scholarly journals A Note on the Construction of a Set of Fundamental Circuits on a Surface of Genus p

1961 ◽  
Vol 4 (1) ◽  
pp. 13-21
Author(s):  
R. G. de Buda

On an orientable surface of genus p, a set of 2p fundamental circuits can be selected which all pass through a single point A. After cutting along the 2p circuits, the surface can be unfolded into a flat region bounded by a 4p-gon so that: the set of vertices corresponds to the one point A; and the 2p pairs of edges to the 2p fundamental circuits; and the interior of the polygon to the remainder of the surface. If the edges of the polygon are directed, the 2 edges which correspond to one fundamental circuit will be directed in opposite sense, since the surface is orientable [1]. The sequence and direction of the edges is the same as the sequence of the fundamental circuits.

2012 ◽  
Vol 30 (1) ◽  
pp. 27-31 ◽  
Author(s):  
Hidetoshi Mori ◽  
Tim Hideaki Tanaka ◽  
Hiroshi Kuge ◽  
Ken Sasaki

Objective To determine whether any difference exists in responses to indirect moxibustion relative to thermal stimulation sites. Methods Twenty one healthy men of mean±SD age 22.5±6.1 years were randomly divided into two groups, one receiving a single moxibustion stimulation in three locations (the three-point stimulation group, n=10 participants) and the other receiving three stimulations in one location (the one-point stimulation group, n=11 participants). The thermal stimulation sites were GV14, GV9 and GV4 acupuncture points. A thermograph was used to obtain the skin temperature on the posterior trunks of the participants. To analyse skin temperature, four arbitrary frames (the scapular, interscapular, lumbar and vertebral regions) were made on the posterior trunk. Result An increase in skin temperature on the posterior trunk was observed following both one- and three-point moxibustion administrations. The skin temperature of the lumbar region showed a significant increase after three-point stimulation compared with single-point stimulation (p=0.011). There was also a significant increase in skin temperature of the spinal region after three-point stimulation compared with one-point stimulation (p=0.046). Conclusion Administration of single moxibustion doses on the GV14, GV9 and GV4 points produces greater changes in skin temperature than three applications of moxibustion to the GV14 point only.


2021 ◽  
Vol 12 (8) ◽  
pp. 2161-2179
Author(s):  
Daiane Maria de Genaro Chiroli ◽  
Raíza Conde Coradazi ◽  
Fabio Jose Ceron Branco ◽  
Yslene Rocha Kachba ◽  
Franciely Velozo Aragão ◽  
...  

Healthcare logistics play an important role in management, being attributed the activities of acquisition, distribution and movement of materials, professionals and patients. This work aims to develop a study, using the healthcare logistics in the movement of patients in the third health region of Paraná, proposing a linear programming problem that will pass through a computational simulation, considering the existing demands and constraints in the system, aiming to optimize the flow of patients from this region. The present study developed four mathematical models, based on demands and constraints followed by linear programming in order to find the best possible solution for the flow of patients from the third health region of the state of Paraná. The study developed reached its goal of optimization, generating an economy in the transportation of patients. Through the analysis of the results, it is concluded that the model that best suits the presented problem is the one of costs minimization, since the one of vehicles presented higher costs. Possibly the model that minimizes the vehicles would bring better results if the vehicles were not outsourced, but of the Ponta Grossa City Hall (PMPG). Was possible to verify the importance of the theme, especially when referring to the flow of patients in the health services due to the lack of studies with this specific approach. Even with the scarcity of data, it is possible to notice the potential for improvements on this patient transport system.


