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I demonstrate that Deleuze's identification of Aion as an empty form (of time) offers a fascinating model of temporality that prioritises variation. First, I suggest that Deleuze's identification of time as an empty form is supported by ancient Greek and Gnostic concepts of the relation of Aion and Chronos. From Plato, through Aristotle, to Plotinus the concept of time undergoes substantive revision, in the sense that temporal measurement becomes removed from the measurement of existent entities (cosmic or sublunar bodies). This gradual untethering of time from movement gives rise to the development of the concept of eternity as an ontologically comprehensive mode of time that is devoid of content (i.e. a movement not indexed to the movement of cosmic or sublunar entities). It is here, with Deleuze's reading of the Platonic cosmology, that we see the first hints of the suggestion that Aion is involved with ontogenesis. Eternity is characterised as: (1) a temporal 'all' (i.e. generality) that is non-reducible to the determinacy implied by any particular temporally localised existent or temporal series (i.e. a succession relation of temporally discrete moments); (2) that which tends towards a diversity of possible states of affairs. Perhaps one of the most interesting aspects in the long history of Aion is that – in the ancient world – it was used in magical incantations. For the Gnostics and Oracles, Aion was a deity, and a potent one at that. From the Gnostic papyri, we get a vision of Aion as a force which enjoys eternal realisation. I suggest that the papyri conjure an image of Aion as a deity that is liberated from time, in the sense that it enjoys a neutrality with respect to the movements of any particular entity or group of entities – a form, in the most general sense of the term. Then, to clarify this mercurial aspect of an empty form of time, I elaborate on a complex analogy between Aion and Deleuze's concept of an 'ideal game' – an analogy that Deleuze specifies through reference to Fitzgerald and Borges. The claim is that Aion is an analogue of an ideal game in the (limited) sense that both share essential properties. Both Aion and the ideal game involve the multiplication of chance. Finally, I suggest that the differential aspects of Aion imply that it is pure variability; something which can be illustrated through a differential equation. These yield the suggestion that Aion enjoys realisation as an ontogenetic force. I further claim that ontogenetic forces may enjoy expression as the content of literature and (Riemannian-inspired) mathematics. In concrete terms, temporality is involved in the creation of existent entities, which may be illustrated as various types of continuous multiplicity. [ABSTRACT FROM AUTHOR]

This paper is based on one idea and built around one clinical experience that helped me to broaden my comprehension of it. The idea, underlying the work of several authors is that when the analytic field is saturated with primitive and unintegrated mental contents, the analyst's somatic countertransference is a precious indicator of a deep, dissociated form of communication. The clinical experience concerns the difficult elaboration of a complex, multifaceted countertransference that took place during the early stages of the analysis of a sensitive patient who used to communicate in a very dissociated way and that I found hard to contain. This experience, closely descripted in the article, led me to formulate the clinical idea that the transference field may be made of distinct layers (psychoid, affective, verbal), and that each one of them may potentially convey dissociated, even contrasting bits of information. The corollary of this is that the analyst should be ready to accept contrasting sensations, feelings, and thoughts at the same time, as they might be the basic ingredients of a complex reverie. The analyst could find himself/herself in front of his/her own internal unelaborated multiplicity before a symbolic image may emerge to link between them the scattered pieces of the experience. Nevertheless, the heart of this paper is not about suggesting an idea, but in the sharing of a complex working through, which fostered the birth of a new, more human relational perspective: the capacity of being together in time, in a transitional space where there is neither total separation nor fusion. [ABSTRACT FROM AUTHOR]

This discussion centers around Weisel-Barth's question about the limits of empathy and the use of what she refers to as expanded empathy. The author views some of the clinical moments Weisel-Barth describes through the lens of a trauma and dissociation informed perspective resting on the presumption of the multiplicity of the self. The explosive disruption Weisel-Barth describes is viewed as an enactment expressing multiple layers of trauma, including intergenerational trauma. [ABSTRACT FROM AUTHOR]

