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1

Murray, Samuel, Elise Murray, and Thomas Nadelhoffer. "Piercing the Smoke Screen: Dualism, Free Will, and Christianity." Journal of Cognition and Culture 21, no. 1-2 (June 1, 2021): 94–111. http://dx.doi.org/10.1163/15685373-12340098.

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Abstract Research on the folk psychology of free will suggests that people believe free will is incompatible with determinism and that human decision-making cannot be exhaustively characterized by physical processes. Some suggest that certain elements of Western cultural history, especially Christianity, have helped to entrench these beliefs in the folk conceptual economy. Thus, on the basis of this explanation, one should expect to find three things: (1) a significant correlation between belief in dualism and belief in free will, (2) that people with predominantly incompatibilist commitments are likely to exhibit stronger dualist beliefs than people with predominantly compatibilist commitments, and (3) people who self-identify as Christians are more likely to be dualists and incompatibilists than people who do not self-identify as Christians. We present the results of two studies (n = 378) that challenge two of these expectations. While we do find a significant correlation between belief in dualism and belief in free will, we found no significant difference in dualist tendencies between compatibilists and incompatibilists. Moreover, we found that self-identifying as Christian did not significantly predict preference for a particular metaphysical conception of free will. This calls into question assumptions about the relationship between beliefs about free will, dualism, and Christianity.
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Hodge, K. Mitch. "Descartes' Mistake: How Afterlife Beliefs Challenge the Assumption that Humans are Intuitive Cartesian Substance Dualists." Journal of Cognition and Culture 8, no. 3-4 (2008): 387–415. http://dx.doi.org/10.1163/156853708x358236.

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AbstractThis article presents arguments and evidence that run counter to the widespread assumption among scholars that humans are intuitive Cartesian substance dualists. With regard to afterlife beliefs, the hypothesis of Cartesian substance dualism as the intuitive folk position fails to have the explanatory power with which its proponents endow it. It is argued that the embedded corollary assumptions of the intuitive Cartesian substance dualist position (that the mind and body are different substances, that the mind and soul are intensionally identical, and that the mind is the sole source of identity) are not compatible with cultural representations such as mythologies, funerary rites, iconography and doctrine as well as empirical evidence concerning intuitive folk reasoning about the mind and body concerning the afterlife. Finally, the article suggests an alternative and more parsimonious explanation for understanding intuitive folk representations of the afterlife.
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3

Tappenden, Frederick S. "Embodiment, Folk Dualism, and the Convergence of Cosmology and Anthropology in Paul’s Resurrection Ideals." biblical interpretation 23, no. 3 (July 6, 2015): 428–55. http://dx.doi.org/10.1163/15685152-00230p06.

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While scholarly treatments of Paul rightly understand his cosmology and anthropology as interconnected, two disjunctive tendencies are seldom reconciled. On the one hand, there is a general trend toward viewing Paul’s cosmology through the lens of a Jewish apocalypticism that is dualistically configured; on the other, Paul’s anthropology is usually seen as essentially monistic. This paper redresses this dualism/monism incongruence. By locating Paul within an overlapping matrix of Jewish and Greek traditions of antiquity, we can see the apostle as working within a dualistic framework that is characterized by partitive interrelation rather than opposition. This argument is conceptualized and articulated with an eye toward notions of folk dualism, which cognitive scientists suggest is a natural by-product of human embodiment. Attention is specifically given to 1 Cor. 15:30–50, where Paul envisions a risen existence that is cosmologically and somatically fashioned vis-à-vis such integrative tension.
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4

Bering, Jesse M. "The folk psychology of souls." Behavioral and Brain Sciences 29, no. 5 (October 2006): 453–62. http://dx.doi.org/10.1017/s0140525x06009101.

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The present article examines how people's belief in an afterlife, as well as closely related supernatural beliefs, may open an empirical backdoor to our understanding of the evolution of human social cognition. Recent findings and logic from the cognitive sciences contribute to a novel theory of existential psychology, one that is grounded in the tenets of Darwinian natural selection. Many of the predominant questions of existential psychology strike at the heart of cognitive science. They involve: causal attribution (why is mortal behavior represented as being causally related to one's afterlife? how are dead agents envisaged as communicating messages to the living?), moral judgment (why are certain social behaviors, i.e., transgressions, believed to have ultimate repercussions after death or to reap the punishment of disgruntled ancestors?), theory of mind (how can we know what it is “like” to be dead? what social-cognitive strategies do people use to reason about the minds of the dead?), concept acquisition (how does a common-sense dualism interact with a formalized socio-religious indoctrination in childhood? how are supernatural properties of the dead conceptualized by young minds?), and teleological reasoning (why do people so often see their lives as being designed for a purpose that must be accomplished before they perish? how do various life events affect people's interpretation of this purpose?), among others. The central thesis of the present article is that an organized cognitive “system” dedicated to forming illusory representations of (1) psychological immortality, (2) the intelligent design of the self, and (3) the symbolic meaning of natural events evolved in response to the unique selective pressures of the human social environment.
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Judge, Madeline, Julian W. Fernando, Angela Paladino, and Yoshihisa Kashima. "Folk Theories of Artifact Creation: How Intuitions About Human Labor Influence the Value of Artifacts." Personality and Social Psychology Review 24, no. 3 (February 28, 2020): 195–211. http://dx.doi.org/10.1177/1088868320905763.

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What are the consequences of lay beliefs about how things are made? In this article, we describe a Western folk theory of artifact creation, highlighting how intuitive dualism regarding mental and physical labor (i.e., folk psychology) can lead to the perceived transmission of properties from makers to material artifacts (i.e., folk physics), and affect people’s interactions with material artifacts. We show how this folk theory structures the conceptual domain of material artifacts by differentiating the contemporary lay concepts of art/craft and industrial production, and how it influences people’s evaluations of different types of artifacts and their makers. We propose that the folk theory and lay concepts of art/craft and industrial production are best understood within a specific sociohistorical context, and review potential sources of cross-cultural and cross-temporal variation. We conclude by making recommendations for future research and examining the implications for promoting environmental sustainability and social justice in production systems.
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6

Savulescu, Julian, and Brian D. Earp. "NEUROREDUCTIONISM ABOUT SEX AND LOVE." Think 13, no. 38 (2014): 7–12. http://dx.doi.org/10.1017/s1477175614000128.

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‘Neuroreductionism’ is the tendency to reduce complex mental phenomena to brain states, confusing correlation for physical causation. In this paper, we illustrate the dangers of this popular neuro-fallacy, by looking at an example drawn from the media: a story about ‘hypoactive sexual desire disorder’ in women. We discuss the role of folk dualism in perpetuating such a confusion, and draw some conclusions about the role of ‘brain scans’ in our understanding of romantic love.
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7

Campbell, Anthony. "Hidden Assumptions and the Placebo Effect." Acupuncture in Medicine 27, no. 2 (June 2009): 68–69. http://dx.doi.org/10.1136/aim.2009.000711.

