Order Terms Research Articles

Exponential densities and compound Poisson measures

AbstractWe prove estimates at infinity of convolutions and densities of the corresponding compound Poisson measures for a class of radial decreasing densities on , , which are not convolution equivalent. Existing methods and tools are limited to the situation in which the convolution is comparable to initial density at infinity. We propose a new approach, which allows one to break this barrier. We focus on densities, which are products of exponential functions and smaller order terms—they are common in applications. In the case when the smaller order term is polynomial, estimates are given in terms of the generalized Bessel function. Our results can be seen as the first attempt to understand the intricate asymptotic properties of the compound Poisson and more general infinitely divisible measures constructed for such densities.

Molecular engineering of technologically relevant surfaces - carboxylic acids on naturally oxidized aluminum

Aluminum is a versatile, yet inexpensive metal that, when covered by oxide layer, might be employed as a gate dielectric in OFET devices, which carrier mobility could be enhanced by functionalization of dielectric by aliphatic carboxylic acid self-assembled monolayer (SAM). Although the organization of such SAMs plays an important role for the OFET performance, no systematical analysis of the impact of the preparation conditions on the quality of the carboxylate SAMs on aluminum oxide has been conducted so far, to the best of our knowledge. In the current work, we analyze, by the example of heptadecanoic acid SAM, the influence of the three crucial factors (i.e., type of solvent, immersion time, and incubation temperature) on the quality of the monolayer prepared by the standard immersion procedure. Several complementary techniques are combined to demonstrate a critical role of solvent choice in terms of monolayer order, orientation, thickness, and wettability. The results indicate in particular that the high solubility hinders the creation of high-quality SAMs, probably due to the solvent molecules incorporation into the monolayer. As a result of this study, we propose and rationalize a set of parameters enabling to obtain densely packed and well-ordered carboxylate SAMs on naturally oxidized aluminum.

A Special Relativistic Exploitation of the Second Law of Thermodynamics and Its Non-Relativistic Limit.

A thermodynamic process is a solution of the balance equations fulfilling the second law of thermodynamics. This implies restrictions on the constitutive relations. The most general way to exploit these restrictions is the method introduced by Liu. This method is applied here, in contrast to most of the literature on relativistic thermodynamic constitutive theory, which goes back to a relativistic extension of the Thermodynamics of Irreversible Processes. In the present work, the balance equations and the entropy inequality are formulated in the special relativistic four-dimensional form for an observer with four-velocity parallel to the particle current. The restrictions on constitutive functions are exploited in the relativistic formulation. The domain of the constitutive functions, the state space, is chosen to include the particle number density, the internal energy density, the space derivatives of these quantities, and the space derivative of the material velocity for a chosen observer. The resulting restrictions on constitutive functions, as well as the resulting entropy production are investigated in the non-relativistic limit, and relativistic correction terms of the lowest order are derived. The restrictions on constitutive functions and the entropy production in the low energy limit are compared to the results of an exploitation of the non-relativistic balance equations and entropy inequality. In the next order of approximation our results are compared to the Thermodynamics of Irreversible Processes.

Derivation Contestations Among Arab Scholars Regarding Ibnu Fāris’s Dictionary Maqāyīs Al-Luġah

The Dictionary Maqāyīs al-Luġah, developed by Ibnu Fāris (d.395H/1004A.D), is one of the most applicable dictionaries in the Arabic language, relying on the idea of derivation in its construction. Some Arabic linguists argue that derivation in the dictionary is a semantic derivation, whereas others claim it is verbal. Al-Suyuti sees small as the only type of derivation. Meanwhile, Muḥammad Jabal states that axial semantics derivation is what the Ibnu Fāris dictionary was built on. This study examines the lack of consensus among linguists on the derivation basis of Ibnu Fāris’ dictionary (d.395H/1004A.D) proposed by al-Zajjāj (d.311H/923A.D), who defined Derivation as “every two words that share common letters.” On the other hand, al-Ramani (d.384H/994A.D) defined it terminologically as “deducting a branch from an origin.” This disagreement over derivation concepts sparked a debate among Arabic linguistic scholars, particularly in determining the type compatible with the derivation concept. It is inconclusive which derivation was applied in building Ibnu Faris’ Dictionary. Thus, the current study was proposed in response to the ongoing controversy. This research applied the descriptive approach. Based on the selected corpus, this study explored small derivation and axial semantics types compatible with the derivation concept, and both types were found in the dictionary. Small derivation meets the derivation criteria in terms of construction, order, and broad connotation, whereas axial semantics controls the internal semantic framework of the linguistic root. Other non-derivations, such as big, bigger, and biggest, are also deemed linguistic phenomena.