The choice of fuels has frequently been at the center of debates about how a future low-carbon mobility system can be achieved. This paper introduces two visions of biogas fuels and electricity using material from interviews and documents in Swedish transport. These visions are analyzed as interrelated sociotechnical imaginaries. To better understand the way visions of biogas and electric vehicles (EVs) dynamically shape and condition each other, four dimensions of sociotechnical imaginaries are further developed: spatial boundedness, temporality, coherence and contestation, and the socio-material relations they are associated with. Imaginaries of biogas and EVs differ with respect to these characteristics. The biogas imaginary is made up of locally bounded visions of the desirable future, showing how imaginaries can be fragmented and contested, often because of their embeddedness in local socio-material systems of resource use. This local boundedness is exemplified by contrasting cases of contested biogas imaginaries in the Swedish municipalities of Linköping and Malmö. The imaginary of EVs, in contrast, is more uniform nationally and even influenced by international expectations that in the future vehicles will be shared, electric, and autonomous. The qualities of these imaginaries shape the way they interrelate and coevolve as sociotechnical changes of the transport system unfold. [ABSTRACT FROM AUTHOR]

The primary aim of this paper is to outline the so-called “narrative method”, understood as a heuristic device that helps to elucidate and analyze every type of linguistic event. Accordingly, it should be also kept in mind at all times that “an event” for us is comprehended as something that is always bound to language and stories – there is no way out of language or stories. They are the primary constituents of the structure of our reality, as well as the source for understanding something as reality (or fiction). The results of implementing the narrative method on different disciplines and sciences are multiple, even though the basic outcome is essentially connected to elucidating the fundamental narrativity of various language configurations. What also stems from this is the insight that we are always dealing with the pure multiplicity of contingent stories. The first part of the text examines the legitimacy of such a method. It also points out the underlying premises on which the narrative method is set forth. The second part of the text demonstrates some of the examples which can be read as constitutive for profiling thus explicated method of narration. [ABSTRACT FROM AUTHOR]

This note defines a notion of multiplicity for nodes in a rooted tree and presents an asymptotic calculation of the maximum multiplicity over all leaves in a Bienaym'e-Galton-Watson tree with critical offspring distribution ξ, conditioned on the tree being of size n. In particular, we show that if Sn is the maximum multiplicity in a conditioned Bienaym'e-Galton-Watson tree, then Sn = (log n) asymptotically in probability and under the further assumption that E{2ξ} < 1, we have Sn = O(log n) asymptotically in probability as well. Explicit formulas are given for the constants in both bounds. We conclude by discussing links with an alternate definition of multiplicity that arises in the root-estimation problem. [ABSTRACT FROM AUTHOR]

Currently, better data is called for around the world to strengthen detection and response to epidemics. Health information systems are envisioned to provide such data in a coherent manner, but different rationalities of those engaged in the collection and use of data, often lead to fragmentation. In this article we present a socio-technical analysis of the multiple flows of information construction for disease surveillance. Our study is based on fieldwork done in Burkina Faso in West Africa during 2015–2017. The case concerns meningitis control in Burkina Faso focusing on two flows in its meningitis surveillance and response system: (1) data flow from health worker's initial record on the first contact with the patient to the national level statistics compilation office, (2) substance and related data flows from the sample extracted by the health worker to the laboratories and their reporting of the test results. Drawing from the field of sociology of knowledge and technology, we base our analytical framework on four key concepts: circulating reference, multiplicities, rationalities, and temporalities. While circulating reference and multiplicities concern the "how" of information construction, rationalities and temporalities focus the attention on the "why", reflecting the positions of different actors. Our findings show that viewed over time, fragmentation also gives rise to coherence in the information system. Providing "good" data follows a "temporality of rationality", where data which are considered useful are highly affected by when they are needed, by whom, and for what purpose. Taken together, this framework provides for the development of sociologically grounded research on the how and why of information construction, which is also critical for improving the practice of disease surveillance. [ABSTRACT FROM AUTHOR]

