediators in the relationship between test anxiety and academic achievement

Psihologija ◽  
2017 ◽  
Vol 50 (1) ◽  
pp. 51-66 ◽  
Author(s):  
Ana Genc
Keyword(s):  
Coping Strategies ◽  
Test Anxiety ◽  
Coping Mechanisms ◽  
German Studies ◽  
Mediating Role ◽  
Novi Sad ◽  
The University ◽  
The Given ◽  
The Relationship

In most modern societies, nearly every realm of life involves some form of evaluation of our knowledge, abilities and skills. Given the potentially significant consequences of exams, it is not surprising that they are often very stressful. This study aimed to determine the existence and nature of the relationships between level of test anxiety, coping strategies, and achieved success on a mid-term test. As well as examining the direct relations between the given variables, our primary interest was to investigate the potential mediating role of coping mechanisms between the input and output variables of the examined stressful transaction. The study was conducted on a sample of 263 students from the Psychology and German Studies Departments of the Faculty of Philosophy at the University of Novi Sad. According to our results, only emotion-focused coping mechanisms were statistically significant mediators in the relationship between level of test anxiety and mid-term test achievement. The results indicate that students with high test anxiety who employ predominantly emotion-focused coping strategies score lower on a pre-exam knowledge test.

scholarly journals Justifying Unparticipated Causality in Proclus

2017 ◽  
Author(s):  
Jonathan Greig
Keyword(s):  
A Priori ◽  
First Principle ◽  
Efficient Cause ◽  
University Of Edinburgh ◽  
Separate Source ◽  
The Absolute ◽  
First Cause ◽  
Necessary And Sufficient ◽  
The University ◽  
Phd Thesis

Proclus introduces the concept of the unparticipated (ἀμέθεκτον) (P1) among two other terms— the participated (P2) and participant (P3)—as the first principle (ἀρχή) of any given series of entities or Forms in his metaphysical structure. For instance, the unparticipated monad (P1), Soul, generates all individual, participated souls (P2), which in turn generate the attribute of life in their respective, participating bodies (P3). Proclus looks at (P2) as an efficient cause of (P3), where (P2) must be the attribute in actuality in relation to the attribute it brings about in (P3). At the outset, this suggests that (P2) is necessary and sufficient for (P3), which then implies a problem for positing (P1): if (P2) is doing the causal legwork for (P3), what role does (P1) play? One of Proclus’ main explanations is that (P1) is responsible for ‘unifying’ the multiple participated entities (P2), so that the commonality of the participated entities (P2) must go back to a separate source (P1). However, one could easily respond that this just amounts to a reversion to a priori Platonist principles for transcendent, separate Forms without providing a real justification for the necessity of (P1) as a cause. In my talk, I wish to elaborate on how Proclus thinks about (P1)’s type of causation in relation to (P2) and (P3), particularly showing why (P2) for Proclus is ultimately insufficient as an efficient cause compared to (P1) as the absolute first cause for a given series.[Early work on a PhD thesis chapter — presentation for the University of Edinburgh, July 16, 2017. Any comments or feedback are welcome!]

scholarly journals Menghitung Waktu Panen Tanaman Bawang Merah Berbasis Heat Unit pada Pemberian Pupuk Organik di Tanah Gambut

2016 ◽  
Vol 16 (1) ◽  
pp. 47-56
Author(s):  
Djoko Eko Hadi Susilo
Keyword(s):  
Organic Fertilizer ◽  
Peat Soil ◽  
Daily Temperature ◽  
Harvest Time ◽  
Onion Plant ◽  
Heat Unit ◽  
Heating Unit ◽  
Chicken Feces ◽  
The University ◽  
The Given

Determining of the harvest of onion in the peat soil can be done by using physiological harvest criteria, but calculating the appropriate of harvest time can support the quality of harvesting of the onion plant. This study was conducted by using polybags in research and experiment gardens of the Faculty of Agriculture and Forestry of the University of Muhammadiyah Palangkaraya from April to June in 2016. The given fertilization was an organic fertilizer in peat soil by using stall fertilizer like chicken feces with dosages of 15-30 tons ha-1 (PK) and bokashi of stall fertilizer of chicken feces with a dosage of 2-5 tons ha-1 (BK). The observation was done to the calculation of daily temperature (�C), the average of daily temperature (�C), and the unit of heat (heat unit) (�C day) as long as the cultivation of onion plant. The results showed that the harvest time that appropriate to the harvest physiological criteria in the treatment of BK at the age of 57 days after planting is relatively accurate and appropriate because it has a heating unit for 947,17oC day, and the harvest time that appropriate to the harvest physiological criteria of PK treatment at the age of 59 days after planting is relatively late because it has a heating unit for 978,09oC day.

scholarly journals Volodymyr Oleksyuk is a philosopher-theologian with a Ukrainian soul (to the 100th anniversary of his birth and the 20th anniversary of his death)

2013 ◽  
pp. 238-244
Author(s):  
Anatolii M. Kolodnyi
Keyword(s):  
New York ◽  
100Th Anniversary ◽  
Social Progress ◽  
Philosophical Tradition ◽  
Ethnic Consciousness ◽  
The Galaxy ◽  
National Affiliation ◽  
Doctor Of Philosophy ◽  
The Difference ◽  
The University

The national affiliation of the philosopher is determined not by the geographical terrain of his residence, not by the language of the publication of works, not by his favor to a certain philosophical tradition, but above all by the spirit of ethnic consciousness, which with the need to be seen in the content of his writings, their thematic orientation, in the style of philosophizing, the practical orientation of his creative heritage - the desire to help their people in historical self-determination, in its social progress. It is the latter that gives grounds to be attributed to the galaxy of the Ukrainian philosophers of the doctor of philosophy Volodymyr Ilyich Oleksyuk who was born in 1913 - this is one hundred years ago - in the famous Carpathian village of Sheshory, he received secondary education in Kolomyia, philosophical - at Lviv University, at the universities of Freiburg and New York Doctor degree for work "Metaphysical reality of the difference between the essence and existence of existence" V.Oksyuk received in 1967 at the University of East Florida. Since 1970, he lived in Chicago, headed the Ukrainian Catholic Academic Association "Obnov", at the same time was a member of a number of international philosophical societies.

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