scholarly journals A Bijective Proof of the ASM Theorem Part II: ASM Enumeration and ASM–DPP Relation

Author(s):  
Ilse Fischer ◽  
Matjaž Konvalinka

Abstract This paper is the 2nd in a series of planned papers that provide 1st bijective proofs of alternating sign matrix (ASM) results. Based on the main result from the 1st paper, we construct a bijective proof of the enumeration formula for ASMs and of the fact that ASMs are equinumerous with descending plane partitions. We are also able to refine these bijections by including the position of the unique $1$ in the top row of the matrix. Our constructions rely on signed sets and related notions. The starting point for these constructions were known “computational” proofs, but the combinatorial point of view led to several drastic modifications. We also provide computer code where all of our constructions have been implemented.

2021 ◽  
Vol 10 (43) ◽  
pp. 234-247
Author(s):  
Irina S. Karabulatova ◽  
Margarita D. Lagutkina ◽  
Natalia V. Borodina ◽  
Maria A. Streltsova ◽  
Aleksei O. Bakhus

The authors analyze the linguo-information model of the country in the modern media discourse of Russia and China. Screening of Russian and Chinese sources uses the method of contextual analysis with an emphasis on the implicit content of the media image of the country, the descriptive method, the method of cultural interpretation, content analysis. Information wars use the image of a country as a starting point in the matrix of media discourse to emphasize the perception of information. The authors propose the concept of a media matrix for understanding the cognitive side of media images of geopolitical topoobjects. The authors substantiate the introduction of the terms linguoinforneme and linguoinformational step into scientific circulation from the point of view of the structure of the matrix of geopolitonyms of the media. The media image of the country in the media discourse is diverse, being realized in evaluative linguistic systems. The authors show what the mythologized / realistic perception of the image of the country is based on, how it is conditioned by the tasks of geopolitics, how it correlates with the strategies of international cooperation and how it affects intercultural communication.


Trictrac ◽  
2016 ◽  
Vol 9 ◽  
Author(s):  
Liliana Danciu ◽  
Petru Adrian Danciu

The axes of the creation and birth of the imaginary as a mythical language. Our research follows the relationships of the concepts that are taking into account creation on the double axis of verticality and horizontality. We highlight those symbolic elements which would later constitute the mythical language about the sacred space-temporality. Inside this space-temporality a rich spectrum of mythical images develops; images capable of explaining the relationships of the creation plans. Without a religious perception of the temporality, the conceptualization of the axis would remain a philosophical approach. Through our point of view, the two are born simultaneously. Thanks to them, creation can be imagined. The first “frozen” formula of the mystical human spirit can be thought, brought to a palpable reality, expressed in an oral and then a written form. Studied together, temporality (sacred or not) and space are permanently imagined together. For example, a loss of mundane temporality in the secret ecstasy that offers to the soul an ascending direction does not mean getting out of universal temporality, but of its mundane section. In the sacred space the soul relates to time. Even the gods are submitted by the sacred, Aeon sometimes being synonymous to destiny. The universal creator seems to evade every touch, but not consistently, only when he avoids the descent into its created worlds. In sacredness, time and space seem or become confused, both expressing the same reality, by the immediate swing from thinking to deed. The mythical imagery conceives the displacement in the primary space-temporality by the spoken word. So, for something to appear and live, the spoken word is required. Even the divine dream appears as a pre-word of a creator’s thought. The thought follows the spoken word, the spoken word follows the gestures which finally indicate the meanings of the creative act, controlling the rhythm of the creation days. These three will later be adapted through imitation in rite. We are now situated at the limit of the physical world, a real challenge for the mythical imagery. The general feature of the mythical expression on the creation of the material world is the state of the divinity’s exhaustion, most often conceptualized by sacrifice or divine fatigue. The world geography identifies with the anatomy of a self-gutted god. Practically, material creation is most likely the complete revelation of God’s body autopsy. As each body decomposes, everything in it is an illusion. An axial approach of the phenomenon exists in all religious systems. The created element’s origin is exterior, with or without a pre-existing matter, by a god’s sacrifice or only because it has to be that way. This is the starting point of the discussion on the symbolism of axiality as a reason for the constitution of the language of creation, capable of retelling the imaginary construction of myth in an oral and then written form.