Copyright of Educação is the property of EDIPUCRS - Editora Universitaria da PUCRS and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

The present paper intends to follow the debate on applied research in Czech social sciences and presents the case of interdisciplinary research in Southern Slovakia. The authors frame their approach to the research field using the Deleuzian terms of virtuality and multiplicity to underline the processual character of both ethnography and the field itself. On this basis, we develop the argument that the social sciences always act ontologically through their performative nature, which is especially, but not exclusively, true for such applied research where intervention plays an integral part. We consider our intended actions according to the features of the so-called medium design to be desired interplays, which transfer our actions to other actors in our research field and within which we seek to improve the living conditions in a building of flats at risk of eviction. Such interventions carry unintended consequences, which we reflect on in the text and describe how we dealt with them. The mission is to consider engagement and intervention in terms of their public and practical addressability and to show that the use of knowledge outside of academics as being something implicit to the social sciences rather than a trendy extension of their scope. [ABSTRACT FROM AUTHOR]

Copyright of Journal Of Sichuan University (Natural Sciences Division) / Sichuan Daxue Xuebao-Ziran Kexueban is the property of Editorial Department of Journal of Sichuan University Natural Science Edition and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

The aim of this paper is to make good philosophical sense of Plato's portrayal of Zeno in the Phaedrus , both in itself and in the light of the characterization emerging from the Parmenides , where Plato describes Zeno as a faithful defender of the doctrine of the One-All professed by his teacher Parmenides. Therefore, starting from the example of the Parmenides , I will demonstrate that, from Plato's point of view, the pairs of opposites that characterize Zeno's arguments in the Phaedrus do not constitute contrasting positions that the Eleatic thinker adopted at different times, but contradictory consequences deriving from the admission of multiplicity. Finally, this will allow us to truly understand both the reason why in the Phaedrus Zeno is counted among those who practice the ἀντιλογικὴ τέχνη and the sarcasm that Plato expresses through the epithet Palamedes. [ABSTRACT FROM AUTHOR]

Let P be a minimal parabolic subgroup of a real reductive Lie group G and H a closed subgroup of G. Then it is proved by Kobayashi and Oshima that the regular representation C ∞ (G / H) contains each irreducible representation of G at most finitely many times if the number of H -orbits on G / P is finite. Moreover, they also proved that the multiplicities are uniformly bounded if the number of H ℂ -orbits on G ℂ / B is finite, where G ℂ , H ℂ are complexifications of G , H , respectively, and B is a Borel subgroup of G ℂ . In this paper, we prove that the multiplicities of the representations of G induced from a parabolic subgroup Q in the regular representation on G / H are uniformly bounded if the number of H ℂ -orbits on G ℂ / Q ℂ is finite. For the proof of this claim, we also show the uniform boundedness of the dimensions of the spaces of group invariant hyperfunctions using the theory of holonomic X -modules. [ABSTRACT FROM AUTHOR]

In this article, we study the multiplicity, asymptotics and stability of standing waves with prescribed mass c > 0 for nonlinear Schrödinger equation with rotation in the mass-supercritical regime arising in Bose-Einstein condensation. Under suitable restriction on the rotation frequency, by searching critical points of the corresponding energy functional on the mass-sphere, we obtain a local minimizer u c and a mountain pass solution u ˆ c. Furthermore, we show that u c is a ground state for small mass c > 0 and describe a mass collapse behavior of the minimizers as c → 0 , while u ˆ c is an excited state. Finally, we prove that the standing wave associated with u c is stable. Notice that the pioneering works [2,8] imply that finite time blow-up of solutions to this model occurred in the mass-supercritical setting, therefore, we in the present paper obtain a new stability result. The main contribution of this paper is to extend the main results in [4,17] concerning the same model from mass-subcritical and mass-critical regimes to mass-supercritical regime, where the physically most relevant case is covered. [ABSTRACT FROM AUTHOR]

