scholarly journals On Galileo’s Tallest Column

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Mariano Vázquez Espí ◽  
Jaime Cervera Bravo ◽  
Carlos Olmedo Rojas

The height at which an unloaded column will fail under its own weight was calculated for first time by Galileo for cylindrical columns. Galileo questioned himself if there exists a shape function for the cross section of the column with which it can attain a greater height than the cylindrical column. The problem is not solved since then, although the definition of the so named “constant maximum strength” solids seems to give an affirmative answer to Galileo’s question, in the form of shapes which seem to attain infinite height, even when loaded with a useful load at the top. The main contribution of this work is to show that Galileo’s problem is (i) an important problem for structural design theory of buildings and other structures, (ii) not solved by the time being in any sense, and (iii) an interesting problem for mathematicians involved in related but very different problems (as Euler’s tallest column). A contemporary formulation of the problem is included as a result of a research on the subject.

1957 ◽  
Vol 77 (1) ◽  
pp. 54-61 ◽  
Author(s):  
Werner Jaeger

Philosophy, in general, moves in a sphere of abstraction, and its statements claim to be necessary and of universal validity. The reader therefore expects them to appeal directly to his reason, and he does not normally reflect much on the time and historical conditions that determined what the philosopher took for granted. It is only in this age of historical consciousness that we have come to appreciate these factors more readily, and the great thinkers of the past appear to us more or less closely related to the culture of their age. The writings of Plato and Aristotle in particular are for us an inexhaustible source of information about Greek society and civilisation. This is true also in regard to the relation of Greek philosophy to the science of its time, and this is of special importance for our understanding. That relation can be traced throughout Aristotle's logical, physical, and metaphysical works; but the influence of other sciences and arts is no less evident in his ethics. In this paper I propose to examine the numerous references to medicine that occur in the Nicomachean Ethics. They are mostly concerned with the question of the best method of treating this subject. The problem of the right method is always of the utmost importance for Aristotle. The discussion of it begins on the first page of the Ethics, where he tries to give a definition of the subject of this course of lectures and attributes it to a philosophical discipline that he calls ‘politics’. He does so in agreement with the Platonic tradition. We can trace it back to one of the dialogues of Plato's first period, the Gorgias, in which the Platonic Socrates for the first time pronounces his postulate of a new kind of philosophy, the object of which ought to be the care of the human soul (φυχῆς θεραπεία). He assigns this supreme task to ‘political art’, even though it does not fulfil this function at present.


Author(s):  
Olena Chumachenko

The purpose of the article consists of exploring the category of décor as a form of social belonging in ancient Rome. The methodology consists in the application of analytical method – to determine the theoretical and methodological foundations of the study of the décor in the works of Roman architects and philosophers: Vitruvius, Cicero, Seneca, Epicurus; formalization method – to clarify the concept of "décor" within the subject field of art history; the hermeneutic method – for interpreting the semantic load of the notion "décor" in the context of the culture of Ancient Rome; method of comparative studies – for analyzing approaches to understanding the category of décor as a form of social belonging in Ancient Rome. The scientific novelty of the work is that for the first time the essence of the décor as a form of social belonging in Ancient Rome. Conclusions. In Ancient Rome, the phenomenon of "Entertainment" was an important component of the socio-cultural life of this period, there was not a single sphere where this phenomenon did not act as the main decoration, the triumphs of emperors, the luxurious life of the patricians, all this was expressed in one definition of Juvenal – "Bread and circuses", Which became a defining marker in the culture and art of Ancient Rome. Décor, as an integral part of this phenomenon, becomes a form of social belonging, reflecting the characteristics of the corresponding lifestyle. The transformation of the concepts "décor" and "ornare" is considered, the first - in the ideological aspect of respect for the imperial power, the second - in the traditional decoration of Roman armor for legionnaires, as a means of emphasizing their belonging to the military. The most striking example of décor was the Arc de Triomphe, built in honor of the emperors (the Arc de Triomphe of Titus, Trajan, Constantine, etc.). On the example of the works of Vitruvius, Cicero, Seneca, the meaning of the category "décor" was considered as "Decor ornamentorum", the correspondence of details in relation to the whole, individual, special beauty that organically combines the combination of individual parts of an object into a single whole, situation or setting. Defined "décor" as a form of social belonging in the context of the transformation of the four Pompeian styles based on the decoration of insula and domus for different segments of the population (Domus aurea, "Villa of the Mysteries" in Pompeii, the house of Marcus Lucretius Frontinus in Pompeii, the villa in Oplontisi, the house of Menander in Pompeii, "House with Red Walls", "House of the Century" and "House of Julius Polybius"). Keywords: décor, interpretation, a culture of Ancient Rome, Vitruvius, Entertainment, Seneca, mosaic.


