On the regularity of surfaces

1934 ◽  
Vol 30 (1) ◽  
pp. 4-14 ◽  
Author(s):  
L. Roth
Keyword(s):  
General Theory ◽  
Dimensional Case ◽  
Normal Space ◽  
Sectional Genus ◽  
Unpublished Manuscript ◽  
The Subject

The general theory of surfaces has been developed without much attention to the simpler aspects of the subject and, in particular, to the problem of determining some elementary criteria of regularity or referability; there is, in fact, only one well-known criterion of this kind, due to Castelnuovo and Enriques. (Theorem 2 of the present work.) It seems desirable, therefore, to establish some tests which require no more knowledge of a surface than its order, sectional genus and normal space. A number of such tests is given in the present paper. Before it was written the author had the advantage of consulting an unpublished manuscript by Professor Comessatti on the classification of surfaces in S4; in this work the regularity of surfaces of order eight is considered and, in part, those of order nine; the four-dimensional case of Theorem 11 and a particular case of Theorem 6 and Theorem 14 are given. Theorems 4 and 5 are also proved by Comessatti. For permission to publish these results and for the help derived from them the author's grateful thanks are due.

The Economic Theory of the Firm: A Generalization

2012 ◽  
pp. 41-66 ◽  
Author(s):  
M. Storchevoy
Keyword(s):  
Economic Theory ◽  
General Theory ◽  
Contract Theory ◽  
Theory Of The Firm ◽  
Material Structure ◽  
Structural Factors ◽  
Boundaries Of The Firm ◽  
Opportunistic Behaviour ◽  
New Variant

The paper deals with development of a general theory of the firm. It discusses the demand for such a theory, reviews existing approaches to its generalization, and offers a new variant of general theory of the firm based on the contract theory. The theory is based on minimization of opportunistic behaviour determined by the material structure of production (a classification of ten structural factors is offered). This framework is applied to the analysis of three boundaries problems (boundaries of the job, boundaries of the unit, boundaries of the firm) and five integration dilemmas (vertical, horizontal, functional, related, and conglomerate).

СОЦИАЛЬНАЯ КОНФЛИКТОЛОГИЯ: ТЕОРЕТИКО-ИСТОРИЧЕСКИЙ АСПЕКТ

2020 ◽  
Vol 15 (2) ◽  
pp. 68
Author(s):  
А. Н. Сухов
Keyword(s):  
Theory And Practice ◽  
Important Task ◽  
Social Conflicts ◽  
Psychological Approach ◽  
Structure Dynamics ◽  
History Of ◽  
The Subject ◽  
First Time

This given article reveals the topicality not only of destructive, but also of constructive, as well as hybrid conflicts. Practically it has been done for the first time. It also describes the history of the formation of both foreign and domestic social conflictology. At the same time, the chronology of the development of the latter is restored and presented objectively, in full, taking into account the contribution of those researchers who actually stood at its origins. The article deals with the essence of the socio-psychological approach to understanding conflicts. The subject of social conflictology includes the regularities of their occurrence and manifestation at various levels, spheres and conditions, including normal, complicated and extreme ones. Social conflictology includes the theory and practice of diagnosing, resolving, and resolving social conflicts. It analyzes the difficulties that occur in defining the concept, structure, dynamics, and classification of social conflicts. Therefore, it is no accident that the most important task is to create a full-fledged theory of social conflicts. Without this, it is impossible to talk about effective settlement and resolution of social conflicts. Social conflictology is an integral part of conflictology. There is still a lot of work to be done, both in theory and in application, for its complete design. At present, there is an urgent need to develop conflict-related competence not only of professionals, but also for various groups of the population.

A Comparison of Mortality and Sickness in Relation to Geographical and Socio-Economic Factors

1971 ◽  
Vol 97 (1) ◽  
pp. 17-67 ◽  
Author(s):  
R. H. Daw
Keyword(s):  
General Theory ◽  
Good Health ◽  
Acute Illness ◽  
Economic Factors ◽  
Clear Cut ◽  
External Agent ◽  
The Subject ◽  
The Dead ◽  
Socio Economic Factors

‘Suppose a man becomes ill, gets worse and dies. His death is instantaneous but the cause of his death—deterioration of health—may have been progressing for some time. Death takes place because his health has deteriorated beyond a certain limit.’ So wrote C. D. Rich (1940) in introducing his ‘General theory of mortality’ which can also be regarded as a theory of sickness, although Rich does not develop this aspect of it. The point in the gradual deterioration of health at which death takes place is unmistakable but the point at which sickness begins is hazy and ill defined, as also is the point at which recovery from sickness takes place when health is improving. As Stocks (1949) says ‘The distinction between the living and the dead is clear cut, but no such frontier line between sickness and health can be said to exist except in the case of acute illness caused immediately and directly by an external agent. There is a zone between the two states in which the decision whether the subject is sick or not depends on definitions or standards of good health and also on who decides.’