2012 ◽  
pp. 66-80
Author(s):  
Michał Mrozowicki

Michel Butor, born in 1926, one of the leaders of the French New Novel movement, has written only four novels between 1954 and 1960. The most famous of them is La Modification (Second thoughts), published in 1957. The author of the paper analyzes two other Butor’s novels: L’Emploi du temps (Passing time) – 1956, and Degrés (Degrees) – 1960. The theme of absence is crucial in both of them. In the former, the novel, presented as the diary of Jacques Revel, a young Frenchman spending a year in Bleston (a fictitious English city vaguely similar to Manchester), describes the narrator’s struggle to survive in a double – spatial and temporal – labyrinth. The first of them, formed by Bleston’s streets, squares and parks, is symbolized by the City plan. During his one year sojourn in the city, using its plan, Revel learns patiently how to move in its different districts, and in its strange labyrinth – strange because devoid any centre – that at the end stops annoying him. The other, the temporal one, symbolized by the diary itself, the labyrinth of the human memory, discovered by the narrator rather lately, somewhere in the middle of the year passed in Bleston, becomes, by contrast, more and more dense and complex, which is reflected by an increasinly complex narration used to describe the past. However, at the moment Revel is leaving the city, he is still unable to recall and to describe the events of the 29th of February 1952. This gap, this absence, symbolizes his defeat as the narrator, and, in the same time, the human memory’s limits. In Degrees temporal and spatial structures are also very important. This time round, however, the problems of the narration itself, become predominant. Considered from this point of view, the novel announces Gerard Genette’s work Narrative Discourse and his theoretical discussion of two narratological categories: narrative voice and narrative mode. Having transgressed his narrative competences, Pierre Vernier, the narrator of the first and the second parts of the novel, who, taking as a starting point, a complete account of one hour at school, tries to describe the whole world and various aspects of the human civilization for the benefit of his nephew, Pierre Eller, must fail and disappear, as the narrator, from the third part, which is narrated by another narrator, less audacious and more credible.


2018 ◽  
Vol 28 (6) ◽  
pp. 1993-2005
Author(s):  
Shemsije Demiri ◽  
Rudina Kaja

This paper deals with the right to property in general terms from its source in Roman law, which is the starting point for all subsequent legal systems. As a result of this, the acquisition of property rights is handled from the historical point of view, with the inclusion of various local and international literature and studies, as well as the legal aspect devoted to the respective civil codes of the states cited in the paper.Due to such socio-economic developments, state ownership and its ownership function have changed. The state function as owner of property also changed in Macedonia's property law.The new constitutional sequence of the Republic of Macedonia since 1991 became privately owned as a dominant form of ownership, however, state ownership also exists.This process of transforming social property into state or private (dissolves), in Macedonia starts from Yugoslavia through privatization, return and denationalization measures, on which basis laws on privatization have been adopted. Because of this, there will be particularly intensive negotiations regaring the remaining state assets.


2020 ◽  
Vol 27 (5) ◽  
pp. 400-410
Author(s):  
Valentina De Luca ◽  
Luigi Mandrich

: Enzymes are among the most studied biological molecules because better understanding enzymes structure and activity will shed more light on their biological processes and regulation; from a biotechnological point of view there are many examples of enzymes used with the aim to obtain new products and/or to make industrial processes less invasive towards the environment. Enzymes are known for their high specificity in the recognition of a substrate but considering the particular features of an increasing number of enzymes this is not completely true, in fact, many enzymes are active on different substrates: this ability is called enzyme promiscuity. Usually, promiscuous activities have significantly lower kinetic parameters than to that of primary activity, but they have a crucial role in gene evolution. It is accepted that gene duplication followed by sequence divergence is considered a key evolutionary mechanism to generate new enzyme functions. In this way, promiscuous activities are the starting point to increase a secondary activity in the main activity and then get a new enzyme. The primary activity can be lost or reduced to a promiscuous activity. In this review we describe the differences between substrate and enzyme promiscuity, and its rule in gene evolution. From a practical point of view the knowledge of promiscuity can facilitate the in vitro progress of proteins engineering, both for biomedical and industrial applications. In particular, we report cases regarding esterases, phosphotriesterases and cytochrome P450.