Consistent lattice Boltzmann methods for the volume averaged Navier–Stokes equations

We derive a novel lattice Boltzmann scheme, which uses a pressure correction forcing term for approximating the volume averaged Navier–Stokes equations (VANSE) in up to three dimensions. With a new definition of the zeroth moment of the Lattice Boltzmann equation, spatially and temporally varying local volume fractions are taken into account. A Chapman–Enskog analysis, respecting the variations in local volume, formally proves the consistency towards the VANSE limit up to higher order terms. The numerical validation of the scheme via steady state and non-stationary examples approves the second order convergence with respect to velocity and pressure. The here proposed lattice Boltzmann method is the first to correctly recover the pressure with second order for space-time varying volume fractions.

L’agent en psychanalyse lacanienne : considérations théoriques et épistémologiques

ObjectivesThe aim of this paper is to conceptualize the term “agent” which appears multiple times throughout Lacan's teaching. The challenge is to produce a coherent theorization of the term in order to properly situate it in the psychoanalytic praxis and to study the influence of North American culturalism on this praxis. MethodWe will examine the evolution of the notion of agent throughout Lacan's teaching. This trajectory begins officially in 1956, then disappears in 1959, only to re-emerge in 1969 in a radically different fashion. It is then a question of specifying what Lacan means by “agent” at each of these periods, and to show how each time he relies on this notion not to conceptualize it as such, but rather to build a dialogue with other psychoanalytic concepts. ResultantsBy following the evolution of the term, we arrive at a conceptualization of the agent as being equivalent to the status of the signifier as such. It is therefore important to distinguish the status of the agent from that of the subject and of the ego, which both seem to not manifest any real activity. The signifier, on the other hand, is that which allows the action to take place. This equivalence is thus implicit yet constant throughout the Lacanian teaching, first as a function in the Oedipal equation and then as an occupation in the theory of discourse. DiscussionOur hypothesis is that the notions of agent and agency are misused in today's psychoanalytic writings. This is due to an American culturalist influence on one hand, but mostly to a hasty interdisciplinarity, which attempts to link psychoanalysis with other disciplines without taking the necessary time to redefine the concepts at hand. Agency is the perfect example: it is defined by cognitive and social sciences and then reused as such by some analysts without redefining it, which leads to a theoretic confusion between the subject and the agent. ConclusionA thorough conceptualization of the agent within the field of psychoanalysis allows us to avoid theoretic confusions due to an interdisciplinarity that doesn’t take the time to redefine concepts. It is therefore important to establish a dialogue between psychoanalysis and other disciplines without it losing its particularities.

Surface penalization of self-interpenetration in linear and nonlinear elasticity

We analyze a term penalizing surface self-penetration, as a soft constraint for models of hyperelastic materials to approximate the Ciarlet-Nečas condition (almost everywhere global invertibility of deformations). For a linear elastic energy subject to an additional local invertibility constraint, we prove that the penalized elastic functionals converge to the original functional subject to the Ciarlet-Nečas condition. The approach also works for nonlinear models of non-simple materials including a suitable higher order term in the elastic energy, without artificial local constraints. Numerical experiments illustrate our results for a self-contact problem in 3d.

