LEBESGUE DENSITY AND CLASSES

2016 ◽  
Vol 81 (1) ◽  
pp. 80-95 ◽  
Author(s):  
MUSHFEQ KHAN
Keyword(s):  
Crucial Role ◽  
Density Theorem ◽  
Algorithmic Randomness ◽  
Positive Density ◽  
Lebesgue Density ◽  
Proper Subclass ◽  
Starting Point ◽  
Recent Developments ◽  
Image Position ◽  
Shed Light

AbstractAnalyzing the effective content of the Lebesgue density theorem played a crucial role in some recent developments in algorithmic randomness, namely, the solutions of the ML-covering and ML-cupping problems. Two new classes of reals emerged from this inquiry: thepositive density pointswith respect toeffectively closed(or$\prod _1^0$) sets of reals, and a proper subclass, thedensity-one points. Bienvenu, Hölzl, Miller, and Nies have shown that the Martin-Löf random positive density points are exactly the ones that do not compute the halting problem. Treating this theorem as our starting point, we present several new results that shed light on how density, randomness, and computational strength interact.

Contributory Fault under International Law: A Gateway for Human Rights in ISDS?

2020 ◽  
Author(s):  
Farouk El-Hosseny ◽  
Patrick Devine
Keyword(s):  
Human Rights ◽  
International Law ◽  
Multinational Enterprises ◽  
Indigenous Rights ◽  
Business And Human Rights ◽  
Investment Treaty ◽  
Recent Developments ◽  
The Government ◽  
Bear Creek ◽  
Shed Light

Abstract The intersection between foreign investment and human rights is gaining attention, as is evident from an increasing number of investment treaty awards analysing legal issues relating to human rights. In the recent International Centre for the Settlement of Investment Disputes (ICSID) arbitration of Bear Creek v Peru, Philippe Sands QC posited, in a dissenting opinion, that the investor’s contribution to events—ie protests against its allegedly adverse environmental impact and disregard of indigenous rights, namely resulting from its ‘inability to obtain a “social licence”’—which led to the unlawful expropriation of its investment, was ‘significant and material’. He further noted that the investor’s ‘responsibilities are no less than those of the government’ and found that damages should thus be reduced. Last year, the Netherlands adopted a new model bilateral investment treaty (BIT), which allows tribunals to ‘take into account non-compliance by the investor with the UN Guiding Principles on Business and Human Rights and the OECD Guidelines for Multinational Enterprises’ when assessing damages. These recent developments shed light on how states and tribunals, as part of their decision-making process, can take into account human rights in practice, and crucially in respect of damages analyses. By first dissecting the concept of contributory fault, then shedding light on the intersection of investment treaty law and human rights, as elucidated in recent jurisprudence, this article questions whether there now exists a gateway for human rights obligations (soft or hard) in the investment treaty arbitration realm through the concept of contributory fault.

scholarly journals Multiwavelength Observations of Fast Radio Bursts

Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 76
Author(s):  
Luciano Nicastro ◽  
Cristiano Guidorzi ◽  
Eliana Palazzi ◽  
Luca Zampieri ◽  
Massimo Turatto ◽  
...  
Keyword(s):  
Radio Burst ◽  
High Energy ◽  
Medium Size ◽  
Radio Bursts ◽  
Starting Point ◽  
Key Points ◽  
Fast Radio Burst ◽  
Theoretical Results ◽  
Observational Strategy ◽  
Shed Light

