On the Optical Writings of Sir William Rowan Hamilton

1932 ◽  
Vol 16 (219) ◽  
pp. 179-191
Author(s):  
G. C. Steward

The study of Geometrical Optics has not attracted much interest or attention for some years now. at all events until recently, save only among a quite small company of specialists, and, as but one particular result of this, the divorce between optical theory and optical practice has been lamentable, as, for example, in that problem of so great practical importance, the design of the symmetrical optical system. For the one part, the subject has been regarded as isolated and of little theoretical interest, and scarcely susceptible of wide and profound generalisations, then, too, and this more especially from the point of view of university teaching, geometrical optics has seemed to stand apart from the path to a general mathematical education and training, and, in consequence, in several universities the study of it has been almost abandoned, save only in its most elementary aspects.

2020 ◽  
Vol 22 (11) ◽  
pp. 11-15
Author(s):  
Gan N.Yu. ◽  
Ponomareva L.I. ◽  
Obukhova K.A.

Today, worldview, spiritual and moral problems that have always been reflected in education and upbringing come to the fore in society. In this situation, there is a demand for philosophical categories. One of the priority goals of education in modern conditions is the formation of a reasonable, reflexive person who is able to analyze their actions and the actions of other people. Modern science is characterized by an understanding of the absolute value and significance of childhood in the development of the individual, which implies the need for its multilateral study. In the conditions of democratization of all spheres of life, the child ceases to be a passive object of education and training, and becomes an active carrier of their own meanings of being and the subject of world creation. One of the realities of childhood is philosophizing, so it is extremely timely to address the identification of its place and role in the world of childhood. Children's philosophizing is extremely poorly studied, although the need for its analysis is becoming more obvious. Children's philosophizing is one of the forms of philosophical reflection, which has its own qualitative specificity, on the one hand, and commonality with all other forms of philosophizing, on the other. The social relevance of the proposed research lies in the fact that children's philosophizing can be considered as an intellectual indicator of a child's socialization, since the process of reflection involves the adoption and development of culture. Modern society, in contrast to the traditional one, is ready to "accept" a philosophizing child, which means that it is necessary to determine the main characteristics and conditions of children's philosophizing.


The theory of the vibrations of the pianoforte string put forward by Kaufmann in a well-known paper has figured prominently in recent discussions on the acoustics of this instrument. It proceeds on lines radically different from those adopted by Helmholtz in his classical treatment of the subject. While recognising that the elasticity of the pianoforte hammer is not a negligible factor, Kaufmann set out to simplify the mathematical analysis by ignoring its effect altogether, and treating the hammer as a particle possessing only inertia without spring. The motion of the string following the impact of the hammer is found from the initial conditions and from the functional solutions of the equation of wave-propagation on the string. On this basis he gave a rigorous treatment of two cases: (1) a particle impinging on a stretched string of infinite length, and (2) a particle impinging on the centre of a finite string, neither of which cases is of much interest from an acoustical point of view. The case of practical importance treated by him is that in which a particle impinges on the string near one end. For this case, he gave only an approximate theory from which the duration of contact, the motion of the point struck, and the form of the vibration-curves for various points of the string could be found. There can be no doubt of the importance of Kaufmann’s work, and it naturally becomes necessary to extend and revise his theory in various directions. In several respects, the theory awaits fuller development, especially as regards the harmonic analysis of the modes of vibration set up by impact, and the detailed discussion of the influence of the elasticity of the hammer and of varying velocities of impact. Apart from these points, the question arises whether the approximate method used by Kaufmann is sufficiently accurate for practical purposes, and whether it may be regarded as applicable when, as in the pianoforte, the point struck is distant one-eighth or one-ninth of the length of the string from one end. Kaufmann’s treatment is practically based on the assumption that the part of the string between the end and the point struck remains straight as long as the hammer and string remain in contact. Primâ facie , it is clear that this assumption would introduce error when the part of the string under reference is an appreciable fraction of the whole. For the effect of the impact would obviously be to excite the vibrations of this portion of the string, which continue so long as the hammer is in contact, and would also influence the mode of vibration of the string as a whole when the hammer loses contact. A mathematical theory which is not subject to this error, and which is applicable for any position of the striking point, thus seems called for.