A numerical semigroup S is closed under addition of its divisors (C -semigroup) if the following condition holds: if s ∈ S \ { 0 } and d is a non trivial divisor of s then s + d ∈ S . In this paper we prove that the set of all C -semigroups is a Frobenius variety. As a consequence, we give algorithms to compute the set C -semigroups with fixed multiplicity, genus and Frobenius number. [ABSTRACT FROM AUTHOR]

The growth of the global video game industry has resulted in an inflow of new entrants who aspire to create novel video games and preferably new video game genres. From an empiricist perspective presented by Gilles Deleuze, a video game is an agencement that materialize on the basis of the relations between the elements included in the game (e.g. computer code, game design ideas, the narrative structure of the game, interface design, etc.). A study of indie video game developers examines how the video game as agencement is composed of technical and narrative elements, and how the subject-formation process of the developer is bound up with the creation of video games. That is, indie video game developers are part of the creative work to develop new digital artefacts that per se are relational and composite in nature, as premised by the concept of agencement. [ABSTRACT FROM AUTHOR]

In 2014, Germany became the 173rd state to ratify the UN Convention against Corruption (UNCAC) – after more than ten years of disputes in the German parliament. To make sense of the protracted debates about ratifying UNCAC, the article follows the recent introduction of Luc Boltanski's pragmatic sociology to International Relations (IR). I argue that this approach opens new avenues for researching normativity in hybrid arrangements of multiple, overlapping orders of worth and through ongoing tests of the right evaluation of a situation. I show that the belayed ratification of UNCAC in Germany was the result of the hybridity inherent to norms against corruption. In the debates, members of the German parliament relied on competing normative inventories to translate the term 'public official' to the German context and to settle the meaning of corruption. This article contributes to IR norm research by unpacking normative multiplicity and contradictions that undergird international norms and disputes about them. [ABSTRACT FROM AUTHOR]

The contribution aims to outline the next steps of STS studies in order to challenge contingencies and changes in an unstable World. The crisis of One-World World’s approach and the appearance of multiplicity in different forms opened up the possibility to a more engaged STS. In this regard, a more lateral approach and a constant attention to unstabilized phenomena has to be promoted.

We present a more general homological characterization of the direct summand theorem (DST). Specifically, we state two new conjectures: the socle-parameter conjecture (SPC) in its weak and strong forms. We give a proof for the weak form by showing that it is equivalent to the DST. Furthermore, we prove the SPC in its strong form for the case when the multiplicity of the parameters is smaller than or equal to two. Finally, we present a new proof of the DST in the equicharacteristic case, based on the techniques thus developed.

We can say that Sadr al-Muta'llehin-al-Sharīī, in his works, have been mentioned the opinions of all the preconceived scholars regarding the quality of the issue of the multiplicity of unity. Hence, it is difficult to analyze his real opinion about this issue. However, in this article, we have tried to summarize and review all the comments that he has made in this regard. From the examination of the various views Sadra makes on the issue of issuance, one can conclude that he, however, expresses these views from various philosophical, verbal and mystical points of view, and in the works of philosophers and theologians And the mystics before him are equally found, he has somehow tried to defend the rule known as Al-Wahid and actually combine these views with this rule. But in this article we are seeking to show that the combination of these different views and the rule of Al-Wahid did not only help Sadra in explaining the quality of the exodus of the Almighty, but also confronts him with more conflicts, explaining and justifying his views did not rely on this rule, his arguments were more justified and acceptable.

In this paper, we study the uniqueness and multiplicity of positive solutions of one-dimensional prescribed mean curvature equation \begin{equation*}\left\{ \begin{array}{l} - \left({\frac{{u'}}{{\sqrt {1 - u{'^2}} }}} \right)' = \lambda f\left(u \right), \\ u\left(x \right) > 0, - 1 < x < 1, \\ u\left({ - 1} \right) = u\left(1 \right) = 0, \end{array} \right.\end{equation*} where $\lambda$ is a positive parameter. The main tool is the fixed point index in cones.

