On strict sub-Gaussianity, optimal proxy variance and symmetry for bounded random variables

ESAIM Probability and Statistics ◽

10.1051/ps/2019018 ◽

2020 ◽

Vol 24 ◽

pp. 39-55

Author(s):

Julyan Arbel ◽

Olivier Marchal ◽

Hien D. Nguyen

Keyword(s):

Necessary Conditions ◽

Sufficient Conditions ◽

Random Variables ◽

The Other ◽

Bounded Support ◽

Uniform Distributions ◽

Standard Variance ◽

Per Se ◽

The One ◽

The Relationship

We investigate the sub-Gaussian property for almost surely bounded random variables. If sub-Gaussianity per se is de facto ensured by the bounded support of said random variables, then exciting research avenues remain open. Among these questions is how to characterize the optimal sub-Gaussian proxy variance? Another question is how to characterize strict sub-Gaussianity, defined by a proxy variance equal to the (standard) variance? We address the questions in proposing conditions based on the study of functions variations. A particular focus is given to the relationship between strict sub-Gaussianity and symmetry of the distribution. In particular, we demonstrate that symmetry is neither sufficient nor necessary for strict sub-Gaussianity. In contrast, simple necessary conditions on the one hand, and simple sufficient conditions on the other hand, for strict sub-Gaussianity are provided. These results are illustrated via various applications to a number of bounded random variables, including Bernoulli, beta, binomial, Kumaraswamy, triangular, and uniform distributions.

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Choice Of Technique And The Volume Of Saving (A Re-Examination Of The Cobb-Douglas Model)

The Pakistan Development Review ◽

10.30541/v8i4pp.606-617 ◽

1968 ◽

Vol 8 (4) ◽

pp. 606-617

Author(s):

Mohammad Anisur Rahman

Keyword(s):

Economic Development ◽

Production Function ◽

Development Policy ◽

Social Goals ◽

The Other ◽

Economic Development Policy ◽

Labour Intensity ◽

The One ◽

Choice Of Technique ◽

The Relationship

The purpose of this paper is to re-examine the relationship between the degree of aggregate labour-intensity and the aggregate volume of saving in an economy where a Cobb-6ouglas production function in its traditional form can be assumed to give a good approximation to reality. The relationship in ques¬tion has an obviously important bearing on economic development policy in the area of choice of labour intensity. To the extent that and in the range where an increase in labour intensity would adversely affect the volume of savings, a con¬flict arises between two important social objectives, i.e., higher rate of capital formation on the one hand and greater employment and distributive equity on the other. If relative resource endowments in the economy are such that such a "competitive" range of labour-intensity falls within the nation's attainable range of choice, development planners will have to arrive at a compromise between these two social goals.

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The Problem of the Typology of Rationality in Muslim Culture

Russian Journal of Philosophical Sciences ◽

10.30727/0235-1188-2019-62-6-88-99 ◽

2019 ◽

Vol 62 (6) ◽

pp. 88-99

Author(s):

Andrey A. Lukashev

Keyword(s):

Modern Philosophy ◽

Theoretical Basis ◽

Theoretical Models ◽

The Other ◽

Common Denominator ◽

Islamic Culture ◽

The Common ◽

Per Se ◽

The One ◽

Muslim Culture

The typology of rationality is one of major issues of modern philosophy. In an attempt to provide a typology to Oriental materials, a researcher faces additional problems. The diversity of the Orient as such poses a major challenge. When we say “Oriental,” we mean several cultures for which we cannot find a common denominator. The concept of “Orient” involves Arabic, Indian, Chinese, Turkish and other cultures, and the only thing they share is that they are “non-Western.” Moreover, even if we focus just on Islamic culture and look into rationality in this context, we have to deal with a conglomerate of various trends, which does not let us define, with full confidence, a common theoretical basis and treat them as a unity. Nevertheless, we have to go on trying to find common directions in thought development, so as to draw conclusions about types of rationality possible in Islamic culture. A basis for such a typology of rationality in the context of the Islamic world was recently suggested in A.V. Smirnov’s logic of sense theory. However, actual empiric material cannot always fit theoretical models, and the cases that do not fit the common scheme are interesting per se. On the one hand, examination of such cases gives an opportunity to specify certain provisions of the theory and, on the other hand, to define the limits of its applicability.