Symmetry resolved entanglement entropy in hyperbolic de Sitter space

In this paper, we study the relation between entanglement and global internal symmetries on de Sitter space. We consider two symmetric causally disconnected regions in the hyperbolic chart on de Sitter space. Since entanglement measures characterises correlations, the study of entanglement between the two causally disconnected regions gives information about the long range correlations in de Sitter space. When a theory possesses an additive global internal symmetry, the entanglement measures for a state with fixed global charge may be decomposed into local charge sectors in either subsystem and thus providing a finer resolution of entanglement. Here we will consider two theories: free complex scalar field, and free Dirac field on de Sitter space. Both theories possess global internal $U(1)$ symmetry. We study the symmetry resolved entanglement entropy for both theories in the Bunch-Davies vacuum state. We find that the symmetry resolved entanglement entropy has equipartition into local charge sectors upto the terms that scale as $V_{H_3}^0$ in the limit of large $V_{H_3}$, where $V_{H_3}$ is the volume of either region. This equipartition however is only broken by the terms of order $O(1/V_{H_3})$. Consequently, we have equipartition of symmetry resolved entanglement entropy in the limit of infinite volume.

Higher order lubrication model between slip walls

A higher order lubrication model between slip walls is proposed for predicting the flow fields that cannot be described by the standard lubrication models based on the thin-gap approximation. The analysis shows that when considering the non-negligible pressure gradient in the surface-normal direction, the local pressure can be separated into (i) the base contribution by the modified Reynolds lubrication equation and (ii) the higher order component varying in both longitudinal and wall-normal directions, which takes the form proportional to the longitudinal derivative of the local velocity of the Couette–Poiseuille flow. For both (i) and (ii), the effect of the slip boundaries appears as the apparent displacements of the no-slip solid walls, and for (i) additional terms (to the no-slip case) also appear. The validity of the higher order slip-wall lubrication model is established by comparing the analytical prediction of the pressure with the fully resolved numerical results in a relatively wide region between a no-slip corrugated wall and a flat plate with varying slip length: the contribution of the higher order term is identified as the decreased lubrication pressure due to velocity slip. The model also successfully predicts the trend of pressure change between the varying slip case and a more realistic system with constant slip length for a channel, where the thin-gap approximation does not hold.

Non-iterative phase tilt interferometry for the tilt shift calculation and phase extraction.

This study proposed a non-iterative phase tilt interferometry (NIPTI) for the tilt shift calculation and phase extraction, which can solve the random tilt-shift problem caused by external vibration. The method approximates the higher order terms of the phase to make it suitable for linear fitting. Then according to an estimated tilt, the accurate tilt shift can be obtained by least squares method without iteration, and the phase distribution can be calculated by it. The simulation results indicated that the root mean square error of the phase calculated by the NIPTI can reach up to 0.0002λ. The experimental results showed that the calculated phase exhibited no significant ripple when using the NIPTI for cavity measurements in a time-domain phase shift Fizeau interferometer. Moreover, the root mean square repeatability of the calculated phase reached up to 0.0006λ. It indicates that the NIPTI provides an efficient and high-precision solution for random tilt-shift interferometry under vibration.

Dynamic Matching: Characterizing and Achieving Constant Regret

We study how to optimally match agents in a dynamic matching market with heterogeneous match cardinalities and values. A network topology determines the feasible matches in the market. In general, a fundamental tradeoff exists between short-term value—which calls for performing matches frequently—and long-term value—which calls, sometimes, for delaying match decisions in order to perform better matches. We find that in networks that satisfy a general position condition, the tension between short- and long-term value is limited, and a simple periodic clearing policy (nearly) maximizes the total match value simultaneously at all times. Central to our results is the general position gap ϵ; a proxy for capacity slack in the market. With the exception of trivial cases, no policy can achieve an all-time regret that is smaller, in terms of order, than [Formula: see text]. We achieve this lower bound with a policy, which periodically resolves a natural matching integer linear program, provided that the delay between resolving periods is of the order of [Formula: see text]. Examples illustrate the necessity of some delay to alleviate the tension between short- and long-term value. This paper was accepted by David Simchi-Levi, revenue management and market analytics. Funding: This work was supported by the National Science Foundation [Grant CMM-2010940] and the U.S. Department of Defense [Grant STTR A18B-T007].

