scholarly journals Evolutoids of the Mixed-Type Curves

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Xin Zhao ◽  
Donghe Pei
Keyword(s):  
Mixed Type ◽  
Minkowski Plane ◽  
Singular Points ◽  
Regular Curve ◽  
Type Curve ◽  
Type Curves ◽  
Definition Of ◽  
Relationship Of ◽  
Lightlike Vector ◽  
The Relationship

The evolutoid of a regular curve in the Lorentz-Minkowski plane ℝ 1 2 is the envelope of the lines between tangents and normals of the curve. It is regarded as the generalized caustic (evolute) of the curve. The evolutoid of a mixed-type curve has not been considered since the definition of the evolutoid at lightlike point can not be given naturally. In this paper, we devote ourselves to consider the evolutoids of the regular mixed-type curves in ℝ 1 2 . As the angle of lightlike vector and nonlightlike vector can not be defined, we introduce the evolutoids of the nonlightlike regular curves in ℝ 1 2 and give the conception of the σ -transform first. On this basis, we define the evolutoids of the regular mixed-type curves by using a lightcone frame. Then, we study when does the evolutoid of a mixed-type curve have singular points and discuss the relationship of the type of the points of the mixed-type curve and the type of the points of its evolutoid.

scholarly journals Pedal Curves of the Mixed-Type Curves in the Lorentz-Minkowski Plane

Mathematics ◽  
2021 ◽  
Vol 9 (22) ◽  
pp. 2852
Author(s):  
Xin Zhao ◽  
Donghe Pei
Keyword(s):  
Fixed Point ◽  
Orthogonal Projection ◽  
Mixed Type ◽  
Minkowski Plane ◽  
Type Curve ◽  
Type Curves ◽  
Base Curve ◽  
Relationship Of ◽  
The Relationship ◽  
Pedal Curve

In this paper, we consider the pedal curves of the mixed-type curves in the Lorentz–Minkowski plane R12. The pedal curve is always given by the pseudo-orthogonal projection of a fixed point on the tangent lines of the base curve. For a mixed-type curve, the pedal curve at lightlike points cannot always be defined. Herein, we investigate when the pedal curves of a mixed-type curve can be defined and define the pedal curves of the mixed-type curve using the lightcone frame. Then, we consider when the pedal curves of the mixed-type curve have singular points. We also investigate the relationship of the type of the points on the pedal curves and the type of the points on the base curve.

Evolutes of the (n,m)-cusp mixed-type curves in the Lorentz–Minkowski plane

2020 ◽  
Vol 18 (01) ◽  
pp. 2150001
Author(s):  
Xin Zhao ◽  
Tongchang Liu ◽  
Donghe Pei ◽  
Cuilian Zhang
Keyword(s):  
Mixed Type ◽  
Minkowski Plane ◽  
Regular Curve ◽  
Type Curves ◽  
Base Curve

The evolute of a regular curve in the Lorentz–Minkowski plane is given by the locus of centers of osculating pseudo-circle of the base curve. But the case when a curve has singularities is not very clear. In this paper, we use lightcone frame to define the [Formula: see text]-cusp mixed-type curves and their evolutes in Lorentz–Minkowski plane. In order to attain this goal, we define the [Formula: see text]-cusp non-lightlike curves and their evolutes in Lorentz–Minkowski plane first. Then we study the behaviors of the evolutes of the [Formula: see text]-cusp mixed-type curves at the [Formula: see text]-cusp.

scholarly journals Serum IGF1, metabolic syndrome, and incident cardiovascular disease in older people: a population-based study

2013 ◽  
Vol 168 (3) ◽  
pp. 393-401 ◽  
Author(s):  
Christa C van Bunderen ◽  
Mirjam M Oosterwerff ◽  
Natasja M van Schoor ◽  
Dorly J H Deeg ◽  
Paul Lips ◽  
...  
Keyword(s):  
Metabolic Syndrome ◽  
Older People ◽  
Population Based ◽  
Mortality Data ◽  
The Metabolic Syndrome ◽  
Longitudinal Aging Study Amsterdam ◽  
Aging Study ◽  
Definition Of ◽  
Relationship Of ◽  
The Relationship