2020 ◽  
Vol 16 (6) ◽  
pp. 784-795
Author(s):  
Krisnna M.A. Alves ◽  
Fábio José Bonfim Cardoso ◽  
Kathia M. Honorio ◽  
Fábio A. de Molfetta

Background:: Leishmaniosis is a neglected tropical disease and glyceraldehyde 3- phosphate dehydrogenase (GAPDH) is a key enzyme in the design of new drugs to fight this disease. Objective:: The present study aimed to evaluate potential inhibitors of GAPDH enzyme found in Leishmania mexicana (L. mexicana). Methods: A search for novel antileishmanial molecules was carried out based on similarities from the pharmacophoric point of view related to the binding site of the crystallographic enzyme using the ZINCPharmer server. The molecules selected in this screening were subjected to molecular docking and molecular dynamics simulations. Results:: Consensual analysis of the docking energy values was performed, resulting in the selection of ten compounds. These ligand-receptor complexes were visually inspected in order to analyze the main interactions and subjected to toxicophoric evaluation, culminating in the selection of three compounds, which were subsequently submitted to molecular dynamics simulations. The docking results showed that the selected compounds interacted with GAPDH from L. mexicana, especially by hydrogen bonds with Cys166, Arg249, His194, Thr167, and Thr226. From the results obtained from molecular dynamics, it was observed that one of the loop regions, corresponding to the residues 195-222, can be related to the fitting of the substrate at the binding site, assisting in the positioning and the molecular recognition via residues responsible for the catalytic activity. Conclusion:: he use of molecular modeling techniques enabled the identification of promising compounds as inhibitors of the GAPDH enzyme from L. mexicana, and the results obtained here can serve as a starting point to design new and more effective compounds than those currently available.


2021 ◽  
Vol 27 (1) ◽  
pp. 74-89
Author(s):  
Nicholas W.M. Ritchie

AbstractThis, the second in a series of articles present a new framework for considering the computation of uncertainty in electron excited X-ray microanalysis measurements, will discuss matrix correction. The framework presented in the first article will be applied to the matrix correction model called “Pouchou and Pichoir's Simplified Model” or simply “XPP.” This uncertainty calculation will consider the influence of beam energy, take-off angle, mass absorption coefficient, surface roughness, and other parameters. Since uncertainty calculations and measurement optimization are so intimately related, it also provides a starting point for optimizing accuracy through choice of measurement design.


1967 ◽  
Vol 113 (501) ◽  
pp. 813-822 ◽  
Author(s):  
Örnulv Ödegård

My choice of Kraepelin as a point of departure for this lecture has definite reasons. If one wants to stay within the field of clinical psychiatry (as opposed to psychiatric history), that is as far back as one can reasonably go. By this no slight is intended upon the pre-Kraepelinian psychiatrists. For our topic Henry Maudsley would indeed have been a most appropriate starting point, and by no means for reasons of courtesy. His general point of view is admirably sound as a basis for the scientific study of prognosis in psychiatry. I quote: “There is no accident in madness. Causality, not casualty, governs its appearance in the universe, and it is very far from being a good and sufficient practice simply to mark its phenomena and straightway to pass on as if they belonged not to an order but to a disorder of events that called for no explanation.” On the special problem of prognosis he shows his clinical acumen by stating that the outlook is poor when the course of illness is insidious, but this only means that these cases develop their psychoses on the basis of mental deviations which go very far back in the patient's life, so that in fact they are generally in a chronic stage at the time of their first admission to hospital. Here he actually corrects a mistake which is still quite often made. He shows his dynamic attitude when he says that prognosis is to a large extent modified by external conditions, in particular by the attitude of friends and relatives. Maudsley's dynamic reasoning was limited by the narrow framework of the degeneration hypothesis of those days. He had a sceptical attitude towards classification, which he regarded as artificial and dangerously pseudo-exact. His own classification was deliberately provisional, with very wide groups. He held that a description of various sub-forms of chronic insanity was useless, as it would mean nothing but a tiresome enumeration of unconnected details.


2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Dionysios Anninos ◽  
Beatrix Mühlmann

Abstract We explore the conjectured duality between a class of large N matrix integrals, known as multicritical matrix integrals (MMI), and the series (2m − 1, 2) of non-unitary minimal models on a fluctuating background. We match the critical exponents of the leading order planar expansion of MMI, to those of the continuum theory on an S2 topology. From the MMI perspective this is done both through a multi-vertex diagrammatic expansion, thereby revealing novel combinatorial expressions, as well as through a systematic saddle point evaluation of the matrix integral as a function of its parameters. From the continuum point of view the corresponding critical exponents are obtained upon computing the partition function in the presence of a given conformal primary. Further to this, we elaborate on a Hilbert space of the continuum theory, and the putative finiteness thereof, on both an S2 and a T2 topology using BRST cohomology considerations. Matrix integrals support this finiteness.