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Whether, or how far, acupuncture effects can be explained as due to the placebo response is clearly an important issue, but there is an underlying philosophical assumption implicit in much of the debate, which is often ignored. Much of the argument is cast in terms which suggest that there is an immaterial mind hovering above the brain and giving rise to spurious effects. This model derives from Cartesian dualism which would probably be rejected by nearly all those involved, but it is characteristic of “folk psychology” and seems to have an unconscious influence on much of the terminology that is used. The majority of philosophers today reject dualism and this is also the dominant trend in science. Placebo effects, on this view, must be brain effects. It is important for modern acupuncture practitioners to keep this in mind when reading research on the placebo question.
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8

Palmquist, Stephen R. "Kant’s Perspectival Solution to the Mind-Body Problem." Culture and Dialogue 4, no. 1 (July 22, 2016): 194–213. http://dx.doi.org/10.1163/24683949-12340010.

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Kant’s Critical philosophy solves Descartes’ mind-body problem, replacing the dualism of the “physical influx” theory he defended in his early career. Kant’s solution, like all Critical theories, is “perspectival,” acknowledging deep truth in both opposing extremes. Minds are not separate from bodies, but a manifestation of them, each viewed from a different perspective. Kant’s transcendental conditions of knowledge portray the mind not as creating the physical world, but as necessarily structuring our knowledge of objects with a set of unconscious assumptions; yet our pre-conscious (pre-mental) encounter with an assumed spatio-temporal, causal nexus is entirely physical. Hence, today’s “eliminative materialism” and “folk psychology” are both ways of considering this age-old issue, neither being an exclusive explanation. A Kantian solution to this version of the mind-body problem is: eliminative materialism is good science; but only folk psychologists can consistently be eliminative materialists. Indeed, the mind-body problem exemplifies a feature of all cultural situations: dialogue between opposing perspectives is required for understanding as such to arise.
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9

Sholahudin, Umar, Hotman Siahaan, and Herlambang Perdana Wiratraman. "A Relational Analysis of State Law and Folk Law in the Bongkoran Agrarian Conflicts, Banyuwangi Regency, East Java, Indonesia." Society 8, no. 2 (September 30, 2020): 419–36. http://dx.doi.org/10.33019/society.v8i2.195.

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Apart from having a socio-economic dimension, agrarian conflicts in Bongkoran, Banyuwangi Regency, East Java Province, Indonesia, also have a legal dimension. There is a dualism of law that is conflictual in terms of land tenure and use claims. One party, the government, and corporations rely on legalistic-positivistic state laws, while local people rely on folk law, namely informal laws that have existed, lived, and developed in communal society for generations. This research focuses on how the sociological perspective of law analyzes the legal conflicts that occur in Bongkoran agrarian conflict, particularly between state law and folk law. This research used a qualitative method with a legal sociology perspective. The research subjects were farmers/people of Bongkoran, Community Legal Advisors (CLA), Government (Local Government, National Land Agency, and Police), and corporate elements (PT Wongsorejo). Informants were selected using a purposive sampling technique, based on certain considerations that can be recognized beforehand, namely recognizing and understanding the problem under this research. Data collection was conducted through observation, in-depth interviews, and documentation. The collected data were analyzed qualitatively by referring to the perspectives that have been presented. The results indicated that the resolution of agrarian conflicts in Bongkoran requires the implementation of laws that are more just for local communities. The implementation of the laws is not only based on rigid articles in the law, but it needs attention to the socio-cultural and historical context of the community. The dominance of state law over folk law in agrarian conflicts results in the practice of subjugation of state law to folk law, both persuasively and repressively. Therefore, to minimize the tension and conflict between state law and folk law in agrarian conflicts, it is necessary to have a new understanding of the relationship between the two laws. The existence and enforcement of folk law are used as a complementary element in normative aspects that have not been regulated in state law.
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10

Veltman, Robert. "The silence of the words." Functions of Language 5, no. 1 (January 1, 1998): 57–84. http://dx.doi.org/10.1075/fol.5.1.04vel.

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This study argues for a reformulation of the semiotic and characteristically linguistic construct of Duality of Patterning. Since the Duality principle was originally formulated, linguists have generally accepted the 'barrier' enshrined in Duality, said to separate the levels of Expression (in particular, its Phonological component) and Wording (Vocabulary and Grammar). However, there was always criticism of the strong formulations of Duality, some from precursors of functional models of language, notably Systemic-Functional Grammar (SFG). On the other hand, although SFG has made a rich and original contribution to the understanding of intonation systems and has controversially defended a 'natural', permeable relation between Wording and Meaning, it has allowed the principle of Duality to be treated uncontroversially. There are also a number of flourishing misunderstandings about Duality, which this study will explain and rectify: its alleged bond with Arbitrariness and with 'meaningless' phonemes rather than contrastive phonetic features. In this study, Duality is characterised as a permeable relation rather than a strict barrier. Much evidence in natural languages and in the literature supports this less rigid view of Duality: Pike, Jakobson, Firth and, more recently, Halliday (1992) following Lemke (1984).
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11

WANG, WEIQIANG. "DUALITY IN INFINITE DIMENSIONAL FOCK REPRESENTATIONS." Communications in Contemporary Mathematics 01, no. 02 (May 1999): 155–99. http://dx.doi.org/10.1142/s0219199799000080.

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We construct and study in detail various dual pairs acting on some infinite dimensional Fock representations between a finite dimensional classical Lie group and a completed infinite rank affine algebra associated to an infinite affine Cartan matrix. We give explicit decompositions of a Fock representation into a direct sum of irreducible isotypic subspaces with respect to the action of a dual pair, present explicit formulas for the highest weight vectors and calculate the corresponding highest weights. We further outline applications of these dual pairs to the study of tensor products of modules of such an infinite dimensional Lie algebra.
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12

Rzepnikowska, Iwona. "THE DEAD IN POLISH FOLK PROSE." Folklore: structure, typology, semiotics 3, no. 1 (2020): 128–43. http://dx.doi.org/10.28995/2658-5294-2020-3-1-128-143.

