Elaboration of a statement on the degree of generality of a property: Poincaré’s work on the recurrence theorem

2017 ◽  
Author(s):  
Anne Robadey
Keyword(s):  
New Type ◽  
Recurrence Theorem ◽  
Definition Of ◽  
Almost All ◽  
Made In

This article examines the statement that a property is true for ‘almost all’ considered objects, in a precise mathematical sense, by referring to Henri Poincaré’s reflections on the generality of recurring trajectories. In 1890, Poincaré introduces a statement of a new type in which he formulates mathematically the remark that he had previously made in vague terms: ‘the trajectories that have this property [of stability, AR] are more general than those that do not’. This article first considers how Poincaré adapts the calculus of probability to show that the non-recurring trajectories are exceptional before analyzing the proofs of the recurrence theorem and the corollary that Poincaré added to the theorem. It also discusses the change of status of the recurrence theorem between 1889 and 1891 and suggests that the confinement inside the trajectory surfaces seemed to be the key property for the definition of stability.

scholarly journals Digital governmentality: Participatory governance vs. biopolitics

2020 ◽  
Vol 16 (4) ◽  
pp. 462-473
Author(s):  
Olga Ignatjeva ◽  
Keyword(s):  
Political Power ◽  
The Political ◽  
Participatory Governance ◽  
Public Governance ◽  
Digital Platforms ◽  
Collège De France ◽  
New Type ◽  
Multiple Meanings ◽  
Definition Of ◽  
Made In

The notion of governmentality was first used by the French postmodern philosopher Michel Foucault during his lectures at the College de France in 1978-1979. The term is one of the characteristics of political power, along with sovereignty and discipline, but it characterizes its later stages of evolution. Foucault and his commentators give multiple meanings to this term, but perhaps the most accurate ones are the definition of governmentality as a way of rational thinking about the realization of political power and governmentality as the art of government. The emergence of governmentality is associated with the emergence of political economy and implies the use of biopolitical techniques, a concept that Foucault introduces to emphasize the need for socio-hu- manitarian knowledge in disciplining the “political body”. Evolution and peculiarities of biopolitics are discussed in detail in this article in relation to each type of governmentality. This article examines three types of governmentality (liberalism, authoritarianism, neoliberalism) introduced by the French thinker and proposes considering a new type of governmentality that characterizes the modern stage of society’s development. Here we use a governmentality concept as a methodological instrument for analysis of a new type of governance. The author notes that digital governmentality is characterized by governance using digital platforms. The article provides a detailed description of the architecture of one such platforms, as well as a set of algorithms that will mediate the interaction between the population and government representatives. The purpose of this article is to identify the essence of digital governmentality and its nature. Is the emerging form of public governance through digital platforms, as a consequence of its digitalization, demo- cratic and participatory, or is it still a more sophisticated way of governing the population using manipulative, biopolitical strategies? An attempt to answer this question is made in the article by considering both the evolution of the term governmentality itself and the technological features of digital platforms with their interpretation based on Michel Foucault’s concept.

Complex lag synchronization of two identical chaotic complex nonlinear systems

Open Physics ◽  
2014 ◽  
Vol 12 (1) ◽  
Author(s):  
Emad Mahmoud ◽  
Kholod Abualnaja
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Chaotic Attractors ◽  
State Variables ◽  
Lag Synchronization ◽  
Phase Errors ◽  
New Type ◽  
Complex Nonlinear Systems ◽  
Definition Of ◽  
Made In

AbstractMuch progress has been made in the research of synchronization for chaotic real or complex nonlinear systems. In this paper we introduce a new type of synchronization which can be studied only for chaotic complex nonlinear systems. This type of synchronization may be called complex lag synchronization (CLS). A definition of CLS is introduced and investigated for two identical chaotic complex nonlinear systems. Based on Lyapunov function a scheme is designed to achieve CLS of chaotic attractors of these systems. The effectiveness of the obtained results is illustrated by a simulation example. Numerical results are plotted to show state variables, modulus errors and phase errors of these chaotic attractors after synchronization to prove that CLS is achieved.