2021 ◽  
Vol 54 (2) ◽  
pp. 251-272
Author(s):  
Margrit Seckelmann

Die Übersetzung von Recht in (Computer–)‌Code ist derzeit in aller Munde. Lawrence Lessigs berühmtes Diktum, „Code is Law“ wird neuerdings dahingehend reformuliert, dass „Law“ auch „Code“ sei, dass man bei der Rechtsetzung also zugleich seine rechentechnische Umsetzbarkeit mitzudenken habe. Einen Ansatzpunkt für eine derartige „Algorithmisierbarkeit“ von Recht bietet § 35a des Verwaltungsverfahrensgesetzes des Bundes, wonach „automatisierte“ Entscheidungen in bestimmten Fällen zugelassen werden. Ein aktuelles Papier des Fraunhofer FOKUS-Instituts unter dem Titel „Recht Digital“ denkt dieses weiter und suggeriert, man müsse nur die passenden, eindeutigen Ausdrücke finden, dann sei Recht gleichsam „programmierbar“. Aber genau hier stellt sich das Problem: Rechtssprache ist eine Multi-Adressaten-Sprache, also eine Sprache, die sich ebenso sehr an ein Fachpublikum wie an Laien (Bürgerinnen und Bürger) wendet. Sie ist zudem kontextabhängig. Der aktuelle Hype um den Begriff der „Algorithmisierung“ von Gesetzen verbirgt zudem, dass es sich hierbei um ein Grundproblem von Rechtssprache handelt, das in den 1960er bis 1980er Jahren unter den Paradigmata „Rechts-/Verwaltungsautomation“ oder Rechtskybernetik verhandelt wurde. Wie kann man sich also dem Problem der Kontextabhängigkeit von Recht unter dem neuen Paradigma der Algorithmisierung nähern? Im Beitrag über „Algorithmenkompatibles Verwaltungsrecht? Juristische und sprachwissenschaftliche Überlegungen zu einer ‚Standardisierung von Rechtsbegriffen‘“ werden verschiedene Zugänge zur Schaffung einer „algorithmenkonformen“ Rechtssprache vorgestellt. Letztlich aber vermögen es noch so ausgefeilte technische Methoden nicht, das Problem demokratischer Deliberation zu verdrängen – über die fundamentalen Fragen einer Algorithmisierung der Rechtssprache muss der unmittelbar demokratisch legitimierte Gesetzgeber entscheiden. „Kontext“ und „Text“ geraten insoweit in ein wechselseitiges Abhängigkeitsverhältnis. The translation of law into (computer) code seems to be currently on everyone’s lips. Lawrence Lessigs’ famous dictum “Code is Law” has recently been rephrased saying that “Law” was also “Code”. This means that the wording of laws should directly take their “computer implementability” into consideration. A starting point for those postulations can be seen in the (relatively) new section 35a of the (Federal) Administrative Prodecure Act (Verwaltungsverfahrensgesetz), which allows “automatic” decisions in specific cases. A new paper of the Fraunhofer FOKUS institute takes this up and suggests that we have only to look for the appropriate, unambiguous term that corresponds with an unequivocal legal meaning. In doing so, law could be programmable. But this is exactly the point where the problem arises: laws have more than one addressee; they address lawyers as well as citizens (mostly laypeople). Furthermore, legal terminology is context dependent. The current hype regarding the “algorithmization” of legal terminology also hides the fact that this issue was – more or less – discussed once before under the paradigm “legal cybernetics” between 1960 and 1985. So how can we approach the problem of context-dependency of law under the new paradigm of algorithmization? In our contribution on “Algorithm-compatible administrative law? Legal and linguistic considerations concerning the ‘standardization’ of legal terminology”, we will introduce different approaches to safeguard the compatibility of law with computer technics. But how sophisticated a technical method can be: It is the democratically legitimised parliament that must make the fundamental decisions when it comes to an “algorithmization” of legal terminology, because there is no text without context.


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