ObjectiveHigh as well as low levels of IGF1 have been associated with cardiovascular diseases (CVD). The relationship of IGF1 with (components of) the metabolic syndrome could help to clarify this controversy. The aims of this study were: i) to investigate the association of IGF1 concentration with prevalent (components of) the metabolic syndrome; and ii) to examine the role of (components of) the metabolic syndrome in the relationship between IGF1 and incident CVD during 11 years of follow-up.MethodsData were used from the Longitudinal Aging Study Amsterdam, a cohort study in a representative sample of the Dutch older population (≥65 years). Data were available in 1258 subjects. Metabolic syndrome was determined using the definition of the US National Cholesterol Education Program Adult Treatment Panel III. CVD were ascertained by self-reports and mortality data.ResultsLevels of IGF1 in the fourth quintile were associated with prevalent metabolic syndrome compared with the lowest quintile (odds ratio: 1.59, 95% confidence interval (CI) 1.09–2.33). The middle up to the highest quintile of IGF1 was positively associated with high triglycerides in women. Metabolic syndrome was not a mediator in the U-shaped relationship of IGF1 with CVD. Both subjects without the metabolic syndrome and low IGF1 levels (hazard ratio (HR) 1.75, 95% CI 1.12–2.71) and subjects with the metabolic syndrome and high IGF1 levels (HR 2.28, 95% CI 1.21–4.28) demonstrated increased risks of CVD.ConclusionsIn older people, high-normal IGF1 levels are associated with prevalent metabolic syndrome and high triglycerides. Furthermore, this study suggests the presence of different pathomechanisms for both low and high IGF1 levels and incident CVD.

On the Very Idea of Civilisation

2021 ◽  
Vol 31 (2) ◽  
pp. 307-321
Author(s):  
Luke O’Sullivan ◽  
Keyword(s):  
Technological Development ◽  
Thomas Hobbes ◽  
Alternative Definition ◽  
Starting Point ◽  
Western Imperialism ◽  
Clash Of Civilisations ◽  
Definition Of ◽  
Contemporary Liberalism ◽  
Relationship Of ◽  
The Relationship

The concept of civilisation is a controversial one because it is unavoidably normative in its implications. Its historical associations with the effort of Western imperialism to impose substantive conditions of life have made it difficult for contemporary liberalism to find a definition of “civilization” that can be reconciled with progressive discourse that seeks to avoid exclusions of various kinds. But because we lack a way of identifying what is peculiar to the relationship of civilisation that avoids the problem of domination, it has tended to be conflated with other ideas. Taking Samuel Huntington's idea of a “Clash of Civilisations” as a starting point, this article argues that we suffer from a widespread confusion of civilisation with “culture,” and that we also confuse it with other ideas including modernity and technological development. Drawing on Thomas Hobbes, the essay proposes an alternative definition of civilisation as the existence of limits on how we may treat others.

Antitrust compliance: system standardization issues

2021 ◽  
pp. 8-16
Author(s):  
V. V. Soloviev, ◽  
S. V. Yushkin ◽  
S. V. Maksimov*
Keyword(s):  
Law Enforcement ◽  
National Standard ◽  
Federal Law ◽  
Economic Entity ◽  
Effective System ◽  
The Russian Federation ◽  
Definition Of ◽  
Relationship Of ◽  
The Relationship ◽  
General Compliance