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The paper dwells upon the image of the dead in tales of the two plot types, namely, T 366 “Trup upomina się o swoją własność” (АТU 366 “The Man from the Gallows”) and T 470* “Zmarły urażony” (АТU 470А “The Offended Skull”), formally classified by the author of the Polish folk prose index as fairy tales, but they are in fact in full compliance with basic genre conventions of mythological tales (fabulates). Therefore, the dead in those plot types act not as the fairy-tale but mythological character. Nominations, as well as certain other features, of the “otherworld” characters in those narratives reflect the duality of folk perceptions regarding a person’s lot after their demise. The dead are perceived as scary creatures that pose danger – but the reason for that lies in the humans’ own trespassing against the dead: disturbing their rest. The degree to which the dead are portrayed as demonic, that is, ungracious and vengeful towards the humans, varies and is expressed both in the plot types being compared in general and in specific textual realizations of the same plot.
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13

Eichberg, Henning. "Modernitetens modsigelser. Konfigurationskonflikter og samfundstænkning i Grundtvigs »Om Mennesket i Verden«." Grundtvig-Studier 49, no. 1 (January 1, 1998): 142–56. http://dx.doi.org/10.7146/grs.v49i1.16275.

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Contradictions of Modernity. Conflicting Configurations and Societal Thinking in Grundtvig's »The Human Being in the World«A Worm - a God. About the Human Being in the World. Ove Korsgaard (ed.). With contributions of Niels Buur Hansen, Hans Hauge, Bosse Bergstedt, Uffe Jonas and Knud Bjarne Gjesing. Odense Universitetsforlag 1997.By Henning EichbergIn 1817, Grundtvig wrote »Om Mennesket i Verden« which can be regarded as a key to the understanding of his philosophy and psychology, but which is difficult to place in relation to his later folkelig, societal engagement. A recent reedition of this text together with some actual comments by Grundtvig researchers is an occasion to quest deeper about this relation.However, it is not enough to ask - as Grundtvig research has done for a long time - what Grundtvig wanted to say, but his text can be regarded as a document of how modem orientation in the world is characterized by conflicting linguistic and metaphorical patterns, which sometimes may tell another story than intended.On the one hand, Grundtvig's text speaks of a lot of dualistic contradictions such as life vs. death, light vs. darkness, truth vs. lie, God vs. devil, human fall vs. resurrection, body vs. spirit, nature vs. history and time vs. eternity. In contrast to the author's intention to produce clarity and lucidity - whether in the spirit of Christianity or of modem rationality - the binary constructions give rather a confusing picture of systematical disorder where polarity and polemics are mixed, antagonism and gradual order, dichotomy and exclusive either-or, paradoxes and dialectical contradictions. On the other hand,Grundtvig tries again and again to build up three-pole imaginations as for instance the threefold human relation to time, space and truth and the three ages of spiritual seeing, feeling and conceptualization resp. of mythology (childhood), theology (youth) and history (adult age). The main history, Grundtvig wants to tell in his text, is built up around the trialectic relation of the human being to the body, to the spirit and to itself, to the living soul.The most difficult to understand in this relation seems to be what Grundtvig calls the spirit, Aanden. Grundtvig describes it as Aandigt Samfund mellem Menneske og Sandhed, »the spiritual community between the human being and the truth«, and this may direct our attention towards samfund, meaning at the same time association, togetherness and society. Aanden is described by threefold effects - will, conscience and faith, all of them describing social relations between human beings resp. their psychological correlate. The same social undertone is true when Grundtvig characterizes three Aande-Livets Spor (»traces of spiritual life«): the word, the history and love. If »the spirit« represents what is larger or »higher« than the single human being and what cannot be touched by his or her hand, then this definition fits exactly to society or the sociality of the human being. Social life - whether understood as culture, social identity or folk (people) - is not only a quantitative sum of human individuals, but represents another quality of natural order. Thus it has its logic that Grundtvig places the human being in between the realms of minerals, plant and animal life on the one hand and the »higher« order on the other, which can be understood as the social existence.In this respect, the societal dimension is not at all absent in his philosophy of 1817. However, it is not enough to state the implicite presence of sociality as such in the earlier Grundtvigian thinking before his folkelig break-through. What was the sociality, more concretely, which Grundtvig experienced during the early modernity? In general, highly dichotomous concepts are dominating the modem discourse as capitalism vs. feudalism, materialism vs. idealism, modernity vs. premodemity, democracy vs. absolutism or revolution vs. restoration; Grundtvig was always difficult to place into these patterns. Again, it might be helpful to try a trialectical approach, transcending the dualism of state and market by civil society as a third field of social action. Indeed, it was civil society with its farmers' anarchist undertones which became the contents of Grundtvig's later folk engagement.
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14

Kwon, Jae-Hoon, and Euiyong Park. "Duality on Fock spaces and combinatorial energy functions." Journal of Combinatorial Theory, Series A 134 (August 2015): 121–46. http://dx.doi.org/10.1016/j.jcta.2015.03.005.

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15

GREENLEES, J. P. C., and G. R. WILLIAMS. "POINCARÉ DUALITY FORK-THEORY OF EQUIVARIANT COMPLEX PROJECTIVE SPACES." Glasgow Mathematical Journal 50, no. 1 (January 2008): 111–27. http://dx.doi.org/10.1017/s0017089507003990.

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16

Gonessa, Jocelyn. "Duality of Fock spaces with respect to the minimal norm." Archiv der Mathematik 100, no. 5 (May 2013): 439–47. http://dx.doi.org/10.1007/s00013-013-0512-5.

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17

Lou, Zengjian, Kehe Zhu, and Zhengyuan Zhuo. "Atomic decomposition and duality for a class of Fock spaces." Complex Variables and Elliptic Equations 64, no. 11 (February 20, 2019): 1905–31. http://dx.doi.org/10.1080/17476933.2019.1571049.

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18

El-Zanati, S., G. Seelinger, P. Sissokho, L. Spence, and C. Vanden Eynden. "On λ-fold partitions of finite vector spaces and duality." Discrete Mathematics 311, no. 4 (February 2011): 307–18. http://dx.doi.org/10.1016/j.disc.2010.10.026.

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19

Camassa, Paolo. "Relative Haag Duality for the Free Field in Fock Representation." Annales Henri Poincaré 8, no. 8 (November 22, 2007): 1433–59. http://dx.doi.org/10.1007/s00023-007-0341-9.

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20

Thuan, Vo Van. "Klein-Gordon-Fock equation from Einstein general relativity." Communications in Physics 26, no. 2 (September 27, 2016): 181. http://dx.doi.org/10.15625/0868-3166/26/2/7866.

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A time-space symmetry based cylindrical model of geometrical dynamics was proposed. Accordingly, the solution of Einstein gravitational equation in vacuum has a duality: an exponential solution and a wave-like one. The former leads to a "microscopic" cosmological model with Hubble expansion. Due to interaction of a Higgs-like cosmological potential, the original time-space symmetry is spontaneously broken, inducing a strong time-like curvature and a weak space-like deviation curve. In the result, the wave-like solution leads to Klein-Gordon-Fock equation which would serve an explicit approach to the problem of consistency between quantum mechanics and general relativity.
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21

Foltyn-Zarychta, Monika. "The Dilemmas of Public Vs. Private Goods Discounting for Long-Term Investment Appraisal: The Puzzle of Citizen and Consumer Approaches to Valuation." Folia Oeconomica Stetinensia 20, no. 2 (December 1, 2020): 114–33. http://dx.doi.org/10.2478/foli-2020-0039.

