The Hollow Month At Athens

Mnemosyne ◽  
1977 ◽  
Vol 30 (3) ◽  
pp. 217-242
Author(s):  
Benjamin D. Meritt
Keyword(s):  
Fifth Century ◽  
Second Century ◽  
Great Probability ◽  
True Value ◽  
Explicit Statement ◽  
On Line ◽  
The One ◽  
New Evidence

Abstract(1) Metageitnion in 407/6 was made a hollow month while still retaining δευτερα φνoντo by the omission of a day after δεℵάτη υστερα, undoubtedly ενάτη φνoντo (pp. 230-2). (2) Skirophorion in 407/6 was made a hollow month while still retaining by the omission of a day between and It can be affirmed with great probability that the omitted day was actually (pp. 232-3). (3) Mounichion in 407/6 was planned as a hollow month while still retaining and omitting a day earlier than This was almost certainly (pp. 234-5). (4) Pollux, VIII 117, unequivocally retains in a hollow month (pp. 220-1). (5) A double tradition in Pollux (Ms. B) gives the calendar count for a hollow month without omitting (p. 220). (6) The Roman calendar, which did not omit pridie Kalendas, in its shorter months was modeled on the Athenian calendar which did not omit in a hollow month (p. 224). (7) The scholion of Proklos on Hesiod, Works and Days, line 814, shows that the count of days which caused confusion at the end of the month by omitting the next to the last day is not Athenian. It contradicts the scholion on line 765 (as transmitted) which is corrupt in saying that in the Boiotian calendar the next to the last day was omitted by the Athenians. The evidence of Moschopoulos (ca. A.D. 1300) who depends on this passage is also discredited (pp. 224-6). (8) The scholia vetera on the Clouds of Aristophanes give the count of days in a hollow month without omitting The omitted day was where the backward count began (pp. 221-3). (9) Solon is said to have introduced backward count in the last decade of an Athenian month. If is omitted in a hollow month the true value of every day with backward count is falsified (pp. 219-20). (10) It is questionable that 'hollow' (ℵoλo) can properly describe a month that has only the next to the last day omitted, the 28th out of 30 (p. 223). (11) Comparison of two calendar equations in I.G. II2, 338 and 339 of 333/2 B.C. shows that Metageitnion was a hollow month, but that the omitted day came earlier than was not omitted (pp. 229-30). (12) The calendar of 303/2 gives to Skirophorion an unnecessarily complex final two days unless is retained as the 28th day (pp. 227-9). (13) Aristophanes would not have used to alleviate the worries of Strepsiades in the Clouds if a hollow month had been available with this day missing to make his fears more pressing (p. 240). (14) The εℵάδε were the 20th and 21st days of every month. No other days were so named (pp. 235-9). The literary and the epigraphical evidence, especially the new evidence from the Choiseul Marble, combine to make an unassailable case that was not the omitted day in a hollow month in Athens. In evaluating the literary evidence the testimony of the scholia vetera and the explicit statement of Pollux of the second century outweigh the one scholion of Proklos of the fifth century which has to be emended even by those who rely upon it. Evidence from other sources outside Athens (except for Rome) has no bearing on the Athenian calendar and is not here discussed 70).

The Cloud‐Astrophysics of Xenophanes and Ionian Material Monism

2009 ◽  
Author(s):  
Alexander P. D. Mourelatos
Keyword(s):  
Nineteenth Century ◽  
Fifth Century ◽  
Second Century ◽  
Human Knowledge ◽  
Next Generation ◽  
Critical Thought ◽  
Standard Edition ◽  
The One

This article discusses Xenophanes' “cloud astro-physics”. It analyses and explains all heavenly and meteorological phenomena in terms of clouds. It provides a view of this newer Xenophanes, who is now being recognized as an important philosopher-scientist in his own right and a crucial figure in the development of critical thought about human knowledge and its objects in the next generation of Presocratic thinkers. Xenophanes' account has been preserved in Aëtius, the doxographic compendium (1st or 2nd century ce) reconstructed by Hermann Diels late in the nineteenth century mainly from two sources that show extensive parallelism: pseudo-Plutarch Placita Philosophorum or Epitome of Physical Opinions (second century ce); and Ioannes Stobaeus' Eclogae Physicae or Physical Extracts (fifth century ce). In the Stobaeus version, which is also the one printed in the standard edition of the Pre-socratics.