The article examines the etymology and prehistory of the introduction of the institution of antimonopoly compliance in Russian business practice, the relationship of this institution with the institution of general compliance. The article considers the definition of the concept of antimonopoly compliance, enshrined in the new article 91 of the Federal Law "On Protection of Competition".The authors propose their own definition of the concept of antimonopoly compliance as an activity of an economic entity aimed at ensuring compliance with antimonopoly legislation by employees of an economic entity and an economic entity as a whole by preventing and suppressing violations of the requirements of such legislation and regulatory legal and law enforcement acts based on it.The authors also substantiate the advisability of developing a special national standard GOST R "System of internal compliance with the requirements of antimonopoly legislation (antimonopoly compliance system) of an economic entity".It is noted that the effectiveness of the antimonopoly compliance system will depend not only on the ability of an economic entity to form an antimonopoly compliance system on the basis of an appropriate national standard, but also on the state's ability to determine and guarantee effective incentives to comply with antimonopoly legislation.The authors substantiate the advisability of supplementing the Code of Administrative Offenses of the Russian Federation with provisions that provide for the obligation and limits to reduce the amount of punishment or replace the punishment with a softer one in the event of an anticompetitive administrative offense by a person who has implemented an effective system of antimonopoly compliance.

scholarly journals Some Arguments about the Benefits of Applying the System of Civil Procedure Law in Civil Proceedings

2020 ◽  
pp. 060-066
Author(s):  
A. D. Zolotukhin ◽  
◽  
L. A. Volchihina ◽  
Keyword(s):  
Positive Result ◽  
Civil Procedure ◽  
Legal Norms ◽  
Legal Proceedings ◽  
Procedural Law ◽  
Civil Proceedings ◽  
Definition Of ◽  
Relationship Of ◽  
The Relationship

On the basis of research, the structure of civil procedural law is defined as a system rather than an elementary set of legal norms and institutions. Determining the significance of the system of civil procedural law, it was concluded that having individuality, such a structure is one of the features that distinguish civil procedural law from other branches of law. The authors also come to the conclusion that the established properties of the system of civil procedural law, such as unity, interconnection (interaction) and independence of application, determine the possibility of applying individual elements of the structure of the system of civil procedural law, when considering substantive situations as an independent both individually and collectively. This ensures the possibility of obtaining the required positive result and characterizes it as universal. Critically examining various concepts, the authors offer their own definition of the concept of the system of civil procedural law. The conclusion is also made about the relationship of the system of civil procedural law with the principles of civil procedural law and the procedural form of civil legal proceedings.

scholarly journals LEGAL AXIOMS: APPROACHES TO UNDERSTANDING

2020 ◽  
Vol 1 (9) ◽  
pp. 8-12
Author(s):  
Inna Zelenko ◽  
Keyword(s):  
Legal Regulation ◽  
Complex Phenomenon ◽  
Legal Principles ◽  
Common Features ◽  
The Third ◽  
Legal Science ◽  
The Difference ◽  
Definition Of ◽  
Relationship Of ◽  
The Relationship

The article reflects the diversity of views on the concept of "legal axiom". It is clarified that there are lawyers who deny the existence of the concept of "axiom" in law. It is presented that some scholars identify legal axioms with legal customs in terms of content, formulation and existence, as well as methods of provision. It is revealed that legal axioms have common features and differences with legal presumptions. It is emphasized that the legal presumption and legal axiom are understood as true without evidence. It is considered that the difference between a legal presumption and a legal axiom lies in the difference of circumstances: they allow to consider them plausible; possibilities (impossibilities) of refutation; significance, content and form It is demonstrated that there are several approaches to the relationship of legal axioms with the principles of law. It has been found that the first group of scholars identify the principles of law and axioms. Attention is drawn to the fact that the second group of scholars notes that axioms are prerequisites for the principles of law. It is presented that the representatives of the third group distinguish between the concepts of principles of law and legal axioms. It has been shown that the complex interrelationships of principles and axioms are reflected in their dialectical unity, their ability to pass from one to another, and the disclosure of one phenomenon through another. It is noted that axioms are subject to change, so axioms and presumptions are closely interrelated and under certain conditions can replace each other. The definition of legal axioms has been further considered. Legal axioms are a multifaceted complex phenomenon of legal reality related to law, legal awareness and legal science. regularities, properties of special legal principles of law and serve to simplify legal regulation.