1928 ◽  
Vol 55 (3) ◽  
pp. 665-735 ◽  
Author(s):  
Dorothy J. Jackson

It is well known that in many orders of typically winged insects species occur which in the adult stage are apterous or have the wings so reduced in size that flight is impossible. Sometimes the reduction of wings affects one sex only, as in the case of the females of certain moths, but in the majority of cases it is exhibited by both sexes. In many instances wing dimorphism occurs irrespective of sex, one form of the species having fully developed wings and the other greatly reduced wings. In some species the wings are polymorphic. The problem of the origin of reduced wings and of other functionless organs is one of great interest from the evolutionary point of view. Various theories have been advanced in explanation, but in the majority of cases the various aspects of the subject are too little known to warrant discussion. More experimental work is required to show how far environmental conditions on the one hand, and hereditary factors on the other, are responsible for this phenomenon. Those species which exhibit alary dimorphism afford material for the study of the inheritance of the two types of wings, but only in a few cases has this method of research been utilized.


2008 ◽  
Vol 37 (2) ◽  
Author(s):  
Iris Yaron

AbstractModern poetry developed and transformed difficulty into a prominent aesthetic norm of poetry. The abundance of difficult poetic texts necessitates a study of the corpus. After differentiating between the way difficulty is perceived in poetry and in other communicative acts, I present the approach that I have adopted for the purpose of studying difficult poetry. In contrast to other studies which have examined difficulty from the author's perspective and, as a consequence, described factors that cause textual difficulty, I propose to examine the subject from the reader's point of view. The reader, after all, is the one who feels or does not feel the difficulty. The concept ‘difficult poem’ is necessarily interdisciplinary and the question of what is “difficult” involves cognitive psychology and its models of text comprehension. Following a discussion of these domains, I present the “definition” that I propose for the ‘difficult poem’.


2009 ◽  
Vol 16 (5) ◽  
pp. 529-542 ◽  
Author(s):  
Nuno Maia

This paper presents a reflection on a recently proposed solution to the problem of the free vibration response with the constant hysteretic damping model, that has been presented in some conferences in recent years, by the author himself and some of his colleagues. On the one hand, as expected, the subject has been received with natural criticism, mainly due to the well-known non-causal behaviour of the model in free vibration. On the other hand, it was not easy to understand what could be wrong in that proposal, as apparently everything was perfect from a mathematical point of view. The author decided that this subject deserved a more careful and detailed analysis and – in this kind of tutorial paper – the issue seems to have been clarified. It is concluded that the proposed solution involving the constant hysteretic damping corresponds in fact to an equivalent viscously damped model; it is therefore concluded that the application of the constant hysteretic damping to model the free vibration of practical engineering problems should be considered only in the perspective of an equivalent viscously damped model.


Author(s):  
Anna A. Toropova ◽  

Family issues and the topic of social family policy in Greece is the subject of researches by a number of Greek sociologists (V. Filias (Β. Φίλιας), G.-S. Prevelakis (Γ.-Σ. Πρεβελάκης), H. Simeonidou (Χ. Συμεωνίδου), G. Georgas (Γ. Γεωργάς), L. Musuru (Λ. Μουσούρου), L. Maratu-Aliprandi (Λ. Μαράτου-Αλιπράντη). It seems interesting and useful to consider the situation in Greece from the point of view of its ambivalent nature: traditional values and patriarchal order, on the one hand, and adherence to liberal European sentiments, on the other. In the modern world, there is a "reformatting of ideas about the essence of family and marriage" [Noskova A. V., 2017: 123], which leads, in particular, to the rejection of having children, to increasingly frequent divorces "for no reason", to irresponsibility in awareness roles in the family, to the vulnerability of socialization, to the infantilism of adults, to avoidance of awareness of problems of various kinds, to egocentrism. Modern Greece is not an exception. The growing number of single-parent families in cities, low birth rates, divorces, loneliness, depression are characteristic features of many families. This allows us to speak about the “crisis of the Greek family” [Γεωργάς, 2010]. This research may be of interest to specialists dealing with the topic of the family, and significantly supplement the existing research in the domestic sociological field.


1981 ◽  
Vol 11 (1) ◽  
pp. 44-46 ◽  
Author(s):  
D.P. Fourie

It is increasingly realized that hypnosis may be seen from an interpersonal point of view, meaning that it forms part of the relationship between the hypnotist and the subject. From this premise it follows that what goes on in the relationship prior to hypnosis probably has an influence on the hypnosis. Certain of these prior occurences can then be seen as waking suggestionns (however implicitly given) that the subject should behave in a certain way with regard to the subsequent hypnosis. A study was conducted to test the hypothesis that waking suggestions regarding post-hypnotic amnesia are effective. Eighteen female subjects were randomly divided into two groups. The groups listened to a tape-recorded talk on hypnosis in which for the one group amnesia for the subsequent hypnotic experience and for the other group no such amnesia was suggested. Thereafter the Stanford Hypnotic Susceptibility Scale was administered to all subjects. Only the interrogation part of the amnesia item of the scale was administered. The subjects to whom post-hypnotic amnesia was suggested tended to score lower on the amnesia item than the other subjects, as was expected, but the difference between the mean amnesia scores of the two groups was not significant.