We study positive solutions to the fractional Lane-Emden system

According to the Spanish law of assisted reproduction, women intending to donate eggs must be “in good psychophysical health” and “do not suffer from genetic or infectious hereditary diseases transmissible to the offspring” (chapter II, article 5). What a “good” psychophysical health condition is, what the “transmissible diseases” are, and what counts as disease at all remains contested. In this paper, we explore how these broad legal criteria materialize through different tests and selection procedures. Drawing on extensive ethnographic fieldwork in Spanish fertility clinics and with egg donors in Spain, we argue that selection and management procedures are organized to split egg donors as “multiple bodies” (Mol 2002), which will have to be tamed in different ways. On the one hand, we will refer to the making of a “biographical subject,” for which we understand the donor to be a conscious autonomous subject. And on the other hand, we refer to the “body object,” for which we understand the donor to be a terrain of potential extractability. As we argue, clinics aim to select a responsible biographical subject who kindly obeys professionals’ instructions throughout the process in order to make the body object accessible to clinics’ extraction purposes. To conclude, our paper sheds light on issues of “reproductive in/justice” by discussing how the reproductive rights of intended parents through egg donation are entangled with inequalities of egg donors.

This paper examines whether the level of enforcement shapes the complexity in accounting standards. First, in order to identify the level of complexity in accounting standards, we calculated a new measure that conceptualizes accounting complexity based on the theoretical dimensions of multiplicity and diversity. To calculate this new measure, the content of each International Financial Reporting Standard and International Accounting Standard, in 2018, was analyzed. Second, we investigated whether the level of enforcement affects this score, using the number of enforcements published by the European Securities and Markets Authority (ESMA). Our results show that accounting standards with a higher number of enforcements by ESMA are also more complex, suggesting that enforcement is an important factor that explains the level of complexity of an accounting standard. This study is particularly relevant for regulators in the accounting, auditing, and enforcement fields, since it provides evidence of how enforcement contributes to increasing the level of complexity of accounting standards. This study contributes to the debate on the interdependence of enforcement and accounting regulation, showing that enforcement mechanisms can influence accounting standards. This study also calculates a new measure of complexity in accounting standards, rather than using a quantitative proxy.

Abstract In this paper, we study the existence and multiplicity of solutions of the quasilinear problems with minimum and maximum (ϕ(u′(t)))′=(Fu)(t),a.e. t∈(0,T),min{u(t)∣t∈[0,T]}=A,max{u(t)∣t∈[0,T]}=B, $$\begin{aligned}& \bigl(\phi \bigl(u'(t)\bigr)\bigr)'=(Fu) (t),\quad \mbox{a.e. }t\in (0,T), \\& \min \bigl\{ u(t) \mid t\in [0,T]\bigr\} =A, \qquad \max \bigl\{ u(t) \mid t\in [0,T]\bigr\} =B, \end{aligned}$$ where ϕ:(−a,a)→R $\phi :(-a,a)\rightarrow \mathbb{R}$ ( 01 $T>1$ is a constant and A,B∈R $A, B\in \mathbb{R}$ satisfy B>A $B>A$. By using the Leray–Schauder degree theory and the Brosuk theorem, we prove that the above problem has at least two different solutions.

Given a combinatorially symmetric matrix A whose graph is a tree T and its eigenvalues, edges in T can be classified in four categories, based upon the change in geometric multiplicity of a particular eigenvalue, when the edge is removed. We investigate a necessary and sufficient condition for each classification of edges. We have similar results as the case for real symmetric matrices whose graph is a tree. We show that a g-2-Parter edge, a g-Parter edge and a g-downer edge are located separately from each other in a tree, and there is a g-neutral edge between them. Furthermore, we show that the distance between a g-downer edge and a g-2-Parter edge or a g-Parter edge is at least 2 in a tree. Lastly we give a combinatorially symmetric matrix whose graph contains all types of edges.

