scholarly journals Lattice Homomorphisms Between Weak Orders

10.37236/7914 ◽  
2019 ◽  
Vol 26 (2) ◽  
Author(s):  
Nathan Reading
Keyword(s):  
Lattice Theory ◽  
Coxeter Groups ◽  
A Priori ◽  
Point Of View ◽  
General Construction ◽  
Parabolic Subgroups ◽  
Theory Point ◽  
Lattice Homomorphisms ◽  
Weak Orders

We classify surjective lattice homomorphisms $W\to W'$ between the weak orders on finite Coxeter groups.  Equivalently, we classify lattice congruences $\Theta$ on $W$ such that the quotient $W/\Theta$ is isomorphic to $W'$.  Surprisingly, surjective homomorphisms exist quite generally:  They exist if and only if the diagram of $W'$ is obtained from the diagram of $W$ by deleting vertices, deleting edges, and/or decreasing edge labels.  A surjective homomorphism $W\to W'$ is determined by its restrictions to rank-two standard parabolic subgroups of $W$.  Despite seeming natural in the setting of Coxeter groups, this determination in rank two is nontrivial.  Indeed, from the combinatorial lattice theory point of view, all of these classification results should appear unlikely a priori.  As an application of the classification of surjective homomorphisms between weak orders, we also obtain a classification of surjective homomorphisms between Cambrian lattices and a general construction of refinement relations between Cambrian fans.

Cycladic Vase-painting of the Seventh Century

1926 ◽  
Vol 46 (2) ◽  
pp. 203-212 ◽  
Author(s):  
H. G. G. Payne
Keyword(s):  
A Priori ◽  
Point Of View ◽  
Seventh Century ◽  
Alternative Solution ◽  
Vase Painting ◽  
New Material ◽  
The Subject ◽  
Of Greece

An inquiry into the classification of the various Island fabrics of the seventh century is accompanied by many difficulties, some of which are the peculiar inheritance of the subject. Not only was much of the material discovered without grouping or stratification in the Catharsis grave at Rheneia; the very fact of the original provenance of these vases from Delos at once deprives the circumstances of their discovery of much of its a priori significance. Further, by far the greater part of the material, from Rheneia remains unpublished; and, lastly, there will always be the difficulty, often amounting to impossibility, of classifying some of the fabrics at all without examining the vases in the hand—a process which involves a visit to several comparatively inaccessible places. The result of these various and partially inevitable causes is a misfortune, inasmuch as Cycladic vase-painting, despite many borrowings, possesses a definite and often very interesting individuality of its own. Of this the published finds have for some years given us a simple and fairly intelligible picture, a chiaroscuro effect, one might say, in which the central figures appeared clearly, if not sharply, grouped against the background. Gradually, however, as our knowledge and materials increase, it appears that the straight-forwardness of the picture was in some measure deceptive. In reality the subject is beset by complications, and there is, unfortunately, much for the chilly work of analysis to do before we can hope to appreciate for its own sake what the various schools of Island painting have to offer, or to understand their point of view in relation to that of their contemporaries in Crete, in Ionia and on the mainland of Greece. Accordingly, the appearance of a work containing much new material was a very welcome event. In Professor Dugas' book the subject receives its first specialised treatment, but his classification presents one or two difficulties, and the notes which follow have been put together as an alternative solution of the problems, independently arrived at.

scholarly journals THE THICKNESS OF SCHUBERT CELLS AS INCIDENCE STRUCTURES

2019 ◽  
Vol 109 (2) ◽  
pp. 145-156
Author(s):  
JOHN BAMBERG ◽  
ARUN RAM ◽  
JON XU
Keyword(s):  
Representation Theory ◽  
Lattice Theory ◽  
Finite Geometry ◽  
Point Of View ◽  
Short Paper ◽  
Flag Varieties ◽  
Modern Language ◽  
Incidence Structures ◽  
Theory Point

This paper explores the possible use of Schubert cells and Schubert varieties in finite geometry, particularly in regard to the question of whether these objects might be a source of understanding of ovoids or provide new examples. The main result provides a characterization of those Schubert cells for finite Chevalley groups which have the first property (thinness) of ovoids. More importantly, perhaps this short paper can help to bridge the modern language barrier between finite geometry and representation theory. For this purpose, this paper includes very brief surveys of the powerful lattice theory point of view from finite geometry and the powerful method of indexing points of flag varieties by Chevalley generators from representation theory.