Aspects of the Evolution of the Romanian Tourists’ Preferences Concerning the Domestic Tourist Destinations

2019 ◽  
Vol 10 (1) ◽  
pp. 21-28
Author(s):  
Aniela Bălăcescu ◽  
Radu Șerban Zaharia
Keyword(s):  
Logistic Model ◽  
Local Level ◽  
Medium Term ◽  
Tourist Destinations ◽  
Tourism Management ◽  
Production And Consumption ◽  
On Line ◽  
The One ◽  
Long Term Studies

Abstract Tourist services represent a category of services in which the inseparability of production and consumption, the inability to be storable, the immateriality, and last but not least non-durability, induces in tourism management a number of peculiarities and difficulties. Under these circumstances the development of medium-term strategies involves long-term studies regarding on the one hand the developments and characteristics of the demand, and on the other hand the tourist potential analysis at regional and local level. Although in the past 20 years there has been tremendous growth of on-line booking made by household users, the tour operators agencies as well as those with sales activity continue to offer the specific services for a large number of tourists, that number, in the case of domestic tourism, increased by 1.6 times in case of the tour operators and by 4.44 times in case of the agencies with sales activity. At the same time, there have been changes in the preferences of tourists regarding their holiday destinations in Romania. Started on these considerations, paper based on a logistic model, examines the evolution of the probabilities and scores corresponding to the way the Romanian tourists spend their holidays on the types of tourism agencies, actions and tourist areas in Romania.

Heuristic Algorithms for Waste Load Allocation in a River Basin

1989 ◽  
Vol 21 (8-9) ◽  
pp. 1057-1064 ◽  
Author(s):  
Vijay Joshi ◽  
Prasad Modak
Keyword(s):  
Dynamic Programming ◽  
Heuristic Algorithms ◽  
Water Quality Management ◽  
User Preferences ◽  
Theory And Practice ◽  
Waste Load Allocation ◽  
Practical Applications ◽  
Waste Load ◽  
On Line ◽  
The One

Waste load allocation for rivers has been a topic of growing interest. Dynamic programming based algorithms are particularly attractive in this context and are widely reported in the literature. Codes developed for dynamic programming are however complex, require substantial computer resources and importantly do not allow interactions of the user. Further, there is always resistance to utilizing mathematical programming based algorithms for practical applications. There has been therefore always a gap between theory and practice in systems analysis in water quality management. This paper presents various heuristic algorithms to bridge this gap with supporting comparisons with dynamic programming based algorithms. These heuristics make a good use of the insight gained in the system's behaviour through experience, a process akin to the one adopted by field personnel and therefore can readily be understood by a user familiar with the system. Also they allow user preferences in decision making via on-line interaction. Experience has shown that these heuristics are indeed well founded and compare very favourably with the sophisticated dynamic programming algorithms. Two examples have been included which demonstrate such a success of the heuristic algorithms.

Capital Scripts

2020 ◽  
pp. 78-97
Author(s):  
David Wright
Keyword(s):  
Eighth Century ◽  
Fifth Century ◽  
Second Century ◽  
Sixth Century ◽  
Augustan Era

This chapter surveys capital letterforms, which have been in use from the second century BC until the present day. It defines two types of capitals in use since the Augustan Era: formal Square Capitals and informal Rustic Capitals, and traces the development of Rustic Capitals as a text hand in manuscripts of classical authors until the sixth century AD as well as the use of Square Capitals until the late fifth century AD. It closes with a look at the use of Rustic Capitals in rubrics of eighth-century manuscripts from England, and Rustic and Square Capitals found in Carolingian contexts.

scholarly journals Understanding mathematics of Grover’s algorithm

2021 ◽  
Vol 20 (5) ◽  
Author(s):  
Paweł J. Szabłowski
Keyword(s):  
Phase Change ◽  
Unitary Operator ◽  
Mathematical Structure ◽  
Complex Numbers ◽  
Unitary Operators ◽  
Grover’S Algorithm ◽  
Great Probability ◽  
Grover's Algorithm ◽  
One Step ◽  
The One