We consider a structured inverse eigenvalue problem in which the eigenvalues of a real symmetric matrix are specified and selected entries may be constrained to take specific numerical values or to be nonzero. This includes the problem of specifying the graph of the matrix, which is determined by the locations of zero and nonzero entries. In this article, we develop a numerical method for constructing a solution to the structured inverse eigenvalue problem. The problem is recast as a constrained optimization problem over the orthogonal manifold, and a numerical optimization routine seeks its solution.

This article proposes a new framework for policy success that potentially facilitates planning, tracking, evaluating and communicating the trajectory of successes in a policy initiative. In this reframing of success, rather than being singular, successes are multiple and relational. Playing out in a shifting story-scape that progresses throughout the life of a policy, this approach addresses many of the challenges for public administrators trying to establish policy success in a demanding and complex policy environment. Re-purposing data from research on a trans-national border policy development over 2009 to 2012, this article applies the new framework to illustrate the power of the new approach. Using concepts of relationality, multiplicity, translation and stabilization, it builds on and acknowledges the value of Marsh and McConnell’s framework for policy success. This dynamic narrative approach blends the narrative contributions of Hannah Arendt and Bruno Latour with Marsh and McConnell’s three dimensions of success. In so doing, it reveals the effects of shifting narratives across the three dimensions, and demonstrates how it addresses problems with Marsh and McConnell’s framework. Its ability to be forward-looking, and therefore valuable for planning, differentiates the approach from criticisms of the retroactive, and therefore limited use, of other policy narrative approaches.

When different researchers study the same research question using the same dataset they may obtain different and potentially even conflicting results. This is because there is often substantial flexibility in researchers' analytical choices, an issue also referred to as "researcher degrees of freedom". Combined with selective reporting of the smallest p-value or largest effect, researcher degrees of freedom may lead to an increased rate of false positive and overoptimistic results. In this paper, we address this issue by formalizing the multiplicity of analysis strategies as a multiple testing problem. As the test statistics of different analysis strategies are usually highly dependent, a naive approach such as the Bonferroni correction is inappropriate because it leads to an unacceptable loss of power. Instead, we propose using the "minP" adjustment method, which takes potential test dependencies into account and approximates the underlying null distribution of the minimal p-value through a permutation-based procedure. This procedure is known to achieve more power than simpler approaches while ensuring a weak control of the family-wise error rate. We illustrate our approach for addressing researcher degrees of freedom by applying it to a study on the impact of perioperative p a O 2 on post-operative complications after neurosurgery. A total of 48 analysis strategies are considered and adjusted using the minP procedure. This approach allows to selectively report the result of the analysis strategy yielding the most convincing evidence, while controlling the type 1 error-and thus the risk of publishing false positive results that may not be replicable., (© 2024. The Author(s).)

In clinical trials, multiple comparisons arising from various treatments/doses, subgroups, or endpoints are common. Typically, trial teams focus on the comparison showing the largest observed treatment effect, often involving a specific treatment pair and endpoint within a subgroup. These findings frequently lead to follow-up pivotal studies, many of which do not confirm the initial positive results. Selection bias occurs when the most promising treatment, subgroup, or endpoint is chosen for further development, potentially skewing subsequent investigations. Such bias can be defined as the deviation in the observed treatment effects from the underlying truth. In this article, we propose a general and unified Bayesian framework to address selection bias in clinical trials with multiple comparisons. Our approach does not require a priori specification of a parametric distribution for the prior, offering a more flexible and generalized solution. The proposed method facilitates a more accurate interpretation of clinical trial results by adjusting for such selection bias. Through simulation studies, we compared several methods and demonstrated their superior performance over the normal shrinkage estimator. We recommended the use of Bayesian Model Averaging estimator averaging over Gaussian Mixture Models as the prior distribution based on its performance and flexibility. We applied the method to a multicenter, randomized, double-blind, placebo-controlled study investigating the cardiovascular effects of dulaglutide., (© 2024 John Wiley & Sons Ltd.)

