scholarly journals Translational symmetries of quadratic Lagrangians

Author(s):  
Andrea Barducci ◽  
Roberto Casalbuoni

In this paper, we show that a quadratic Lagrangian, with no constraints, containing ordinary time derivatives up to the order [Formula: see text] of [Formula: see text] dynamical variables, has [Formula: see text] symmetries consisting in the translation of the variables with solutions of the equations of motion. We construct explicitly the generators of these transformations and prove that they satisfy the Heisenberg algebra. We also analyze other specific cases which are not included in our previous statement: the Klein–Gordon Lagrangian, [Formula: see text] Fermi oscillators and the Dirac Lagrangian. In the first case, the system is described by an equation involving partial derivatives, the second case is described by Grassmann variables and the third shows both features. Furthermore, the Fermi oscillator and the Dirac field Lagrangians lead to second class constraints. We prove that also in these last two cases there are translational symmetries and we construct the algebra of the generators. For the Klein–Gordon case we find a continuum version of the Heisenberg algebra, whereas in the other cases, the Grassmann generators satisfy, after quantization, the algebra of the Fermi creation and annihilation operators.

1994 ◽  
Vol 4 (4) ◽  
pp. 390-394 ◽  
Author(s):  
Jassim M. Abdulhamed ◽  
Saad Al Yousef ◽  
Mohamed A. Ali Khan ◽  
Martin O'Laughlin

AbstractThree patients aged five years, five years four months and 14 years with obstruction of the systemic venous baffle following the Mustard operation were treated with balloon dilation and implantation ofstents. Balloon dilation of the baffle obstruction was performed initially in the first two cases. In the third case, the obstruction was complete and was punctured with atranseptal needle via a 6 French transeptal sheath followed by a balloon dilation. in all three patients, a Palmaz stent (Johnson & Johnson, Summerville, New Jersey, USA) was loaded onto the balloon catheter and delivered into the stenotic area. There was complete relief of obstruction in allcases. The first case developed supraventricular tachycardia at the time ofcatheterization, the morning following implantation of the stent and thentwo weeks after that. There were no complications with catheterization and noshort-term side effects in the other cases. These cases illustrate the use of endovascular stents in the treatment of baffle obstruction.


Barnboken ◽  
2021 ◽  
Author(s):  
Claus K. Madsen ◽  
Lea Allouche

Making Sense of Nonsense: Readings of Children’s Poetry as Play and Creative Thinking Abstract: Nonsense and meaning are not necessarily conflicting concepts, but can be conceived of as a hendiadys, that is, not opposites, the one or the other, but as one and the other. The idea that meaning and nonsense are related and coexist is a premise for this article, which describes different structures of meaning in the nonsense poetry of Birgitte Krogsbøll and Kamilla Wichmann’s picture book Funkelgnister: Rim, råb og remser (2015, Glittersparks: Rhymes, Roars and Rigmaroles). By linking our analysis of Funkelgnister to Johan Huizinga’s theory of play as a prerequisite for culture, we reveal how the specific structures and logics of the poems generate meaning and thereby we disclose how children’s nonsense poetry is simultaneously meaningful and nonsensical, as a creative thinking akin to culture developed through play and playfulness. We describe how meaning can be sought in three directions, suggested by Gilles Deleuze: above, below and on the surface. In the first case, we consider nonsense as a seductive acoustic phenomenon. In the second, we focus on nonsense poetry as subversive. And finally, in the third case, we show how it is an event. In all, these different aspects demonstrate how nonsense poetry functions as play and challenges our understanding of what it means to read. Following Jurij Lotman’s understanding of pictorial language as creative thinking, we show how nonsense in Funkelgnister opens up a free space by utilizing an in-between, where meaning takes on different forms as signs and sounds, and how the inherent rejection of normative rules of reading in such a venture, initiates a production of meaning as metonymic activity. We thereby highlight how nonsense generates a ground for a creative development of meaning. 