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Bastard Feudalism and the Framing of Thirteenth-Century England

10.1093/oso/9780198777601.003.0011 ◽

2018 ◽

Author(s):

Peter Coss

Keyword(s):

Middle Ages ◽

Thirteenth Century ◽

Twelfth Century ◽

The State ◽

The Other ◽

Great Work ◽

Early Middle Ages ◽

The One ◽

The Relationship

In the introduction to his great work of 2005, Framing the Early Middle Ages, Chris Wickham urged not only the necessity of carefully framing our studies at the outset but also the importance of closely defining the words and concepts that we employ, the avoidance ‘cultural sollipsism’ wherever possible and the need to pay particular attention to continuities and discontinuities. Chris has, of course, followed these precepts on a vast scale. My aim in this chapter is a modest one. I aim to review the framing of thirteenth-century England in terms of two only of Chris’s themes: the aristocracy and the state—and even then primarily in terms of the relationship between the two. By the thirteenth century I mean a long thirteenth century stretching from the period of the Angevin reforms of the later twelfth century on the one hand to the early to mid-fourteenth on the other; the reasons for taking this span will, I hope, become clearer during the course of the chapter, but few would doubt that it has a validity.

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Evangelical and Catholic Timespace in Work: An Argument against a Homeless Eschatology

Religions ◽

10.3390/rel12030199 ◽

2021 ◽

Vol 12 (3) ◽

pp. 199

Author(s):

Maria Ledstam

Keyword(s):

Empirical Study ◽

Common Good ◽

Ethnographic Study ◽

The Other ◽

Faith Based ◽

Business As Mission ◽

Achievable Goal ◽

The Common ◽

The One ◽

The Relationship

This article engages with how religion and economy relate to each other in faith-based businesses. It also elaborates on a recurrent idea in theological literature that reflections on different visions of time can advance theological analyses of the relationship between Christianity and capitalism. More specifically, this article brings results from an ethnographic study of two faith-based businesses into conversation with the ethicist Luke Bretherton’s presentation of different understandings of the relationship between Christianity and capitalism. Using Theodore Schatzki’s theory of timespace, the article examines how time and space are constituted in two small faith-based businesses that are part of the two networks Business as Mission (evangelical) and Economy of Communion (catholic) and how the different timespaces affect the religious-economic configurations in the two cases and with what moral implications. The overall findings suggest that the timespace in the Catholic business was characterized by struggling caused by a tension between certain ideals on how religion and economy should relate to each other on the one hand and how the practice evolved on the other hand. Furthermore, the timespace in the evangelical business was characterized by confidence, caused by the business having a rather distinct and achievable goal when it came to how they wanted to be different and how religion should relate to economy. There are, however, nuances and important resemblances between the cases that cannot be explained by the businesses’ confessional and theological affiliations. Rather, there seems to be something about the phenomenon of tension-filled and confident faith-based businesses that causes a drive in the practices towards the common good. After mapping the results of the empirical study, I discuss some contributions that I argue this study brings to Bretherton’s presentation of the relationship between Christianity and capitalism.

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From reflex to reflection: Moving from the space of causes to the space of reasons and back

Open Philosophy ◽

10.1515/opphil-2020-0124 ◽

2020 ◽

Vol 3 (1) ◽

pp. 681-693

Author(s):

Ariel Furstenberg

Keyword(s):

The Other ◽

Final Part ◽

Clear Cut ◽

Other Hand ◽

Space Of Reasons ◽

The One ◽

The Relationship ◽

Simple Picture

AbstractThis article proposes to narrow the gap between the space of reasons and the space of causes. By articulating the standard phenomenology of reasons and causes, we investigate the cases in which the clear-cut divide between reasons and causes starts to break down. Thus, substituting the simple picture of the relationship between the space of reasons and the space of causes with an inverted and complex one, in which reasons can have a causal-like phenomenology and causes can have a reason-like phenomenology. This is attained by focusing on “swift reasoned actions” on the one hand, and on “causal noisy brain mechanisms” on the other hand. In the final part of the article, I show how an analogous move, that of narrowing the gap between one’s normative framework and the space of reasons, can be seen as an extension of narrowing the gap between the space of causes and the space of reasons.