The authors have recently made a series of observations on some cases of inter-crystalline fracture in various metals, occurring as the result of the prolonged application of stress. In explanation of these phenomena they have formulated an hypothesis which appears to afford a satisfactory account of the present observations and to correlate them with other well-known phenomena whose exact nature has, however, hitherto remained obscure. In putting their observations and hypothesis on record at the present stage, the authors are well aware that much fuller experimental investigation of the whole subject is required, and they hope to carry this forward. The evidence now available, however, appears to them to justify preliminary publication, especially in view of the fundamental interest and great practical importance of the subject. The present paper relates to a group of phenomena some of which have long been known, in the case of brass, as “season cracking.” Brass articles which have been manufactured by a process of alternate cold-working and annealing—such, for instance, as cartridge-cases and other articles made by operations of cupping and drawing—sometimes exhibit a tendency, after a period which may vary from a few hours to several years, to undergo spontaneous cracking. The occurrence of this type of failure of brass has been a serious manufacturing difficulty and much study has been given to the subject; as a result, modifications of both the annealing and the drawing processes have been made, which, to a considerable extent, eliminate the trouble. A satisfactory explanation of “season cracking” has not, however, been put forward so far as the authors are aware. From the present point of view, perhaps the most interesting fact which has been observed about "season cracking” in brass is that the fracture—in those cases where its path can be traced clearly among the micro-constituents of the metal—markedly follows the inter-crystalline boundaries. An example of such a crack is illustrated, under a magnification of 100 diameters, in fig. 1, where the inter-crystalline character of the fracture can be clearly traced (Plate 1).


Author(s):  
Ayhan Ozer

Teaching of the arts which include universal values and rules in essence ,in spite of containing local signs, should be formed by universal criteria’s and the richness, and contain diversity as well.  Intercultural interaction is an opportunity that may offer important advantages to this diversity. To be the subject of education and training of the arts, which is almost in the same age with humanity, in Turkey coincides with relatively near future. Turkish art education institutions, trying to fit the process of understanding hundreds of years of tradition and rules into a few decades, tried to speed up this process by going especially western countries or bringing artists from there. While the number does not exceed fingers of two hands especially in the last ten-fifteen years, now the expression of these numbers with three-digit numbers made the need for qualified instructors preferred. On the one hand this case contains various handicaps, but on the other hand, it can be considered as an opportunity. These study opportunities were designed to detect the sample.Keywords: art, intercultural interaction, Azerbaijani painters.


Author(s):  
Dr.Hamid Suleiman Khalaf Kadhim

In human languages proverbs constitute a very important aspect of language use. Thus, they have been a subject of varying attention from different specialists: linguists and language users in general. Shakespeare is described as the most adroit user of proverbs in literature; therefore, his plays have been the subject of numerous scientific investigations, whereby from a linguistic point of view the focus has primarily been aimed at vocabulary and grammar. On the one hand, attention has been paid regularly to lexical items because Shakespeare is supposed to have been a great innovator of words due to his coinage of new lexemes and his usage of several unknown expressions. Linguistic studies have also been concerned with grammatical constructions which are typical of the English at Shakespeare’s time. Many writers employ proverbs in their works but Shakespeare is different in the way he employs proverbs which are used to serve different functions and to achieve different illocutionary acts. These proverbs are embedded in the flow of conversations and they may flout one or more than one of Grice‘s maxims. The present study aims at analyzing proverbs and explaining how far Grice’s cooperative principles (maxims) are abided by in Shakespeare’s proverbs as specified in the data. Proverbs are sometimes said to mean something else in addition to what is explicitly stated. Words may mean something beyond those intended by the speaker or the writer. These extra meanings might achieve or refer to different illocutionary acts. The study explores whether or not these illocutionary acts share certain structural features. In order to achieve the aims of the research, the following hypotheses have been proposed: Grice’s cooperative principle is frequently flouted in Shakespeare’s proverbs. The maxim of Quality seems to be flouted more than the other maxims. This maxim is mainly flouted by the use of metaphor. Shakespeare’s proverbs are also characterized by the use of the speech


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