Positive solutions of the Gross–Pitaevskii equation for energy critical and supercritical nonlinearities

We consider positive and spatially decaying solutions to the following Gross–Pitaevskii equation with a harmonic potential: −Δu+|x|2u=ωu+|u|p−2uin Rd, where , p > 2 and ω > 0. For (energy-critical case) there exists a ground state u ω if and only if , where for d = 3 and for . We give a precise description on asymptotic behaviours of u ω as up to the leading order term for different values of . When (energy-supercritical case) there exists a singular solution for some . We compute the Morse index of in the class of radial functions and show that the Morse index of is infinite in the oscillatory case, is equal to 1 or 2 in the monotone case for p not large enough and is equal to 1 in the monotone case for p sufficiently large.

The sub-leading scattering waveform from amplitudes

We compute the next-to-leading order term in the scattering waveform of uncharged black holes in classical general relativity and of half-BPS black holes in mathcal{N} = 8 supergravity. We propose criteria, generalizing explicit calculations at next-to-leading order, for determining the terms in amplitudes that contribute to local observables. For general relativity, we construct the relevant classical integrand through generalized unitarity in two distinct ways, (1) in a heavy-particle effective theory and (2) in general relativity minimally-coupled to scalar fields. With a suitable prescription for the matter propagator in the former, we find agreement between the two methods, thus demonstrating the absence of interference of quantum and classically-singular contributions. The classical mathcal{N} = 8 integrand for massive scalar fields is constructed through dimensional reduction of the known five-point one-loop integrand. Our calculation exhibits novel features compared to conservative calculations and inclusive observables, such as the appearance of master integrals with intersecting matter lines and the appearance of a classical infrared divergence whose absence from classical observables requires a suitable definition of the retarded time.

Time duration and health care resource use during cancer diagnoses in the United States: A large claims database analysis.

BACKGROUND: Cancer diagnostic pathways are highly variable and not clearly established in the United States, which can lead to a diagnosis process that takes more time and exposes patients to invasive or unnecessary procedures, delays in treatment, worsening patient outcomes, and elevated health care resource utilization (HRU) and health care system costs. OBJECTIVE: To investigate current trends in time to diagnosis and diagnostic-related HRU preceding the patient's cancer diagnosis across all cancer types in the United States. METHODS: A retrospective claims analysis was conducted on patients newly diagnosed with cancer identified from 2018-2019 using Optum's de-identified Clinformatics Data Mart database, which includes Medicare Advantage and commercially insured members. Patients were identified using International Classification of Diseases, Tenth Revision codes and were required to have at least 2 outpatient visits at least 30 days apart or at least 1 inpatient cancer visit without prior cancer claims. The first diagnostic test was identified based on an algorithm of a 60-day gap between diagnostic tests prior to diagnosis. The index date was defined as the first diagnostic test date or an office visit less than 4 weeks prior to the first diagnostic test date. Patient characteristics, time to diagnosis, and HRU were descriptively analyzed for all patients and by cancer type. RESULTS: Among the 458,818 patients newly diagnosed with cancer included in this analysis, the mean age was 70.6 years, approximately half were female, and most were White people (65.0%) with Medicare Advantage coverage (74.0%). Patients with cancer had an overall mean (SD) time to diagnosis of 156.2 (164.9) days and 15.4% of patients waited longer than 180 days before a cancer diagnosis. High heterogeneity among cancer types was observed, with a mean time to diagnosis ranging from 121.6 days (bladder cancer) to 229.0 days (multiple myeloma). Imaging resource use during the diagnostic pathway was high for radiology (60.7%), computerized tomography (50.8%), magnetic resonance imaging (48.6%), and ultrasound (42.6%). A total of 69.3% of patients had endoscopy without biopsy, 36.5% had endoscopy with biopsy, 62.5% had other biopsies, and most patients did general urine and serum tests (91.3%) and nongenetic cancer-specific laboratory tests (84.3%). Resource use was highly varied by cancer type but tended to increase with a longer time to diagnosis. CONCLUSIONS: The proportion of patients experiencing a diagnostic process of longer than 180 days is clinically and economically meaningful. Diagnostic-related HRU was significant and highly variable, highlighting the inefficiencies in the cancer diagnostic process in the United States and the need for policies, guidelines, or medical interventions to streamline cancer diagnostic pathways to optimize patient outcomes and reduce health care system burden. DISCLOSURES: Dr Cong is an employee of Grail, LLC, which supported this study. Drs Gitlin and McGarvey are employees of BluePath Solutions, and Ms Shivaprakash was an employee of BluePath Solutions, which received financial support from Grail, LLC, for study-related research activities. This study was sponsored by Grail, LLC, a subsidiary of Illumina Inc. currently held separate from Illumina Inc. under the terms of the Interim Measures Order of the European Commission dated October 29, 2021. The sponsor had no role in the collection, management, and analysis of the data. The sponsor contributed to study design and data interpretation.