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Abstract Research background: An investment appraisal applies a single discount rate across all effects. However, this may be insufficient for heterogenous environmental impacts, mixing private and public goods as well as use and non-use values, where individuals may have multiple intertemporal preferences due to their duality to act as consumer or citizen. Purpose: The paper aims at identifying the scope of discrepancies in the level of discount rate for public and private as well as use-and non-use investment gains. Research methodology: The contingent valuation method is used to elicit stated discount rates for 2 hypothetical investments: environmental or financial gains to distinguish between public and private domain accompanied by two time-frames: short (use values) and long (non-use values). Results: The discount rate for the environment is lower than for money. It is also lower for the long-term horizon in comparison with the short-term perspective. The discrepancies are observed also for explanatory variables in respect to a socio-economic profile and attitude characteristics. Novelty: The paper adds to the discussion on valuation discrepancies between self-interested consumers and socially oriented citizens. The scarcity of previous research examining discount rates for public/private goods as well as the short/long-time horizon make the results relevant for public policy dealing with climate change and environmental protection, providing an insight into individual intertemporal preferences.
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KIKUCHI, TORU, TAKASHI OKADA, and YUHO SAKATANI. "GENERALIZED LIE TRANSPORTED STRING IN T-FOLD WITH GENERALIZED KILLING VECTOR." International Journal of Modern Physics: Conference Series 21 (January 2013): 169–70. http://dx.doi.org/10.1142/s2010194513009653.

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After constructing the [Formula: see text]-brane background, which is a T-fold in string theory, from a D7-brane via U-duality, we derived the fundamental string solution rotating around it. Reflecting that the [Formula: see text] background is not axisymmetric, the string solution also changes its shape during its rotation. However, we found that the [Formula: see text] background is indeed axisymmetric in the sense of doubled geometry, by explicitly finding a generalized Killing vector. Moreover, the string charge density vector is found to be generalized Lie transported along the generalized Killing vector.
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JI, UN CIG, NOBUAKI OBATA, and HABIB OUERDIANE. "ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION." Infinite Dimensional Analysis, Quantum Probability and Related Topics 05, no. 03 (September 2002): 395–407. http://dx.doi.org/10.1142/s0219025702000912.

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Duality is established for new spaces of entire functions in two infinite dimensional variables with certain growth rates determined by Young functions. These entire functions characterize the symbols of generalized Fock space operators. As an application, a proper space is found for a solution to a normal-ordered white noise differential equation having highly singular coefficients.
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Adams, Jeffrey, and Peter E. Trapa. "Duality for nonlinear simply laced groups." Compositio Mathematica 148, no. 3 (March 19, 2012): 931–65. http://dx.doi.org/10.1112/s0010437x11007354.

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AbstractWe establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us to extend part of the formalism of the local Langlands conjecture to such groups.
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Momeni, Davood, and Phongpichit Channuie. "Fold bifurcation entangled surfaces for one-dimensional Kitaev lattice model." International Journal of Geometric Methods in Modern Physics 18, no. 10 (June 14, 2021): 2150151. http://dx.doi.org/10.1142/s0219887821501516.

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In this paper, we investigate a feasible holography with the Kitaev model using dilatonic gravity in AdS2. We propose a generic dual theory of gravity in the AdS2 and suggest that this bulk action is a suitable toy model in studying quantum mechanics in Kitaev model using gauge/gravity duality. This gives a possible equivalent description for the Kitaev model in the dual gravity bulk. Scalar and tensor perturbations are investigated in details. In the case of near AdS perturbation, we show that the geometry still “freezes” as is AdS, while the dilation perturbation decays at the AdS boundary safely. The time-dependent part of the perturbation is an oscillatory model. We discover that the dual gravity induces an effective and renormalizable quantum action. The entanglement entropy for bulk theory is computed using extremal surfaces. We prove that these surfaces have a fold bifurcation regime of criticality.
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Liu, Youqi, and Xiaofeng Wang. "Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators." Journal of Function Spaces 2021 (February 5, 2021): 1–17. http://dx.doi.org/10.1155/2021/6619459.

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In this paper, dual spaces of large Fock spaces F ϕ p with 0 < p < ∞ are characterized. Also, algebraic properties and equivalent conditions for compactness of weakly localized operators are obtained on F ϕ p 0 < p < ∞ .
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Рубцова, Флоренс, Florens Rubtsova, Елена Сахарчук, and Elena Sakharchuk. "Major lines of development for arts and crafts museums in the Moscow region." Universities for Tourism and Service Association Bulletin 8, no. 3 (September 2, 2014): 33–39. http://dx.doi.org/10.12737/5548.

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The article covers the major lines of the Moscow Region arts and crafts museum development, with the authors proceeding from the belief in the duality of the folk arts and crafts nature, which is both a powerful tourist resource and a significant tourist attractor, it being seen by tourists as a product and an image-building constituent of the destination. The authors hold that Moscow-region artisantry is unique due its relative abundance and the recognized brand. The authors come to a conclusion on the significance of folk arts and crafts for a sustainable regional/territorial development based on their job creation contribution; tourist offer promotion and tourist-oriented infrastructure development entailing creating new employment opportunities, souvenir production, tax liabilities etc. The authors insist that museum-initiated arts-and-crafts market-driven production be coordinated and further developed. In the article, the authors suggest creating a coordinating artisantry committee and provide a calculation of the performance targets of Moscow region tourism development with due regard to the progressive growth of folk arts and crafts.
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Fukuda, Masayuki, Yusuke Ohkubo, and Jun’ichi Shiraishi. "Generalized Macdonald Functions on Fock Tensor Spaces and Duality Formula for Changing Preferred Direction." Communications in Mathematical Physics 380, no. 1 (October 16, 2020): 1–70. http://dx.doi.org/10.1007/s00220-020-03872-4.

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Manderscheid, David. "Supercuspidal Duality for the Two-Fold Cover of SL 2 and the Split O 3." American Journal of Mathematics 107, no. 6 (December 1985): 1305. http://dx.doi.org/10.2307/2374408.

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Donnachie, A. "REFLECTIONS ON AMPLITUDE ANALYSIS." International Journal of Modern Physics A 18, no. 03 (January 30, 2003): 355–66. http://dx.doi.org/10.1142/s0217751x03014277.