scholarly journals The first Russian nomenclature of diseases and diagnostics of causes of death in the XIX century: a particular case

2018 ◽  
Vol 2 (4) ◽  
pp. 1-46
Author(s):  
Irina Troitskaia ◽  
Alexander Avdeev
Keyword(s):  
Causes Of Death ◽  
Local Population ◽  
Medical Society ◽  
Information Base ◽  
Moscow Province ◽  
Medical Institutions ◽  
Definition Of ◽  
Xix Century ◽  
Relationship Of ◽  
The Relationship

The purpose of this article is to analyze changes in the diagnosis of causes of death of the local population and to study the relationship of these changes with the development of medicine and unification of the definition of causes of death in Russia. The information base of the study is the registers of the two parishes in the Moscow County in the period from 1815 to 1918. The obtained results show a significant improvement in the diagnosing of causes of death in the second half of the XIX century, connected with the expansion of the network of medical institutions in the Moscow Province and the activity of the medical society in the development of the Russian nomenclature of diseases.

Legal change for child health: Report on a conference

PEDIATRICS ◽  
1977 ◽  
Vol 60 (2) ◽  
pp. 251-253
Author(s):  
Henry M. Seidel
Keyword(s):  
Middle Ages ◽  
Children And Youth ◽  
Frank Lloyd Wright ◽  
Conference Participant ◽  
Health Report ◽  
Points Of View ◽  
Definition Of ◽  
Relationship Of ◽  
The Relationship

"Physically and politically powerless, children have always gotten the short end of the stick. In earlier times, the surplus, especially females, were legally and deliberately killed; in the Middle Ages and until recently children were chattels; in Dickensian England they starved in workhouses or were exploited as beggars a la Oliver Twist...." Louise Raggio, Conference Participant The building Frank Lloyd Wright called Wingspread served as the setting for a discussion concerning the relationship of the health of the young to their legal needs and the role of the pediatrician in these regards. Men and women from medicine, the law, and social work shared their points of view, seeking a firm definition of advocacy for children, attempting to highlight some manageable priorities among the legal needs so that pediatricians might move to a partnership with others in the community which might facilitate access to a better life for all children and youth.

Dostoevsky and the Word “Jew”: A Quantitative Analysis of F.M. Dostoevsky’s Greatest Novels

Libri ◽  
2022 ◽  
Vol 0 (0) ◽  
Author(s):  
Yigal Nirenberg ◽  
Gila Prebor
Keyword(s):  
Quantitative Analysis ◽  
Digital Humanities ◽  
Close Reading ◽  
Distant Reading ◽  
Anti Semitism ◽  
Research Questions ◽  
Definition Of ◽  
Great Writer ◽  
Relationship Of ◽  
The Relationship

Abstract The relationship of F.M Dostoevsky with Jews attracted the attention of numerous scholars throughout the years, many of whom attempted to grapple with the views of the great writer and their origin. In this article we will attempt to show this relationship by analyzing six of Dostoevsky’s greatest novels, written through the entirety of his career. We are analyzing these novels using Distant Reading in conjunction with Close Reading, tools that are commonly used in the field of digital humanities, which enabled us to show visually the extent of F.M. Dostoevsky’s engagement with this topic. The study poses two research questions: 1. To what extent did the writer use the more denigrating term “Zhid”? 2. Can we see a correlation between the writer’s portrayal of Jews with the definition of Anti-Semitism as it was known during his era? The obtained results show that there is clearly a correlation between the definition of anti-Semitism as it was understood at the time of Dostoevsky and the “Jew” as depicted in his novels, as the financial motif is paramount in the depiction of Jews as this is the central topic in 49% of the negative sentences in which the word “Jew” appears, with 59% of these sentences classified as stereotypes. The negative financial stereotype constitutes 32% of the entire corpus. In addition, we found the term “Zhid” is commonly used by the writer, a variation of which constitutes 75% of the total terms used to depict Jews.

Sign in / Sign up

Export Citation Format

Share Document