2015 ◽  
Vol 93 (11) ◽  
pp. 1434-1438
Author(s):  
Mehmet Pakdemirli ◽  
Yiğit Aksoy

The free kick problem is considered for three distinct cases: (i) no air drag or lift, (ii) linear drag, and (iii) linear drag and lift. For the first case, closed form formulas are derived for the initial velocities and angles. For the second case, two coupled algebraic equations written from the trajectory equation are given and solved numerically for the initial velocities and angles. For the third case, the equations of motion are solved approximately using perturbation techniques assuming the lift coefficient to be small compared to the drag coefficient. Because the time variable cannot be eliminated between the equations, four coupled sets of algebraic equations are solved numerically for the initial velocities and angles. All three results are compared with each other and the influences of drag and lift coefficients on the velocities and angles are outlined.


1952 ◽  
Vol 1 (1) ◽  
pp. 48-66 ◽  
Author(s):  
A. Franceschetti ◽  
D. Klein

Description of 3 cases of identical twins affected by concordant oxycephaly. In the first case, one of the twins had a son who was likewise afflicted by a typical scaphocephaly. In the second case, both children showed also a convergent concomitant strabismus, which was latent in one and manifest in the other, and moreover a concordant ptosis. In the third case, the oxycephaly was associated with cutis frontis gyrata homologous in both twins.A confrontation of the cases of oxycephaly in identical twins based on the literature and our personal cases, shows clearly a majority in favour of concordance : 25 concordant pairs as compared to 10 discordant ones; the fraternal twins (7-8 cases) are all discordant as regards oxycephaly. The cases of discordant oxycephaly in monozygotic twins must therefore be interpreted as the result of an unstable gene of feeble penetrance. The conclusion of the genotypic origin of oxycephaly is corroborated by some pedigrees showing a transmission through 2 or more generations. Two reported cases with consanguinity of the parents suggest likewise the possibility of recessive inheritance.The association of oxycephaly with cutis frontis gyrata, as observed in our third case, having not yet been described, we cannot for the moment decide whether this combination is due to chance or whether there exists a pathogenic correlation between both anomalies.


2020 ◽  
Vol 6 (3) ◽  
pp. 305
Author(s):  
A. Brandt

In the course of the past year, the author had to perform a Caesar section in the Hamburg maternity hospital five times, of which 3 sections were performed according to the Porro method and 2 according to the classical method. The indications for the Porro operation were, in the first case, the narrowing of the pelvis under the influence of coxalgia, in the other, the narrowing of the pelvis due to a dense tumor of the pelvis, and, finally, in the third, the narrowing was due to the intraligamentary ovarian cyst, which turned out to be completely immobile in this case. Porro's operation was not shown, but was done due to consistent uterine atony.


1995 ◽  
Vol 62 (3) ◽  
pp. 380-382
Author(s):  
B. Rovereto ◽  
P. Quaretti ◽  
F. La Marca ◽  
A. Tronci ◽  
D. Cappelli ◽  
...  

We report the preliminary results of ureteral obstruction treatment with self-expanding metallic Wallstents (SMWs) in 3 women. The causes of the obstructions were: in the first case pelvic relapse of an ovario carcinoma, in the second retroperitoneal fibrosis, and in the third pelvic fibrosis due to uterine cancer radiotherapy. In one patient only one SMW was placed, while in the other two, two SMWs were placed in the same ureter. At follow-up sonography, urography, and CT scan the ureters showed no sign of obstruction. In our limited experience, the SMW device is effective, easy to insert and minimally invasive.


2020 ◽  
Vol 40 (2) ◽  
pp. 347-376
Author(s):  
Sergio Dellavalle

Abstract The article analyses the presuppositions that lie behind the transition from the unitary conception of order to the view that a multiplicity of orders should not be denounced as a pathology any longer, but accepted on the one hand as a fact and on the other as a desirable phenomenon. The first step of the analysis consists in introducing the fundamental elements of the unitary conception of order in both its variants: the particularistic and the holistic. Three approaches are then outlined which abandon the unitary notion of order: systems theory, post-modernism and discourse theory. Each of these approaches lays the ground for a specific notion of post-unitary legal order: the idea of the existence of a multiplicity of self-reliant, albeit not mutually indifferent, legal systems in the first case; radical legal pluralism in the second; and cosmopolitan constitutionalism in the third.