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Ontology and Perception

Essays in Philosophy ◽

10.5840/eip20045135 ◽

2004 ◽

Vol 5 (1) ◽

pp. 43-58

Author(s):

Jeffrey S. Galko ◽

Keyword(s):

Common Sense ◽

The Other ◽

Cognitive Capacity ◽

Complex Environment ◽

Starting Point ◽

Ontological Question ◽

The One ◽

Bodies Of Water ◽

The Relationship

The ontological question of what there is, from the perspective of common sense, is intricately bound to what can be perceived. The above observation, when combined with the fact that nouns within language can be divided between nouns that admit counting, such as ‘pen’ or ‘human’, and those that do not, such as ‘water’ or ‘gold’, provides the starting point for the following investigation into the foundations of our linguistic and conceptual phenomena. The purpose of this paper is to claim that such phenomena are facilitated by, on the one hand, an intricate cognitive capacity, and on the other by the complex environment within which we live. We are, in a sense, cognitively equipped to perceive discrete instances of matter such as bodies of water. This equipment is related to, but also differs from, that devoted to the perception of objects such as this computer. Behind this difference in cognitive equipment underlies a rich ontology, the beginnings of which lies in the distinction between matter and objects. The following paper is an attempt to make explicit the relationship between matter and objects and also provide a window to our cognition of such entities.

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Dreams of Truck Drivers: A Test of the Continuity Hypothesis of Dreaming

Imagination Cognition and Personality ◽

10.2190/578d-mlha-78r2-htnw ◽

2005 ◽

Vol 25 (2) ◽

pp. 179-186 ◽

Cited By ~ 2

Author(s):

Michael Schredl ◽

Arthur Funkhouser ◽

Nicole Arn

Keyword(s):

Empirical Studies ◽

Truck Drivers ◽

The Other ◽

Continuity Hypothesis ◽

Future Studies ◽

Daytime Activity ◽

Close Relationship ◽

The One ◽

Dream Emotions ◽

The Relationship

Empirical studies largely support the continuity hypothesis of dreaming. The present study investigated the frequency and emotional tone of dreams of truck drivers. On the one hand, the findings of the present study partly support the continuity regarding the time spent with driving/being in the truck and driving dreams and, on the other hand, a close relationship was found between daytime mood (feelings of stress, job satisfaction) and dream emotions, i.e., different dream characteristics were affected by different aspects of daytime activity. The results, thus, indicate that it is necessary to define very clearly how this continuity is to be conceptualized. The approach of formulating a mathematical model (cf. [1]) should be adopted in future studies in order to specify the factors and their magnitude in the relationship between waking and dreaming.

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Becoming fertile in the land of organic milk: Lesbian and queer reproductions of femininity and motherhood in Sweden

Sexualities ◽

10.1177/1363460717718509 ◽

2017 ◽

Vol 21 (7) ◽

pp. 1021-1038 ◽

Cited By ~ 5

Author(s):

Ulrika Dahl

Keyword(s):

Popular Culture ◽

Family Formation ◽

The Other ◽

Same Sex ◽

Organic Milk ◽

Race And Class ◽

Lesbian Motherhood ◽

The One ◽

The Relationship

This article draws on popular culture, ethnographic materials and mainstream commercials to discuss contemporary understandings of the relationship between fertility, pregnancy and parenthood among lesbians and other queer persons with uteruses. It argues that, on the one hand, same-sex lesbian motherhood is increasingly celebrated as evidence of Swedish gender and sexual exceptionalism and, on the other, queers who wish to challenge heteronormative gender disavow both the relationship between fertility and femininity, and that of pregnancy and parenthood. The author argues that in studying queer family formation, we must move beyond addressing heteronormativity and begin studying how gender, sexuality, race and class get reproduced in queer kinship stories.

