Two Commentaries on Euclid's Definition of Proportional Magnitudes

1994 ◽  
Vol 4 (1) ◽  
pp. 181-198 ◽  
Author(s):  
Bijan Vahabzadeh

Euclid's definition of proportional magnitudes in the Fifth Book of the Elements gave rise to many commentaries. We examine closely two of these commentaries, one by al-Jayyānī (11th century) and the other by Saunderson (18th century). Both al-Jayyānī and Saunderson attempted to defend Euclid's definition by making explicit what Euclid had only implied. We show that the two authors explain Euclid's position in a virtually identical manner.

Author(s):  
K. T. Tokuyasu

During the past investigations of immunoferritin localization of intracellular antigens in ultrathin frozen sections, we found that the degree of negative staining required to delineate u1trastructural details was often too dense for the recognition of ferritin particles. The quality of positive staining of ultrathin frozen sections, on the other hand, has generally been far inferior to that attainable in conventional plastic embedded sections, particularly in the definition of membranes. As we discussed before, a main cause of this difficulty seemed to be the vulnerability of frozen sections to the damaging effects of air-water surface tension at the time of drying of the sections.Indeed, we found that the quality of positive staining is greatly improved when positively stained frozen sections are protected against the effects of surface tension by embedding them in thin layers of mechanically stable materials at the time of drying (unpublished).


2014 ◽  
Vol 3 ◽  
pp. 166-182
Author(s):  
Iryna Tsiborovska-Rymarovych

The article has as its object the elucidation of the history of the Vyshnivetsky Castle Library, definition of the content of its fund, its historical and cultural significance, correlation of the founder of the Library Mychailo Servaty Vyshnivetsky with the Book.The Vyshnivetsky Castle Library was formed in the Ukrainian historical region of Volyn’, in the Vyshnivets town – “family nest” of the old Ukrainian noble family of the Vyshnivetskies under the “Korybut” coat of arm. The founder of the Library was Prince Mychailo Servaty Vyshnivetsky (1680–1744) – Grand Hetman and Grand Chancellor of the Grand Duchy of Lithuania, Vilno Voievoda. He was a politician, an erudite and great bibliophile. In the 30th–40th of the 18th century the main Prince’s residence Vyshnivets became an important centre of magnate’s culture in Rich Pospolyta. M. S. Vyshnivetsky’s contemporaries from the noble class and clergy knew quite well about his library and really appreciated it. According to historical documents 5 periods are defined in the Library’s history. In the historical sources the first place is occupied by old-printed books of Library collection and 7 Library manuscript catalogues dating from 1745 up to the 1835 which give information about quantity and topical structures of Library collection.The Library is a historical and cultural symbol of the Enlightenment epoch. The Enlightenment and those particular concepts and cultural images pertaining to that epoch had their effect on the formation of Library’s fund. Its main features are as follow: comprehensive nature of the stock, predominance of French eighteenth century editions, presence of academic books and editions on orientalistics as well as works of the ideologues of the Enlightenment and new kinds of literature, which generated as a result of this movement – encyclopaedias, encyclopaedian dictionaries, almanacs, etc. Besides the universal nature of its stock books on history, social and political thought, fiction were dominating.The reconstruction of the history of Vyshnivetsky’s Library, the historical analysis of the provenances in its editions give us better understanding of the personality of its owners and in some cases their philanthropic activities, and a better ability to identify the role of this Library in the culture life of society in a certain epoch.


2018 ◽  
Vol 4 (1) ◽  
pp. 280-309
Author(s):  
Peter Auer ◽  
Anja Stukenbrock

Abstract In this paper, we first present a close analysis of conversational data, capturing the variety of non-addressee deictic usages of du in contemporary German. From its beginnings, it has been possible to use non-addressee deictic du not only for generic statements, but also for subjective utterances by a speaker who mainly refers to his or her own experiences. We will present some thoughts on the specific inferences leading to this interpretation, making reference to Buhler’s deixis at the phantasm. In the second part of the paper, we show that non-addressee deictic du (‘thou’) as found in present-day German is not an innovation but goes back at least to the 18th century. However, there is some evidence that this usage has been spreading over the last 50 years or so. We will link non-addressee deictic du back historically to the two types of “person-shift” for du discussed by Jakob Grimm in his 1856 article “Uber den Personenwechsel in der Rede” [On person shift in discourse]. Grimm distinguishes between person shift in formulations of “rules and law” on the one hand, and person shift in what he calls “thou-monologue” on the other. The subjective interpretation of non-addressee-deictic du in present-day German may have originated from these “thou-monologues”


Author(s):  
Juan de Lara ◽  
Esther Guerra

AbstractModelling is an essential activity in software engineering. It typically involves two meta-levels: one includes meta-models that describe modelling languages, and the other contains models built by instantiating those meta-models. Multi-level modelling generalizes this approach by allowing models to span an arbitrary number of meta-levels. A scenario that profits from multi-level modelling is the definition of language families that can be specialized (e.g., for different domains) by successive refinements at subsequent meta-levels, hence promoting language reuse. This enables an open set of variability options given by all possible specializations of the language family. However, multi-level modelling lacks the ability to express closed variability regarding the availability of language primitives or the possibility to opt between alternative primitive realizations. This limits the reuse opportunities of a language family. To improve this situation, we propose a novel combination of product lines with multi-level modelling to cover both open and closed variability. Our proposal is backed by a formal theory that guarantees correctness, enables top-down and bottom-up language variability design, and is implemented atop the MetaDepth multi-level modelling tool.