2017 ◽  
Vol 17 ◽  
pp. 391-400
Author(s):  
V T. Chuprun

The presence of the set of unresolved scientific and practical problems in the new field offorensic expertise "Military Research" is determined, and, first of all, it’s a deficit of scientific and methodical provision. The purpose of the paper is to define the comprehensive nature of forensic research in the military sphere. The experience of modern wars and armed conflicts shows that the battle of combined-arms formations acquires the features of land-and-air combat. It’s noted that in today’s combined arms battles and operations, it’s possible to solve successfully the tasks posed only in a complex manner. An analysis of the expert practice of the Kharkiv RIFE shows that during the last period the amount of the forensic military expertise has significantly increased. When conducting investigative activities in this category of criminal proceedings, a number of different issues arise, resolution of which requires special knowledge in various fields of science. In the Kharkiv RIFE there was initiated the performance of research work on the topic "The technique of forensic expert study of the work of commanders (staffs) and military formations in the preparation and realization of combat (service-combat) tasks". The novelty of the work lies in the fact that for the first time an algorithm is developed for determining, from a military point ofview, the compliance ofactions of responsible persons with the established requirements. An opinion was expressed that the subject of any research, including expert, is its immediate performer. In the latter case, it’s only a forensic expert or a person who is procedurally involved in the performance of the examination. The definition of the subject of a forensic military expertise is given. Attention is drawn to the need of availability for the forensic experts and specialists who participate in carrying out forensic military examinations, of the admittance to the information with limited access.


ICR Journal ◽  
2010 ◽  
Vol 2 (1) ◽  
pp. 18-45
Author(s):  
Mohammad Hashim Kamali

The long history of Islamic scholarship on caliphate, shari’ah-oriented policy (siyasah shar'iyyah) and system of government (nizam al-hukm) has yielded a rich legacy which is, nevertheless, beset with uncertainties in conjunction with modern developments on government and constitutional law. Uncertainties have persisted over the basic concept and definition of an Islamic polity and the existence or otherwise of a valid precedent and model for an Islamic state. This is partially caused by a tendency in modern writings to apply the nation-state ideas of eighteenth-century Europe to the events of early Islam some twelve centuries earlier and doubtful parallels that have been attempted to be drawn between them. This article attempts first to identify the causes of the problem and then proceeds with an overview of the evidence in the Qur’an and Sunnah and contributions of a cross-section of schools and scholars on the subject. This is followed by a general characterisation of an Islamic system of rule under five sub-headings, the first of which describing Islamic government whether Islamic state, and Iran in particular, is a theocracy, whether Islam stands for a qualified democracy, and whether it also upholds separation of powers. The last section discusses freedom of religion and religious pluralism in an Islamic polity followed by a conclusion and recommendations.  


2019 ◽  
Vol 25 (3) ◽  
pp. 215-227 ◽  
Author(s):  
Jun Shi ◽  
Kangkang Yang ◽  
Kaikai Zheng ◽  
Jiyang Shen ◽  
Guangchun Zhou ◽  
...  

This paper conducts the experimental and simulative analysis of stressing state characteristics for parabolic concretefilled steel tubular (CFST) arches undergoing vertical loads. The measured stain data is firstly modeled as the generalized strain energy density (GSED) to describe structural stressing state mode. Then, the normalized GSED sum Ej,norm at each load Fj derives the Ej,norm-Fj curve reflecting the stressing state characteristics of CFST arches. Furthermore, the Mann-Kendall criterion is adopted to detect the stressing state change of the CFST arch during its load-bearing process, leading to the revelation of a vital stressing state leap characteristic according to the natural law from quantitative change to qualitative change of a system. The revealed qualitative leap characteristic updates the existing definition of the CFST arch’s failure load. Finally, the accurate formula is derived to predict the failure/ultimate loads of CFST arches. Besides, a method of numerical shape function is proposed to expand the limited strain data for further analysis of the stressing state submodes. The GSED-based analysis of structural stressing state opens a new way to recognize the unseen working behavior characteristics of arch structures and the updated failure load could contribute to the improvement on the structural design codes.


2021 ◽  
Vol 71 (3) ◽  
pp. 195-206
Author(s):  
Peter Mesenburg

AbstractMaps are flat images of the earth‘s surface. The basis and prerequisite for their production is the relative spatial definition of the map content on the earth‘s surface, and this is usually done in the context of surveying recording processes. The particular accuracy of the portolan charts, which have passed on since the thirteenth century, suggests that these were also created on the basis of specific measurements, although details of their creation have not yet been clarified. Questions about the data base and especially about the projection of the maps have been the subject of scientific research for over 100 years (Kretschmer 1909; Campbell 2021). Here, for the first time, a method is presented that makes it possible to construct maps of the Mediterranean with simple aids (compasses and ruler) in such a way that they correspond to the accuracy and other properties of the portolan charts. A map projection is used for which there are no mapping equations, but at most a mapping description. As a surveying basis for the mapping, distances are used that have been determined with a high degree of probability since ancient times. Triangles are constructed from these lines and transferred directly to the plane without any reduction in the image. The result is a geometrically unambiguous field of support points of known ports. The missing coastal structures can be supplemented after the construction of the field of support points on the basis of traditional coastal descriptions (Portolani/Periploi).