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The role of analyticity in partial wave analysis is emphasized and the concept of two-component duality is introduced and illustrated with examples from π N scattering. An intrinsic n-fold ambiguity in partial wave analysis is discussed in terms of Barrelet zeros and techniques for removing the ambiguities are outlined. The problems of resonance backgrounds are touched upon.
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31

Hu, Zhangjian, and Jani A. Virtanen. "Fredholm Toeplitz operators with VMO symbols and the duality of generalized Fock spaces with small exponents." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150, no. 6 (December 2, 2019): 3163–86. http://dx.doi.org/10.1017/prm.2019.65.

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AbstractWe characterize Fredholmness of Toeplitz operators acting on generalized Fock spaces of the n-dimensional complex space for symbols in the space of vanishing mean oscillation VMO. Our results extend the recent characterizations for Toeplitz operators on standard weighted Fock spaces to the setting of generalized weight functions and also allow for unbounded symbols in VMO for the first time. Another novelty is the treatment of small exponents 0 < p < 1, which to our knowledge has not been seen previously in the study of the Fredholm properties of Toeplitz operators on any function spaces. We accomplish this by describing the dual of the generalized Fock spaces with small exponents.
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32

Kopeliuk, O. O. "First Piano Concerto by Ivan Karabyts in terms of the renewal of concertо genre in Ukraine." Problems of Interaction Between Arts, Pedagogy and the Theory and Practice of Education 56, no. 56 (July 10, 2020): 8–29. http://dx.doi.org/10.34064/khnum1-56.01.

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Background. The political and cultural movement of the “Sixtiers” in XX century opened wide horizons for Ukrainian composers to search for a new artistic and imaginative sphere, for new means of expressiveness, stylistics, form etc. The aspirations of young Ukrainian composers for concert genre renewal are realized through a rethinking of reality, intellectual and philosophical searching and psychologism in creativity. One of the brightest creative assets of this time is the First Piano Concerto by Ivan Karabyts, the talented Ukrainian composer, the outstanding representative of Ukrainian musical art of the last third of the 20th century. Among the studies of the last five years, and also of all the scientific research of the 21st century, we, unfortunately, cannot find any scientific study devoted to one of the largest conceptual works of the early period of creativity by I. Karabyts, which is the First Piano Concerto, and, therefore, this research can be called a unique one in modern musicology. In 1983, H. Yermakova provided only the general description of the Concerto in her small monograph. The author says about emotional tension and explosiveness that are the main features of the Concerto. The objectives of this article is to identify the model of the First Piano Concerto as a typological structure in terms of the renewal of the concert genre in Ukraine in the 1960s, through the analysis of embodiment of stylistic patterns and intonational dramaturgy of the work. Research methodology is focused on the interrelation of specific ways of analysis: functional, structural, intonational, genre, stylistic. Results. The First Piano Concerto was created by the 23-year-old composer in 1968 and was dedicated to B.Liatoshynskyi, reflecting the Teacher’s professional pedagogical credo. The First Piano Concerto based on emotional and imaginative contrasts and becomes a clear expression of dramaturgy development. The work’s concept carries the traces of experiments used by the young composer, which is reflected on the use of serial writing, cinematic editing (kaleidoscopic change of the thematic material “on the dramatic circles” of the two-part cycle), dissonance harmony. One of the basic principle of thinking is polyphonic development: imitations, canons, counterpoints, fugato, the principle of “countermovements” of voices, chorals are widely used. The two-part Concerto vividly presents the early work of I. Karabyts, highlights his distinctly individual style. The monumental purpose of this cyclical composition and its conceptualism strikes with its depth reflecting the collision of good and evil, sublime and earthly The First Movement exposition represents the main themes alternation, which extends from the theme-epigraph and the main soloist part in the beginning; bridge and its episode of fugato, second theme and closing area are highlighted also. The compositional features analysis of developing part shows the composer’s desire for a certain emotional quality of the thematic material, the main figurative lines are revealed from the very beginning. Each of themes gets the development of its material and its progressive dynamization, which process being often interrupted at its peak. Meaningful is the Coda of the First Movement, which fully implements the idea of “black-and-white palette” of the cluster chords, which can be interpreted as the idea of dualism of the world picture, embodying, for example, in Eastern philosophy as the sacred symbol of “Yin-Yang”. It can be said that the main meaning of the Code is to identify and understand the fundamental model of being, which is constantly changing and complementary. The Interlude, as a link between the first and second movements of the Concerto is fully consistent with the idea of continuation of the process and justifies smooth transition from one state to another. The Finale of the Concerto after the impromptu Interlude perceives as a vivid sketch in folk spirit connected with the traditions of folk genre principles reproduction and emerges as proof of life extension. The texture of the basic material is presented in a toccata manner, due to the alternation of weak and strong micro- and macrobeats in both parts of pianist’s hands. The middle part of the Finale is created in three-part format. The main section sets a certain rhythmic pulse. The introduction of quintuple (5/8) is innovative. The middle section of the middle part represents the choral is bringing us back to medieval music origins. Conclusions. The composer’s style of early I. Karabyts is distinguished by the scale and integrity of the artistic concepts of works that is typical of the entire Ukrainian national school, the use of variant and polyphonic techniques for the development of thematism, the timbre-orchestral and texture diversity. The First Piano Concerto of the composer is endowed with rich thematicism and vivid contrast of images, marked by the activity of the dramatic process based on dialogicity, due to the general philosophical concept of the work – the confrontation of the spiritual and anti-spiritual. Along with the conflict line, the Concerto presents the sphere of contemplatively dreamy, sensual lyrics. The First Movement in the dramaturgy of the cycle reveals the philosophy of life, its deep spirituality in coexistence with the forces of evil that bring destruction, accompanying the hero’s life path from birth to death, with all its collisions and intentions. The Finale is the continuation of being, movement (it represents the toccata material). The composer creates a concertо of a conflict-dramatic type, the dramaturgy of which is realized as an interaction of dramatic, lyrical and epic-dramatic principles. Conceptuality is revealed through the interaction of objective and subjective plans, where genre allusions acquire a certain semantic meaning (the introduction of a waltz and choral episodes, the toccata manner in “perpetuum mobile” image). The impulsive rhythmic development, the richness of harmonious sound, the wide timbre palette of the piano and orchestra make the Concert emotionally intense, romantic. The Concert uses a full register spectrum of pianos and a wide arsenal of its techniques, which allows the soloist to embody his performing abilities and recreate the concept of composer’s concept. The First Concerto embodies the philosophical theme, which is revealed through the procedural model of the endless circle “life-death-life”, continuing the line of the symphonic instrumental concerto, vividly presented in Ukrainian music of the 20 century by B. Liatoshinskyi, with allusions to Baroque genres (toccata, chorale) and with active use of polyphonic methods of development (in particular, the introduction of the episode of fugato).
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33

HAYASHI, MITSUO J., TOMOKI WATANABE, ICHIRO AIZAWA, and KOICHI AKETO. "DILATONIC INFLATION AND SUSY BREAKING IN STRING-INSPIRED SUPERGRAVITY." Modern Physics Letters A 18, no. 39 (December 21, 2003): 2785–93. http://dx.doi.org/10.1142/s0217732303012465.