Latviešu metālmūzikas albumu nosaukumi

2021 ◽  
pp. 361-369
Author(s):  
Ingars Gusāns
Keyword(s):  
Current Situation ◽  
Creative Work ◽  
Distinctive Character ◽  
Literary Works ◽  
The Third ◽  
Metal Music ◽  
Local Character ◽  
The Subject ◽  
The Common

The aim of the study is to describe the titles of Latvian metal music albums, from the perspective of content, by identifying the common and distinctive character of the metallic music tradition, and perhaps even the local one. Of 241 album titles (data on Dec. 31, 2019), most are in English, some in French, Latin, Russian, some consisting of digits, and 69 titles in Latvian. These titles are the subject of the research. The main source is Encyclopaedia Metallum (www.metal-archives.com), which still does not reflect the current situation concerning Latvian metal music. Album titles in this study are viewed separately from album designs and song titles and are analysed from the perspective of content. The album title is an important part of the work that has been issued because it is an element that makes the audience/buyer pay attention to the album because it must not be forgotten that today the album is also an item that you want to sell. In general, it can be concluded that Latvian metal musicians, with their album titles in Latvian, are mostly following world trends, as evidenced by the integration in the researcher Deena Weinstein’s classification of Dionysian discourse and discourse on chaos. Most titles are more relevant to the discourse on chaos because the thematic circle of chaos is wider. Latvian mythology, along with history, is an up-to-date source for the creative work of bands that is responsible for the local feeling of the titles. A large enough number are titles that are difficult to fit in the Weinstein’s division and form the third group with philosophical titles and simply all sorts of titles. If the philosophical titles follow the world’s trends, the simple titles include the names of the events, tributes, and the titles of literary works, which give them a local character.

CLASSIFICATION OF RUSSIAN CULTURE-BOUND TERMS AND THEIR EQUIVALENTS BASED ON THE TRANSLATION OF “QUIET FLOWS THE DON” BY M. A. SHOLOKHOV

2020 ◽  
Vol 76 (4) ◽  
pp. 149-155
Author(s):  
SVETLANA S. UZHAKINA ◽  
Keyword(s):  
English Language ◽  
Great Influence ◽  
Political Life ◽  
Daily Routine ◽  
The Novel ◽  
Russian Culture ◽  
The Subject ◽  
Cultural Component ◽  
Historical Epoch

The classification of Russian culture-bound terms used in the novel “Quiet Flows the Don” by M. A. Sholokhov and in its translation into the English language. The novel “Quiet Flows the Don” by M.A. Sholokhov and its translation into English done by Robert Daglish have served as the source for the research of culture-bound terms. These terms have been classified on the basis of the subject division offered by S. Vlakhov and S. Florin. It is proved that the interest to the study of culture-bound terms is still important. The relevance of the research is determined by the fact that despite numerous research papers in this field the origin, classification and translation of these terms still need some investigation. The aim of the present study is to classify the culture-bound terms taken from the novel “Quiet Flows the Don” by M.A. Sholokhon and its translation into the English language. As a result, there have bben taken 407 samples of the lexical units with a cultural component which were classified according to the subject principal offered by S. Vlakhon and S. Florin. The culture-bound terms have a great influence on a foreign reader as they are cultural units that transmit the information of the daily routine and the historical epoch described in the novel. The culture-bound terms taken from the novel “Quiet Flows the Don” by M.A. Sholokhov and its translation are analyzed and classified. The division of the culture-bound terms according to the subject principal allowed to reveal that most terms refer to the daily routine, social and political life and military terms.