The origin and phenomenology of the Fast Radio Burst (FRB) remains unknown despite more than a decade of efforts. Though several models have been proposed to explain the observed data, none is able to explain alone the variety of events so far recorded. The leading models consider magnetars as potential FRB sources. The recent detection of FRBs from the galactic magnetar SGR J1935+2154 seems to support them. Still, emission duration and energetic budget challenge all these models. Like for other classes of objects initially detected in a single band, it appeared clear that any solution to the FRB enigma could only come from a coordinated observational and theoretical effort in an as wide as possible energy band. In particular, the detection and localisation of optical/NIR or/and high-energy counterparts seemed an unavoidable starting point that could shed light on the FRB physics. Multiwavelength (MWL) search campaigns were conducted for several FRBs, in particular for repeaters. Here we summarize the observational and theoretical results and the perspectives in view of the several new sources accurately localised that will likely be identified by various radio facilities worldwide. We conclude that more dedicated MWL campaigns sensitive to the millisecond–minute timescale transients are needed to address the various aspects involved in the identification of FRB counterparts. Dedicated instrumentation could be one of the key points in this respect. In the optical/NIR band, fast photometry looks to be the only viable strategy. Additionally, small/medium size radiotelescopes co-pointing higher energies telescopes look a very interesting and cheap complementary observational strategy.

Radical Tense-Indexical Historicality and the De Se

KronoScope ◽  
2021 ◽  
Vol 21 (1) ◽  
pp. 7-27
Author(s):  
Carl Humphries
Keyword(s):  
Alternative View ◽  
The Past ◽  
Starting Point ◽  
De Se ◽  
Temporal Expressions ◽  
The Subject ◽  
The One ◽  
Self Reference ◽  
A Current ◽  
Shed Light

Abstract “Being is said in many ways,” claimed Aristotle, initiating a discussion about existential commitment that continues today. Might there not be reasons to say something similar about “having been,” or “having happened,” where these expressions denote something’s being located in the past? Moreover, if history – construed not only as an object of inquiry (actual events, etc.) but also as a way of casting light on certain matters – is primarily concerned with “things past,” then the question just posed also seems relevant to the question of what historical understanding amounts to. While the idea that ‘being’ may mean different things in different contexts has indisputable importance, the implications of other, past-temporal expressions are elusive. In what might any differences of substantive meaning encountered there consist? One starting point for responding – the one that provides the subject matter explored here – is furnished by the question of whether or not a certain way of addressing matters relating to the past permits or precludes forms of intelligibility that could be said to be ‘radically historical.’ After arguing that the existing options for addressing this issue remain unsatisfactory, I set out an alternative view of what it could mean to endorse or reject such an idea. This involves drawing distinctions and analogies connected with notions of temporal situatedness, human practicality and historicality, which are then linked to a further contrast between two ways of understanding the referential significance of what is involved when we self-ascribe a relation to a current situation in a manner construable as implying that we take ourselves to occupy a unique, yet circumstantially defined, perspective on that situation. As regards the latter, on one reading, the specific kind of indexically referring language we use – commonly labelled “de se” – is something whose rationale is exhausted by its practical utility as a communicative tool. On the other, it is viewed as capturing something of substantive importance about how we can be thought of as standing in relation to reality. I claim that this second reading, together with the line of thinking about self-identification and self-reference it helps foreground, can shed light on what it would mean to affirm or deny the possibility of radically historical forms of intelligibility – and thus also on what it could mean to ascribe a plurality of meanings to talk concerning things being ‘in the past.’

scholarly journals Copper-promoted/copper-catalyzed trifluoromethylselenolation reactions

2020 ◽  
Vol 16 ◽  
pp. 305-316 ◽  
Author(s):  
Clément Ghiazza ◽  
Anis Tlili
Keyword(s):  
Organic Compounds ◽  
Crucial Role ◽  
Copper Catalysis ◽  
Chemistry Major ◽  
Recent Developments ◽  
Made In

Copper catalysis and, more generally, copper chemistry are pivotal for modern organofluorine chemistry. Major advances have been made in the field of trifluoromethylselenolations of organic compounds where copper catalysis played a crucial role. Recent developments in this field are highlighted in this minireview.

scholarly journals Violence in social memory intimate beliefs regarding operation storm in the Croatian and Serbian publics

2008 ◽  
Vol 19 (1) ◽  
pp. 43-68
Author(s):  
Gordana Djeric
Keyword(s):  
Social Relationships ◽  
Social Memory ◽  
The Other ◽  
Silence Suppression ◽  
Starting Point ◽  
The One ◽  
Performance Character ◽  
The Relationship ◽  
Shed Light ◽  
Manipulation Strategy