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The theory of inflation will be investigated as well as supersymmetry breaking in the context of supergravity, incorporating the target-space duality and the nonperturbative gaugino condensation in the hidden sector. We found an inflationary trajectory of a dilaton field and a condensate field which breaks supersymmetry at once. The model satisfies the slow-roll condition which solves the η-problem. When the particle rolls down along the minimized trajectory of the potential V(S,Y) at a duality invariant point of T=1, we can obtain the e-fold value ~57. And then the cosmological parameters obtained from our model well match the recent WMAP data combined with other experiments. This observation suggests one to consider the string-inspired supergravity as a fundamental theory of the evolution of the universe as well as the particle theory.
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34

Hu, Shan, and Tianjun Li. "Radial quantization of the 3d CFT and the higher spin/vector model duality." International Journal of Modern Physics A 29, no. 26 (October 16, 2014): 1450147. http://dx.doi.org/10.1142/s0217751x14501474.

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We study the radial quantization of the 3dO(N) vector model. We calculate the higher spin charges whose commutation relations give the higher spin algebra. The Fock states of higher spin gravity in AdS4 are realized as the states in the 3d CFT. The dynamical information is encoded in their inner products. This serves as the simplest explicit demonstration of the CFT definition for the quantum gravity.
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35

Todorov, Ivan. "Gauge Symmetry and Howe Duality in 4D Conformal Field Theory Models." Advances in Mathematical Physics 2010 (2010): 1–12. http://dx.doi.org/10.1155/2010/509538.

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It is known that there are no local scalar Lie fields in more than two dimensions. Bilocal fields, however, which naturally arise in conformal operator product expansions, do generate infinite Lie algebras. It is demonstrated that these Lie algebras of local observables admit (highly reducible) unitary positive energy representations in a Fock space. The multiplicity of their irreducible components is governed by a compact gauge group. The mutually commuting observable algebra and gauge group form a dual pair in the sense of Howe. In a theory of local scalar fields of conformal dimension two in four space-time dimensions the associated dual pairs are constructed and classified.
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36

Ajdačić, Dejan. "Vukodlaci – oborotnji i psoglavci u odabranoj slovenskoj prozi 19. veka." Poznańskie Studia Slawistyczne, no. 20 (September 22, 2021): 159–74. http://dx.doi.org/10.14746/pss.2021.20.9.

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The author analyzes the origins and characteristics of werewolves (human-wolves) and lycanthropus (human-dogs) as dual-natured beings within Slavic folk beliefs. He also analyzes the way their mythological properties transform through literature. The werewolf’s mythos is approached through texts of 19th century authors, Russians Orest Somov (Oboroten: narodnaja skazka, 1829) and Alexander Kuprin (Serebrjanyj volk, 1901) and the Pole from Belarus Jan Barszczewski(Wilkołak, 1844), while the lycanthrope’s is viewed through the lens of the literary fairy tale by Serbian Joksim Nović Otočanin (Vrzino kolo i Zlatni i Alem-grad, 1864). The author puts focus on symbolism, specifically that of the human-beast dichotomy. The literary representation of this man-beast duality in 19th century Slavic written prose indicates a fantasy view of the coexistence between beast and man – the beastly in men, or the human in beasts.
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37

Lavrenov, А. N., and I. A. Lavrenov. "Howe duality of Higgs – Hahn algebra for 8D harmonic oscillator." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 55, no. 2 (June 28, 2019): 216–24. http://dx.doi.org/10.29235/1561-2430-2019-55-2-216-224.

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In the light of the Howe duality, two different, but isomorphic representations of one algebra as Higgs algebra and Hahn algebra are considered in this article. The first algebra corresponds to the symmetry algebra of a harmonic oscillator on a 2-sphere and a polynomially deformed algebra SU(2), and the second algebra encodes the bispectral properties of corresponding homogeneous orthogonal polynomials and acts as a symmetry algebra for the Hartmann and certain ring-shaped potentials as well as the singular oscillator in two dimensions. The realization of this algebra is shown in explicit form, on the one hand, as the commutant O(4) ⊕ O(4) of subalgebra U(8) in the oscillator representation of universal algebra U (u(8)) and, on the other hand, as the embedding of the discrete version of the Hahn algebra in the double tensor product SU(1,1) ⊗ SU(1,1). These two realizations reflect the fact that SU(1,1) and U(8) form a dual pair in the state space of the harmonic oscillator in eight dimensions. The N-dimensional, N-fold tensor product SU(1,1)⊗N аnd q-generalizations are briefly discussed.
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38

Carlisle, David P., and Grant Walker. "Poincaré series for the occurrence of certain modular representations of GL(n,p) in the symmetric algebra." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 113, no. 1-2 (1989): 27–41. http://dx.doi.org/10.1017/s0308210500023933.

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SynopsisThe number of occurrences of the Steinberg representation St of GL(n, p) as a composition factor in the symmetric algebra Fp[x1, … xn] has been determined by several authors. We extend this result to the representations of GL(n, p) which are the closest neighbours of St in the SL(n, p) weight diagram. The method is to play off duality for GL(n, p)-modules against connectivity for M(n, p)-modules. The result is equivalent to determining the cohomology groups of the corresponding indecomposable stable summands of the localisation of an n-fold product of complex projective spaces at the prime p.
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39

Wolpert, Scott A. "Products of twists, geodesic lengths and Thurston shears." Compositio Mathematica 151, no. 2 (October 9, 2014): 313–50. http://dx.doi.org/10.1112/s0010437x1400757x.

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AbstractThurston introduced shear deformations (cataclysms) on geodesic laminations–deformations including left and right displacements along geodesics. For hyperbolic surfaces with cusps, we consider shear deformations on disjoint unions of ideal geodesics. The length of a balanced weighted sum of ideal geodesics is defined and the Weil–Petersson (WP) duality of shears and the defined length is established. The Poisson bracket of a pair of balanced weight systems on a set of disjoint ideal geodesics is given in terms of an elementary$2$-form. The symplectic geometry of balanced weight systems on ideal geodesics is developed. Equality of the Fock shear coordinate algebra and the WP Poisson algebra is established. The formula for the WP Riemannian pairing of shears is also presented.
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40

Wang, Guang, Yixuan Shen, Yujiao Jiang, and Jiahao Chen. "The Scalar Mean Chance and Expected Value of Regular Bifuzzy Variables." Symmetry 13, no. 8 (August 4, 2021): 1428. http://dx.doi.org/10.3390/sym13081428.