Our ability to perceive multiple objects is mysterious. Sensory neurons are broadly tuned, producing potential overlap in the populations of neurons activated by each object in a scene. This overlap raises questions about how distinct information is retained about each item. We present a novel signal switching theory of neural representation, which posits that neural signals may interleave representations of individual items across time. Evidence for this theory comes from new statistical tools that overcome the limitations inherent to standard time-and-trial-pooled assessments of neural signals. Our theory has implications for diverse domains of neuroscience, including attention, figure binding/scene segregation, oscillations, and divisive normalization. The general concept of switching between functions could also lend explanatory power to theories of grounded cognition., Competing Interests: Declaration of interests The authors declare no competing interests., (Copyright © 2024 The Authors. Published by Elsevier Ltd.. All rights reserved.)

In Prehistory, Paleolithic stone toolkits are allotted to distinct cultural phases, explained through a periodization that has been adopted as a strategic reference by specialists in lithic studies, based on: 1) the categorization of morpho-types observed in the assemblages; 2) the dominant manufacture technologies and 3) temporal categorizations based on geo-archeological data. Significant changes in toolkits are observed through time, signaling variations in extinct hominin behavioral configurations. They characterize the denominative classifications of the techno-complexes, presently defined under consensus. Applying the Homogeneity, Variability, Diversity, Multiplicity (HVDM) paradigm as a conceptual scheme for understanding the structural evolution of human technologies, we define the Multiplicity phase, exploring the techno-social consequences of changes materialized in the Late Acheulian of Western Europe, presaging the Middle Paleolithic world of the Neandertals and the arrival on the scene of our own species; Homo sapiens. During this period, in Western Europe, Homo heidelbergensis was undergoing biological transformations, which appear to have fused into a range of hominin forms, raising questions of intra-species contacts and cultural exchange on a backdrop of branching evolutionary configurations. Beyond handaxe production, this period is marked by significant social and behavioral revolutions: changes in landscape use, high population mobility and inter-connectivity, tool-type diversity, technological innovations, as well as the expansion of distinct hominin clades throughout the Old World. We examine the impulses for these changes, in particular, the prominent role played by the mastery of fire in revolutionizing human socialization processes. [ABSTRACT FROM AUTHOR]

This paper is concerned with the existence and multiplicity of constant sign solutions for the following fully nonlinear equation { − M±C (D2u) = μƒ(u) in Ω, u = 0 on ∂Ω, where Ω ⊂ RN is a bounded regular domain with N ≥ 3 , M±C are general Hamilton-Jacobi-Bellman operators, μ is a real parameter. By using bifurcation theory, we determine the range of parameter μ of the above problem which has one or multiple constant sign solutions according to the behaviors of ƒ at 0 and ∞, and whether ƒ satisfies the signum condition ƒ(s) s > 0 for s ≠ 0. [ABSTRACT FROM AUTHOR]

Let N be the set of nonnegative integer numbers. A plane monoid is a submonoid of (N 2 , +) . Let M be a plane monoid and p , q ∈ N . We will say that an integer number n is M(p, q)-bounded if there is (a , b) ∈ M such that a + p ≤ n ≤ b - q . We will denote by A (M (p , q)) = { n ∈ N ∣ n is M (p , q) -bounded }. An A (p , q) -semigroup is a numerical semigroup S such that S = A (M (p , q)) ∪ { 0 } for some plane monoid M. In this work we will study these kinds of numerical semigroups. [ABSTRACT FROM AUTHOR]

A basket trial in oncology encompasses multiple "baskets" that simultaneously assess one treatment in multiple cancer types or subtypes. It is well-recognized that hierarchical modeling methods, which adaptively borrow strength across baskets, can improve over simple pooling and stratification. We propose a novel Bayesian method, RoBoT (Robust Bayesian Hypothesis Testing), for the data analysis and decision-making in phase II basket trials. In contrast to most existing methods that use posterior credible intervals to determine the efficacy of the new treatment, RoBoT builds upon a formal Bayesian hypothesis testing framework that leads to interpretable and robust inference. Specifically, we assume that the baskets belong to several latent subgroups, and within each subgroup, the treatment has similar probabilities of being more efficacious than controls, historical, or concurrent. The number of latent subgroups and subgroup memberships are inferred by the data through a Dirichlet process mixture model. Such model specification helps avoid type I error inflation caused by excessive shrinkage under typical hierarchical models. The operating characteristics of RoBoT are assessed through computer simulations and are compared with existing methods. Finally, we apply RoBoT to data from two recent phase II basket trials of imatinib and vemurafenib, respectively. [ABSTRACT FROM AUTHOR]