This text is part of a research conducted under the working title "What do we talk about when we are silent and what are we silent about when we are talking? - premises for the anthropology of silence about the nearest past." In the first part the author investigates the meaning of silence in the Croatian and Serbian press right before and during Croatia's Operation Storm. The ratio between silence, suppression of information and forgetting, on the one hand, and social memory, on the other, has been elaborated in the final part of the text by following reports about the anniversaries of Operation Storm in both Croatian and Serbian publics. The starting point lies in the belief that the phenomenon of silence (and suppression of information), being an immanent part of each discourse, represents an important factor in the creation of social relationships and system of value models, that it has important communication and cognitive functions and that the performance character lies in its essence. In short, silence makes it possible to form the prevailing image about this event, even if it does not construct it indirectly - through speech. The author has elaborated on the meaning of silence in the context of Operation Storm partly because studies about the breakup of Yugoslavia frequently mention silence as a manipulation strategy employed by some of the sides in the conflict (or analysts dealing with Yugoslav topics), while not a single study systematically investigates the semantic of silence and suppression of information in these conflicts. Most importantly, taking into account the frequency of direct silence in the newspaper discourse and rhetoric strategies that point at silence indirectly from the context and discourse, the author focuses on the relationship between the event (situation) and silence. In order to shed light on the way in which Operation Storm is remembered, i.e. forgotten, in the stakeholders' publics and political imageries, she follows the dailies - Vecernje Novosti Politika, Danas (Belgrade) - Vecernji List, Jutarnji List, Magazin supplement of the Jutarnji List (Zagreb), as well as texts about Operation Storm in weeklies such as the NIN and Vreme of Belgrade or Globus of Zagreb in the period between August 2, 1995 and mid-August 2006.

scholarly journals Integrated foucault: Another look at discourse and power

2018 ◽  
Vol 29 (4) ◽  
pp. 533-544
Author(s):  
Marija Velinov
Keyword(s):  
Discursive Practices ◽  
Starting Point ◽  
The Common ◽  
Shed Light ◽  
Distinct Field ◽  
Three Phases

This paper argues that there is continuity in Foucault?s thought, as opposed to the common division of his work into three phases, each marking a distinct field of research - discourse, power, subject. The idea is that there are no radical turns in his work that justify this division; rather, there is a shift of focus: all crucial concepts are present (more or less [in]explicitly) in all periods of his thought and in all of his undoubtedly differently-toned and oriented works. This is shown through examining the characteristics of archaeology and genealogy, their relation, as well as the relation of discursive practices and strategies of power to knowledge. The retrospective and (re)interpretation intend to shed light on the constant interplay between concepts that demonstrate continuity in Foucault?s thought. The viewpoint, based in the integrity of Foucault?s work, offers a better starting point for understanding certain aspects of his theories.

scholarly journals The Multiple Aspects of ‘Time’ Rendering Justice for War Crimes in Iraq

2021 ◽  
pp. 1-27
Author(s):  
Thomas Obel Hansen
Keyword(s):  
Transitional Justice ◽  
War Crimes ◽  
Military Establishment ◽  
Starting Point ◽  
Recent Developments ◽  
Domestic Level

Abstract This article takes the starting point in an examination of the case study of accountability for UK war crimes in Iraq, to engage recent developments in the transitional justice field. The article observes that while some passage of time in the context of war-related crimes tends to be a precondition for any kind of justice, the passage of time can easily end up complicating and obscuring the prospects for justice. The article demonstrates how accountability at the domestic level for these crimes has become increasingly implausible with time, partly due to the development of a prevailing narrative of ‘cycles’ of ineffective investigations (and re-investigations) that have become politically loaded and increasingly unpopular especially in what could be labelled the ‘pro-military establishment’.

scholarly journals Evolution and research trends of inclusive museum studies: a bibliometric approach

