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1
Arnott, Richard. "Essai sur le risque moral." L'Actualité économique 63, no. 2-3 (2009): 74–97. http://dx.doi.org/10.7202/601411ar.
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Résumé Cet essai présente quelques-uns des résultats obtenus dans un projet de recherche à long terme sur le risque moral entrepris par l’auteur et Joseph Stiglitz. Le message central est que la présence du risque moral modifie radicalement les propriétés positives et normatives de l’équilibre concurrentiel. En particulier, le risque moral peut générer des courbes d’indifférence non convexes et un ensemble de possibilités non convexe. Principalement à cause de ces non-convexités, la définition de l’équilibre concurrentiel devient subtile. Selon la définition choisie, à un extrême, l’équilibre peut ne pas exister et, à l’autre extrême, il se peut qu’il y ait une infinité d’équilibres. De plus, l’équilibre concurrentiel peut être caractérisé par le rationnement des achats d’assurances, des profits positifs, de l’inactivité du marché même s’il y a des gains à l’échange, et/ou de l’assurance aléatoire. Finalement, sous le risque moral, ni le premier ni le second théorème de l’économie du bien-être ne sont valides et les prix du marché ne reflètent pas les coûts d’opportunité sociaux.
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Pronk, Matthijs, and Mark Veraar. "Forward integration, convergence and non-adapted pointwise multipliers." Infinite Dimensional Analysis, Quantum Probability and Related Topics 18, no. 01 (2015): 1550005. http://dx.doi.org/10.1142/s0219025715500058.
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In this paper we study the forward integral of operator-valued processes with respect to a cylindrical Brownian motion. In particular, we provide conditions under which the approximating sequence of processes of the forward integral, converges to the stochastic integral process with respect to Sobolev norms of smoothness α < 1/2. This result will be used to derive a new integration by parts formula for the forward integral.
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Pruschke, Thilo. "Notes on questions of W. Vogel concerning the converse to Bézout's theorem." Proceedings of the Edinburgh Mathematical Society 36, no. 3 (1993): 427–45. http://dx.doi.org/10.1017/s0013091500018526.
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Lazarsfeld proved a bound for the excess dimension of an intersection of irreducible and reduced schemes. Flenner and Vogel gave another approach for reduced, non-degenerate schemes which are connected in codimension one, using the intersection algorithm of Stückrad and Vogel and defining a new multiplicity k. Renschuch and Vogel considered a condition to ensure that there is no degeneration for more than two schemes. We define an integer which enables us to unify these methods. This allows us to generalize the result of Flenner and Vogel to non-reduced schemes by comparing the multiplicities j and k. Using this point of view we give applications to converses of Bézout's theorem; in particular we investigate the Cohen-Macaulay case.
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González-Cuerva, Rubén. "The Cloistered Ambassador: non-European Agents in the Convents of Madrid (1585-1701)." Culture & History Digital Journal 11, no. 1 (2022): e007. http://dx.doi.org/10.3989/chdj.2022.007.
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In line with its medieval predecessors, the Habsburg court had no particular problem in receiving representatives from outside the Christendom’s framework. Until 1580 these usually included Maghrebi envoys with an ambiguous status and without a notable diplomatic presence. Subsequently, the aggregation of the crown of Portugal to the Spanish Monarchy and the ceremonial standardization that gradually took place led, on the one hand, to the arrival of African and Asian agents of a different profile, with whom there was less familiarity, and on the other, to an attempt to assign them to the existing diplomatic categories. Among the numerous problems of Madrid as a reception centre for “exotic embassies,” we will look at the use of the city’s monasteries as accommodation for some of these agents and their entourage. Instead of being offered houses, these individuals were left in a provisional situation in accordance with their dubious diplomatic status, a policy that triggered problems of public order and decorum because of their difficult coexistence with the monastic communities. These and other monasteries played a further role as places of sociability and exchange for people who were not accustomed to such institutions. This will provide a glimpse into the complementarity between palaces and monasteries in a strongly confessionalised court and, paradoxically, into a kind of ceremonial flexibility that bordered on tolerance.
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Deugoué, Gabriel, та Mamadou Sango. "Strong solutions for the stochastic 3D LANS-α model driven by non-Gaussian Lévy noise". Stochastics and Dynamics 15, № 02 (2015): 1550011. http://dx.doi.org/10.1142/s0219493715500112.
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We establish the existence, uniqueness and approximation of the strong solutions for the stochastic 3D LANS-α model driven by a non-Gaussian Lévy noise. Moreover, we also study the stability of solutions. In particular, we prove that under some conditions on the forcing terms, the strong solution converges exponentially in the mean square and almost surely exponentially to the stationary solution.
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Feckan, Michal, and Kateryna Marynets. "Non-local fractional boundary value problems with applications to predator-prey models." Electronic Journal of Differential Equations 2023, no. 01-?? (2023): 58. http://dx.doi.org/10.58997/ejde.2023.58.
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We study a nonlinear fractional boundary value problem (BVP) subject to non-local multipoint boundary conditions. By introducing an appropriate parametrization technique we reduce the original problem to an equivalent one with already two-point restrictions. Using a notion of Chebyshev nodes and Lagrange polynomials we construct a successive iteration scheme, that converges to the exact solution of the non-local problem for particular values of the unknown parameters, which are calculated numerically.
 For mote information see https://ejde.math.txstate.edu/Volumes/2023/58/abstr.html
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BACCHELLI, BARBARA, MIRA BOZZINI, and MILVIA ROSSINI. "ON THE ERRORS OF MULTIDIMENSIONAL MRA BASED ON NON-SEPARABLE SCALING FUNCTIONS." International Journal of Wavelets, Multiresolution and Information Processing 04, no. 03 (2006): 475–88. http://dx.doi.org/10.1142/s0219691306001397.
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In this paper, we deal with two different problems. First, we provide the convergence rates of multiresolution approximations, with respect to the supremum norm, for the class of elliptic splines defined in Ref. 10, and in particular for polyharmonic splines. Secondly, we consider the problem of recovering a function from a sample of noisy data. To this end, we define a linear and smooth estimator obtained from a multiresolution process based on polyharmonic splines. We discuss its asymptotic properties and we prove that it converges to the unknown function almost surely.
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Thakur, Gauri, and J. K. Saini. "Comparative Study of Iterative Methods for Solving Non-Linear Equations." Journal of University of Shanghai for Science and Technology 23, no. 07 (2021): 858–66. http://dx.doi.org/10.51201/jusst/21/07229.
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In numerical analysis, methods for finding roots play a pivotal role in the field of many real and practical applications. The efficiency of numerical methods depends upon the convergence rate (how fast the particular method converges). The objective of this study is to compare the Bisection method, Newton-Raphson method, and False Position Method with their limitations and also analyze them to know which of them is more preferred. Limitations of these methods have allowed presenting the latest research in the area of iterative processes for solving non-linear equations. This paper analyzes the field of iterative methods which are developed in recent years with their future scope.
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Lederman, Jakob, Caroline Löfvenmark, Therese Djärv, Veronica Lindström, and Carina Elmqvist. "Assessing non-conveyed patients in the ambulance service: a phenomenological interview study with Swedish ambulance clinicians." BMJ Open 9, no. 9 (2019): e030203. http://dx.doi.org/10.1136/bmjopen-2019-030203.