Dual frame surveys are a device to reduce the costs derived from data collection in surveys and improve coverage for the whole target population. Since their introduction, in the 1960's, dual frame surveys have gained much attention and several estimators have been formulated based on a number of different approaches. In this work, we propose new dual frame estimators based on the population empirical likelihood method originally proposed by Chen and Kim (Stat Sin 24:335–355, 2014) and using both the dual and the single frame approach. The extension of the proposed methodology to more than two frame surveys is also sketched. The performance of the proposed estimators in terms of relative bias and relative mean squared error is tested through simulation experiments. These experiments indicate that the proposed estimators yield better results than other likelihood-based estimators proposed in the literature. [ABSTRACT FROM AUTHOR]

In this paper, by utilizing a newly established variational principle on convex sets, we provide an existence and multiplicity result for a class of semilinear elliptic problems defined on the whole ℝ N with nonlinearities involving linear and superlinear terms. We shall impose no growth restriction on the nonlinear term, and consequently, our problem can be supercritical in the sense of the Sobolev embeddings. [ABSTRACT FROM AUTHOR]

Heterogeneity is an enormously complex problem because there are so many dimensions and variables that can be considered when assessing which ones may influence an efficacy or safety outcome for an individual patient. This is difficult in randomized controlled trials and even more so in observational settings. An alternative approach is presented in which the individual patient becomes the "subgroup," and similar patients are identified in the clinical trial database or electronic medical record that can be used to predict how that individual patient may respond to treatment. [ABSTRACT FROM AUTHOR]

Psyche is non-binary and multiple and clinical work in the analytic container must be held in the fluidity of multiplicity. Analysts are called to bring Queer energy to analytical attitude. Queer energy is intrinsically non-conforming and desires to confront a priori concepts in service to the unfolding of the Self. A Queer analytic attitude seeks to blur narrative, deconstruct language and listen deeply for what is emergent in the field. Queer energy is also deeply activating and often results in polarizations of attitude and a failure to hold what is emergent. This response to Withers (2020) and to (Herdzik 2021) is an invitation for all of us to engage our activated complexes around work with transgender issues and the fluidity of the Queer experience. The multiplicity of the Self seeks to be known through analytic process. Consciously held authentic experience of what is emergent and thus unknown is at the core of this process. An analysis capable of holding Queer energy offers a theatre for the exploration of gender identity and its expression. [ABSTRACT FROM AUTHOR]

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In this paper, we study the existence of positive solutions for a system of fractional differential equations with ρ-Laplacian operators, Riemann–Liouville derivatives of diverse orders and general nonlinearities which depend on several fractional integrals of differing orders, supplemented with nonlocal coupled boundary conditions containing Riemann–Stieltjes integrals and varied fractional derivatives. The nonlinearities from the system are continuous nonnegative functions and they can be singular in the time variable. We write equivalently this problem as a system of integral equations, and then we associate an operator for which we are looking for its fixed points. The main results are based on the Guo–Krasnosel’skii fixed point theorem of cone expansion and compression of norm type.

The telescopic numerical semigroups are a subclass of symmetric numerical semigroups widely used in algebraic geometric codes. Suer and Ilhan gave the classification of triply generated telescopic numerical semigroups up to multiplicity 10 and by using this classification they computed some important invariants in terms of the minimal system of generators. In this article, we extend the results of Suer and Ilhan for telescopic numerical semigroups of multiplicities 8 and 12 with embedding dimension four. Furthermore, we compute two important invariants namely the Frobenius number and genus for these classes in terms of the minimal system of generators.