Quadratic forms ‘à la’ local theory

1967 ◽  
Vol 63 (3) ◽  
pp. 579-586 ◽  
Author(s):  
A. Fröhlich
Keyword(s):  
Quadratic Forms ◽  
The Other ◽  
Local Theory ◽  
Real Numbers ◽  
The Real ◽  
Other Hand ◽  
Non Local ◽  
Characteristic 2 ◽  
The One ◽  
Adic Case

In this note (cf. sections 3, 4) I shall give an axiomatization of those fields (of characteristic ≠ 2) which have a theory of quadratic forms like the -adic numbers or like the real numbers. This leads then, for instance, to a generalization of the well-known theorems on -adic forms to a wider class of fields, including non-local ones. The main purpose of the exercise is, however, to separate out the roles of the arithmetic in the underlying field, on the one hand, which solely enters into the verification of the axioms, and of the ordinary algebra of quadratic forms on the other hand. The resulting clarification of the structure of the theory is of interest even in the known -adic case.

scholarly journals Transformation of the Banking Sector of Ukraine: Reasons and Consequences

2017 ◽  
Vol 1 (13) ◽  
pp. 33-48
Author(s):  
Myroslava Khutorna
Keyword(s):  
Economic Development ◽  
Banking Sector ◽  
Financial System ◽  
Market Concentration ◽  
The Other ◽  
Real Economy ◽  
The Real ◽  
Other Hand ◽  
The One

This paper is devoted to the consideration of the preconditions and results of the banking sector of Ukraine transforming, its influence on the sector’s productivity, stability and significance for the real economy. It’s grounded that banking sector of Ukraine has seriously weakened its potential for the economic development stimulation. On the one hand, due to the banking sector clearance from the bad and unscrupulous banks the system has become much more sensitive to the monetary instruments and its state is going to be more predictable and better controlled. But on the other hand, massive banks’ liquidations have caused the worsening of the confidence in financial system and radical increasing of the market concentration the highest degree of which is observed in the householders’ deposit market.

scholarly journals The Reality of Religious Ideals

1909 ◽  
Vol 2 (1) ◽  
pp. 58-72
Author(s):  
John E. Boodin
Keyword(s):  
Psychology Of Religion ◽  
Comparative Religion ◽  
The Other ◽  
The Real ◽  
Higher Criticism ◽  
Other Hand ◽  
Religious Ideals ◽  
The One ◽  
Deep Interest

Not the least significant fact of this great scientific age is its deep interest in religion. On the one hand, in spite of serious protests from the conservatives, science has established its right to apply the same method to the study of religion which has been of such great service in reducing the facts of other fields from chaos to order; and thus we have Comparative Religion, Higher Criticism, and the Psychology of Religion. On the other hand, attempts have been made from the philosophical side to furnish the same rationale for the ultimate religious concepts as for the scientific. The import of this has been, not to show that both sorts of ideas are ultimately equally invalid, equally lose themselves in the unknowable, as in the dark all cows are gray; but to show the legitimacy and importance of both in steering us in the direction of the real. What I am concerned with in this paper is to inquire into the validity of our religious ideals; but to do this I shall have to inquire first how any ideals become valid. If this seems a roundabout way, I still feel that it is the shortest way to reach the end in view.

scholarly journals Formal power and real authority: the involvement of governance norms or principles

2018 ◽  
pp. 107-127
Author(s):  
Emmanuel Picavet
Keyword(s):  
Political Science ◽  
The Other ◽  
Formal Structure ◽  
Formal Treatment ◽  
The Real ◽  
Contemporary Research ◽  
Other Hand ◽  
Or Economics ◽  
The One ◽  
Formal Power

In several avenues of contemporary research, much attention is devoted to the contrast between the real authority of institution and their formal power, in the analysis of institutional funtionings; also in the study of the relationships between institutions on the one hand, rules, principles or norms on the other hand. Such a contrast appears to be based on familiar observations: the capacity of institutions to get their preferred outcomes (their so-called „real authority”) is sometimes loosely connected with the hierarchical prerogatives of the considered institutions (their „formal power”). More particularly, current studies of the „migration authority” bring out possible shitts in real authority while there is no changein the formal structure of power. This article will partly consist  in the explanation of recent results of common reaserch in project „Delicom”, in which a formal treatment of the distinction has been put foward. This approach will be set against the background of recent contributions in political science or economics (in the works of Ph. Aghion and J. Tirole, J. Backhaus, L. Thorlakson). The revelance of the problematic for the study of competence delegation among institutions will be stressed all along.

scholarly journals The linguistic sign: Metonymy and virtuality

2017 ◽  
Vol 80 (1) ◽  
Author(s):  
Adam Glaz
Keyword(s):  
Real World ◽  
The Other ◽  
The Real ◽  
Linguistic Form ◽  
Intimate Connection ◽  
Other Hand ◽  
Linguistic Sign ◽  
The One

