scholarly journals The Two Supreme Principles of Plato’s Cosmos—the One and the Indefinite Dyad—the Division of a Straight Line into Extreme and Mean Ratio, and Pingala’s Mātrāmeru

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 98
Author(s):  
Maria Salamone

The objective of this paper is to propose a mathematical interpretation of the continuous geometric proportion (Timaeus, 32a) with which Plato accomplishes the goal to unify, harmonically and symmetrically, the Two Opposite Elements of Timaeus Cosmos—Fire and Earth—through the Mean Ratio. As we know, from the algebraic point of view, it is possible to compose a continuous geometric proportion just starting from two different quantities a (Fire) and b (Earth); their sum would be the third term, so that we would obtain the continuous geometric proportion par excellence, which carries out the agreement of opposites most perfectly: (a + b)/a = a/b. This equal proportion, applied to linear geometry, corresponds to what Euclid called the Division into Extreme and Mean Ratio (DEMR) or The Golden Proportion. In fact, according to my mathematical interpretation, in the Timaeus 32b and in the Epinomis 991 a–b, Plato uses Pingala’s Mātrāmeru or The First Analogy of the Double to mould the body of the Cosmos as a whole, to the point of identifying the two supreme principles of the Cosmos—the One (1) and the Indefinite Dyad (Φ and1/Φ)—with the DEMR. In effect, Fire and Earth are joined not by a single Mean Ratio but by two (namely, Air and Water). Moreover, using the Platonic approach to analyse the geometric properties of the shape of the Cosmos as a whole, I think that Timaeus constructed the 12 pentagonal faces of Dodecahedron by means of elementary Golden Triangles (a/b = Φ) and the Mātrāmeru sequence. And, this would prove that my mathematical interpretation of the platonic texts is at least plausible.

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.


1993 ◽  
Vol 08 (06) ◽  
pp. 557-572 ◽  
Author(s):  
D.V. BOULATOV

A matrix model describing surfaces embedded in a Bethe lattice is considered. From the mean field point of view, it is equivalent to the Kazakov-Migdal induced gauge theory and therefore, at N=∞ and d>1, the latter can be interpreted as a matrix model for infinite-tension strings. We show that, in the naive continuum limit, it is governed by the one-matrix model saddle point with an upside-down potential. To derive mean field equations, we consider the one-matrix model in external field. As a simple application, its explicit solution in the case of the inverted W potential is given.


2012 ◽  
Vol 8 (3) ◽  
pp. 64-87
Author(s):  
Anabela Pereira

The aim of this article is to demonstrate how body-representations offer an opportunity for its visual interpretation from a biographical point of view, enhancing, on the one hand, the image’s own narrative dynamics, and, on the other, the role of the body as a place of incorporation of experiences, as well as, a vehicle mediating the individual interaction with the world. Perspective founded in the works of the artists Helena Almeida and Jorge Molder, who use self-representation as an expression of these incorporated (lived) experiences, constitutes an important discursive construction and structuring of their narrative identity through visual creation, the artists enable the other with moments of sharing knowledge, creativity and subjectivity, contributing also to the construction of the contemporary, cultural and social imagery.