COVID-19, post-acute COVID-19 syndrome (PACS, "long COVID") and post-COVID-19 vaccination syndrome (PCVS, "post-COVIDvac-syndrome"): Similarities and differences.

Worldwide there have been over 760 million confirmed coronavirus disease 2019 (COVID-19) cases, and over 13 billion COVID-19 vaccine doses have been administered as of April 2023, according to the World Health Organization. An infection with severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) can lead to an acute disease, i.e. COVID-19, but also to a post-acute COVID-19 syndrome (PACS, "long COVID"). Currently, the side effects of COVID-19 vaccines are increasingly being noted and studied. Here, we summarise the currently available indications and discuss our conclusions that (i) these side effects have specific similarities and differences to acute COVID-19 and PACS, that (ii) a new term should be used to refer to these side effects (post-COVID-19 vaccination syndrome, PCVS, colloquially "post-COVIDvac-syndrome"), and that (iii) there is a need to distinguish between acute COVID-19 vaccination syndrome (ACVS) and post-acute COVID-19 vaccination syndrome (PACVS) - in analogy to acute COVID-19 and PACS ("long COVID"). Moreover, we address mixed forms of disease caused by natural SARS-CoV-2 infection and COVID-19 vaccination. We explain why it is important for medical diagnosis, care and research to use the new terms (PCVS, ACVS and PACVS) in order to avoid confusion and misinterpretation of the underlying causes of disease and to enable optimal medical therapy. We do not recommend to use the term "Post-Vac-Syndrome" as it is imprecise. The article also serves to address the current problem of "medical gaslighting" in relation to PACS and PCVS by raising awareness among the medical professionals and supplying appropriate terminology for disease.

Shadows of new physics on Dirac materials, analog GUPs and other amusements

We discuss here how, when higher-order effects in the parameter , related to the lattice spacing ℓ, are considered, pristine graphene, and other Dirac materials, can be used as tabletop systems where generalized commutation relations are naturally realized. Such generalized algebras of quantization, which lead to generalized versions of the Heisenberg uncertainty principle, are under intense scrutiny these days, as they could manifest a fundamental length scale of spacetime. Despite the efforts and the many intriguing results, there are no experimental signatures of any generalized uncertainty principle (GUP). Therefore, our results here, which tell how to use tabletop physical systems to test certain GUPs in analog experiments, should be of interest to practitioners of quantum gravity. We identify three different energy regimes that we call “layers”, where the physics is still of a Dirac type but within precisely described limits. The higher the energy, the more sensitive the Dirac system becomes to the effects of the lattice. Here such lattice plays the role of a discrete space where the Dirac quasi-particles live. With the goals just illustrated, we had to identify the mapping between the high-energy coordinates, X i , and the low-energy ones, x i , i.e., those measured in the lab. We then obtained three generalized Heisenberg algebras. For two of them we have the noticeable result that X i = x i , and for the third one we obtained an improvement with respect to an earlier work: the generalized coordinates expressed in terms of the standard phase space variables, X i (x, p), and higher order terms.