Auto Markets in the World and Strategy of Japan’s Companies

2019 ◽  
Vol 10 (10) ◽  
pp. 1003-1008
Author(s):  
Hiroyuki Matsuoka ◽  
Keyword(s):  
Saudi Arabia ◽  
Electric Vehicle ◽  
New Technologies ◽  
Auto Industry ◽  
Domestic Market ◽  
Automatic Driving ◽  
The World ◽  
Almost All ◽  
Made In

In the world auto market, top three companies are VW(Volkswagen), Runault-Nissan-Mistubishi, and Toyota. About some selected countries and areas, China, England, Italy, Australia, Germany, Turkey, Russia, Sweden, USA, Brazil, UAE, Japan, Vietnam and Thailand are more competitive. However, the situation is different. Seeing monopolistic market countries and areas, Saudi Arabia, Taiwan, Korea, Malaysia, France, India, and Pakistan, in particular, the influence of Japan to Taiwan, India, and Pakistan is very big. But in Korea and France, their own companies’ brands occupy the market. In Japan domestic market, the overall situation is competitive. Almost all vehicles made in Japan are Japanese brand. From now on, we have to note the development of electric vehicle (EV) and other new technologies such as automatic driving and connected car. That is because they will give a great impact on the auto industry and market of Japan. Now Japan’s auto industry is going to be consolidated into three groups, Honda, Toyota group, and Renault-Nissan-Mitsubishi group for seeking the scale merit of economy. Therefore, I will pay attention to the worldwide development of EV and other new technologies and the reorganization of auto companies groups.

Need of Human Rights as a Better Way of Life

Think India ◽  
2019 ◽  
Vol 22 (3) ◽  
pp. 72-83
Author(s):  
Tushar Kadian
Keyword(s):  
Human Rights ◽  
Basic Needs ◽  
Research Paper ◽  
Human Being ◽  
Way Of Life ◽  
Labour Unions ◽  
The People ◽  
The Subject ◽  
Definition Of ◽  
Made In

Actually, basic needs postulates securing of the elementary conditions of existence to every human being. Despite of the practical and theoretical importance of the subject the greatest irony is non- availability of any universal preliminary definition of the concept of basic needs. Moreover, this becomes the reason for unpredictability of various political programmes aiming at providing basic needs to the people. The shift is necessary for development of this or any other conception. No labour reforms could be made in history till labours were treated as objects. Its only after they were started being treating as subjects, labour unions were allowed to represent themselves in strategy formulations that labour reforms could become a reality. The present research paper highlights the basic needs of Human Rights in life.

scholarly journals Fixed Point of Interpolative Rus–Reich–Ćirić Contraction Mapping on Rectangular Quasi-Partial b-Metric Space

Symmetry ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 32
Author(s):  
Pragati Gautam ◽  
Luis Manuel Sánchez Ruiz ◽  
Swapnil Verma
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Real Number ◽  
Metric Space ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Rectangular Metric Space ◽  
New Type ◽  
Symmetry Requirement ◽  
Definition Of

The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition of the rectangular metric space defined by Branciari. Here, we obtain a fixed point theorem for interpolative Rus–Reich–Ćirić contraction mappings in the realm of rectangular quasi-partial b-metric spaces. Furthermore, an example is also illustrated to present the applicability of our result.

scholarly journals Coronavirus and Soft Law in Germany: Business as Usual?

2021 ◽  
pp. 1-17
Author(s):  
Matthias Knauff
Keyword(s):  
Legal Order ◽  
Soft Law ◽  
Constitutional Order ◽  
Binding Forms ◽  
Almost All ◽  
Business As Usual ◽  
Shed Light ◽  
Made In

In combating the coronavirus pandemic in Germany, soft law has played an important, albeit not a central, role. Its use basically corresponds to that of under “normal circumstances”. In accordance with the German constitutional order, almost all substantial decisions are made in a legally binding form. However, these are often prepared through or supplemented by soft law. This article shows that soft law has played an important role in fighting the pandemic and its effects in Germany, although there cannot be any doubt that legally binding forms of regulation have prevailed. At the same time, the current pandemic has shed light on the advantages and effects of soft law in the context of the German legal order.

scholarly journals Frege’s puzzle and the ex ante Pareto principle

2020 ◽  
Author(s):  
Anna Mahtani
Keyword(s):  
Policy Choice ◽  
Choice Situation ◽  
Pareto Principle ◽  
Social Situations ◽  
Central Importance ◽  
Ex Ante ◽  
Definition Of ◽  
Almost All ◽  
Rational Behaviour ◽  
Fixed Population

Abstract The ex ante Pareto principle has an intuitive pull, and it has been a principle of central importance since Harsanyi’s defence of utilitarianism (to be found in e.g. Harsanyi, Rational behaviour and bargaining equilibrium in games and social situations. CUP, Cambridge, 1977). The principle has been used to criticize and refine a range of positions in welfare economics, including egalitarianism and prioritarianism. But this principle faces a serious problem. I have argued elsewhere (Mahtani, J Philos 114(6):303-323 2017) that the concept of ex ante Pareto superiority is not well defined, because its application in a choice situation concerning a fixed population can depend on how the members of that population are designated. I show in this paper that in almost all cases of policy choice, there will be numerous sets of rival designators for the same fixed population. I explore two ways that we might complete the definition of ex ante Pareto superiority. I call these the ‘supervaluationist’ reading and the ‘subvaluationist’ reading. I reject the subvaluationist reading as uncharitable, and argue that the supervaluationist reading is the most promising interpretation of the ex ante Pareto principle. I end by exploring some of the implications of this principle for prioritarianism and egalitarianism.