2018 ◽  
Vol 6 (4) ◽  
pp. 401-428
Author(s):  
Miriam R. Lowi

Studies of identity and belonging in Gulf monarchies tend to privilege tribal or religious affiliation, if not the protective role of the ruler as paterfamilias. I focus instead on the ubiquitous foreigner and explore ways in which s/he contributes to the definition of national community in contemporary gcc states. Building upon and moving beyond the scholarly literature on imported labor in the Gulf, I suggest that the different ‘categories’ of foreigners impact identity and the consolidation of a community of privilege, in keeping with the national project of ruling families. Furthermore, I argue that the ‘European,’ the non-gcc Arab, and the predominantly Asian (and increasingly African) laborer play similar, but also distinct roles in the delineation of national community: while they are differentially incorporated in ways that protect the ‘nation’ and appease the citizen-subject, varying degrees of marginality reflect Gulf society’s perceptions or aspirations of the difference between itself and ‘the other(s).’


The vapour pressure theory regards osmotic pressure as the pressure required to produce equilibrium between the pure solvent and the solution. Pressure applied to a solution increases its internal vapour pressure. If the compressed solution be on one aide of a semi-permeable partition and the pure solvent on the other, there is osmotic equilibrium when the com-pression of the solution brings its vapour pressure to equality with that of the solvent. So long ago as 1894 Ramsay* found that with a partition of palladium, permeable to hydrogen but not to nitrogen, the hydrogen pressures on each side tended to equality, notwithstanding the presence of nitrogen under pressure on one side, which it might have been supposed would have resisted tin- transpiration of the hydrogen. The bearing of this experiment on the problem of osmotic pressure was recognised by van’t Hoff, who observes that "it is very instructive as regards the means by which osmotic pressure is produced." But it was not till 1908 that the vapour pressure theory of osmotic pressure was developed on a finu foundation by Calendar. He demonstrated, by the method of the "vapour sieve" piston, the proposition that “any two solutions in equilibrium through any kind of membrane or capillary surface must have the same vapour pressures in respect of each of their constituents which is capable of diffusing through their surface of separation"—a generalisation of great importance for the theory of solutions. Findlay, in his admirable monograph, gives a very complete account of the contending theories of osmotic pressure, a review of which leaves no doubt that at the present moment the vapour pressure theory stands without a serious rival Some confusion of ideas still arises from the want of adherence to a strict definition of osmotic pressure to which numerical data from experimental measurements should he reduced. Tire following definitions appear to be tire outcome of tire vapour pressure theory :— Definition I.—The vapour pressure of a solution is the pressure of the vapour with which it is in equilibrium when under pressure of its own vapour only.


