scholarly journals Center mass theorem in three dimensional spaces with constant curvature

Author(s):  
Yu. A. Kurochkin ◽  
D. V. Shoukavy ◽  
I. P. Boyarina

In this paper, based on the definition of the center of mass given in [1, 2], its immobility is postulated in spaces with a constant curvature, and the problem of two particles with an internal interaction, described by a potential depending on the distance between points on a three-dimensional sphere, is considered. This approach, justified by the absence of a principle similar to the Galileo principle on the one hand and the property of isotropy of space on the other, allows us to consider the problem in the map system for the center of mass. It automatically ensures dependence only on the relative variables of the considered points. The Hamilton – Jacobi equation of the problem is formulated, its solutions and the equations of trajectories are found. It is shown that the reduced mass of the system depends on the relative distance. Given this circumstance, a modified system metric is written out.

2020 ◽  
Vol 23 (3) ◽  
pp. 306-311
Author(s):  
Yu. Kurochkin ◽  
Dz. Shoukavy ◽  
I. Boyarina

The immobility of the center of mass in spaces of constant curvature is postulated based on its definition obtained in [1]. The system of two particles which interact through a potential depending only on the distance between particles on a three-dimensional sphere is considered. The Hamilton-Jacobi equation is formulated and its solutions and trajectory equations are found. It was established that the reduced mass of the system depends on the relative distance.


2007 ◽  
Vol 555 ◽  
pp. 405-410 ◽  
Author(s):  
J. Jeknić ◽  
M. Dugić ◽  
D. Raković

The complex behavior of microparticles in a solution calls for different theoretical backgrounds. Here, we follow the line of two, recently developed theories on individuality, on the one hand, and conformational transitions of macromolecules in a solution, on the other. Given as separate theories, the two models may raise certain controversy in respect to their mutual consistency. Needless to say, their mutual consistency is necessary for the validity of the theories both in a general context as well as in search for a unified physico/chemical picture concerning the microparticles in a solution dynamics. We point out the consistency of these theories based on the definition of a molecule through its constituent subsystems (e.g. the center-of-mass and the “conformation” subsystems).


2021 ◽  
Vol 7 (1) ◽  
pp. 519-539
Author(s):  
Thiago Minete Cardozo ◽  
Costas Papadopoulos

Abstract Museums have been increasingly investing in their digital presence. This became more pressing during the COVID-19 pandemic since heritage institutions had, on the one hand, to temporarily close their doors to visitors while, on the other, find ways to communicate their collections to the public. Virtual tours, revamped websites, and 3D models of cultural artefacts were only a few of the means that museums devised to create alternative ways of digital engagement and counteract the physical and social distancing measures. Although 3D models and collections provide novel ways to interact, visualise, and comprehend the materiality and sensoriality of physical objects, their mediation in digital forms misses essential elements that contribute to (virtual) visitor/user experience. This article explores three-dimensional digitisations of museum artefacts, particularly problematising their aura and authenticity in comparison to their physical counterparts. Building on several studies that have problematised these two concepts, this article establishes an exploratory framework aimed at evaluating the experience of aura and authenticity in 3D digitisations. This exploration allowed us to conclude that even though some aspects of aura and authenticity are intrinsically related to the physicality and materiality of the original, 3D models can still manifest aura and authenticity, as long as a series of parameters, including multimodal contextualisation, interactivity, and affective experiences are facilitated.


2020 ◽  
Vol 7 (2) ◽  
pp. 411-430
Author(s):  
Maja Tabea Jerrentrup

Abstract The art of bodypainting that is fairly unknown to a wider public turns the body into a canvas - it is a frequently used phrase in the field of bodypainting that illustrates the challenge it faces: it uses a three-dimensional surface and has to cope with its irregularities, but also with the model’s abilities and characteristics. This paper looks at individuals who are turned into art by bodypainting. Although body painting can be very challenging for them - they have to expose their bodies and to stand still for a long time while getting transformed - models report that they enjoy both the process and the result, even if they are not confident about their own bodies. Among the reasons there are physical aspects like the sensual enjoyment, but also the feeling of being part of something artistic. This is enhanced and preserved through double staging - becoming a threedimentional work of art and then being staged for photography or film clips. This process gives the model the chance to experience their own body in a detached way. On the one hand, bodypainting closely relates to the body and on the other hand, it can help to over-come the body.


2016 ◽  
Vol 6 (4) ◽  
pp. 126-141
Author(s):  
S.S. Kulakov

The increasing number of dysfunctional families causes an increase in the number of civil litigation on the education of the child, where the relationship between the persons are highly conflictual. The actual task is study the one of components in the structure of the psychological relationship - emotional and semantic constructs underlying semantic perception of each other and the child's parents. Examination of 42 testees (parents) from harmonious families and 54 testees (parents) during the forensic psychological and psychiatric examination (regarding the definition of child`s residence or the order of meetings for the child and the parent who don`t live with it) by methods "Geometric test of relations" and "Semantic Differential" showed that in families where is highly conflictual relationship, there is positive assessments of herself and her child, while assessment of the spouse (wife) characterized inversion. This negative attitude toward the spouse (wife) is not the other parent's negative characteristics. It is the ignoring the other parent's positive characteristics. The positive acceptance of all family members was revealed in harmonious families.