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ObjectivesTo combat overcrowding in emergency departments, ambulance clinicians (ACs) are being encouraged to make on-site assessments regarding patients’ need for conveyance to hospital, and this is creating new and challenging demands for ACs. This study aimed to describe ACs’ experiences of assessing non-conveyed patients.DesignA phenomenological interview study based on a reflective lifeworld research approach.SettingThe target area for the study was Stockholm, Sweden, which has a population of approximately 2.3 million inhabitants. In this area, 73 ambulances perform approximately just over 200 000 ambulance assignments annually, and approximately 25 000 patients are non-conveyed each year.Informants11 ACs.MethodsIn-depth open-ended interviews.ResultsACs experience uncertainty regarding the accuracy of their assessments of non-conveyed patients. In particular, they fear conducting erroneous assessments that could harm patients. Avoiding hasty decisions is important for conducting safe patient assessments. Several challenging paradoxes were identified that complicate the non-conveyance situation, namely; responsibility, education and feedback paradoxes. The core of the responsibility paradox is that the increased responsibility associated with non-conveyance assessments is not accompanied with appropriate organisational support. Thus, frustration is experienced. The education paradox involves limited and inadequate non-conveyance education. This, in combination with limited support from non-conveyance guidelines, causes the clinical reality to be perceived as challenging and problematic. Finally, the feedback paradox relates to the obstruction of professional development as a result of an absence of learning possibilities after assessments. Additionally, ACs also described loneliness during non-conveyance situations.ConclusionsThis study suggests that, for ACs, performing non-conveyance assessments means experiencing a paradoxical professional existence. Despite these aggravating paradoxes, however, complex non-conveyance assessments continue to be performed and accompanied with limited organisational support. To create more favourable circumstances and, hopefully, safer assessments, further studies that focus on these paradoxes and non-conveyance are needed.
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Diu Tran, Thi Thanh. "Asymptotic behavior for quadratic variations of non-Gaussian multiparameter Hermite random fields." Probability and Mathematical Statistics 39, no. 2 (2019): 385–401. http://dx.doi.org/10.19195/0208-4147.39.2.8.
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Let Zt q,H t∈[0,1]d denote a d-parameter Hermite random field of order q ≥ 1 and self-similarity parameter H = H₁, . . . ,Hd ∈ ½, 1d. This process is H-self-similar, has stationary increments and exhibits long-range dependence. Particular examples include fractional Brownian motion q = 1, d = 1, fractional Brownian sheet q = 1, d ≥ 2, the Rosenblatt process q = 2, d = 1 as well as the Rosenblatt sheet q = 2, d ≥ 2. For any q ≥ 2, d ≥ 1 and H ∈ ½, 1d we show in this paper that a proper renormalization of the quadratic variation of Zq,H converges in L2Ω to a standard d-parameter Rosenblatt random variable with self-similarity index H' = 1 + 2H − 2/q.
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Cäsar, Cristiane, Klaus Zuberbühler, Robert J. Young, and Richard W. Byrne. "Titi monkey call sequences vary with predator location and type." Biology Letters 9, no. 5 (2013): 20130535. http://dx.doi.org/10.1098/rsbl.2013.0535.
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Animal alarm calls can encode information about a predator's category, size, distance or threat level. In non-human primates, alarm calls typically refer to broad classes of disturbances, in some instances to specific predators. Here, we present the results of a field experiment with a New World primate, the black-fronted titi monkey ( Callicebus nigrifrons ), designed to explore the information conveyed by their alarm call system. Adults produced sequences consisting of two main alarm call types that conveyed, in different parts of the utterance, information about a predator's type and location. In particular, sequence compositions differed depending on whether the predator was a mammalian carnivore or a raptor, and whether it was detected in a tree or on the ground. This is the first demonstration of a sequence-based alarm call system in a non-human animal that has the capacity to encode both location and type of predatory threat.
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Jalaluddin, Nor Hashimah. "Objek dalam Metafora dan Akal Budi Melayu." Melayu: Jurnal Antarabangsa Dunia Melayu 13, no. 2 (2020): 199–222. http://dx.doi.org/10.37052/jm.13(2)no2.
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Idioms, proverbs, similes and pantun all fall under the category of “metaphor” in Malay. Interestingly, the metaphors are not superficial; instead, they are permeated with philosophy, which in turn convey Malay thought. Clearly, these metaphors are composed using specific objects that have a close connection with meaning. Therefore, it is worthwhile to examine this connection and the meaning that is meant to be conveyed. This study focuses on data concerning idioms about mata[eyes] and kuku [fingernails]. References to ulam-ulaman (herbal plants eaten raw) were chosen for analysis of pantun. All of the data was taken from www.malaycivilization. com. The data analysis was performed using inquisitive semantics in an effort to uncover cognitive philosophical and cultural roles to explain why a particular object is selected for a particular metaphor. The actual meaning is revealed through three steps: literal, cognitive and inquisitive. The findings of this study show that the objects mata and kuku, as well as herbal plants, are aptly used to suggest the meaning that they are to convey. Mata signals feelings, kuku concerns closeness and herbal plants are associated with love, as proven by the data selected. The discussionthen extends to other fields, medicine and nutrition, in reference to proverbs and pantun. Clearly, this kind of multidisciplinary study is able to discuss Malay metaphors scientifically and convincingly.
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Nadeau, Richard, and Jean H. Guay. "Un réexamen de la loi de Converse sur le lien entre le degré d'information politique et la mobilité de court terme de l'opinion." Canadian Journal of Political Science 23, no. 4 (1990): 727–50. http://dx.doi.org/10.1017/s0008423900020825.
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AbstractThis study proposes an empirical test of a classical hypothesis formulated by Philip Converse about the link between political information and opinion change. The study departs from previous ones on three aspects: (1) it is conducted outside the electoral field; (2) political information—the key variable of the analysis—is directly measured and is issue specific, and (3) the test of Converse hypothesis is carried through the utilization of a quasi-experimental design. The results—based on a sample of students expressing opinions about the Canada-USA free trade agreement—exhibit the expected non-linear relation between the individual's level of political information and his propensity to change opinion. This conclusion suggests that particular groups could be more sensitive to political information flows.
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Kashif, Mohd. "A Vieta–Lucas collocation and non-standard finite difference technique for solving space-time fractional-order Fisher equation." Mathematical Modelling and Analysis 30, no. 1 (2025): 1–16. https://doi.org/10.3846/mma.2025.19839.
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The purpose of the article is to analyze an accurate numerical technique to solve a space-time fractional-order Fisher equation in the Caputo sense. For this purpose, the spectral collocation technique is used, which is based on the Vieta–Lucas approximation. By using the properties of Vieta–Lucas polynomials, this technique reduces the nonlinear equations into a system of ordinary differential equations (ODEs). The non-standard finite difference (NSFD) method converts this system of ODEs into algebraic equations which have been solved numerically. Moreover, the error estimate is investigated for the proposed method. To show the accuracy and efficiency of the technique, the obtained numerical results are compared with the analytical results and existing results of the particular forms of the considered fractional order models through error analysis. The important feature of this article is the exhibition of variations of the field variable for various values of spatial and temporal fractional order parameters for different particular cases.