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As a natural extension of the fuzzy variable, a bifuzzy variable is defined as a mapping from a credibility space to the collection of fuzzy variables, which is an appropriate tool to model the two-fold fuzzy phenomena. In order to enrich its theoretical foundation, this paper explores some important measures for regular bifuzzy variables, the most commonly used type of bifuzzy variables. Firstly, we introduce the regular bifuzzy variables’ mean chance measure and some properties, including self-duality and its calculation formulas. Furthermore, we also investigate the mean chance distribution for strictly monotone functions of regular bifuzzy variables based on the proposed operational law. Finally, we present the expected value operator as well as equivalent analytical formulas of the expected value of regular bifuzzy variables and their strictly monotone functions.
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41

Gross, David, Sepehr Nezami, and Michael Walter. "Schur–Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations." Communications in Mathematical Physics 385, no. 3 (June 29, 2021): 1325–93. http://dx.doi.org/10.1007/s00220-021-04118-7.

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AbstractSchur–Weyl duality is a ubiquitous tool in quantum information. At its heart is the statement that the space of operators that commute with the t-fold tensor powers $$U^{\otimes t}$$ U ⊗ t of all unitaries $$U\in U(d)$$ U ∈ U ( d ) is spanned by the permutations of the t tensor factors. In this work, we describe a similar duality theory for tensor powers of Clifford unitaries. The Clifford group is a central object in many subfields of quantum information, most prominently in the theory of fault-tolerance. The duality theory has a simple and clean description in terms of finite geometries. We demonstrate its effectiveness in several applications: We resolve an open problem in quantum property testing by showing that “stabilizerness” is efficiently testable: There is a protocol that, given access to six copies of an unknown state, can determine whether it is a stabilizer state, or whether it is far away from the set of stabilizer states. We give a related membership test for the Clifford group. We find that tensor powers of stabilizer states have an increased symmetry group. Conversely, we provide corresponding de Finetti theorems, showing that the reductions of arbitrary states with this symmetry are well-approximated by mixtures of stabilizer tensor powers (in some cases, exponentially well). We show that the distance of a pure state to the set of stabilizers can be lower-bounded in terms of the sum-negativity of its Wigner function. This gives a new quantitative meaning to the sum-negativity (and the related mana) – a measure relevant to fault-tolerant quantum computation. The result constitutes a robust generalization of the discrete Hudson theorem. We show that complex projective designs of arbitrary order can be obtained from a finite number (independent of the number of qudits) of Clifford orbits. To prove this result, we give explicit formulas for arbitrary moments of random stabilizer states.
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42

Andres, Michael, Matthias Maischak, and Ernst P. Stephan. "Dual-Dual Formulation for a Contact Problem with Friction." Computational Methods in Applied Mathematics 16, no. 1 (January 1, 2013): 1–16. http://dx.doi.org/10.1515/cmam-2015-0021.

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AbstractA variational inequality formulation is derived for some frictional contact problems from linear elasticity. The formulation exhibits a two-fold saddle point structure and is of dual-dual type, involving the stress tensor as primary unknown as well as the friction force on the contact surface by means of a Lagrange multiplier. The approach starts with the minimization of the conjugate elastic potential. Applying Fenchel's duality theory to this dual minimization problem, the connection to the primal minimization problem and a dual saddle point problem is achieved. The saddle point problem possesses the displacement field and the rotation tensor as further unknowns. Introducing the friction force yields the dual-dual saddle point problem. The equivalence and unique solvability of both problems is shown with the help of the variational inequality formulations corresponding to the saddle point formulations, respectively.
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43

KUZNETSOV, A., L. MANIVEL, and D. MARKUSHEVICH. "ABEL–JACOBI MAPS FOR HYPERSURFACES AND NONCOMMUTATIVE CALABI–YAU'S." Communications in Contemporary Mathematics 12, no. 03 (June 2010): 373–416. http://dx.doi.org/10.1142/s021919971000383x.

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It is well known that the Fano scheme of lines on a cubic 4-fold is a symplectic variety. We generalize this fact by constructing a closed (2n - 4)-form on the Fano scheme of lines on a (2n - 2)-dimensional hypersurface Yn of degree n. We provide several definitions of this form — via the Abel–Jacobi map, via Hochschild homology, and via the linkage class — and compute it explicitly for n = 4. In the special case of a Pfaffian hypersurface Yn we show that the Fano scheme is birational to a certain moduli space of sheaves of a (2n - 4)-dimensional Calabi–Yau variety X arising naturally in the context of homological projective duality, and that the constructed form is induced by the holomorphic volume form on X. This remains true for a general non-Pfaffian hypersurface but the dual Calabi–Yau becomes noncommutative.
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44

Nriezedi-Anejionu, Chinenyendo. "Could the Non-domestication of Nigerian Treaties Affect International Energy Investment Attraction into the Country?" African Journal of International and Comparative Law 28, no. 1 (February 2020): 122–44. http://dx.doi.org/10.3366/ajicl.2020.0305.

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In a bid to attract foreign direct investments (FDI) into the energy sector, Nigeria has signed many investment and energy-related treaties. However, many of these treaties have not been ratified and domesticated as required by the 1999 Nigerian Constitution and as such cannot be applied by domestic courts when necessary. This raises serious legal questions on the status of the various energy investment-relevant treaties Nigeria has signed. This is especially relevant to bilateral investment treaties (BITs) where their non-domestication renders their provisions not legally binding on domestic courts. It becomes problematic in situations where certain provisions in BITs such as the exhaustion of local remedies (ELR), fork-in-the-road (FITR), denial of justice and expropriation claims, require disputes to be addressed (at least initially) in domestic courts before international arbitration is accessed. This article provides an analysis of various ways non-domestication of treaties could affect the investment interests of a dualist country such as Nigeria that is actively seeking to attract FDI for the development of its energy sector. Pointing out the implications and various ways both investors' and Nigeria's interests could be undermined, it argues for a reform in the way treaties are implemented in Nigeria to facilitate their domestication.
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45

Thuan, Vo Van, and Nguyen Thi Kim Thoa. "The Modern Induced Matter Approach of General Relativity for Quantum Mechanics." Communications in Physics 26, no. 3 (February 8, 2017): 209. http://dx.doi.org/10.15625/0868-3166/26/3/8956.

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Wesson and his co-workers developed so-called space-time-matter theory (5D-STM) as a generalization of Kaluza-Klein theory, where the extra-dimension in the 5D space-time is no more compacted, but keeping extended in a macroscopic scale to describe the properties of matter in 4D physics. In a trend of 5D-STM approach (or the induced-matter theory), following a bi-cylindrical model of geometrical dynamics, a recent study has shown that the higher 6D-dimensional gravitational equation leads to bi-geodesic description in an extended timespace symmetry which fits Hubble expansion in a ”microscopic” cosmological model. As a duality, the geodesic solution is mathematically equivalent to the basic Klein-Gordon-Fock equations of free massive elementary particles. The 4D-embedded dual solutions of the higher dimensional gravitational equation could shed light on origin of physical reality in quantum mechanics, which is to compare with the achievements of the 5D-STM theory.
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46

Ngoc Diep, Do. "A Quantization Procedure of Fields Based on Geometric Langlands Correspondence." International Journal of Mathematics and Mathematical Sciences 2009 (2009): 1–14. http://dx.doi.org/10.1155/2009/749631.