RHYNCHOLITES AND THE PROBLEM OF NARROW AND BROAD CONCEPTION OF TAXONS

2018 ◽  
pp. 12-17 ◽  
Author(s):  
I. R. Khuzina ◽  
V. N. Komarov
Keyword(s):  
Sexual Dimorphism ◽  
Morphological Characteristics ◽  
Mass Scale ◽  
Individual Variability ◽  
Point Of View ◽  
The Other ◽  
New Taxon ◽  
Artificial System ◽  
Broad Understanding

The paper considers a point of view, based on the conception of the broad understanding of taxons. According to this point of view, rhyncholites of the subgenus Dentatobeccus and Microbeccus are accepted to be synonymous with the genus Rhynchoteuthis, and subgenus Romanovichella is considered to be synonymous with the genus Palaeoteuthis. The criteria, exercising influence on the different approaches to the classification of rhyncholites, have been analyzed (such as age and individual variability, sexual dimorphism, pathological and teratological features, degree of disintegration of material), underestimation of which can lead to inaccuracy. Divestment of the subgenuses Dentatobeccus, Microbeccus and Romanovichella, possessing very bright morphological characteristics, to have an independent status and denomination to their synonyms, has been noted to be unjustified. An artificial system (any suggested variant) with all its minuses is a single probable system for rhyncholites. The main criteria, minimizing its negative sides and proving the separation of the new taxon, is an available mass-scale material. The narrow understanding of the genus, used in sensible limits, has been underlined to simplify the problem of the passing the view about the genus to the other investigators and recognition of rhyncholites for the practical tasks.

LEGAL, MORAL AND ETHICAL SIDE OF THE OFFENSE, DISCREDITING HONOR EMPLOYEE THE PENAL SYSTEM

2020 ◽  
Vol 10 (2) ◽  
pp. 213-218
Author(s):  
OKSANA KOCHKINA ◽  
◽  
OLGA MARCHUK ◽  
Keyword(s):  
Point Of View ◽  
Professional Activity ◽  
Penal System ◽  
Moral Norms ◽  
Ethical Aspects ◽  
Self Assessment ◽  
Personal Qualities ◽  
Executive System ◽  
Correction System

The article examines the legal and moral and ethical aspects of a misdemeanor that discredits the honor of an employee of the criminal Executive system. The considered reason for dismissal has the main feature associated with the integration of legal and moral norms, which often raises a lot of questions about the attribution of a particular offense to this basis. Using the analysis of normative legal acts, the authors attempt to identify the signs that contribute to the separation of the studied grounds for dismissal from all their diversity. The classification of offenses that discredit the honor of an employee of the criminal Executive system is presented, which allows to systematize and organize the knowledge obtained about the considered grounds for dismissal. The analysis of a misdemeanor that defames the honor of an employee of the penal system from a moral and ethical position gives an understanding, first of all, that it does not have a clear regulation from the point of view of the law, but the consequences of committing such a misdemeanor are clearly legal. The concepts of “honor” and “dignity” are considered as ethical categories and are analyzed as personal qualities that are manifested in an employee of the penal correction system during the period of service. These categories in the behavior of a person or employee are manifested both externally (assessment from the outside) and internally (self-assessment). The article describes the value orientation of an employee of the criminal Executive system to ethical standards in professional activity, which is an integral part of the moral and ethical side of a misdemeanor that discredits the honor of an employee.

A Fatal Error of Locke’s?

2017 ◽  
Author(s):  
Galen Strawson
Keyword(s):  
Personal Identity ◽  
John Locke ◽  
A Priori ◽  
Point Of View ◽  
Radical Theory ◽  
Single Person

This chapter argues that the unqualified attribution of the radical theory to John Locke is mistaken if we are to take into account the fact that the theory allows for freaks like [Sₓ]. It first considers [I]-transfer without [P]-transfer—that is, [I]-transfer preserving personal identity—before discussing Locke's response to the idea that personal identity might survive [I]-transfer from an a priori point of view. It suggests that [I]-transfer is possible in such a way that the existence of a single Person [P₁] from t₁ to t₂ can successively (and non-overlappingly) involve the existence of two immaterial substances. It also explains how Locke's claim that [I]-transfer is possible opens up the possibility that it could go wrong, in such a way as to lead to injustice. Finally, it examines Locke's notion of “sensible creature,” which refers to a subject of experience who is a person.

REFLECTION OF THE CURRENT STATE OF PUBLICISTIC JOURNALISM GENRES IN THE SLOVAK MEDIA ENVIRONMENT

2020 ◽  
Author(s):  
Zuzana Kvetanová
Keyword(s):  
Discourse Analysis ◽  
Point Of View ◽  
Media Theory ◽  
Logical Analysis ◽  
Periodical Press ◽  
Media Environment ◽  
Current State ◽  
Journalistic Practice ◽  
Opinion Journalism

The submitted study addresses the topic of the current state of the opinion journalism and its genres in the Slovak periodical press. The author draws attention to the question of classification of the opinion journalism of a rational and emotional type from the genre categorization point of view and, simultaneously, reflects on its application in the present journalistic practice. This brings a certain rate of confrontation between the defined theoretical premises and their subsequent practical (non-)implementation. The main objective of the study is to clarify the presence of genres of analytical and literary opinion journalism stated by media theory in the environment of the Slovak periodicals. Presentation of the basic terminological axis and the related explication of journalism genres included in the opinion journalism constitute the secondary objectives of the paper. For the purposes of achieving the set objectives, the author uses methods of logical analysis of text in combination with discourse analysis. Similarly, she predicts the evident presence of the phenomenon of hybridization in the Slovak journalistic practice.