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Forey, A. J. "Western Converts to Islam (Later Eleventh to Later Fifteenth Centuries)." Traditio 68 (2013): 153–231. http://dx.doi.org/10.1017/s0362152900001653.
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The early expansion of Islam led in time to widespread conversions of Christians in conquered territories. In the later eleventh century, however, western Christendom was in turn launching offensives against Islam on several fronts. Territorial gains were made in various Mediterranean regions and, although by the end of the thirteenth century the Holy Land had been lost again, Sicily remained in Christian hands, and in the second half of the thirteenth century in the Iberian peninsula only Granada remained under Muslim control: the whole peninsula was under Christian rule before the end of the fifteenth century. This expansion was accompanied, especially in the thirteenth century, by attempts to convert Muslims and other non-Christians. Yet in the period from the late eleventh until the later fifteenth century some western Christians converted to Islam. The purpose of the present paper is to consider the situations that prompted the adoption of Islam, and the reasons for such conversions, although the evidence is usually insufficient to indicate exactly why a particular Christian became a Muslim: the preconceived ideas voiced in western sources about forced conversions can be misleading and, although a crude distinction might be made between conversions from conviction and those based on worldly considerations, motives did not necessarily always fit neatly into just one of these two categories. But obviously not all converts would have had an equal understanding of the nature of Islamic beliefs and practices. The response of western ecclesiastical and secular authorities to renegades will also be considered. Further conversions of Christian peoples who had already for centuries been living under Muslim rule will not be examined, but only the adoption of Islam by those whose origins lay in western Christian countries or who were normally resident in these, and by westerners whose lands were newly conquered by Muslim powers after the eleventh century; and the focus will be mainly, though not exclusively, on the crusader states and the Iberian peninsula.
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Murata, Minoru, and Tetsuo Tsuchida. "Monotonicity of non-Liouville property for positive solutions of skew product elliptic equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150, no. 3 (2019): 1429–49. http://dx.doi.org/10.1017/prm.2018.138.
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AbstractWe consider a second-order elliptic operator L in skew product of an ordinary differential operator L1 on an interval (a, b) and an elliptic operator on a domain D2 of a Riemannian manifold such that the associated heat kernel is intrinsically ultracontractive. We give criteria for criticality and subcriticality of L in terms of a positive solution having minimal growth at η (η = a, b) to an associated ordinary differential equation. In the subcritical case, we explicitly determine the Martin compactification and Martin kernel for L on the basis of [24]; in particular, the Martin boundary over η is either one point or a compactification of D2, which depends on whether an associated integral near η diverges or converges. From this structure theorem we show a monotonicity property that the Martin boundary over η does not become smaller as the potential term of L1 becomes larger near η.
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Helin, Tapio, and Remo Kretschmann. "Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems." Numerische Mathematik 150, no. 2 (2022): 521–49. http://dx.doi.org/10.1007/s00211-021-01266-9.
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AbstractIn this paper we study properties of the Laplace approximation of the posterior distribution arising in nonlinear Bayesian inverse problems. Our work is motivated by Schillings et al. (Numer Math 145:915–971, 2020. 10.1007/s00211-020-01131-1), where it is shown that in such a setting the Laplace approximation error in Hellinger distance converges to zero in the order of the noise level. Here, we prove novel error estimates for a given noise level that also quantify the effect due to the nonlinearity of the forward mapping and the dimension of the problem. In particular, we are interested in settings in which a linear forward mapping is perturbed by a small nonlinear mapping. Our results indicate that in this case, the Laplace approximation error is of the size of the perturbation. The paper provides insight into Bayesian inference in nonlinear inverse problems, where linearization of the forward mapping has suitable approximation properties.
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Sharif, M., and M. Zaeem Ul Haq Bhatti. "Effects of some physical factors on the inhomogeneity in planar symmetry." Modern Physics Letters A 29, no. 18 (2014): 1450094. http://dx.doi.org/10.1142/s0217732314500941.
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This paper is devoted to identify some physical causes of energy density inhomogeneity and stability of self-gravitating relativistic fluids in plane symmetry such as Weyl tensor, local anisotropy, dissipative terms and their specific combination. We first develop a relationship between matter variables and the Weyl tensor and then formulate dynamical equations using Bianchi identities. For the non-dissipative dust fluid, we conclude that the system will remain homogeneous if and only if it is conformally flat which implies the shear-free condition. However, the converse is not true for the non-dissipative isotropic fluid. For non-dissipative anisotropic fluid, the inhomogeneity factor is identified to be one of the structure scalars. A particular case of geodesic with dissipation is also discussed.
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Libel-Hass, Einat, and Elazar Ben-Lulu. "Are You Our Sisters? Resistance, Belonging, and Recognition in Israeli Reform Jewish Female Converts." Politics and Religion Journal 18, no. 1 (2024): 131–57. http://dx.doi.org/10.54561/prj1801131l.
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The religious conversion process is a significant expression of an individual’s intention to gain a new religious identity and be included in a particular religious community. Those who wish to join the Jewish people undergo giyur (conversion), which includes observing rituals and religious practices. While previous research on Jewish conversions in Israel focused on the experiences of persons who converted under Orthodox auspices, this study analyzes the experiences of female immigrants from the former Soviet Union (FSU) and the Philippines who chose to convert through the Reform Movement in Israel. Based on qualitative research, we discovered that the non-Orthodox process, which is based on liberal values, not only grants converts under the aegis of Reform entry to the Jewish people, but promotes their affiliation with the Reform Movement and advances their acculturation into Jewish Israeli society. Their choice is a political decision, an act of resistance against an Orthodox Israeli religious monopoly, and an expression of spiritual motivations. The converts become social agents who strengthen the Reform Movement’s socio-political position in Israel, where it struggles against discrimination. Furthermore, since most converts are women, new intersections between religion, gender, and nationality are exposed.
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Ali Al-Radhawi, M., Michael Margaliot, and Eduardo D. Sontag. "Maximizing average throughput in oscillatory biochemical synthesis systems: an optimal control approach." Royal Society Open Science 8, no. 9 (2021): 210878. http://dx.doi.org/10.1098/rsos.210878.
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A dynamical system entrains to a periodic input if its state converges globally to an attractor with the same period. In particular, for a constant input, the state converges to a unique equilibrium point for any initial condition. We consider the problem of maximizing a weighted average of the system’s output along the periodic attractor. The gain of entrainment is the benefit achieved by using a non-constant periodic input relative to a constant input with the same time average. Such a problem amounts to optimal allocation of resources in a periodic manner. We formulate this problem as a periodic optimal control problem, which can be analysed by means of the Pontryagin maximum principle or solved numerically via powerful software packages. We then apply our framework to a class of nonlinear occupancy models that appear frequently in biological synthesis systems and other applications. We show that, perhaps surprisingly, constant inputs are optimal for various architectures. This suggests that the presence of non-constant periodic signals, which frequently appear in biological occupancy systems, is a signature of an underlying time-varying objective functional being optimized.
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Hoban, Matty J., Tom Drescher, and Ana Belén Sainz. "A hierarchy of semidefinite programs for generalised Einstein-Podolsky-Rosen scenarios." Quantum 9 (January 14, 2025): 1591. https://doi.org/10.22331/q-2025-01-14-1591.