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We expose a new procedure of quantization of fields, based on the Geometric Langlands Correspondence. Starting from fields in the target space, we first reduce them to the case of fields on one-complex-variable target space, at the same time increasing the possible symmetry groupGL. Use the sigma model and momentum maps, we reduce the problem to a problem of quantization of trivial vector bundles with connection over the space dual to the Lie algebra of the symmetry groupGL. After that we quantize the vector bundles with connection over the coadjoint orbits of the symmetry groupGL. Use the electric-magnetic duality to pass to the Langlands dual Lie groupG. Therefore, we have some affine Kac-Moody loop algebra of meromorphic functions with values in Lie algebra=Lie(G). Use the construction of Fock space reprsentations to have representations of such affine loop algebra. And finally, we have the automorphic representations of the corresponding Langlands-dual Lie groupsG.
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47

Tamošaitis, Mantas. "Augustine’s critique of representation in arts: Confessions." Literatūra 61, no. 3 (December 20, 2019): 75–85. http://dx.doi.org/10.15388/litera.2019.3.6.

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This article is concerned with the critique of representation in art found in Augustine’s Confessions. The aim of the author is not only to reveal the fundamental influence of Plato and Aristotle on Augustine’s criticism, but to show the unique aspects of Augustine’s thought. The article considers Augustine’s critique of art in the Confessions to be three-fold: the ontological critique, the ethical (psychological) critique of intention and the critique of pagan ethos in art. The article considers the ontological critique as based on the neoplatonic dualism of body and soul as well as the platonic concept of image. Therefore Augustine considers artistic representation to be three-times removed from reality and sees the experience of God as the perfect aesthetical experience. Author states that the ethical critique considers art as a form of idolatry, which projects the innermost desires of the soul (the desire of God) onto the material pleasures of the outer world. Even though Augustine’s thinking is based on the Aristotelian concept of catharsis, the conclusions are entirely different – in Augustine’s opinion the aesthetical experience does not free the audience of its corporal appetites. Quite the contrary, the appetites get more intense. It should also be brought to the attention of the reader, that Augustine holds a certain hostility towards theatre and pagan literature as a pagan social practices. Augustine develops the thought of these Greek philosophers from the Christian point of view and bases his ethical critique of the aesthetic experience along with the critique of aesthetic practices on it. Moreover, he is more open to the concept of art as a fiction than Plato.
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48

Florencias-Oliveros, Olivia, Juan-José González-de-la-Rosa, Agustín Agüera-Pérez, and José-Carlos Palomares-Salas. "Reliability Monitoring Based on Higher-Order Statistics: A Scalable Proposal for the Smart Grid." Energies 12, no. 1 (December 25, 2018): 55. http://dx.doi.org/10.3390/en12010055.

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The increasing development of the smart grid demands reliable monitoring of the power quality at different levels, introducing more and more measurement points. In this framework, the advanced metering infrastructure must deal with this large amount of data, storage capabilities, improving visualization, and introducing customer-oriented interfaces. This work proposes a method that optimizes the smart grid data, monitoring the real voltage supplied based on higher order statistics. The method proposes monitoring the network from a scalable point of view and offers a two-fold perspective based on the duality utility-prosumer as a function of the measurement time. A global PQ index and 2D graphs are introduced in order to compress the time domain information and quantify the deviations of the waveform shape by means of three parameters. Time-scalability allows two extra features: long-term supply reliability and power quality in the short term. As a case study, the work illustrates a real-life monitoring in a building connection point, offering 2D diagrams, which show time and space compression capabilities, as well.
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49

Wen, Hua, Matthew J. McGinley, Gail Mandel, and Paul Brehm. "Nonequivalent release sites govern synaptic depression." Proceedings of the National Academy of Sciences 113, no. 3 (December 29, 2015): E378—E386. http://dx.doi.org/10.1073/pnas.1523671113.

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Synaptic depression is prominent among synapses, but the underlying mechanisms remain uncertain. Here, we use paired patch clamp recording to study neuromuscular transmission between the caudal primary motor neuron and target skeletal muscle in zebrafish. This synapse has an unusually low number of release sites, all with high probabilities of release in response to low-frequency stimulation. During high-frequency stimulation, the synapse undergoes short-term depression and reaches steady-state levels of transmission that sustain the swimming behavior. To determine the release parameters underlying this steady state, we applied variance analysis. Our analysis revealed two functionally distinct subclasses of release sites differing by over 60-fold in rates of vesicle reloading. A slow reloading class requires seconds to recover and contributes to depression onset but not the steady-state transmission. By contrast, a fast reloading class recovers within tens of milliseconds and is solely responsible for steady-state transmission. Thus, in contrast to most current models that assign levels of steady-state depression to vesicle availability, our findings instead assign this function to nonuniform release site kinetics. The duality of active-site properties accounts for the highly nonlinear dependence of steady-state depression levels on frequency.
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50

ARATYN, HENRIK, and RANDALL INGERMANSON. "ABELIZED VIRASORO OPERATORS, GEOMETRY AND THE STRING VERTEX OPERATOR." International Journal of Modern Physics A 04, no. 14 (August 20, 1989): 3503–75. http://dx.doi.org/10.1142/s0217751x89001400.

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In this article, we review recent work on constrained Hamiltonian systems with infinite-dimensional constraint algebras. The work is based on an extension of the constraint algebra to include subsidiary (gauge-fixing) constraints and a central element, forming a larger, closed algebra. This extension leads to several immediate results, at both a practical and a conceptual level: 1) A simple method is found for abelizing the original constraints. 2) This leads naturally to a “generalized vielbein” relating Abelian and non-Abelian quantities. 3) The vielbein apparatus makes transparent the full global symmetry of the extended phase space associated with the Batalin, Fradkin and Vilkovisky formalism. An interesting duality also arises between quantities with “Abelian” and “non-Abelian” indices. String theory provides the most important and straightforward application of these general methods. For this special case, one finds that the vielbeins are the Fourier components of the string vertex operator. The vertex operator describes the physical process of photon emission, and determines the physical modes of the string by way of the DDF operators. Due to the relation between the vertex operator and the vielbein, the dual abelized Virasoro operators simplify the usual discussion of the physical Fock space. The correspondence between these two fundamental objects, the vertex and the vielbein, thus provides a geometric understanding of the usual algebraic approach to string theory.
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