2021 ◽  
Vol 8 (1) ◽  
pp. 094-100
Author(s):  
Henny Sulistyawati

Massage is one of the alternative spa beauty postpartum mothers who can maintain the balance of the body to always be healthy and fit. The purpose of this researcher, To describe the process of massage techniques in the body massage of the mother postpartum for the beauty and health of the body and Know how much the client responds to the application.  This type of research is a pseudo-experiment to find out and describe the maternal SPA massage process, using the One-shot case study.  The results of the Mean Massage Technique in postpartum SPA based on 4 aspects that have been observed are 1). The accuracy aspect of preparing 4.00 criteria is very good, 2). Aspects of massage movement technique 3.00 good criteria, 3). Aspects of Punctuality in massage procedure 3.50 criteria are very good, 4 aspects of cleanliness and neatness area 4.00 is very good.  The results of The Massage Technique Process at postpartum SPA for Beauty and Body Health Treatment based on 5 aspects observed, namely: 1). The aspect of stating strongly the amount of pressure given according to posture in the client is 60% category is quite good, 2). Aspect Stipulates comfort level that is felt 100% good category, 3). Aspect stipulates the level of cleanliness on the skin 80% good category, 4). Aspect Stipulates the effect of the results of this massage technique can reduce pain and a soreness 100% good category, 5). Aspect stipulates relaxation effect 100% good category. The response of Massage Technique Respondents at Postpartum SPA for beauty and body health treatments based on 4 aspects observed, 1). The aspect that expresses satisfaction after performing maternal SPA treatment postpartum is 100% good category, 2). Aspects that state the benefits of maternal spa massage techniques for beauty and body health are 100% good category, 3). The aspect that expressed interest in doing advanced SPA treatment postnatal is 75% good category, 4). Recommending in others especially mothers postpartum about maternal SPA treatment postpartum is 100% good category.


1932 ◽  
Vol 15 (4) ◽  
pp. 437-462 ◽  
Author(s):  
W. J. Crozier ◽  
G. Pincus

Races of Rattus norvegicus labelled A and B give characteristic curves relating angle of orientation θ during geotropic progression to the inclination (α) of the surface. The orientation-angles for B are higher at every slope, and the threshold slope for orientation is lower in B. When these races are cross-bred, the F1 progeny show a θ-α curve in general corresponding to that for the B parent, as regards both threshold slope and magnitudes of θ. Differences between the curve for F1 and B have to do (1) with a slight but significant distortion of the curve, such that from α = 15° to about (α = 35° the mean curve is slightly above that for B, whereas above this slope of surface, θ is consistently below that for B, and (2) below α = 35° the horizontal latitude of variation in the curve θ vs. log sin α is much greater than above α = 35°. The first distortion is interpreted as due to the fact that, as a manifestation of heterosis, developmental processes which upon the one hand lead to growth in bulk in the posterior region of the body, and on the other which would lead to a proportionate development of tension receptors in the legs, fail to keep pace harmoniously. In ordinary development of individuals in a pure line, harmonious relationships between these two aspects of growth are maintained. The variation of response (θ) is not altered in F1, if attention is paid to the total observed variation; but the unmodifiable or uncontrollable portion of the total variation of θ, not affected as a function of sin α, is increased. This fact is more pronounced in female offspring from the matings A ♂ x B ♀. This effect in F1 is interpreted as due to the introduction of modifying genetic influences, which affect variation of orientation. The percentage of modifiable variation is reduced from 74 per cent (mean) in B to about 59 per cent in F1. These interpretations are checked by the behavior of offspring produced in the backcross F1 x B. The disharmony of developmental processes thought to be signalized by the distortion of the form of the θ-α curve disappears completely in these backcross individuals. It can be computed that an equivalent distortion of the θ-α curve for B would be produced by the posterior attachment of a mass of about 0.5 gm., unaccompanied by its proportion of receptors in the legs; in backcrossing to the B line, this should be reduced in the average to about "0.25 gm.," which is at about the threshold for any detectable effect of a mass added posteriorly. The variability of θ in (F1 x B) is not different from that for B, or for F1 (total variation); but, as must be expected if the unmodified variation has been increased in F1 by the action of modifying genetic influences not directly connected with the genes determining the numbers of tension-receptors, we find that in (F1 x B) the percentage of modifiable variation is returned half-way (65 per cent) toward that for the B line. The bearing of certain considerations derived from the treatment of this case is discussed with reference to the desirability that other phenomena of "hybrid vigor" and heterosis be similarly analyzed.