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Correlations in Einstein-Podolsky-Rosen (EPR) scenarios, captured by assemblages of unnormalised quantum states, have recently caught the attention of the community, both from a foundational and an information-theoretic perspective. The set of quantum-realisable assemblages, or abbreviated to quantum assemblages, are those that arise from multiple parties performing local measurements on a shared quantum system. In general, deciding whether or not a given assemblage is a quantum assemblage, i.e. membership of the set of quantum assemblages, is a hard problem, and not always solvable. In this paper we introduce a hierarchy of tests where each level either determines non-membership of the set of quantum assemblages or is inconclusive. The higher the level of the hierarchy the better one can determine non-membership, and this hierarchy converges to a particular set of assemblages. Furthermore, this set to which it converges contains the quantum assemblages. Each test in the hierarchy is formulated as a semidefinite program. This hierarchy allows one to upper bound the quantum violation of a steering inequality and the quantum advantage provided by quantum EPR assemblages in a communication or information-processing task.
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BRUNER, JASON. "Conversion and the Problem of Discontinuity in the East African Revival." Journal of Ecclesiastical History 70, no. 2 (2018): 304–21. http://dx.doi.org/10.1017/s002204691800129x.
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This essay focuses upon particular elements of testimonies within the East African Revival in late colonial Uganda, giving analytical priority to the voice-hearing experiences of converts that often precipitated their conversion. While conversion within this movement aligns broadly with recent interest in discontinuity in Christian conversion, this essay highlights the roles of non-Christian spirits in fomenting radical religious change, including conversion to the East African Revival movement. It argues that the very experiences which occasioned these revivalists’ radical breaks with their past ways of life also established metaphysical continuity with them.
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Vieu, T., S. Gabici, and V. Tatischeff. "Non-linear particle reacceleration by multiple shocks." Monthly Notices of the Royal Astronomical Society 510, no. 2 (2021): 2529–37. http://dx.doi.org/10.1093/mnras/stab3564.
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ABSTRACT When the pressure of particles accelerated at shock waves is no longer negligible compared to the kinetic pressure of the gas, the linear theory of diffusive shock acceleration breaks down. This is expected in particular when the shock sweeps up pre-existing cosmic rays, or when multiple shocks reaccelerate successively the same particles. To describe these systems, one has to account for the non-linear backreaction of the particles on the magnetohydrodynamic flow. Using an up-to-date semi-analytical model of particle reacceleration at non-linear shocks, we show that the presence of pre-existing energetic particles strongly affects the shock profile, in such a way that the reacceleration of non-thermal particles or the acceleration of particles from the thermal bath becomes less efficient. We further describe the evolution of the distribution of particles after several shocks and study the properties of the asymptotic solution. We detail the case of identical shocks as well as more realistic scenarios, including the heating of the medium or superbubble environments. When the particles are efficiently confined in the acceleration region, it is generally found that the spectrum converges toward a concave solution after a few tens of shocks, with a spectral index around 3.5 at the highest energy. The post-shock cosmic ray pressure reaches an asymptotic value of about 4–5 per cent of the ram pressure of one shock. Most of the shock pressure is transferred to escaping particles.
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MORI, IZURU, and KENTA UEYAMA. "GRADED MORITA EQUIVALENCES FOR GEOMETRIC AS-REGULAR ALGEBRAS." Glasgow Mathematical Journal 55, no. 2 (2012): 241–57. http://dx.doi.org/10.1017/s001708951200047x.
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AbstractClassification of AS-regular algebras is one of the major projects in non-commutative algebraic geometry. In this paper, we will study when given AS-regular algebras are graded Morita equivalent. In particular, for every geometric AS-regular algebra A, we define another graded algebra A, and show that if two geometric AS-regular algebras A and A' are graded Morita equivalent, then A and A' are isomorphic as graded algebras. We also show that the converse holds in many three-dimensional cases. As applications, we apply our results to Frobenius Koszul algebras and Beilinson algebras.
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França, Guilherme, and André LeClair. "Some Riemann Hypotheses from random walks over primes." Communications in Contemporary Mathematics 20, no. 07 (2018): 1750085. http://dx.doi.org/10.1142/s0219199717500857.
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The aim of this paper is to investigate how various Riemann Hypotheses would follow only from properties of the prime numbers. To this end, we consider two classes of [Formula: see text]-functions, namely, non-principal Dirichlet and those based on cusp forms. The simplest example of the latter is based on the Ramanujan tau arithmetic function. For both classes, we prove that if a particular trigonometric series involving sums of multiplicative characters over primes is [Formula: see text], then the Euler product converges in the right half of the critical strip. When this result is combined with the functional equation, the non-trivial zeros are constrained to lie on the critical line. We argue that this [Formula: see text] growth is a consequence of the series behaving like a one-dimensional random walk. Based on these results, we obtain an equation which relates every individual non-trivial zero of the [Formula: see text]-function to a sum involving all the primes. Finally, we briefly mention important differences for principal Dirichlet [Formula: see text]-functions due to the existence of the pole at [Formula: see text], in which the Riemann [Formula: see text]-function is a particular case.
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Zhang, Jack, Guan Xiong Qiao, Alexandru Lopotenco, and Ian Tong Pan. "Understanding Stochastic Optimization Behavior at the Layer Update Level (Student Abstract)." Proceedings of the AAAI Conference on Artificial Intelligence 36, no. 11 (2022): 13109–10. http://dx.doi.org/10.1609/aaai.v36i11.21691.
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Popular first-order stochastic optimization methods for deep neural networks (DNNs) are usually either accelerated schemes (e.g. stochastic gradient descent (SGD) with momentum) or adaptive step-size methods (e.g. Adam/AdaMax, AdaBelief). In many contexts, including image classification with DNNs, adaptive methods tend to generalize poorly compared to SGD, i.e. get stuck in non-robust local minima; however, SGD typically converges slower. We analyze possible reasons for this behavior by modeling gradient updates as vectors of random variables and comparing them to probabilistic bounds to identify "meaningful" updates. Through experiments, we observe that only layers close to the output have "definitely non-random" update behavior. In the future, the tools developed here may be useful in rigorously quantifying and analyzing intuitions about why some optimizers and particular DNN architectures perform better than others.
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Krysa, Isabella M., Albert Mills, and Salvador Barragan. "Canadian immigrant guidelines on how to become productive members of society." Equality, Diversity and Inclusion: An International Journal 36, no. 6 (2017): 482–500. http://dx.doi.org/10.1108/edi-01-2017-0002.