1984 ◽  
Vol 98 (2) ◽  
pp. 98-109 ◽  
Author(s):  
J. Bruyn

AbstractFrom 1911 to 1961 Félix Chrétien, secretary to François de Dinteville II, Bishop of Auxerre in Burgundy, and from 1542 onwards a canon in that town, was thought to be the author of three remarkable paintings. Two of these were mentioned by an 18th-century local historian as passing for his work: a tripych dated 1535 on the central panel with scenes from the legend of St. Eugenia, which is now in the parish church at Varzy (Figs. 1-3, cf. Note 10), and a panel dated 1550 with the Martyrdom of St. Stephen in the ambulatory of Auxerre Cathedral. To these was added a third work, a panel dated 1537 with Moses and Aaron before Pharaoh, which is now in New York (Figs. 4-5, cf. Notes I and 3). All three works contain a portrait of François de Dinteville, who is accompanied in the Varzy triptych and the New York panel (where he figures as Aaron) by other portrait figures. In the last-named picture these include his brothers) one of whom , Jean de Dinteville, is well-known as the man who commissioned Holbein's Ambassadors in 1533. Both the Holbein and Moses and Aaron remained in the family's possession until 1787. In order to account for the striking affinity between the style of this artist and that of Netherlandish Renaissance painters, Jan van Scorel in particular, Anthony Blunt posited a common debt to Italy, assuming that the painter accompanied François de Dinteville on a mission to Rome in 1531-3 (Note 4). Charles Sterling) on the other hand, thought of Netherlandish influence on him (Note 5). In 1961 Jacques Thuillier not only stressed the Northern features in the artist's style, especially in his portraits and landscape, but also deciphered Dutch words in the text on a tablet depicted in the Varzy triptych (Fig. I) . He concluded that the artist was a Northerner himself and could not possibly have been identical with Félix Chrétien (Note 7). Thuillier's conclusion is borne out by the occurrence of two coats of arms on the church depicted in the Varzy triptych (Fig. 2), one of which is that of a Guild of St. Luke, the other that of the town of Haarlem. The artist obviously wanted it to be known that he was a master in the Haarlem guild. Unfortunately, the Haarlem guild archives provide no definite clue as to his identity. He may conceivably have been Bartholomeus Pons, a painter from Haarlem, who appears to have visited Rome and departed again before 22 June 15 18, when the Cardinal of S. Maria in Aracoeli addressed a letter of indulgence to him (without calling him a master) care of a master at 'Tornis'-possibly Tournus in Burgundy (Note 11). The name of Bartholomeus Pons is further to be found in a list of masters in the Haarlem guild (which starts in 1502, but gives no further dates, Note 12), while one Bartholomeus received a commission for painting two altarpiece wings and a predella for Egmond Abbey in 1523 - 4 (Note 13). An identification of the so-called Félix Chrétien with Batholomeus Pons must remain hypothetical, though there are a number of correspondences between the reconstructed career of the one and the fragmentary biography of the other. The painter's work seems to betray an early training in a somewhat old-fashioned Haarlem workshop, presumably around 1510. He appears to have known Raphael's work in its classical phase of about 1515 - 6 and to have been influenced mainly by the style of the cartoons for the Sistine tapestries (although later he obviously also knew the Master of the Die's engravings of the story of Psyche of about 1532, cf .Note 8). His stylistic development would seem to parallel that of Jan van Scorel, who was mainly influenced by the slightly later Raphael of the Loggie. This may explain the absence of any direct borrowings from Scorel' work. It would also mean that a more or less Renaissance style of painting was already being practised in Haarlem before Scorel's arrival there in 1527. Thuillier added to the artist's oeuvre a panel dated 1537 in Frankfurt- with the intriguing scene of wine barrels being lowered into a cellar - which seems almost too sophisticated to be attributed to the same hand as the works in Varzy and New York, although it does appear to come from the same workshop (Fig. 6, Note 21). A portrait of a man, now in the Louvre, was identified in 197 1 as a fragment of a work by the so-called Félix Chrétien himself (Fig. 8, Note 22). The Martyrdom of St. Stephen of 1550 was rejected by Thuillier because of its barren composition and coarse execution. Yet it seems to have too much in common with the other works to be totally separated, from them and may be taken as evidence that the workshop was still active at Auxerre in 1550.


2004 ◽  
Vol 13 (10) ◽  
pp. 2249-2254
Author(s):  
JASON H. STEFFEN

Many theories which unify gravity with the other known forces of nature predict the existence of an intermediate-range "fifth force" similar to gravity. Such a force could be manifest as a deviation from the gravitational inverse-square law. Currently, at distances near 10-1 m, the inverse-square law is known to be correct to about one part per thousand. I present the design of an experiment that will improve this limit by two orders of magnitude. This is accomplished by constructing a torsion pendulum and source mass apparatus that are particularly insensitive to Newtonian gravity and, simultaneously, maximally sensitive to violations of the same.


1984 ◽  
Vol 49 (1) ◽  
pp. 47-50 ◽  
Author(s):  
Frederic B. Fitch

In [3] a definition of negation was presented for the system K′ of extended basic logic [1], but it has since been shown by Peter Päppinghaus (personal communication) that this definition fails to give rise to the law of double negation as I claimed it did. The purpose of this note is to revise this defective definition in such a way that it clearly does give rise to the law of double negation, as well as to the other negation rules of K′.Although Päppinghaus's original letter to me was dated September 19, 1972, the matter has remained unresolved all this time. Only recently have I seen that there is a simple way to correct the definition. I am of course very grateful to Päppinghaus for pointing out my error in claiming to be able to derive the rule of double negation from the original form of the definition.The corrected definition will, as before, use fixed-point operators to give the effect of the required kind of transfinite induction, but this time a double transfinite induction will be used, somewhat like the double transfinite induction used in [5] to define simultaneously the theorems and antitheorems of system CΓ.


2020 ◽  
pp. 1-37
Author(s):  
MANISHA SETHI

Abstract A bitter debate broke out in the Digambar Jain community in the middle of the twentieth century following the passage of the Bombay Harijan Temple Entry Act in 1947, which continued until well after the promulgation of the Untouchability (Offences) Act 1955. These laws included Jains in the definition of ‘Hindu’, and thus threw open the doors of Jain temples to formerly Untouchable castes. In the eyes of its Jain opponents, this was a frontal and terrible assault on the integrity and sanctity of the Jain dharma. Those who called themselves reformists, on the other hand, insisted on the closeness between Jainism and Hinduism. Temple entry laws and the public debates over caste became occasions for the Jains not only to examine their distance—or closeness—to Hinduism, but also the relationship between their community and the state, which came to be imagined as predominantly Hindu. This article, by focusing on the Jains and this forgotten episode, hopes to illuminate the civilizational categories underlying state practices and the fraught relationship between nationalism and minorities.


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