2015 ◽  
Vol 2 (1) ◽  
Author(s):  
Alessandro De Rosis

AbstractThe dynamic response of a deformable curved solid body is investigated as it interacts with a flow field. The fluid is assumed to be viscous and the flow is nearly incompressible. Fluid dynamics is predicted through a lattice Boltzmann solver. Corotational beam finite elements undergoing large displacements are adopted to idealize the submerged body, whose presence in the lattice fluid background is handled by the immersed boundary method. The attention focuses on the solid’s deformation and a numerical campaign is carried out. Findings are reported in terms of deformation energy and deformed configuration. On the one hand, it is shown that the solution of the problem is strictly dependent on the elastic properties of the body. On the other hand, the encompassing flow physics plays a crucial role on the resultant solid dynamics. With respect to the existing literature, the present problem is attacked by a new point of view. Specifically, the author proposes that the problem is governed by four dimensionless parameters: the Reynolds number, the normalized elastic modulus, the density and aspect ratii. The formulation and the solution strategy for curved solid bodies herein adopted are introduced for the first time in this paper.


Author(s):  
Sayyadul Arafin

A simple method  for determining the depth and radius of some simple geological bodies such as a sphere and a horizontal cylinder  is presented. The method utilizes all of the data points to calculate the  body parameters.  The depth is estimated  from the mean of the depths determined from various fractions of the maximum anomaly and their corresponding widths. The radii of the two bodies are  calculated from the areas under the respective gravity profiles. Additionally , the radial symmetry of the gravity anomaly due to a sphere has been utilized to calculate the excess mass from a single profile. The radius determined from the excess mass is independent of depth estimate. This method of determining the radius is more robust than the one based on calculating the area.  An error analysis showing the effects of truncation and zero-level errors on the estimated radius  is  also discussed.  


2013 ◽  
pp. 1-8
Author(s):  
Birutė Kabašinskaitė ◽  
Gert Klingenschmitt

There is no doubt that Lith. spalvà (4) ‘colour’, Latv. spalva ‘feather, plumage; hair of quadrupeds, fur; bristle; colour of fur, colour of bristles’ and their cognate Latv. spilva ‘cotton grass, seed wool (e. g of cotton grass); [pl.] down’ is derived from the IE. root *(s)pelh- ‘to split, separate, sever’. Alternative suggestions, e. g. a connexion with IE. pel- ‘to cover’, which at first sight might seem more attractive from a semantic point of view, are doomed to fail because the underlying root must have ended in a laryngeal. This is indicated by the intonation of Latv. spal-va. There are several cases where accent class 4 of Lithuanian disyllabic ā-stems matches Latvian level or broken tone. It can be demonstrated that in these cases Latvian is more conservative than Lithuanian (e. g. Lith. kalvà [4] and Latv. kalva < *kolh-ṷah₂-). Already in the IE. parent language the root (s)pelh- must have developed the special meanings: 1. ‘to separate the useless from the usable parts’; 2. ‘to remove the skin from the body of an animal’, cf. on the one hand OLith. pẽlūs pl. ‘chaff’< *pelh-u-, OInd. palāva- pl. ‘chaff’ < *pelh-oṷ- (acc. sg. *pelh-oṷ-ṃ< *pélh-oṷ-ṃ), Pruss. pelwo ‘chaff’, Sl. *'pélva ‘chaff’ < *pélh-ṷah₂-; Lith. spãlis (2) ‘shive’ < *spolh-iḭo-; on the other hand Lat. spolium ‘the skin removed from the body of an animal’ < *spolh-iḭo n. The latter meaning first resulted in ‘(generally) skin’, whence ‘parts covering the skin’, ‘hair, bristle, feathers’ and finnaly also ‘colour of the bristles of animals’. The same holds true of Latv. spilva. It seems possible that in the case of Lithuanian the last stage of the semantic development, the transition to the abstract meaning ‘colour’ is artificial.