Reductionism and holism in the philosophy of medicine

2020 ◽  
pp. 66-74
Author(s):  
E. Zakablukovskiy
Keyword(s):  
Philosophy Of Medicine ◽  
Point Of View ◽  
Social Model ◽  
Macro Level ◽  
New Classification

The article highlights certain aspects of the discussion on the topic of reductionism vs. holism in the philosophy of medicine. Classic radical reductionism is defeated by the concept of emergence. The s.c. bio-medical point of view on a malady, despite its relevance and clear benefit, is not recognized as universal as its adherents may claim, and it yields to an integral psycho-bio-social model. The author introduces a new classification of holism (vitalistic, social and individualistic) and makes appropriate recommendations to clinicians. It is social holism at the macro level that has proven effective in combating the spread of COVID-19.

To the Question of the Classification Patterns of Social Stratification in the Countries of the World (Brief Overview of Some Concepts and Author’s Comment)

2020 ◽  
pp. 65-75
Author(s):  
S. N. Smirnov
Keyword(s):  
Social Sciences ◽  
Social Stratification ◽  
Legal Status ◽  
Scientific Literature ◽  
Point Of View ◽  
The World

The author considers the problems of typification of society. Some concepts of typification of social stratification models in different countries formulated and justified in historical and legal, historical, sociological, and economic scientific literature are reviewed. The circumstances that make it difficult to formulate universal concepts designed for application in the complex of social Sciences are identified. These circumstances include insufficient consideration of legal factors, including the position of the legislator, the specifics of the corporate legal status, and the characteristics of the mechanism for changing individual legal status. The author offers a variant of classification of society types from the point of view of legal registration of their structure. The possibility of distinguishing types such as consolidated companies and segmented companies is justified.

Chemical analysis: Information contribution of results

1991 ◽  
Vol 56 (3) ◽  
pp. 505-559 ◽  
Author(s):  
Karel Eckschlager
Keyword(s):  
Analytical Chemistry ◽  
Information Theory ◽  
Set Theory ◽  
Fuzzy Set Theory ◽  
Information Gain ◽  
Analytical Signal ◽  
Point Of View ◽  
System A ◽  
Review Analysis ◽  
Theory Point

In this review, analysis is treated as a process of gaining information on chemical composition, taking place in a stochastic system. A model of this system is outlined, and a survey of measures and methods of information theory is presented to an extent as useful for qualitative or identification, quantitative and trace analysis and multicomponent analysis. It is differentiated between information content of an analytical signal and information gain, or amount of information, obtained by the analysis, and their interrelation is demonstrated. Some notions of analytical chemistry are quantified from the information theory and system theory point of view; it is also demonstrated that the use of fuzzy set theory can be suitable. The review sums up the principal results of the series of 25 papers which have been published in this journal since 1971.

scholarly journals Phylogenetic relationships among accessions in Citrus and related genera based on the insertion polymorphism of the CIRE1 retrotransposon

2020 ◽  
Vol 5 (1) ◽  
pp. 243-251
Author(s):  
Akira Horibata ◽  
Tsuneo Kato
Keyword(s):  
Phylogenetic Relationships ◽  
Sweet Orange ◽  
Point Of View ◽  
Insertion Polymorphism ◽  
Navel Orange ◽  
Citrus Germplasm ◽  
Outgroup Species ◽  
Blood Orange

AbstractA total of 145 accessions of the genus Citrus and related genera, maintained in the Conservation Garden for Citrus Germplasm at the Experimental Farm of Kindai University, Yuasa, Wakayama, Japan, were examined for their phylogenetic relationships. The present classification was conducted using an inter-retrotransposon amplified polymorphism (IRAP) method based on the insertion polymorphism of a retrotransposon, CIRE1, identified in C. sinensis. The objective of this study was to evaluate the applicability of the IRAP method for citrus classification. The constructed dendrogram showed that the 145 accessions and two outgroup species were successfully classified into five major clades. A large number of C. sinensis accessions were divided into three traditional groups, navel orange, sweet orange, and blood orange, almost corresponding to the sub-clades in the dendrogram. Several other accessions belonging to the same species, and also many hybrid cultivars from crossbreeding, were localized into the respective sub-clades or near positions in the dendrogram. Several unclassified accessions could also be located in the dendrogram, suggesting novel relationships with other accessions. It was concluded that the IRAP method based on CIRE1 insertion polymorphism was suitable for the classification of citrus from a molecular point of view.

Sign in / Sign up

Export Citation Format

Share Document