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Purpose The purpose of this paper is to critically look at how immigrants to Canada are informed and educated about how to become productive members of society. The authors adopted a postcolonial framework to unveil the underlying assumptions embedded in the messages that are conveyed to “teach” and “prepare” immigrants for the Canadian workplace. In particular, the authors focus on non-white immigrants because they form the majority of immigrants to Canada and at the same time data show that they experience particular socio-economic obstacles in their settlement process that European immigrants did not. Design/methodology/approach The authors apply postcolonialism as the theoretical framework. This approach allows the authors to analyze the relationship between the local subject and the encounter with the non-local other, in this case the immigrant who is from a non-European background. The authors conduct a Foucauldian critical discourse analysis on selected texts that serve as information sources for immigrants. These texts include government documents, immigrant information brochures, and workplace information books and booklets. Findings The analysis shows ideological positions that reveal discursive messages representing the non-white immigrant in binary terms. Such immigrants are represented in opposing (and inferior) terms to the local (largely white) Canadian citizen. By adopting a postcolonial lens, the analysis shows that the messages to acculturate immigrants reveal assimilationist features. Research limitations/implications The authors acknowledge that the authors’ own personal socio-political, intellectual, and ideological locations influence the approach, logic, research process, and the interpretation of the findings. For future research, other textual sources should be analyzed with regard to the messages they convey to immigrants as a form of education to see what kind of acculturation is conveyed. Practical implications This paper sheds light on the necessity to develop policies that not only aim to acculturate immigrants using integration strategies but also to carefully communicate and educate newcomers through messages that that do not stem from colonial assumptions. Originality/value This research points out the taken-for granted and oftentimes invisible forms of discriminatory practices in the workplace that appear non-discriminatory on the surface but are rooted in colonial thinking. Consequently, the authors challenge “mainstream” management theories concerning diversity in the workplace by questioning the underlying messages portrayed to immigrants.
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Maday, Yvon, and Carlo Marcati. "Regularity and hp discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials." Mathematical Models and Methods in Applied Sciences 29, no. 08 (2019): 1585–617. http://dx.doi.org/10.1142/s0218202519500295.
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We study the regularity in weighted Sobolev spaces of Schrödinger-type eigenvalue problems, and we analyze their approximation via a discontinuous Galerkin (dG) [Formula: see text] finite element method. In particular, we show that, for a class of singular potentials, the eigenfunctions of the operator belong to analytic-type non-homogeneous weighted Sobolev spaces. Using this result, we prove that an isotropically graded [Formula: see text] dG method is spectrally accurate, and that the numerical approximation converges with exponential rate to the exact solution. Numerical tests in two and three dimensions confirm the theoretical results and provide an insight into the behavior of the method for varying discretization parameters.
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Robinson, J. A., and R. M. Nichol. "Building Bridges Between Aboriginal and Western Mathematics." Australian and International Journal of Rural Education 8, no. 2 (1998): 9–17. http://dx.doi.org/10.47381/aijre.v8i2.430.
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After the occupation of their land by Europeans, the Australian Aboriginal and Torres Strait Islander people were expected to benefit from an education system based on that of the dominant Europeans. Gradually educators realized that Aboriginal culture has validity and strength and that all children learn differently. In this paper the characterization of the Aboriginal learner is examined and pedagogical strategies to assist in both students' learning and teachers' delivery are explored. The message that is conveyed in this paper has particular relevance to teaching mathematics to Aboriginal learners as well as to the general curriculum. It is also of considerable value in teaching non-Aboriginal students.
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Dolbeault, Jean, Ivan Gentil, and Ansgar Jüngel. "A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities." Communications in Mathematical Sciences 4, no. 2 (2006): 275–90. https://doi.org/10.4310/cms.2006.v4.n2.a1.
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A logarithmic fourth-order parabolic equation in one space dimension with periodic boundary conditions is studied. This equation arises in the context of fluctuations of a stationary nonequilibrium interface and in the modeling of quantum semiconductor devices. The existence of global-in-time non-negative weak solutions and some regularity results are shown. Furthermore, we prove that the solution converges exponentially fast to its mean value in the ``entropy norm'' and in the Fisher information, using a new optimal logarithmic Sobolev inequality for higher derivatives. In particular, the rate is independent of the solution and the constant depends only on the initial value of the entropy.
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FELDMAN, LOUIS H. "Josephus' Portrait of Asa." Bulletin for Biblical Research 4, no. 1 (1994): 41–59. http://dx.doi.org/10.2307/26422102.
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Abstract Whereas the rabbinic tradition attacks King Asa of Judah for trusting in himself rather than in G-d and, in particular, for drafting the sages, Josephus, the apologist, omits such details and, indeed, whitewashes Asa completely. He is praised particularly, in language reminiscent of Josephus' portraits of Saul and David, as well as of Thucydides' Pericles, for putting his nation in order. In particular, Josephus emphasizes Asa's obedience to the ancestral laws. And yet, because he realized that his audience, consisting apparently primarily of non-Jews, would resent as intolerant the forcible destruction of idols, tree worship, and mystery cults, he omits such details. Because proselytism was such a burning issue at the time, in view of the Jews' apparently extraordinary success during this period in attracting converts, Josephus omits the passage that implies that Asa attracted proselytes to his army.
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FELDMAN, LOUIS H. "Josephus' Portrait of Asa." Bulletin for Biblical Research 4, no. 1 (1994): 41–59. http://dx.doi.org/10.5325/bullbiblrese.4.1.0041.
Full textAbstract:
Abstract Whereas the rabbinic tradition attacks King Asa of Judah for trusting in himself rather than in G-d and, in particular, for drafting the sages, Josephus, the apologist, omits such details and, indeed, whitewashes Asa completely. He is praised particularly, in language reminiscent of Josephus' portraits of Saul and David, as well as of Thucydides' Pericles, for putting his nation in order. In particular, Josephus emphasizes Asa's obedience to the ancestral laws. And yet, because he realized that his audience, consisting apparently primarily of non-Jews, would resent as intolerant the forcible destruction of idols, tree worship, and mystery cults, he omits such details. Because proselytism was such a burning issue at the time, in view of the Jews' apparently extraordinary success during this period in attracting converts, Josephus omits the passage that implies that Asa attracted proselytes to his army.
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Jaywant, Abhishek, Victor Wasserman, Maaria Kemppainen, Sandy Neargarder, and Alice Cronin-Golomb. "Perception of Communicative and Non-communicative Motion-Defined Gestures in Parkinson’s Disease." Journal of the International Neuropsychological Society 22, no. 5 (2016): 540–50. http://dx.doi.org/10.1017/s1355617716000114.
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AbstractObjectives: Parkinson’s disease (PD) is associated with deficits in social cognition and visual perception, but little is known about how the disease affects perception of socially complex biological motion, specifically motion-defined communicative and non-communicative gestures. We predicted that individuals with PD would perform more poorly than normal control (NC) participants in discriminating between communicative and non-communicative gestures, and in describing communicative gestures. We related the results to the participants’ gender, as there are gender differences in social cognition in PD. Methods: The study included 23 individuals with PD (10 men) and 24 NC participants (10 men) matched for age and education level. Participants viewed point-light human figures that conveyed communicative and non-communicative gestures and were asked to describe each gesture while discriminating between the two gesture types. Results: PD as a group were less accurate than NC in describing non-communicative but not communicative gestures. Men with PD were impaired in describing and discriminating between communicative as well as non-communicative gestures. Conclusions: The present study demonstrated PD-related impairments in perceiving and inferring the meaning of biological motion gestures. Men with PD may have particular difficulty in understanding the communicative gestures of others in interpersonal exchanges. (JINS, 2016, 22, 1–11)
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FEMIA, N., G. SPAGNUOLO, and V. TUCCI. "INTERVAL ANALYSIS IN POWER ELECTRONICS." Journal of Circuits, Systems and Computers 05, no. 03 (1995): 317–36. http://dx.doi.org/10.1142/s0218126695000205.