On the rate of convergence of an exponential scheme for the non-linear stochastic Schrödinger equation with finite-dimensional state space

We address the numerical solution of the finite-dimensional non-linear stochastic Schrödinger equation, which is a locally Lipschitz stochastic differential equation modeling, for instance, quantum measurement processes. We study the rate of weak convergence of an exponential scheme that reproduces the norm of the desired solution by projecting onto the unit sphere. This justifies the use of the Talay-Tubaro extrapolation procedure in the numerical simulation of open quantum systems. In particular, we prove that an Euler-Exponential scheme converges with weak-order one, and we obtain the leading order term of its weak error expansion with respect to the step-size. Then, applying the Talay-Tubaro extrapolation procedure to the Euler-Exponential scheme under consideration we get a second-order method for computing the mean values of smooth functions of the solution of the non-linear stochastic Schrödinger equation. We also prove that the exponential scheme under study has order of strong convergence 1/2, which gives theoretical support to the use of the multilevel Monte Carlo method in simulating open quantum systems. We present a numerical experiment with a quantized electromagnetic field in interaction with a reservoir that illustrates the good performance of the weak second-order method, and the multilevel Monte Carlo method.

Wilson loops in the abelian lattice Higgs model

We consider the lattice Higgs model on $\mathbb{Z}^4$, with structure group given by $ \mathbb{Z}_n $ for $ n \geq 2 $. We compute the expected value of the Wilson loop observable to leading order when the gauge coupling constant and hopping parameter are both sufficiently large. The leading order term is expressed in terms of a quantity arising from the related but much simpler $ \mathbb{Z}_n $ model, which reduces to the Ising model when $n=2$. As part of the proof, we construct a coupling between the lattice Higgs model and the $ \mathbb{Z}_n $ model.

Synergistic control of breath figures on Styrene-Butadiene-Styrene films by poly-2-ethyl-2-oxazoline capped CaCl2 loaded mesoporous silica particles

The addition of hydrophilic components (CaCl2, poly-2-ethyl-2-oxazoline (PEOX) or mesoporous silica particles (MSP)) into Styrene-Butadiene-Styrene (SBS)/chloroform solution was shown to affect the resulting breath figure patterns in terms of pore size, pore shape and order. Honeycomb-patterned porous SBS polymer films were prepared by adding 30 wt% PEOX capped, CaCl2 loaded mesoporous silica particles into SBS solution. The long-range order observed with a pore diameter of ∼3.6 µm in the breath figure pattern at RT and 50–70% RH was attributed to the synergistic contributions of each component. CaCl2 promotes the condensation of water vapor and the nucleation of many water droplets on the polymer solution. When localized in a uniformly swollen layer of PEOX around MSP, easier nucleation together with stabilization of water droplets by MSP and PEOX leads to hexagonally-ordered breath figures. The results demonstrate the addition of hydrophilic components as an easy tool to tune breath figure patterns at relatively low humidity and their synergistic contributions.

Neo-Islamophobia: A New Western Social Order

Traditionally, the term Islamophobia refers to prejudice, racism, and/or securitization which implies that this phenomenon operates at cognitive, cultural, or structural levels. The current researchers anticipate that the term now represents an Islamophobic social order in the West where hatred for Islam and everything related to it appears to be the collective behaviour of the society. This points to a new social reality that goes beyond the psychological problem, now referred to as Islamophobia. Therefore, the researchers have added the prefix "neo" to this term in order to account for Islamophobia's psychosocial nature which manifests itself in discourses and practices. The purpose of this research is to study Islamophobic discourses in the media of two Western societies in order to better understand the nature of Islamophobia in each: the United Kingdom (UK) and the United States (USA). It studies leading articles (that is, 446 in toto) from The Independent and The Washington Post between November 2016 and December 2017, using DHA's analytical framework. This study concludes that traditional "Islamophobia" dominates in the UK context, where Islam is perceived as a threat to Europe's symbolic identity and "Neo-Islamophobia" in the US context, where Islam is seen as a threat to the socio-political order. It also proposes a cyclical process of neo-Islamophobia, beginning with problematizing Islam, and progressing to “otherizing,” racializing, and finally securitizing Muslims. The researchers, however, recommend similar studies in other contexts too.