2013 ◽  
Vol 409-410 ◽  
pp. 392-395 ◽  
Author(s):  
Andrey Volkov

Based on research performed by the author, a universal formal definition of the concept of Intelligent Buildings in terms of theoretical cybernetics, set theory, system analysis, functional analysis (measure theory, function theory) and mathematical logic is proposed for the first time. The definition includes the absolute and design levels of abstraction as well as the abstract definition of the Building Intelligence Quotient (BIQ) which can be extended to any aspect of the building sector such as applied theory, structural design practice and construction management practice. Relevant formal fundamentals of the proposed definitions are presented, and the prospects for the development of designated areas by means of technical regulation of these areas are discussed.


Author(s):  
Sergei Sergeevich Rusakov

This article analyzes the elements of the concept of  subject traced in the philosophy of Edmund Husserl throughout all his works. The author follows the transformation of the views of German philosopher on the idea of subject. As well as their implementation in the context of phenomenological thought. Special attention is given to correlation between the works of Husserl of the early period and the later period.  It is noted that unlike the Cartesian or Kantian model of subjectivity, the egological subject for the first time conceptualizes intersubjectivity as the foundation for the development of the fundamentally new concept of understanding a human as a subject endowed with self-consciousness. The main conclusions consist in the following theses: despite the fact that the key role in the egological concept of subject belongs to the definition of evidence, intentionality, and reduction, the problem of cognition, considered in this article, is developed by Husserl as further complication of the Kantian approach; the egological concept of subject implements the concept of intersubjectivity, which demarcates the ideas of E. Husserl among other approaches towards the concept of subject. understanding the subject. On the one hand, intersubjectivity weakens the position of the idea of absolute autonomy of the subject’ while on the other hand, it is the new mechanism for legitimizing the subjective process of cognition and the truth itself, due to recognition of ego behind the figure of the Other.


Author(s):  
Alla Hrebeniuk

The purpose of the article is devoted to the purpose of the definition of characteristics and conceptsof the communication system of the legal sphere (in aspects of branch document science). The methodologyconsists of the application of methods of analysis, synthesis, comparative method, with the help of whichscientific works related to the subject of scientific research are studied. Scientific novelty. The absence ofresults, the formation of which is devoted to the article, has been established. It was found that a number ofworks, which to some extent concern our scientific interests, do not solve the purpose of the search highlightedin the publication. The spectrum of characteristic features is singled out and the concept of the communicationsystem of the legal sphere is formulated for the first time. Conclusions. The following characteristics ofthe communication system of the legal sphere were identified: functioning in the process of subjects of lawinteraction; implementation through the exchange of legal information through oral and written forms ofspeech; the prevalence of the documentary aspect due to the documentary display and dissemination of legalinformation, as well as the use of functional styles, the combination of which creates the phenomenon ofdocumentary linguistic expression of legal thought; acquisition of communicative qualities related to the fieldof jurisprudence. A definition for the communication system of the legal sphere has been formulated. It is aform of organization of legal entities that interact by exchanging legal information through scientific, officialbusiness, journalistic, epistolary functional-stylistic mechanisms and communicative qualities of correctness,clarity, accuracy, brevity, expediency, logic, purity, conciseness, in which the documentary aspect plays adecisive role.Keywords: communication system, legal sphere, a connection of document science with legal sphere,methods of legal information transfer, communicative qualities of jurisprudence language, functional andstylistic mechanisms of a communication system of the legal sphere.


2021 ◽  
Vol 28 (4) ◽  
Author(s):  
Patrick Browne ◽  
Ronan Egan ◽  
Fintan Hegarty ◽  
Padraig Ó Catháin

In a celebrated paper of 1893, Hadamard established the maximal determinant theorem, which establishes an upper bound on the determinant of a matrix with complex entries of norm at most 1. His paper concludes with the suggestion that mathematicians study the maximum value of the determinant of an $n \times n$ matrix with entries in $\{ \pm 1\}$. This is the Hadamard maximal determinant problem. This survey provides complete proofs of the major results obtained thus far. We focus equally on upper bounds for the determinant (achieved largely via the study of the Gram matrices), and constructive lower bounds (achieved largely via quadratic residues in finite fields and concepts from design theory). To provide an impression of the historical development of the subject, we have attempted to modernise many of the original proofs, while maintaining the underlying ideas. Thus some of the proofs have the flavour of determinant theory, and some appear in print in English for the first time. We survey constructions of matrices in order $n \equiv 3 \mod 4$, giving asymptotic analysis which has not previously appeared in the literature. We prove that there exists an infinite family of matrices achieving at least 0.48 of the maximal determinant bound. Previously the best known constant for a result of this type was 0.34.


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