Defining hormesis: the necessary tool to clarify experimentally the low dose–response relationship

2002 ◽  
Vol 21 (2) ◽  
pp. 103-104 ◽  
Author(s):  
G Carelli ◽  
I Iavicoli
Keyword(s):  
Dose Response ◽  
Low Dose ◽  
Experimental Models ◽  
Assessment Criteria ◽  
Response Relationship ◽  
Dose Response Relationship ◽  
Specific Context ◽  
Definition Of ◽  
Time Specific ◽  
Made In

The authors comment on Calabrese and Baldwin's paper ‘Defining Hormesis’, which, to date, is the first attempt to provide a definition of hormesis that goes beyond the different interpretations of this phenomenon reported in the literature. While appreciating the effort made in this study to place hormesis in a general and at the same time specific context, the authors believe some clarifications are needed as regards the quantitative features of this phenomenon. In this connection, they speculate on whether Calabrese and Baldwin think it appropriate to include hormesis assessment criteria in the document, referring in particular to those reported in a previous paper. The authors share Calabrese and Baldwin's conclusion that future experimental models designed to study hormetic phenomena must necessarily include the time factor, which not only guarantees this phenomenon will be detected, but is also able to detect the specific type of hormesis.

The construction of units in conversational talk

2000 ◽  
Vol 29 (4) ◽  
pp. 477-517 ◽  
Author(s):  
MARGRET SELTING
Keyword(s):  
Conversation Analysis ◽  
Activity Type ◽  
Seminal Work ◽  
Conversational Context ◽  
Linguistic Unit ◽  
Definition Of ◽  
Made In

The notion of Turn-Constructional Unit (TCU) in Conversation Analysis has become unclear for many researchers. The underlying problems inherent in the definition of this notion are here identified, and a possible solution is suggested. This amounts to separating more clearly the notions of TCU and Transition Relevance Place (TRP). In this view, the TCU is defined as the smallest interactionally relevant complete linguistic unit, in a given context, that is constructed with syntactic and prosodic resources within their semantic, pragmatic, activity-type-specific, and sequential conversational context. It ends in a TRP unless particular linguistic and interactional resources are used to project and postpone the TRP to the end of a larger multi-unit turn. This suggestion tries to spell out some of the assumptions that the seminal work in CA made in principle, but never formulated explicitly.

Symbolic Macroconcept of the Universe in the Aspect of the First Cognitive Sign in Russian Linguoculture

2021 ◽  
Vol 16 (1) ◽  
pp. 92-101
Author(s):  
Marina V. Pimenova ◽  
◽  
Aigul A. Bakirova ◽  
Keyword(s):  
Middle Part ◽  
Russian Language ◽  
The World ◽  
Symbolic Meanings ◽  
New Type ◽  
Human World ◽  
Internal Volume ◽  
Definition Of ◽  
Universe Structure ◽  
The Universe

The article analyzes the cognitive signs of the macroconcept universe in Russian linguoculture. The relevance of the research is determined by the prospect of studying a new type of mental structures - symbolic macroconcepts. The purpose of the article is to describe the specifics of the macroconcept universe structure formation from the standpoint of the definition of syncretic primordial signs. The main methods in the work are the historical and etymological analysis of the studied macroconcept representative, descriptive and interpretive methods. During the study, seven motivating signs of the macroconcept universe were noted: 'earth', 'live', ‘world’，‘inhabit’，‘inhabited’，‘settlement’，‘light’. All identified motivating signs are syncretic symbolic primordial signs 'house' (conceptum, according to V. V. Kolesov). Motivating signs express two main symbolic meanings of Russian linguoculture: home is a place where people live, settle; home is the world of people and all living beings, this world-light (unlike that world-light where the souls of the dead go: that world-light is located in the sky), it is built on earth. The macroconcept universe is objectified by erased metaphors of a closed space (in particular, the metaphor of a key), which has an internal volume, center-middle, limits, parts, edges, corners, people live in this house, they live and exist in it, it is inhabited and settle down in Russian linguoculture. The model of the universe in the Russian language picture of the world is three-parted: the middle part in it represents the human world, in which the principle of anthropocentrism is manifested - a person measures space and chooses himself as a reference point. The syncretic primary sign ‘house’ unites in itself all the motivating signs of the studied macroconcept, keeping their relevance to our days. Keywords: macroconcept, motivating signs, first sign, language picture of the world, linguoculture, comparative studies

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