AbstractWe analyze the mathematical structure of the classical Grover’s algorithm and put it within the framework of linear algebra over the complex numbers. We also generalize it in the sense, that we are seeking not the one ‘chosen’ element (sometimes called a ‘solution’) of the dataset, but a set of m such ‘chosen’ elements (out of $$n>m)$$ n > m ) . Besides, we do not assume that the so-called initial superposition is uniform. We assume also that we have at our disposal an oracle that ‘marks,’ by a suitable phase change $$\varphi $$ φ , all these ‘chosen’ elements. In the first part of the paper, we construct a unique unitary operator that selects all ‘chosen’ elements in one step. The constructed operator is uniquely defined by the numbers $$\varphi $$ φ and $$\alpha $$ α which is a certain function of the coefficients of the initial superposition. Moreover, it is in the form of a composition of two so-called reflections. The result is purely theoretical since the phase change required to reach this heavily depends on $$\alpha $$ α . In the second part, we construct unitary operators having a form of composition of two or more reflections (generalizing the constructed operator) given the set of orthogonal versors. We find properties of these operations, in particular, their compositions. Further, by considering a fixed, ‘convenient’ phase change $$\varphi ,$$ φ , and by sequentially applying the so-constructed operator, we find the number of steps to find these ‘chosen’ elements with great probability. We apply this knowledge to study the generalizations of Grover’s algorithm ($$m=1,\phi =\pi $$ m = 1 , ϕ = π ), which are of the form, the found previously, unitary operators.

III. Language and Stage Action

1984 ◽  
Vol 16 ◽  
pp. 8-11
Keyword(s):  
Fifth Century ◽  
Second Century ◽  
Dio Chrysostom ◽  
Dionysius Of Halicarnassus

Although the career of Sophocles overlapped in its earlier years with that of Aeschylus and later on with that of Euripides, it is very hard to avoid over-simplifying the development of fifth-century tragedy into a progression from Aeschylus to Sophocles to Euripides. The same simplification is found amongst ancient critics, for whom Sophocles is ‘the middle one’ in ways which go beyond mere chronology. Thus Dio Chrysostom (first/early-second century A.D.) in his comparison of the three tragedians’ versions of the Philoctetes story says of Sophocles that ‘he seems to stand midway between the two others, since he has neither the ruggedness and simplicity of Aeschylus nor the precision and shrewdness and urbanity of Euripides, yet he produces a poetry that is august and majestic (σϵμνήν δέ τινα καί μϵγαλοπρϵπἢ ποίησιν), highly tragic and euphonious in its phrasing, so that there is the fullest pleasure coupled with sublimity and Stateliness (μϵτἁ ὕψους καί σϵμνότητος)’ Approximately a century earlier the critic Dionysius of Halicarnassus also found a ‘middle’ quality in Sophocles’ style: between the ‘austere’ (Pindar, Aeschylus, Thucydides, etc.) and the ‘smooth’ (Sappho, Euripides, Isocrates, etc.) he located the intermediate, ‘well-blended’ (ϵὔκρατος) mode of composition, including Sophocles as well as Homer, Demosthenes, Plato, and others. Of this intermediate style Dionysius says he is at a loss to decide ‘whether it is produced by excluding the extremes or by blending them’; but it is at any rate clear that it is defined principally by reference to what it is not.

Danebury, Hampshire: Second Interim Report on the Excavations 1971–5

1976 ◽  
Vol 56 (2) ◽  
pp. 198-216 ◽  
Author(s):  
Barry Cunliffe
Keyword(s):  
Fifth Century ◽  
Second Century ◽  
The Other ◽  
Third Century ◽  
Interim Report ◽  
The Third ◽  
The Hill ◽  
Religious Nature ◽  
Continuous Strip

SummaryThe results of five seasons of excavation (1971–5) are summarized. A continuous strip 30–40 m. wide extending across the centre of the fort from one side to the other was completely excavated revealing pits, gullies, circular stake-built houses, rectangular buildings, and 2-, 4-, and 6-post structures, belonging to the period from the sixth to the end of the second century B.C. The types of structures are discussed. A sequence of development, based largely upon the stratification preserved behind the ramparts, is presented: in the sixth–fifth century the hill was occupied by small four-post ‘granaries’ possibly enclosed by a palisade. The first hill-fort rampart was built in the fifth century protecting houses, an area of storage pits, and a zone of 4-and 6-post buildings laid out in rows along streets. The rampart was heightened in the third century, after which pits continued to be dug and rows of circular houses were built. About 100 B.C. rectangular buildings, possibly of a religious nature, were erected, after which the site was virtually abandoned. Social and economic matters are considered. The excavation will continue.