Grounded in a rich philosophical and semiotic tradition, the most influential models of the linguistic sign have been Saussure’s intimate connection between the signifier and the signi-fied and Ogden and Richards’ semiotic triangle. Within the triangle, claim the cognitive lin-guists Radden and Kövecses, the sign functions in a metonymic fashion. The triangular semi-otic model is expanded here to a trapezium and calibrated with, on the one hand, Peirce’s conception of virtuality, and on the other hand, with some of the tenets of Langacker’s Cogni-tive Grammar. In conclusion, the question “How does the linguistic sign mean?” is answered thus: it means by virtue of the linguistic form activating (virtually) the entire trapezium-like configuration of forms, concepts, experienced projections, and relationships between all of the above. Activation of the real world remains dubious or indirect. The process is both meto-nymic and virtual, in the sense specified.

scholarly journals FORMATION OF MENTALITY IN SHAMANISTIC SOCIETIES OF THE NANAI PEOPLE

2021 ◽  
pp. 70-77
Author(s):  
TATIANA D. BULGAKOVA ◽  
Keyword(s):  
Goal Setting ◽  
Physical World ◽  
The Other ◽  
The Real ◽  
Spiritual World ◽  
Other Hand ◽  
The One ◽  
Cultural Reality

The generalization of the field material collected by the author allowed to identify two groups of interrelated factors that form the mentality of those Nanai people who practice shamanism. There were two principles identified, the goal-setting and detecting the resources required to achieve the desired results. On the one hand, an irrational worldview, the idea of the accessibility of the space of the spiritual world and the characters inhabiting it (spirits), is specific to the mentality of shamanists. On the other hand, the basis of the mentality of shamanists is the priority of the principle of pragmatism (utility), that is, the desire to consider the spiritual invisible reality as a resource available for solving those problems that arise in the real physical world. The mentality formed at the intersection of the principles of irrationality and utility has a significant sociogenetic potential, its effect extends to those aspects of the socio-cultural reality that are outside of the actual shamanic practice...

Herausforderung China

2018 ◽  
Vol 59 (3) ◽  
pp. 10-16 ◽  
Author(s):  
Ralf T. Kreutzer
Keyword(s):  
South Korea ◽  
Künstliche Intelligenz ◽  
The Other ◽  
Intensive Study ◽  
The West ◽  
The Real ◽  
Other Hand ◽  
The One

Abstract Viele europäische Manager konzentrieren sich auf der Suche nach den neuesten Trends immer noch (zu häufig) auf den Westen. Ist das heute noch zeitgemäß – und vor allem – wird es den tatsächlichen Herausforderungen der Unternehmen und der Politik noch gerecht? Dieser Beitrag wurde angeregt durch zwei vom Deutschen Dialogmarketing Verband organisierten Reisen nach China, Japan und Südkorea, an denen der Autor in den letzten zwölf Monaten teilgenommen hat. In diesem ersten Beitrag leitet er einige zentrale Lektionen für das eigene Tun in Deutschland und Europa ab. Diese „Lektionen“ basieren zum einen auf dem Gesehenen und Gehörten vor Ort in China selbst. Dazu gehören auch weitere Gespräche mit China-Experten. Zum anderen erfolgte für diesen Beitrag ein intensives Studium der einschlägigen Veröffentlichungen zu den Entwicklungen in China, um so ein holistisches Bild von China und seinen Entwicklungen zu erhalten. Der Beitrag wird in der kommenden Ausgabe von „Der Betriebswirt“ abgeschlossen und behandelt die Themen „Alibaba – Integration über verschiedene Leistungsfelder hinweg“, „JD.com – Amazon und UPS in einem“, „Eigenständige Lösungen durch konsequente Marktabschottung“, „Eroberung des globalen Automobil-Marktes“ sowie „People-Power“. Many European managers are still (too often) concentrating on the West in their search for the latest trends. Is this still appropriate today – and above all – does it still meet the real challenges of companies and politics? This article was inspired by two trips to China, Japan and South Korea organized by the German Dialog Marketing Association, in which the author has participated in the last twelve months. In this first article he derives some central lessons for actions of companies in Germany and Europe. These „lessons“ are based on the one hand on what has been seen and heard locally in China itself. This includes further discussions with China experts. On the other hand, an intensive study of the relevant publications on developments in China was carried out in order to obtain a holistic picture of China and its developments. Keywords: masterplan, künstliche intelligenz, gesichtserkennung, datenschutz

Dark Light: The Mystical Theology of St. Edith Stein

2016 ◽  
Vol 4 ◽  
pp. 362-372
Author(s):  
Olli-Pekka Vainio
Keyword(s):  
Mystical Experience ◽  
Religious Language ◽  
The Other ◽  
Negative Theology ◽  
Edith Stein ◽  
Dark Light ◽  
The Real ◽  
Professional Philosopher ◽  
Other Hand ◽  
The One

In this article, I will examine St. Edith Stein’s theory of religious language. Stein, who was both a professional philosopher and a mystic, and deeply rooted both in the tradition of negative theology and early phenomenology, held a peculiar version of univocity with regard to religious language. On the one hand, our concepts have something objectively in common with the thing they signify. On the other hand, our concepts are merely representations of the real. Therefore, when mystics say that God can be addressed “without words or images,” this does not entail anti-realism or non-cognitivism. Instead, according to Stein, this only means that words are not needed when the thing itself is present without mediation in the mystical experience.