Mathematical aspects of molecular replacement. IV. Measure-theoretic decompositions of motion spaces

2017 ◽  
Vol 73 (5) ◽  
pp. 387-402 ◽  
Author(s):  
Gregory S. Chirikjian ◽  
Sajdeh Sajjadi ◽  
Bernard Shiffman ◽  
Steven M. Zucker
Keyword(s):  
General Theory ◽  
Rigid Body ◽  
Three Dimensional ◽  
Molecular Replacement ◽  
Translation Group ◽  
Common Occurrence ◽  
Space Group ◽  
Space Groups ◽  
Relevant Case ◽  
The Subject

In molecular-replacement (MR) searches, spaces of motions are explored for determining the appropriate placement of rigid-body models of macromolecules in crystallographic asymmetric units. The properties of the space of non-redundant motions in an MR search, called a `motion space', are the subject of this series of papers. This paper, the fourth in the series, builds on the others by showing that when the space group of a macromolecular crystal can be decomposed into a product of two space subgroups that share only the lattice translation group, the decomposition of the group provides different decompositions of the corresponding motion spaces. Then an MR search can be implemented by trading off between regions of the translation and rotation subspaces. The results of this paper constrain the allowable shapes and sizes of these subspaces. Special choices result when the space group is decomposed into a product of a normal Bieberbach subgroup and a symmorphic subgroup (which is a common occurrence in the space groups encountered in protein crystallography). Examples of Sohncke space groups are used to illustrate the general theory in the three-dimensional case (which is the relevant case for MR), but the general theory in this paper applies to any dimension.

scholarly journals VIII.—On the calcification of the vertebral centra in sharks and rays

1921 ◽  
Vol 210 (372-381) ◽  
pp. 311-407 ◽  
Keyword(s):  
Natural History ◽  
Research Laboratory ◽  
British Museum ◽  
Imperial College ◽  
Vertebral Centra ◽  
The Subject ◽  
Elasmobranch Fishes ◽  
Fossil State

In this paper are recorded the results of an investigation undertaken at the instance of Dr. A. Smith Woodward for the purpose of ascertaining to what extent the pattern presented by the calcified laminæ of the centrum is of value as an aid to the classification of Elasmobranch fishes, and to the identification of vertebræ found in the fossil state. The subject was dealt with exhaustively in 1879-1885 by Hasse, who, in his monograph ‘Das natürliche System der Elasmobranchier,’ claimed that the differences in the disposition of the calcified laminæ in the various genera and families of Elasmobranchs occur with such constancy and regularity that they may be accepted with confidence as an important factor in taxonomy. During the years, however, that have passed since the publication of this monograph the thesis has come to be looked upon with suspicion, and vertebrate morphologists at the present time do not, as a whole, regard Hasse’s definitions of the Cyclospondyli, Tectospondyli, and Asterospondyli as consistently applicable to the genera and species included by him within those groups. The material studied in the course of the investigation was to a large extent accumulated several years ago (see p. 313), and it was only the superior attraction of Cephalodiscus as a subject of research that prevented the work from being brought to an earlier conclusion. The examination of this accumulated material, and of that more recently acquired, was carried on in the Huxley Research Laboratory of the Imperial College of Science during the winter of 1917 and from May, 1919, to May, 1920, and I hereby acknowledge my great indebtedness to Prof. E. W. MacBride and the administrative officers of the College for the facilities offered there for the prosecution of the work. I have further to thank Prof. MacBride for frequent advice and for valuable suggestions made during the progress of the research. My thanks are also due, and are hereby tendered, to Dr. A. Smith Woodward and Mr. C. Tate Began, of the British Museum (Natural History), for many helpful hints and suggestions. Acknowledgments and thanks for material kindly furnished by various donors are recorded on p. 313.

scholarly journals Gene Selection in Cancer Classification Using Sparse Logistic Regression with L1/2 Regularization

2018 ◽  
Vol 8 (9) ◽  
pp. 1569 ◽  
Author(s):  
Shengbing Wu ◽  
Hongkun Jiang ◽  
Haiwei Shen ◽  
Ziyi Yang
Keyword(s):  
Logistic Regression ◽  
Gene Selection ◽  
Classification Performance ◽  
Cancer Classification ◽  
Sparse Logistic Regression ◽  
The Subject ◽  
Selection For ◽  
Microarray Datasets ◽  
Sparse Methods