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The use of Interval Analysis for numerical simulation of power electronic circuits is discussed in this paper. It is shown that Interval Analysis is an optimal tool for such kind of applications since switching circuits operate upon sequences of time intervals bounded by instants that are zeros of non-linear non-monotonic functions. The main advantages offered by Interval Analysis are pointed out in the context of a new approach proposed to solve the problems of steady-state and transient analysis. In particular, it is shown that for steady-state analysis a robust and fast IA-based method can be adopted which generates a sequence of virtual solutions that converges towards the right steady-state solution within few iterations, without any prior knowledge about the mode of operation of the circuit. Some examples of applications are proposed, including chaos, subharmonics and circuit collapse.
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Michiko, Kaneyasu. "Stance taking in Japanese newspaper discourse: The use and non-use of copulas da and dearu." Text & Talk 35, no. 2 (2015): 207–36. https://doi.org/10.1515/text-2014-0035.
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Text & Talk Volume 35: Issue 2 Stance taking in Japanese Newspaper discourse: the use and non-use of Copulas <em>da</em> and <em>dearu</em> Michiko Kaneyasu DOI: https://doi.org/10.1515/text-2014-0035 Published online: 27 Feb 2015 Abstract The present study aims to demonstrate how writers display their stances in information-oriented written discourse. In particular, the paper analyzes nominal sentences in three newspaper subgenres, and explicates how the Japanese copulas <em>da</em> and <em>dearu</em>, which are normally considered stylistic variants in written language, are used by journalists as important grammatical resources for expressing their epistemic and evaluative stances toward certain types of information conveyed in nominal sentences. <em>Da</em> in newspaper discourse is used as a marker of the writer’s commitment to the relevance of the information in the given discourse context. <em>Dearu</em>, on the other hand, marks the writer’s own interpretive and evaluative stance. In addition, the non-use of a copula (i.e., a bare nominal) also conveys a certain stance of the writer, namely that the information presented is taken to be factual. The specific kind of stance expressed through the use and non-use of these copula types is closely linked to the functional objectives and concerns of the particular genres.
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Duarte, German A. "“La chose maudite”. The concept of reification in George Bataille’s The Accursed Share." Human and Social Studies 4, no. 1 (2015): 91–110. http://dx.doi.org/10.1515/hssr-2015-0006.
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Abstract This paper deals with the concept of reification, which is analyzed taking into account two main lines of thought. The former is the Marxist theory of reification, which is similar to and converges with the concept of alienation. The latter focuses on the phenomenon of convention that allows us to deal with extra-linguistic objects, non-computable objects, aiming at producing a shared reality; in other words, to produce simulacra through mass media. This paper analyses in particular the transformation of the understanding of the concept of reification as enabled by Bataille’s work, The Accursed Share. In this work, George Bataille highlights the existence of the phenomenon of reification outside the relationships built by the capital.
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Hebert, David, and Richard E. Wagner. "Taxation as a Quasi–Market Process: Explanation, Exhortation, and the Choice of Analytical Windows." Journal of Public Finance and Public Choice 31, no. 1 (2013): 163–77. http://dx.doi.org/10.1332/251569213x15664519748659.
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Abstract This paper identifies two broad strands of fiscal theorizing that date back to the late 19th century in the persons of Knut Wicksell (1896) and Francis Edgeworth (1897). From Edgeworth descends the treatment of public finance as a branch of applied statecraft, as conveyed these days largely through notions of optimal taxation. From Wicksell descends the treatment of public finance as offering explanations for observed patterns of collective activity. These two branches are not so much antagonistic as they are non-commensurable. The explanatory branch, moreover, is underdeveloped in comparison with the hortatory branch, and this paper seeks to sketch some contours for an explanatory theory of collective activity, paying particular attention to the American fiscal context.
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DONG, YIWEI, PIOTR OPROCHA, and XUETING TIAN. "On the irregular points for systems with the shadowing property." Ergodic Theory and Dynamical Systems 38, no. 6 (2017): 2108–31. http://dx.doi.org/10.1017/etds.2016.126.
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We prove that when $f$ is a continuous self-map acting on a compact metric space $(X,d)$ that satisfies the shadowing property, then the set of irregular points (i.e., points with divergent Birkhoff averages) has full entropy. Using this fact, we prove that, in the class of $C^{0}$-generic maps on manifolds, we can only observe (in the sense of Lebesgue measure) points with convergent Birkhoff averages. In particular, the time average of atomic measures along orbits of such points converges to some Sinai–Ruelle–Bowen-like measure in the weak$^{\ast }$ topology. Moreover, such points carry zero entropy. In contrast, irregular points are non-observable but carry infinite entropy.
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BADZIAHIN, DZMITRY, and JASON LEVESLEY. "A NOTE ON SIMULTANEOUS AND MULTIPLICATIVE DIOPHANTINE APPROXIMATION ON PLANAR CURVES." Glasgow Mathematical Journal 49, no. 2 (2007): 367–75. http://dx.doi.org/10.1017/s0017089507003722.
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AbstractLet $\mathbb C$ be a non-degenerate planar curve. We show that the curve is of Khintchine-type for convergence in the case of simultaneous approximation in $\mathbb R^2$ with two independent approximation functions; that is if a certain sum converges then the set of all points (x,y) on the curve which satisfy simultaneously the inequalities ||qx|| < ψ1(q) and ||qy|| < ψ2(q) infinitely often has induced measure 0. This completes the metric theory for the Lebesgue case. Further, for multiplicative approximation ||qx|| ||qy|| < ψ(q) we establish a Hausdorff measure convergence result for the same class of curves, the first such result for a general class of manifolds in this particular setup.
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Harmsen, Egbert. "Nieuwe Moslims in West-Europa." Religie & Samenleving 3, no. 3 (2008): 173–96. http://dx.doi.org/10.54195/rs.13152.
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This article deals with conversion to Islam in the western world in general, and in the Netherlands in particular. It is based on existing empirical literature as well as on two masters thesises and on field-research conducted by the author. The individualist nature of modern western society makes it easier for its members to choose a faith different from the beliefs of their parents, e.g. Islam. Four motivations for the choice of this faith are distinguished: social-affective ones (based on positive experiences with Muslims, through marriage or otherwise), intellectual ones (seeing Islam as a logical faith that, moreover, shapes one’s daily behavior positively), problem solving (providing a sense of dignity as well as discipline) and social-structural ones (dissatisfaction with certain patterns in western society). Research demonstrates that there is the necessary continuity between someone’s pre- en post conversion life, also in the consciousness of converts themselves. Combining a western national identity, acquired by birth, with a chosen Islamic one often results in simultaneously identifying with and criticizing the non-Muslim majority society as well as Muslim minority communities. In a social atmosphere of mutual understanding and dialogue, however, converts can play the role of bridge builders.
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Dodds, P. G., T. K. Dodds, P. N. Dowling, C. J. Lennard, and F. A. Sukochev. "A uniform Kadec-Klee property for symmetric operator spaces." Mathematical Proceedings of the Cambridge Philosophical Society 118, no. 3 (1995): 487–502. http://dx.doi.org/10.1017/s0305004100073813.