Some James numbers of Stiefel manifolds

1982 ◽  
Vol 92 (1) ◽  
pp. 139-161 ◽  
Author(s):  
Hideaki Ōshima
Keyword(s):  
The Other ◽  
Stiefel Manifold ◽  
Complex Numbers ◽  
Real Numbers ◽  
The Real ◽  
Stiefel Manifolds ◽  
Other Hand ◽  
Usual Norm

The purpose of this note is to determine some unstable James numbers of Stiefel manifolds. We denote the real numbers by R, the complex numbers by C, and the quaternions by H. Let F be one of these fields with the usual norm, and d = dimRF. Let On, k = On, k(F) be the Stiefel manifold of all orthonormal k–frames in Fn, and q: On, k → Sdn−1 the bundle projection which associates with each frame its last vector. Then the James number O{n, k} = OF{n, k} is defined as the index of q* πdn−1(On, k) in πdn−1(Sdn−1). We already know when O{n, k} is 1 (cf. (1), (2), (3), (13), (33)), and also the value of OK{n, k} (cf. (1), (13), (15), (34)). In this note we shall consider the complex and quaternionic cases. For earlier work see (11), (17), (23), (27), (29), (31) and (32). In (27) we defined the stable James number , which was a divisor of O{n, k}. Following James we shall use the notations X{n, k}, Xs{n, k}, W{n, k} and Ws{n, k} instead of OH{n, k}, , Oc{n, k} and respectively. In (27) we noticed that O{n, k} = Os{n, k} if n ≥ 2k– 1, and determined Xs{n, k} for 1 ≤ k ≤ 4, and also Ws{n, k} for 1 ≤ k ≤ 8. On the other hand Sigrist (31) calculated W{n, k} for 1 ≤ k ≤ 4. He informed the author that W{6,4} was not 4 but 8. Since Ws{6,4} = 4 (cf. § 5 below) this yields that the unstable James number does not equal the stable one in general.

The Place of Conversational Data in Spanish Syntax: Topic, Focus, and Word Order

2010 ◽  
Vol 3 (2) ◽  
Author(s):  
Francisco Ocampo
Keyword(s):  
Word Order ◽  
Human Factor ◽  
The Other ◽  
The Real ◽  
Grammaticality Judgments ◽  
Other Hand ◽  
Spanish Syntax ◽  
The One

AbstractResults yield by conversational data are compared with those generated by elicited grammaticality judgments on the issues of topic, focus, and word order. On the one hand, most of the sentence types produced by elicited grammaticality judgments are confirmed by empirical conversational data. On the other, research utilizing grammaticality judgments detects only prototypical constructions. The cause is that invented sentences, upon which grammaticality judgments are based, are cognitively biased to be prototypical. Therefore, elicitation methodology does not provide the analyst with the whole range of possible constructions. This type of data is simplified in the sense that it consists mainly of prototypical instances placed in a context of exemplification. Conversational data, on the other hand, include the human factor, conversational and pragmatic factors, as well as the real context where a particular utterance occurs. For this reason, it is argued that syntax studies based on conversational data allow for the possibility of finding new unexpected cases that may offer new perspectives.

The development of capability: the content of potential and the potential of content

2004 ◽  
Vol 46 (1) ◽  
pp. 7-10 ◽  
Author(s):  
Reva Brown ◽  
Sean McCartney
Keyword(s):  
Real World ◽  
The Other ◽  
The Real ◽  
Other Hand ◽  
The One ◽  
Definition Of ◽  
The Individual ◽  
As If

All too often discussion of Capability proceeds as if it is clear what ‘Capability’ is: and that all that is required is the ascertaining of means for developing it. This paper seeks to explore the meanings of Capability. It provides two broad meanings, and discusses the paradoxes inherent in the application of these to the real world of management and business. On the one hand, Capability is defined as Potential, what the individual could achieve. Potential is an endowment, which is realised by the acquisition of skills and knowledge, i.e. the acquisition of Content. On the other hand, Capability is defined as Content: what the individual can (or has learned to) do. This Content has been acquired by, or input into, the individual, who then has the Potential to develop further. So there are different routes to Capability, depending on the definition of Capability one chooses. All of this impinges on the development of Capability. This leads us on to a consideration of whether the ‘Development of Capability’ is a meaningful concept.

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