scholarly journals Digital Governance of Moroccan School Establishments

2021 ◽  
pp. 348-355
Author(s):  
Abderrazak Mazouak ◽  
Malika Tridane ◽  
Said Belaaouad
Keyword(s):  
Research Work ◽  
Project Planning ◽  
Pedagogical Practices ◽  
Third Phase ◽  
First Results ◽  
On Line ◽  
The One ◽  
Traditional Paradigm ◽  
And Control ◽  
Relationship Of

Digital technologies have come to shake up the traditional paradigm of learning, and to change the existing relationship of "know-teaching" to put in place a key concept of the time is "to accompany through digital tools Our intervention is part of a technical-pedagogical approach and will focus on an action research work in which we will try:First, to present on line an accessible digital device that facilitates and organizes project planning and provides means to govern and control the quality of administrative acts.Next, We will show the first results of the experimentation of this tool in our context of research represented by 355 directors of the secondary schools of the provincial delegation of Taza. Morocco, pointing out all the constraints and limitations that hampered its implementation.Finally, we confirm that the use of this device by our sampling has caused a triple effect on their pedagogical practices: the professionalization of strategic planning on the one hand, and the governance of resources and the rationalization of pedagogical decisions on the other hand and immediate evaluation and regulation in the third phase.

scholarly journals The Groma and the Gladius: Roman Surveyors in the Later Republic

2021 ◽  
Author(s):  
◽  
Jason C Morris
Keyword(s):  
Social Identity ◽  
Roman Republic ◽  
Legal Framework ◽  
Fifth Century ◽  
Second Century ◽  
Social Forces ◽  
Roman Army ◽  
Imperial Period ◽  
The Social ◽  
Land Surveying

<p>Boundaries have been a concern for all settled peoples in all times and places. The Romans  were no exception to this rule. Literary documents from the second century B.C. right  through to the end of the Western Empire in the fifth century A.D. show a continuous  preoccupation with the delineation of boundaries and the ownership or control of land. As part of this preoccupation, the Romans developed a complex legal framework for coping with property ownership. To accompany this legal framework, they developed a sophisticated system of boundary marking and land surveying known as centuriation. A great deal of scholarly attention has been expended on understanding both the system of centuriation and the legal framework governing Roman land use. Far less attention has been paid to the social development of the agrimensores or land surveyors who actually carried out the operation of centuriation and dealt with the problems of property disputes in the Imperial period. This thesis will focus on the social identity of the Roman land surveyors with a particular emphasis on understanding their origins in the surveying institutions of the later Republic. To accomplish this study, the thesis will be broken down into three broad chapters, each chapter containing two or three subsections. The first chapter will examine the social identity and evolution of the finitor, who has traditionally been considered the surveyor of the Roman Republic. The second chapter will examine the identity of the agrimensores or mensores in the particular context of the Roman army in an effort to distinguish them from the metatores, three names which have been considered to refer to the same or a similar occupation. The third chapter will examine the mensor in the context of the Roman Republic and trace the social forces that shaped their identity as specialists in land law and surveying.</p>

scholarly journals Quality of learners at the start of each educational process

2019 ◽  
Vol 9 (14) ◽  
Author(s):  
Abdennasser Naji
Keyword(s):  
Control Systems ◽  
Preventive Measures ◽  
Educational Process ◽  
Service Needs ◽  
True Value ◽  
Previous Cycle ◽  
Set Up ◽  
The One

The education system is organized in the form of cycles, each feeding the one following it with learners. They will continue their studies in the destination cycle, and their future will certainly depend, at least in part, on the quality of the skills acquired in the previous cycle. Given the divergences and disparities existing between the different cycles mainly due to the fact that each responds to its own design logic and in the absence of coordination between them, there is a huge lack of quality to gain at the interface of the cycles . The referral system that plays the role of supply service needs to be updated to strengthen educational quality, but it is not the only one. It is also necessary to help the orienting staff to assess the quality of the learners at its true value, to set up partnership links between the cycles to help each other in favor of quality, and to set up reception control systems at the entry of each cycle, supported by corrective and preventive measures.

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