ENTOMON ◽  
2018 ◽  
Vol 43 (4) ◽  
pp. 257-262
Author(s):  
Atanu Seni ◽  
Bhimasen Naik

Experiments were carried out to assess some insecticide modules against major insect pests of rice. Each module consists of a basal application of carbofuran 3G @ 1 kg a.i ha-1 at 20 DAT and Rynaxypyr 20 SC @ 30 g a.i ha-1 at 45 DAT except untreated control. All modules differ with each other only in third treatment which was applied in 65 DAT. The third treatment includes: Imidacloprid 17.8 SL @ 27 g a.i ha-1, Pymetrozine 50 WG @ 150 g a.i ha-1, Triflumezopyrim 106 SC @ 27 g a.i ha-1, Buprofezin 25 SC @ 250 g a.i ha-1; Glamore (Imidacloprid 40+Ethiprole 40% w/w) 80 WG @ 100 g a.i. ha-1, Thiacloprid 24 SC @ 60 g a.i ha-1, Azadirachtin 0.03 EC @ 8 g a.i ha-1, Dinotefuran 20 SG@ 40 g a.i ha-1 and untreated control. All the treated plots recorded significantly lower percent of dead heart, white ear- head caused by stem borer and silver shoot caused by gall midge. Module with Pymetrozine 50 WG @ 150 g a.i ha-1 treated plot recorded significantly higher per cent reduction of plant hoppers (>80% over untreated control) and produced higher grain yield (50.75 qha-1) than the other modules. Among the different treated modules the maximum number of spiders was found in Azadirachtin 0.03 EC @ 8 g a.i ha-1 treated module plot followed by other treatments.


Author(s):  
Daniel Martin Feige

Der Beitrag widmet sich der Frage historischer Folgeverhältnisse in der Kunst. Gegenüber dem Gedanken, dass es ein ursprüngliches Werk in der Reihe von Werken gibt, das späteren Werken seinen Sinn gibt, schlägt der Text vor, das Verhältnis umgekehrt zu denken: Im Lichte späterer Werke wird der Sinn früherer Werke neu ausgehandelt. Dazu geht der Text in drei Schritten vor. Im ersten Teil formuliert er unter der Überschrift ›Form‹ in kritischer Abgrenzung zu Danto und Eco mit Adorno den Gedanken, dass Kunstwerke eigensinnig konstituierte Gegenstände sind. Die im Gedanken der Neuverhandlung früherer Werke im Lichte späterer Werke vorausgesetzte Unbestimmtheit des Sinns von Kunstwerken wird im zweiten Teil unter dem Schlagwort ›Zeitlichkeit‹ anhand des Paradigmas der Improvisation erörtert. Der dritte und letzte Teil wendet diese improvisatorische Logik unter dem Label ›Neuaushandlung‹ dann dezidiert auf das Verhältnis von Vorbild und Nachbild an. The article proposes a new understanding of historical succession in the realm of art. In contrast to the idea that there is an original work in the series of works that gives meaning to the works that come later, the text proposes to think it exactly the other way round: in the light of later works, the meanings of earlier works are renegotiated. The text proceeds in three steps to develop this idea. Under the heading ›Form‹ it develops in the first part a critical reading of Danto’s and Eco’s notion of the constitution of the artworks and argues with Adorno that each powerful work develops its own language. In the second part, the vagueness of the meaning of works of art presupposed in the idea of renegotiating earlier works in the light of later works is discussed under the term ›Temporality‹ in terms of the logic of improvisation. The third and final part uses this improvisational logic under the label ›Renegotiation‹ to understand the relationship between model and afterimage in the realm of art.


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