Author(s):  
Maria Chikarkova ◽  

Although graffiti is a well-known phenomenon of street art, there is still no single point of view on this phenomenon (even if it is considered art at all). Both the essence and the manifestations of graffiti remain a matter of debate - there are dozens of different classifications, that they are based on different characteristics. However, the phenomenon has rarely attracted attention from the point of view of semiotics, though it is the semiotic reading of graffiti that makes it possible to understand its nature more deeply. Due to semiotics we could create an integrative classification, which would combine stylistics and subject matter into one system. The article made exactly such an attempt –providing of the semiotic classification of graffiti, based on Ch. Peirce’s classification of semiotic signs. Graffiti is a sign, because it has a material shell of the latter, a marked object and rules of interpretation. It functions within the subculture and signifies the individual's desire to escape from the deterministic nature of urban life (J. Baudrillard). It is a culture of the semiosphere, which continuously gives rise to new connotations and, accordingly, generates new receptions. An important component of graffiti interpretation is the cultural code; it is not read outside the field of conventionality, cultural context. Decoding of graffiti can occur in three ways. From our point of view, it is appropriate to use S. Hall’sclassification. He suggested a scheme for "decrypting" messages in the media, however, in our opinion, his scheme works for any communicative act (including graffiti). He distinguished dominant ("dominant-hegemonic"), oppositional ("oppositional") and negotiated ("negotiated") decoding. In the graffiti situation, oppositional decoding prevails among ordinary recipients (passers-by). U. Eco called this type aberrant, because it provides "decryption" of text with a different code than the one it was created for. Authors of graffiti themselves are often not fully aware of what they createalso. Modern writers use techniques of op-art, Dadaism, surrealism, etc., without being very oriented in all these directions. When graffiti combines different types of art (for example, the combination of painting with literature), it takes into account the features of inter-semiotic translation, which makes the decoding situation even more complicated. We offercreating a semioticclassificationofgraffiti, that might be based on Ch. Peirce’s classification of semiotic signs, whichdistinguishthesigns-copies, signs-indexes, signs-symbols. It could help the essence of graffiti and decode them.


2012 ◽  
Vol 26 (07) ◽  
pp. 1250062 ◽  
Author(s):  
XIAO-LING GAI ◽  
YI-TIAN GAO ◽  
XIN YU ◽  
ZHI-YUAN SUN

Generalized (3+1)-dimensional Boussinesq equation is investigated in this paper. Through the dependent variable transformation and symbolic computation, the one- and two-soliton solutions are obtained. With the one-soliton solution, the coefficient effects in the soliton propagation process are investigated. Through analyzing the two-soliton solution, two kinds of two-soliton interactions are presented: (i) Two solitons merge into a bigger one whose amplitude increases but does not exceed the sum of the two at the moment of the collision; (ii) Two solitons can pass through each other, and their shapes keep unchanged with a phase shift after the separation. In addition, two kinds of analytic solutions are discussed: (i) "Amplitudes" of the two analytic solutions immediately turn to negative (positive) infinity after the "collision"; (ii) Two analytic solutions are fused into a higher peak (valley) at the moment of "collision", whose "amplitudes" change to negative (positive) infinity after the separation.


2000 ◽  
Vol 11 (01) ◽  
pp. 167-181 ◽  
Author(s):  
GHEORGHE PĂUN

Membrane Computing is a recently introduced area of Molecular Computing, where a computation takes place in a membrane structure where multisets of objects evolve according to given rules (they can also pass through membranes). The obtained computing models were called P systems. In basic variants of P systems, the use of objects evolution rules is regulated by a given priority relation; moreover, each membrane has a label and one can send objects to precise membranes, identified by their labels. We propose here a variant where we get rid of both there rather artificial (non-biochemical) features. Instead, we add to membranes and to objects an "electrical charge" and the objects are passed through membranes according to their charge. We prove that such systems are able to characterize the one-letter recursively enumerable languages (equivalently, the recursively enumerable sets of natural numbers), providing that an extra feature is considered: the membranes can be made thicker or thinner (also dissolved) and the communication through a membrane is possible only when its thickness is equal to 1. Several open problems are formulated.


Worldview ◽  
1976 ◽  
Vol 19 (12) ◽  
pp. 24-36 ◽  
Author(s):  
Luitgard N. Wundheiler

The Jewish poet, Paul Celan, was born in Czernovitz, Rumania, in 1920 and committed suicide in Paris in 1970. His native tongue was German. He wrote eight volumes of poetry, all in German, although he spent almost half his life in France and was fluent in several languages. In a public address delivered in Bremen in 1958, on the occasion of being awarded a literary prize, he spoke of the German language as the one possession that had remained "reachable, close, and unlost in the midst of losses…although it had to pass through a thousand darknesses of deathdealing speech." German is the language of Holderlin, Biichner, and Rilke, all of whom Celan admired, but also the language in which the words Endlösung (final solution), Sonderbehandlung (special treatment), and judenrein (cleansed of Jews) were coined.