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AbstractWe show that if a rearrangement invariant Banach function space E on the positive semi-axis satisfies a non-trivial lower q-estimate with constant 1 then the corresponding space E(M) of τ-measurable operators, affiliated with an arbitrary semi-finite von Neumann algebra M equipped with a distinguished faithful, normal, semi-finite trace τ, has the uniform Kadec-Klee property for the topology of local convergence in measure. In particular, the Lorentz function spaces Lq, p and the Lorentz-Schatten classes Cg, p have the UKK property for convergence locally in measure and for the weak-operator topology, respectively. As a partial converse, we show that if E has the UKK property with respect to local convergence in measure then E must satisfy some non-trivial lower q-estimate. We also prove a uniform Kadec-Klee result for local convergence in any Banach lattice satisfying a lower q-estimate.
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BAYAR, BELHASSEN, NIDHAL BOUAYNAYA, and ROMAN SHTERENBERG. "PROBABILISTIC NON-NEGATIVE MATRIX FACTORIZATION: THEORY AND APPLICATION TO MICROARRAY DATA ANALYSIS." Journal of Bioinformatics and Computational Biology 12, no. 01 (2014): 1450001. http://dx.doi.org/10.1142/s0219720014500012.
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Non-negative matrix factorization (NMF) has proven to be a useful decomposition technique for multivariate data, where the non-negativity constraint is necessary to have a meaningful physical interpretation. NMF reduces the dimensionality of non-negative data by decomposing it into two smaller non-negative factors with physical interpretation for class discovery. The NMF algorithm, however, assumes a deterministic framework. In particular, the effect of the data noise on the stability of the factorization and the convergence of the algorithm are unknown. Collected data, on the other hand, is stochastic in nature due to measurement noise and sometimes inherent variability in the physical process. This paper presents new theoretical and applied developments to the problem of non-negative matrix factorization (NMF). First, we generalize the deterministic NMF algorithm to include a general class of update rules that converges towards an optimal non-negative factorization. Second, we extend the NMF framework to the probabilistic case (PNMF). We show that the Maximum a posteriori (MAP) estimate of the non-negative factors is the solution to a weighted regularized non-negative matrix factorization problem. We subsequently derive update rules that converge towards an optimal solution. Third, we apply the PNMF to cluster and classify DNA microarrays data. The proposed PNMF is shown to outperform the deterministic NMF and the sparse NMF algorithms in clustering stability and classification accuracy.
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Edwards, P. P., M. T. J. Lodge, F. Hensel, and R. Redmer. "‘… a metal conducts and a non-metal doesn't’." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1914 (2010): 941–65. http://dx.doi.org/10.1098/rsta.2009.0282.
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In a letter to one of the authors, Sir Nevill Mott, then in his tenth decade, highlighted the fact that the statement ‘… a metal conducts, and a non-metal doesn’t’ can be true only at the absolute zero of temperature, T =0 K. But, of course, experimental studies of metals, non-metals and, indeed, the electronic and thermodynamic transition between these canonical states of matter must always occur above T =0 K, and, in many important cases, for temperatures far above the absolute zero. Here, we review the issues—theoretical and experimental—attendant on studies of the metal to non-metal transition in doped semiconductors at temperatures close to absolute zero ( T =0.03 K) and fluid chemical elements at temperatures far above absolute zero ( T >1000 K). We attempt to illustrate Mott’s insights for delving into such complex phenomena and experimental systems, finding intuitively the dominant features of the science, and developing a coherent picture of the different competing electronic processes. A particular emphasis is placed on the idea of a ‘Mott metal to non-metal transition’ in the nominally metallic chemical elements rubidium, caesium and mercury, and the converse metallization transition in the nominally non-metal elements hydrogen and oxygen. We also review major innovations by D. A. Goldhammer (Goldhammer 1913 Dispersion und absorption des lichtes ) and K. F. Herzfeld (Herzfeld 1927 Phys. Rev. 29 , 701–705. ( doi:10.1103/PhysRev.29.701 )) in a pre-quantum theory description of the metal–non-metal transition, which emphasize the pivotal role of atomic properties in dictating the metallic or non-metallic status of the chemical elements of the periodic table under ambient and extreme conditions; a link with Pauling’s ‘metallic orbital’ is also established here.
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Spanos, Aris. "On Modeling Heteroskedasticity: The Student's t and Elliptical Linear Regression Models." Econometric Theory 10, no. 2 (1994): 286–315. http://dx.doi.org/10.1017/s0266466600008422.
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This paper proposes a new approach to modeling heteroskedastidty which enables the modeler to utilize information conveyed by data plots in making informed decisions on the form and structure of heteroskedasticity. It extends the well-known normal/linear/homoskedastic models to a family of non-normal/linear/heteroskedastic models. The non-normality is kept within the bounds of the elliptically symmetric family of multivariate distributions (and in particular the Student's t distribution) that lead to several forms of heteroskedasticity, including quadratic and exponential functions of the conditioning variables. The choice of the latter family is motivated by the fact that it enables us to model some of the main sources of heteroskedasticity: “thicktails,” individual heterogeneity, and nonlinear dependence. A common feature of the proposed class of regression models is that the weak exogeneity assumption is inappropriate. The estimation of these models, without the weak exogeneity assumption, is discussed, and the results are illustrated by using cross-section data on charitable contributions.
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Scheibye-Knudsen, Morten, Anne Tseng, Martin Borch Jensen, et al. "Cockayne syndrome group A and B proteins converge on transcription-linked resolution of non-B DNA." Proceedings of the National Academy of Sciences 113, no. 44 (2016): 12502–7. http://dx.doi.org/10.1073/pnas.1610198113.
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Cockayne syndrome is a neurodegenerative accelerated aging disorder caused by mutations in the CSA or CSB genes. Although the pathogenesis of Cockayne syndrome has remained elusive, recent work implicates mitochondrial dysfunction in the disease progression. Here, we present evidence that loss of CSA or CSB in a neuroblastoma cell line converges on mitochondrial dysfunction caused by defects in ribosomal DNA transcription and activation of the DNA damage sensor poly-ADP ribose polymerase 1 (PARP1). Indeed, inhibition of ribosomal DNA transcription leads to mitochondrial dysfunction in a number of cell lines. Furthermore, machine-learning algorithms predict that diseases with defects in ribosomal DNA (rDNA) transcription have mitochondrial dysfunction, and, accordingly, this is found when factors involved in rDNA transcription are knocked down. Mechanistically, loss of CSA or CSB leads to polymerase stalling at non-B DNA in a neuroblastoma cell line, in particular at G-quadruplex structures, and recombinant CSB can melt G-quadruplex structures. Indeed, stabilization of G-quadruplex structures activates PARP1 and leads to accelerated aging in Caenorhabditis elegans. In conclusion, this work supports a role for impaired ribosomal DNA transcription in Cockayne syndrome and suggests that transcription-coupled resolution of secondary structures may be a mechanism to repress spurious activation of a DNA damage response.
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Abbas, Imran, Shahid Hasnain, Nawal A. Alatawi, Muhammad Saqib, and Daoud S. Mashat. "Non-Newtonian Nano-Fluids in Blasius and Sakiadis Flows Influenced by Magnetic Field." Nanomaterials 12, no. 23 (2022): 4254. http://dx.doi.org/10.3390/nano12234254.