In recent years, gene selection for cancer classification based on the expression of a small number of gene biomarkers has been the subject of much research in genetics and molecular biology. The successful identification of gene biomarkers will help in the classification of different types of cancer and improve the prediction accuracy. Recently, regularized logistic regression using the L 1 regularization has been successfully applied in high-dimensional cancer classification to tackle both the estimation of gene coefficients and the simultaneous performance of gene selection. However, the L 1 has a biased gene selection and dose not have the oracle property. To address these problems, we investigate L 1 / 2 regularized logistic regression for gene selection in cancer classification. Experimental results on three DNA microarray datasets demonstrate that our proposed method outperforms other commonly used sparse methods ( L 1 and L E N ) in terms of classification performance.

scholarly journals Emilio Betti: from the history of law to the general theory of interpretation

2020 ◽  
pp. 30-44
Author(s):  
Iuliia Rossius
Keyword(s):  
General Theory ◽  
Practical Importance ◽  
Dialectical Tension ◽  
History Of ◽  
History Of Law ◽  
The Subject ◽  
Theory Of Law ◽  
The Impact ◽  
Hans Georg Gadamer

The goal of this article consists in demonstration of the impact of research in the field of history and theory of law alongside the hermeneutics of Emilio Betti impacted the vector of this philosophical thought. The subject of this article is the lectures read by Emilio Betti (prolusioni) in 1927 and 1948, as well as his writings of 1949 and 1962. Analysis is conducted on the succession of Betti's ideas in these works, which is traced despite the discrepancy in their theme (legal and philosophical). The author indicates “legal” origin of the canons of Bettis’ hermeneutics, namely the canon of autonomy of the object. Emphasis is placed on the problem of objectivity in Betti's theory, as well as on dialectical tension between the historicity of the interpreted subject and strangeness of the object that accompanies legal, as well as any other type of interpretation. The article reveals the key moment of Betti's criticism of Hans-Georg Gadamer. Regarding the question of historicity of the subject of interpretation. The conclusion is made that the origin of the general theory of interpretation lies in the approaches and methods developed and implemented by Betti back in legal hermeneutics and in studying history of law.   Betti's philosophical theory was significantly affected by the idea on the role of modern legal dogma in interpretation of the history of law. Namely this idea that contains the principle of historicity of the subject of interpretation, which commenced  the general hermeneutical theory of Emilio Betti, was realized in canon of the relevance of understanding in the lecture in 1948, and later in the “general theory of interpretation”. The author also underlines that the question of objectivity of understanding, which has crucial practical importance in legal hermeneutics, was transmitted into the philosophical works of E. Betti, finding reflection in dialectic of the subject and object of interpretation.

scholarly journals Categorization and Conceptualization of Space in Descriptive Text

2020 ◽  
pp. 27-39
Author(s):  
Y. N. Varfolomeeva
Keyword(s):  
Frame Analysis ◽  
Sensory Systems ◽  
Spatial Relationships ◽  
Scientific Paradigm ◽  
Verb Classes ◽  
Lexical Semantic ◽  
The Subject ◽  
Psychological Knowledge ◽  
Spatial Semantics

The relevance of the article is due to the importance of studying spatial semantics in the new scientific paradigm. The possibility of studying genre varieties of description (description-landscape, description-interior, description-portrait, description of the subject) using frame analysis is indicated in the article. Considerable attention is paid to the classification of spatial verb description predicates. It is noted that the unflagging interest in verbal units in modern linguistics, with unsteady classification grounds, different numbers of distinguished verb classes and terminological differences in describing the object, indicates the need to compile a classification of verb predicates based on the principles of linguocognitology. The study of the semantics of verb predicates of descriptive text, the identification of integrating and differential seme, contributing to the isolation of various lexical-semantic groups of verb predicates and building the patterns implemented in the description of spatial relationships appears to be significant. The attention is focused on the need to integrate linguistic, physiological and psychological knowledge in the study of the predicative component of a descriptive text. Such integration is embodied in the idea of spatial discrimination through all sensory systems and the division of spatial predicates into units of visual, auditory, olfactory, tactile, taste and undifferentiated perception. It is established that in the case of using predicates of intermodal semantics, spatial significance is realized in terms of “proximity” / “remoteness” of the source objects of the corresponding sensations.

Sign in / Sign up

Export Citation Format

Share Document