Author(s):  
Ganna Stovba

The paper presents the research of poetics of the fourth novel «Stump» (2004) written by contemporary Welsh Anglophone author Niall Griffiths. The early works of Niall Griffiths have long been associated with the off-center tendency in contemporary British fiction, with novels written by Scottish authors such as Irvine Welsh, James Kelman, John King. This study attempts to demonstrate that Welsh writer doesn’t merely articulate the problems of the fringe groups of the society as well as shocking and taboo topics. Also to overcome the common postcolonial approach to Griffiths`s works which focuses on the concepts of «colonial othering», «forms of disability» etc. in the novels, the author of the article proposes the existential philosophy as methodological basis for this research. The study concentrates over the central problem of the human Being-in-the-world, the human life in the world of everydayness in Griffiths`s novel «Stump». Understanding «the everyday life», «everydayness» as common, routine life, full of daily automatic human actions (according to B. Waldenfels) the author aims to consider the boundaries of everyday life and the experience of overcoming the borders of everydayness in the novel discussed.The analysis demonstrates that narrative structure of the novel combines several modes and forms of narration. Interior monologue with steam of consciousness fragments is the form of representing the first plot line focusing on the one day of nameless recovering alcoholic who has lost his left arm to gangrene. «Style indirect libre» in first person plural form is used to finish each of the chapter devoted to one-armed hero and expresses his contradictory point of view on the «12 steps addiction recovery» program. The non-diegetic impersonal narrator (according to V. Shmid classification) introduces the second plot line devoted to the two gangsters who have set out from Liverpool on a mission to find and punish the one-armed man for a past misdeed. Their continual dialog sometimes is interrupted by the omnipresent narrator voice who conveys in form of indirect speech one of the gangster`s thoughts and his perceptive and ideological «point of view». A Griffiths`s fictional space can be divided on close/open, secular/sacral, everyday/non-everyday types. In the novel Wales natural world is opposed to any closed and narrow spaces. One-armed protagonist fills himself free and happy in the open space, where he communicates with birds, animals and meets a pantheistic God. Oppositely, two gangsters are afraid of open space in the middle of dangerous nature of Wales, when they leave native Liverpool. Having the works of K. Jaspers and M. Merleau-Ponty as the basis for our research, we conclude that the body for one-armed hero is an existential and temporal border, which transforms each moment of his life into an endless «boundary situation» (germ. Grenzsituation, according to K. Jaspers). A journey to unknown Wales gives a start to personal transformations for one of the gangsters – Alastair. Crossing the geographical border becomes a time of «boundarysituation» in Alastair`s existence. Consequently, the motives of the real Being, existential self-identity, meeting with the transcendent are concerned with the experience of overcoming the everydayness, crossing its boundaries.


2021 ◽  
Vol 20 (5) ◽  
pp. 12-18
Author(s):  
A. Bergna ◽  
L. Panigada ◽  
F. Benussi ◽  
F. Buffone ◽  
C. Caruana ◽  
...  

Lymphedema is a condition occurring when the lymphatic system fails to efficiently transport the lymph, thus creating a fluid accumulation in the interstitial space. As of today, the rehabilitation treatment for lymphedema relies on the principles of Complete Decongestive Therapy (CDT), a series of treatments designed to favor the reabsorption of the lymph by the lymphatic system and to restore the functionality of the affected limb. From an osteopathic point of view, interesting results have been obtained through Lymphatic Pump Technique (LPT), a series of oscillatory techniques applied to different areas of the body such as chest, abdomen and feet. A few LPT studies on animals have shown a significant improvement not only in the lymphatic system efficiency (an increase of 271% in lymph flow) but also in the immune system. Aim. From the scientific evidence derived from such studies, in this paper we propose a clinical trial aiming to demonstrate the benefits that this technique can bring to human beings in a specific rehabilitation process following a lower limb lymphoedema. Material and methods. An indirect volumetric measurement of lymphedematous limbs according to the segmental technique was performed on six subjects having a history of CDT treatments with different clinical histories, age, gender, work and sport characteristics.The results of the study group treated with the LPT were compared to the results of the same subjects who previously underwent CDT treatment only. The LPT was applied in 8 sessions for two weeks, i.e. for the period of time scheduled for normal physiotherapy rehabilitation including CDT. Results. The average volume before CDT was 9470.6 ml while after treatment was 8429 ml. The mean volume before CDT associated with LPT was 9608.5 ml, whereas after treatment the mean was 8267 ml with a significant reduction in lymphoedema. Conclusions. Despite the small number of cases examined, the treatment described in this project has led to positive and statistically significant results, in terms of absorption of lymphedema, especially reducing the volume of the limb. LPT is safe as it is a non-invasive technique, performed with the application of light forces, and integrates perfectly with the CDT.


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