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Current study solves heat transfer and fluid flow problem in Newtonian and non-Newtonian nano-fluids through a permeable surface with a magnetic field effects which is done in the presence of injection and suction for the first time. In order to solve the governing partial differential equations numerically, we used the Runge-Kutta Fehlberg (RKF45) technique in which the similarity transformation method is applied. This approach converts the governing partial differential equations into ordinary differential equations. In this particular investigation nano-particles of copper, copper oxide, titanium dioxide, and aluminium oxide are studied by considering CMC/water as a base fluid with the effect of magnetic field on the classical Blasius and Sakiadis flows of nano-fluids. Validation is carried out using the previously obtained numerical findings. We looked at the power-law index (n), the volume fraction (φ) of nano-particles and the permeability parameter (fw) which affects the flow of nano-fluid and the transfer of heat. Non-Newtonian nano-fluid demonstrates superior performance in terms of heat transfer when compared to Newtonian nano-fluid in both the injection and the impermeable surfaces. Altering the nano-particles’ composition, on the other hand, has a far greater impact on the heat transfer process that occurs during suction. Graphics show the impacts of governing physical parameters on Blasius and Sakiadis flow velocity, temperature, skin friction coefficient, and reduced Nusselt number. Physical and engineering interest are explored in detail.
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BONDER, JULIÁN FERNÁNDEZ, RAFAEL ORIVE, and JULIO D. ROSSI. "THE BEST SOBOLEV TRACE CONSTANT IN PERIODIC MEDIA FOR CRITICAL AND SUBCRITICAL EXPONENTS." Glasgow Mathematical Journal 51, no. 3 (2009): 619–30. http://dx.doi.org/10.1017/s0017089509990048.
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AbstractIn this paper we study homogenisation problems for Sobolev trace embedding H1(Ω) ↪ Lq(∂Ω) in a bounded smooth domain. When q = 2 this leads to a Steklov-like eigenvalue problem. We deal with the best constant of the Sobolev trace embedding in rapidly oscillating periodic media, and we consider H1 and Lq spaces with weights that are periodic in space. We find that extremals for these embeddings converge to a solution of a homogenised limit problem, and the best trace constant converges to a homogenised best trace constant. Our results are in fact more general; we can also consider general operators of the form aɛ(x, ∇u) with non-linear Neumann boundary conditions. In particular, we can deal with the embedding W1,p(Ω) ↪ Lq(∂Ω).
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Cai, Yi-Fu, Xiao-Han Ma, Misao Sasaki, Dong-Gang Wang, and Zihan Zhou. "Highly non-Gaussian tails and primordial black holes from single-field inflation." Journal of Cosmology and Astroparticle Physics 2022, no. 12 (2022): 034. http://dx.doi.org/10.1088/1475-7516/2022/12/034.
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Abstract For primordial perturbations, deviations from Gaussian statistics on the tail of the probability distribution can be associated with non-perturbative effects of inflation. In this paper, we present some particular examples in which the tail of the distribution becomes highly non-Gaussian although the statistics remains almost Gaussian in the perturbative regime. We begin with an extension of the ultra-slow-roll inflation that incorporates a transition process, where the inflaton climbs up a tiny potential step at the end of the non-attractor stage before it converges to the slow-roll attractor. Through this example, we identify the key role of the off-attractor behaviour for the upward-step transition, and then extend the analysis to another type of the transition with two slow-roll stages connected by a tiny step. We perform both the perturbative and non-perturbative analyses of primordial fluctuations generated around the step in detail, and show that the tiny but nontrivial transition may affect large perturbations in the tail of the distribution, while the perturbative non-Gaussianity remains small. Our result indicates that the non-Gaussian tails can have rich phenomenology which has been overlooked in conventional analyses. We also study the implications of this non-Gaussian tail for the formation of primordial black holes, and find that their mass fraction can be parametrically amplified by several orders of magnitudes in comparison with the case of the Gaussian distribution. Additionally, we also discuss a mechanism of primordial black holes formation for this upward step inflation model by trapping the inflaton in the bottom of the step.
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SULAIEVA, N. "OPPORTUNITIES FOR INTERNATIONAL STUDENTS TO RECEIVE NON-FORMAL ART EDUCATION AT POLTAVA V. G. KOROLENKO NATIONAL PEDAGOGICAL UNIVERSITY." Pedagogical Sciences, no. 79 (September 19, 2022): 70–74. http://dx.doi.org/10.33989/2524-2474.2022.79.264549.
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The article highlights the opportunities to provide international students with non-formal art education in the artistic groups at one of the best pedagogical universities in Ukraine, i.e., Poltava V. G. Korolenko National Pedagogical University. It is emphasized that the university has more than a century of traditions in training pedagogical and non-pedagogical staff and experience in teaching international students. It is pointed up that the university’s scientific and pedagogical staff is a driving force in the progressive development of pedagogical science and practice in Ukraine and provides quality educational services for more than 110 programs. It is noted that Poltava V. G. Korolenko National Pedagogical University has created a social and cultural environment, which traditionally converges different types of educational activities, in particular, formal and non-formal art. The expediency of combining these two educational activity types while studying at the university is substantiated. It allows international students to master the components of selected educational programs and successfully undergo sociocultural adaptation to the learning environment and Ukrainian society. It is highlighted that non-formal art education at Poltava V. G. Korolenko National Pedagogical University is provided to students in artistic and creative groups. These groups’ artistic level is highly recognized within Ukraine and abroad. It is emphasized that non-formal education is each student’s voluntary choice regarding the field of art, a particular group, and compositions to perform, etc. It is determined that international students’ artistic and educational activities, in particular, musical, choreographic, visual, literary, theatrical, etc., in artistic and creative groups, meet their needs to adapt to new conditions. It is a motivating factor for learning about Ukrainian culture. It activates the creative potential of each individual, has a positive effect on the harmonization of psycho-emotional and physical conditions, as well as contributes to the generalization of one’s own life experience, and helps to correlate it with the system of values that have historically developed in the Ukrainian state and modern youth environment, etc.
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Parcet, Javier. "$B$-CONVEX OPERATOR SPACES." Proceedings of the Edinburgh Mathematical Society 46, no. 3 (2003): 649–68. http://dx.doi.org/10.1017/s0013091502000834.
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AbstractThe notion of $B$-convexity for operator spaces, which a priori depends on a set of parameters indexed by $\sSi$, is defined. Some of the classical characterizations of this geometric notion for Banach spaces are studied in this new context. For instance, an operator space is $B_{\sSi}$-convex if and only if it has $\sSi$-subtype. The class of uniformly non-$\mathcal{L}^1(\sSi)$ operator spaces, which is also the class of $B_{\sSi}$-convex operator spaces, is introduced. Moreover, an operator space having non-trivial $\sSi$-type is $B_{\sSi}$-convex. However, the converse is false. The row and column operator spaces are nice counterexamples of this fact, since both are Hilbertian. In particular, this result shows that a version of the Maurey–Pisier Theorem does not hold in our context. Some other examples of Hilbertian operator spaces will be considered. In the last part of this paper, the independence of $B_{\sSi}$-convexity with respect to $\sSi$ is studied. This provides some interesting problems, which will be posed.AMS 2000 Mathematics subject classification: Primary 46L07. Secondary 42C15