2006 ◽  
Vol 34 (101) ◽  
pp. 122-139
Author(s):  
Thor Grünbaum

Action in Narratology, Literature, and LifeIn this article I argue that the representation of simple, bodily action has the function of endowing the narrative sequence with a visualizing power: It makes the narrated scenes or situations ready for visualization by the reader or listener. By virtue of this visualizing power or disposition, these narrated actions disrupt the theoretical divisions, on the one hand, between the narrated story and the narrating discourse, and on the other hand, between plot-narratology and discourse-narratology. As narrated actions they seem to belong to the domain of plot-narratology, but in so far as they serve an important visualizing function, these narrated actions have a communicative function and as such they can be said to belong to the domain of discourse-narratology. In a first part of the article, I argue that a certain type of plot-narratology, due to its retrospective epistemology and abstract definition of action, is unable to conceive of this visualizing function. In a second part, I argue that discourse-narratology fares no better since the visualizing function is independent of voice and focalization. In a final part, I sketch a possible account of the visualizing function of simple actions in narratives.


1994 ◽  
Vol 87 (4) ◽  
pp. 461-472 ◽  
Author(s):  
Hannah Kasher

In his introductory essay on the philosophical sources of The Guide of the Perplexed, Shlomo Pines points out a well-known contradiction between two conceptions of God in Maimonides' theology. On the one hand, Maimonides borrowed the Aristotelian definition of God as the intellect that cognizes itself; on the other, in line with Avicenna's Neoplatonic theory of attributes, Maimonides denied the possibility of saying anything positive about God. Pines proposes two possible solutions; first, that Maimonides was well aware of the contradiction, or, second, that he fell into the contradiction inadvertently. As Pines himself admits, however, neither solution is satisfactory.


2021 ◽  
pp. 264-269
Author(s):  
P. A. Moiseev

The review deals with Luc Boltanski's Mysteries and Conspiracies [Enigmes et complots]. The following is noted as defects of the reviewed book: detective fiction is associated with anxieties that question the framework of modern reality. Such attribution, it is argued, results from inaccurate comparison of detective fiction to a spy novel. The reviewer identifies contradictions in the definition of detective fiction: on the one hand, it is characterised by the proverbial anxiety. On the other, the writer suggests that unravelling a mystery normalises the ‘integrity of predictable expectations.' In addition, Boltanski confuses detective fiction with police procedural novels as well as the concepts of genre and theme with regard to spy novels (as a result, he dwells on ‘the genre of the spy novel,' even though spy novels are written in a number of genres). The review particularly criticises Boltanski's assessment of A. Conan Doyle's prose.


2021 ◽  
pp. 104-116
Author(s):  
Ivan O. Volkov ◽  

For the first time, in the article, Vladimir Titov’s letter (dated 12/24 February 1869) is published and commented. In the 1820s, in Russia, Titov was well-known as a writer and literature theorist, the author of a romantic novella The Remote House on Vasilyevsky Island (1829) close to Society of Lyubomudriye. The letter extracted from the archives of the National Library of Russia is addressed to Duke Vladimir Odoevsky whose relationship with Titov was friendly from the very beginning of their acquaintance. The letter focuses on Ivan Turgenev’s speech published in the first issue of Sovremennik and titled “Hamlet and Don Quixote”. Reacting to Turgenev’s article, Titov shortly and critically accesses the comparison concentrating mainly on the image of Hamlet and thoroughly expresses his opinion on the essence of his tragic state. Titov’s opinion is just the opposite of Turgenev’s complex and multidimensional interpretation. Having experienced the great impact of the philosophy of German idealism at the beginning of his career, Titov to a great extent idealizes Shakespeare’s character whom he long knows and whom he is clearly eager to vindicate. Meanwhile, Titov does not pursue the aim to absolutely advocate the romantic halo of Hamlet as a Titanic personality (grandiose intellect and scale of feeling) and to enact the tragic pathos of the inner fight only. Developing Goethe’s definition of the essence of the character’s inner conflict, Titov, on the one hand, approaches its real understanding underlying the prince’s necessity to stay in a derogatory position of a “pitiful semiclown, indecisive grouch and shred”. On the other hand, the assessment can not be absolutely objective because Titov wants to see Hamlet as a victim of the fatal fortune which turns him into a character of an almost classical tragedy of fate. Titov’s bright and developed reaction (in the document of private nature) to Turgenev’s article is attractive and important first of all for its vividly demonstrated novelty and creativity of the writer’s view, wideness and multimodality of the author’s perception of Hamlet’s image. For the first time, Turgenev gave a developed interpretation of Shakespeare’s image in the tale “Hamlet of Shchigrovsky Province” (1848). Continuing his searches in the area of “Russian” (or “steppe”) Hamlet, Turgenev creates moral and philosophical problems of the English tragedy in the crisis socio-historical and cultural atmosphere of Russia of the 1840s. However, the principles of the artistic generalization and the peculiarities of the new reading, not mentioned and not fully comprehended by his contemporaries, were surprising and rejected when the speech “Hamlet and Don Quixote” appeared, in which Shakespeare’s character is presented ultimately vividly and lively in the then current interpretation.


2020 ◽  
Author(s):  
Ursula Renz

Spinoza's ethics is grounded by a conviction which is as simple as it is programmatic: Subjective experience can be explained, and its successful explanation is of ethical relevance. For it makes us smarter, freer and happier. This is the programmatic conviction behind Spinoza's ethics and motivates many of the theses it puts forward. Ursula Renz shows which kind of a theory of the human mind informs this program. The systematic differentiation of theory parts in the architecture of ethics proves to be a decisive move: A theory part that deals with questions of the ontology of the mental is followed by a definition of the human mind as a kind of subject theory, which in turn is separated from a theory part dealing with the constitution of content. This structure makes it possible to deal separately with different problems that arise in the course of the explanation of experience. In the end, Spinoza succeeds in avoiding both reductionisms and skepticisms right from the start. In this way, two intuitions are brought together that are often considered incompatible: on the one hand, the view that experience is something irreducibly subjective, and on the other hand, the assumption that there are better and worse explanations of experience.


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