Kepes ◽  
2020 ◽  
Vol 17 (22) ◽  
pp. 161-192
Author(s):  
Jackeline Valencia Arias ◽  
Alejandro Valencia-Arias ◽  
Danny Zurc
Keyword(s):  
Inclusive Education ◽  
Latin American ◽  
Museum Studies ◽  
Research Trends ◽  
Cultural Institutions ◽  
Disabled People ◽  
Starting Point ◽  
University Communities ◽  
Bibliometric Approach ◽  
Shed Light

Inclusion is defined as the opportunity disabled people have to fully participate in different contexts: education, work, consumption, entertainment, and other daily social activities. For an understanding of that, this study aims at examine the evolution and research trends of the field of inclusive museums in order propose a line of research that includes growing and emerging concepts in this area of knowledge. For that purpose, technological mapping was carried out by means of a bibliometric analysis that examined 284 publications indexed in Scopus from 1987 to 2018. Results indicate that 47 countries have carried out studies on inclusive museums, within the framework of the research lines inclusive education and education in museums. Research that has been disseminated in greater measure through American journals. This bibliometric study on inclusive museums enabled to shed light on the productivity, impact, and networking of researchers in this field. Finally, this study constitutes a relevant starting point that not only presents trends in the field of inclusive museums but also encourages university communities and cultural institutions (such as Latin American museums) to consider the role they play in said area, as well as the visibility of their research efforts.

scholarly journals Endogenous and exogenous electric fields as modifiers of brain activity: rational design of noninvasive brain stimulation with transcranial alternating current stimulation

2014 ◽  
Vol 16 (1) ◽  
pp. 93-102 ◽  
Keyword(s):  
Electric Fields ◽  
Brain Stimulation ◽  
Rational Design ◽  
Brain Activity ◽  
Field Potential ◽  
Alternating Current ◽  
Noninvasive Brain Stimulation ◽  
Starting Point ◽  
Recent Developments ◽  
Transcranial Alternating Current Stimulation

Synchronized neuronal activity in the cortex generates weak electric fields that are routinely measured in humans and animal models by electroencephalography and local field potential recordings. Traditionally, these endogenous electric fields have been considered to be an epiphenomenon of brain activity. Recent work has demonstrated that active cortical networks are surprisingly susceptible to weak perturbations of the membrane voltage of a large number of neurons by electric fields. Simultaneously, noninvasive brain stimulation with weak, exogenous electric fields (transcranial current stimulation, TCS) has undergone a renaissance due to the broad scope of its possible applications in modulating brain activity for cognitive enhancement and treatment of brain disorders. This review aims to interface the recent developments in the study of both endogenous and exogenous electric fields, with a particular focus on rhythmic stimulation for the modulation of cortical oscillations. The main goal is to provide a starting point for the use of rational design for the development of novel mechanism-based TCS therapeutics based on transcranial alternating current stimulation, for the treatment of psychiatric illnesses.

A renewal density theorem in the multi-dimensional case

1967 ◽  
Vol 4 (1) ◽  
pp. 62-76 ◽  
Author(s):  
Charles J. Mode
Keyword(s):  
Density Function ◽  
Covariance Matrix ◽  
Branching Processes ◽  
Random Variable ◽  
Density Theorem ◽  
Positive Definite ◽  
Dimensional Case ◽  
Age Dependent ◽  
Image Position ◽  
Mean Vector

SummaryIn this note a renewal density theorem in the multi-dimensional case is formulated and proved. Let f(x) be the density function of a p-dimensional random variable with positive mean vector μ and positive-definite covariance matrix Σ, let hn(x) be the n-fold convolution of f(x) with itself, and set Then for arbitrary choice of integers k1, …, kp–1 distinct or not in the set (1, 2, …, p), it is shown that under certain conditions as all elements in the vector x = (x1, …, xp) become large. In the above expression μ‵ is interpreted as a row vector and μ a column vector. An application to the theory of a class of age-dependent branching processes is also presented.

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