1983 ◽  
Vol 244 (4) ◽  
pp. R492-R499
Author(s):  
T. Sato ◽  
N. Ikeda ◽  
H. Tsuruta ◽  
M. Shirataka

The well-known base excess (BE) and buffer base (BB) curves of Siggaard-Andersen's nomogram are based on their empirical finding that the blood buffer lines in the pH-log PCO2 coordinates with the same BE (or BB) always pass through a single point irrespective of the hemoglobin concentration. We have analytically derived the BE and BB curves on the assumption of a two-compartmental model of blood buffer system comprised of plasma and red blood cells. These hyperbolic functions of BE and BB curves fitted the Siggaard-Andersen's observation very well. The simple formulas derived from the buffer equation with the parameters obtained on the least-square basis were shown to estimate “metabolic indices” of blood as accurately as the computer reading of the nomographic curves. These results seem to indicate that the buffer equation based on the two-compartmental model describes the acid-base status of blood satisfactorily, and that it can entirely replace the Siggaard-Andersen's nomogram.


According to Prof. Sir E. Rutherford, if about one hundred thousand α-rays from radium C pass through the air, on the average there will be one close nuclear collision, which produces a swiftly moving atom. Thus, if we take a great number of photographs of α-ray tracks compatible with the above order of magnitude, we might expect to find some evidence to indicate the disruption of atoms by the α-particles. The present note is to describe some preliminary trials in this direction. The reciprocating expansion apparatus of the preceding article is very convenient for taking a large number of photographs within a reasonable time. Direct eye-observation confirmed the existence of some branched tracks which differed greatly in configuration from spurred tracks like the one photographed by Mr. C. T. R. Wilson. Arrangements were then made to devise a suitable method of photographing such tracks and to show their orientation in space.


2000 ◽  
Vol 6 (3) ◽  
pp. 364-364 ◽  
Author(s):  
NANCY R. TEMKIN ◽  
ROBERT K. HEATON ◽  
IGOR GRANT ◽  
SUREYYA S. DIKMEN

Hinton-Bayre (2000) raises a point that may occur to many readers who are familiar with the Reliable Change Index (RCI). In our previous paper comparing four models for detecting significant change in neuropsychological performance (Temkin et al., 1999), we used a formula for calculating Sdiff, the measure of variability for the test–retest difference, that differs from the one Hinton-Bayre has seen employed in other studies of the RCI. In fact, there are two ways of calculating Sdiff—a direct method and an approximate method. As stated by Jacobson and Truax (1991, p. 14), the direct method is to compute “the standard error of the difference between the two test scores” or equivalently [begin square root](s12 + s22 − 2s1s2rxx′)[end square root] where si is the standard deviation at time i and rxx′ is the test–retest correlation or reliability coefficient. Jacobson and Truax also provide a formula for the approximation of Sdiff when one does not have access to retest data on the population of interest, but does have a test–retest reliability coefficient and an estimate of the cross-sectional standard deviation, i.e., the standard deviation at a single point in time. This approximation assumes that the standard deviations at Time 1 and Time 2 are equal, which may be close to true in many cases. Since we had the longitudinal data to directly calculate the standard error of the difference between scores at Time 1 and Time 2, we used the direct method. Which method is preferable? When the needed data are available, it is the one we used.


1997 ◽  
Vol 347 ◽  
pp. 171-195 ◽  
Author(s):  
A. SALHI ◽  
C. CAMBON

The development of turbulence is investigated in the presence of a mean plane shear flow (rate S) rotating with angular velocity vector (rate Ω) perpendicular to its plane. An important motivation was generalizing the work by Lee, Kim & Moin (1990) to rotating shear flow, in particular detailed comparisons of homogeneous rapid distortion theory (RDT) results and the databases of homogeneous and channel flow direct numerical simulations (DNS). Linear analysis and related RDT are used starting from the linearized equations governing the fluctuating velocity field. The parameterization based on the value of the Bradshaw–Richardson number B=R(1+R) (with R=−2Ω/S) is checked against complete linear solutions. Owing to the pressure fluctuation, the dynamics is not governed entirely by the parameter B, and the subsequent breaking of symmetry (between the R and −1 −R cases) is investigated. New analytical solutions for the ‘two-dimensional energy components’ [Escr ](l)ij =Eij(kl=0, t) (i.e. the limits at kl=0 of the one-dimensional energy spectra) are calculated by inviscid and viscous RDT, for various ratios Ω/S and both streamwise l=1 and spanwise l=3 directions. Structure effects (streak-like tendencies, dimensionality) in rotating shear flow are discussed through these quantities and more conventional second-order statistics. In order to compare in a quantitative way RDT solutions for single-point statistics with available large-eddy simulation (LES) data (Bardina, Ferziger & Reynolds 1983), an ‘effective viscosity’ model (following Townsend) is used, yielding an impressive agreement.


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