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Contraste, Dissonanzen, Missklänge: Zum Verhältnis von Idylle und Tourismus in literarischen Schweiz-Reisen des 19. Jahrhunderts (Ida Hahn-Hahn, Hans Christian Andersen)

Sprache und Literatur ◽

10.30965/25890859-05001003 ◽

2021 ◽

Vol 50 (1) ◽

pp. 34-56

Author(s):

Christian Schmitt

Keyword(s):

19Th Century ◽

The Other ◽

Hans Christian Andersen ◽

The Aesthetic ◽

The One ◽

The 19Th Century ◽

The Relationship

Abstract The discrepancy between common temporary expectations of Switzerland as idyll on the one hand, and the reality of its industrially organized tourism on the other, imposes irritations upon the touristic gaze. This article, then, traces the origins of this discrepancy and examines the relationship between Swiss idyll and tourism in the 19th century. The analyses of Ida Hahn-Hahn’s Eine Idylle and Hans Christian Andersen’s Iisjomfruen showcase different ways of relating idyll and tourism to one another as well as the aesthetic merit produced by this constellation.

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《高文舉》版本考述

中正漢學研究 ◽

10.53106/2306036020210600370010 ◽

2021 ◽

Vol 37 (37) ◽

pp. 281-332

Author(s):

柯香君柯香君

Keyword(s):

The Other ◽

Evolution Process ◽

Cultural Characteristics ◽

Original Stories ◽

Other Hand ◽

The One ◽

The Relationship ◽

Work First

「高文舉故事」始自形成，便以多元樣貌流播於各地聲腔，依據本文所較析的四個版本，彼此間存在著複雜關係，或有獨立發展者，如南管戲《高文舉》，或有屬古本系統者，如《水雲亭還魂記》，或有保留南戲原貌者莆仙戲《高文舉》，乃至於集大成者「文林閣本」《高文舉珍珠記》。南戲《高文舉》已亡佚，其中以《高文舉珍珠記》之影響最為深遠。「高文舉故事」主要情節有三：「珍珠米糷」、「還魂訴冤」、「包拯斷案」。在「文林閣本」與「莆仙本」皆有「珍珠米糷」、「龍圖斷案」，而「還魂本」有「玉真還魂」、「龍圖斷案」，至於「南管本」則一概具無，可知「南管本」在高文舉故事流變過程中之獨特性。本文主要針對各版本間之「關目情節」、「曲文賓白」等詳實比勘，剖析「高文舉」在不同聲腔劇種間之承繼與創新，並試圖重構各地聲腔在「高文舉」演化過程中之地位與價值。  Gao Wen Jyu of southern opera has been disappeared and present versions include Zhen Zhu Ji (Yi Yang tune), Gao Wen Jyu of Southern Pipes (Quan tune), Gao Wen Jyu of Pu Xian (Hsin Hua tune) and Revival After Death of Shui Yun Pavilion (Qing Yang tune). Among others, Zhen Zhu Ji is the most influential one. The plots such as “Window Meeting” and “Zhen Zhu Mi Lan” are not only the selected Zhe Zi operas for the later generations, but also the adapted texts of local operas. Main plots of “story of Gao Wen Jyu” are below: “Zhen Zhu Mi Lan”, “Revival After Death to Appeal for Justice” and “Master Pao’s Judgment”. Zhen Zhu Ji and “version of Pu Xian” include “Zhen Zhu Mi Lan” and “Master Pag’s Judgment”. “Version of revival after death” includes “Revival After Death of Yu Chen” and “Master Pao’s Judgment”. “Version of Southern Pipes” does not include the above. Hence, it shows the uniqueness of “version of Southern Pipes” in the evolution of “story of Gao Wen Jyu”. Varieties of plots result in the richness of “story of Gao Wen Jyu”. The process of spread reveals flexibility and regionality of local common systematic tunes and varieties of operas. This study will treat four versions of Gao Wen Jyu as the subjects to significantly compare and analyze the original stories and difference and similarity of related work. First, it explores present versions to recognize the evolution of the story “Gao Wen Jyu”; secondly, it precisely compares “plots” and “singing and talking” of the versions to analyze the inheritance and innovation of “story of Gao Wen Jyu” in different common systematic tunes and varieties of Chinese operas. It, on the one hand, clarifies the relationship and origin of different versions of “Gao Wen Jyu” and, on the other hand, probes into cultural characteristics of “time” and “region” of operas; finally, it attmpets to reconstruct the positions and values of common systematic tunes in different regions in the evolution process of “Gao Wen Jyu”.

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