Identity Integration Research Articles

Renormalon subtraction in OPE by dual space approach: nonlinear sigma model and QCD

It is becoming more important to subtract renormalons efficiently from perturbative calculations, in order to achieve high precision QCD calculations. We propose a new framework “Dual Space Approach” for renormalon separation, which enables subtraction of multiple renormalons simultaneously. Using a dual transform which suppresses infrared renormalons, we derive a one-parameter integral representation of a general observable. We investigate systematically how renormalons emerge and get canceled in the entire operator product expansion (OPE) of an observable, by applying the expansion-by-regions (EBR) method to this one-parameter integral expression. In particular we investigate in detail OPEs in a solvable model, the 2-dimensional O(N) nonlinear σ model, by the dual space approach. A nontrivial mechanism of renormalon cancellation in this model can be understood from an integration identity on which the EBR method is founded. We demonstrate that the dual space approach can be useful by a simulation study imitating the QCD case. Application of this method to QCD calculations is also discussed.

Longitudinal Relations among Identity Distinctiveness, Continuity, and Integration among Dutch Adolescents.

Identity distinctiveness, continuity, and coherence are all components of adolescents' identity development, but their longitudinal relations have rarely been examined. Data were analyzed on these three constructs collected over three years from 349 Dutch adolescents (Mage = 14.7, SDage = 0.7, 215 [61.6%] girls and 133 [38.1%] boys). A cross-lagged panel model of the three constructs showed that stability was relatively high for distinctiveness and continuity, whereas coherence was less stable. Distinctiveness and continuity were correlated positively within time, but cross-lagged associations were mostly not significant: Only distinctiveness and coherence negatively predicted each other across waves. Results suggest that distinctiveness, continuity, and coherence may be interrelated, but may not drive the development of each other.

Mass, Capacitary Functions, and the Mass-to-Capacity Ratio

We study connections among the ADM mass, positive harmonic functions tending to zero at infinity, and the capacity of the boundary of asymptotically flat $3$-manifolds with nonnegative scalar curvature. First we give new formulae that detect the ADM mass via harmonic functions. Then we derive a family of monotone quantities and geometric inequalities if the underlying manifold has simple topology. As an immediate application, we observe several additional proofs of the $3$-dimensional Riemannian positive mass theorem. One proof leads to new, sufficient conditions that imply positivity of the mass via $C^0$-geometry of regions separating the boundary and $\infty$. A special case of such sufficient conditions shows, if a region enclosing the boundary has relative small volume, then the mass is positive. As further applications, we obtain integral identities for the mass-to-capacity ratio. We also promote the inequalities to become equality on spatial Schwarzschild manifolds outside rotationally symmetric spheres. Among other things, we show the mass-to-capacity ratio is always bounded below by one minus the square root of the normalized Willmore functional of the boundary. Prompted by our findings, we carry out a study of manifolds satisfying a constraint on the mass-to-capacity ratio. We point out such manifolds satisfy improved inequalities, their mass has an upper bound depending only on the boundary data, there are no closed minimal surfaces enclosing the boundary, and these manifolds include static extensions in the context of the Bartnik quasi-local mass.

Integrating entrepreneurial and spiritual identities under uncertainty

This empirical study begins to explore the complex connections between entrepreneurs, spirituality and uncertainty, grounded in the theoretical, even existential, relationships among these elements. Specifically, our contribution consists of a novel analysis and discussion of the interplay between entrepreneurial and spiritual personal identities in uncertain contexts. We consider three related research questions: Does spirituality moderate the relationship between entrepreneurship and comfort under decision uncertainty? Does it in terms of making specific economic choices under uncertainty? And, reciprocally, does entrepreneurship moderate the relationship between spirituality and dealing with uncertainty? Our analysis draws upon survey data of non-naïve respondents, including entrepreneurs. We find that two separate personal identities interact in very different and significant ways even within same context. We also find that identity integration ‘over feelings’ differ from those ‘over decisions’ in the same context, contributing to the affect-rationality debate in entrepreneurial cognition.

Lost or found in translation: multilingualism among Arab bibliotherapists in Israel

ABSTRACT This study examines the use of verbal (Arabic/Hebrew), cultural (collectivist/individual), and therapeutic languages (bibliotherapy/psychotherapy) among Israeli-Arab bibliotherapists. Semi-structured in-depth interviews were conducted among 10 therapists to ascertain how their multilingualism influences their dialogues among themselves, with their patients, as well as which literature they integrate into their work. Three main findings emerged: (1) Lingual choice to reflect proximity or distance from emotional issues in therapy, or from their own culture at supervision; (2) Literature selection based on their patient's needs and to reduce diglossia; and (3) A need to translate the professional glossary to Arabic, and to group with Israeli-Arab colleagues. In conclusion, the therapists created an integrative and hybrid identity moving between different languages in order to meet the needs of proximity or distance from themselves, their patients, and their culture. This study can help multicultural therapists better conceptualize their experiences, and consolidate their identities.

Decomposition of the wall-heat flux of compressible boundary layers

We use the method developed by Elnahhas and Johnson [“On the enhancement of boundary layer skin friction by turbulence: An angular momentum approach,” J. Fluid Mech. 940, A36 (2022)] and Xu et al. [“Decomposition of the skin-friction coefficient of compressible boundary layers,” Phys. Fluids 35, 035107 (2023)] for the decomposition of the skin-friction coefficient to integrate the mean temperature equation for high-Reynolds-number compressible boundary layers and arrive at an identity for the decomposition of the wall-heat flux. The physical interpretation of the identity and the limitations of this approach are discussed. We perform an integration on the mean temperature equation to obtain an identity that is the heat-transfer analog to the compressible von Kármán momentum integral equation for the skin-friction coefficient. This identity is applied to numerical data for laminar and turbulent compressible boundary layers, revealing that the mean-flow dissipation and production of turbulent kinetic energy given by the Favre–Reynolds stresses dominate the thermal-energy balance. The term related to the growth of the turbulent boundary layer opposes the wall cooling. Other identities for the wall-heat flux, inspired by the method of Fukagata et al. [“Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows,” Phys. Fluids 14(11), L73–L76 (2002)], are studied numerically and by asymptotic methods. The terms of these identities depend spuriously on the upper integration bound because this bound is a mathematical quantity used in the derivation. When the bound is asymptotically large, the integral identities simplify to the heat-transfer analog to the von Kármán momentum equation. We also prove that an existing multiple-integration identity reduces to the definition of the wall-heat flux when the number of integrations is asymptotically large. No information about the wall-heat transfer is extracted because the impact of the integration number is nonphysical.

‘This Country is Done’: Fair Housing Discourse in Suburban Westchester

This article examines attitudes toward property, government, access to housing, integration, and community identity as expressed in the discourse surrounding the struggle over fair housing in Westchester, New York surrounding the 2009 court-ordered settlement. Building on the ‘new suburban history’, this article argues that opposition to fair housing drew on long-term conservative trends in the national political culture after 1968, but also reflected the specific dynamics of the early Obama years. Fair housing opponents contend that housing ‘choices,’ rooted in the values of ‘hard work,’ meritocracy, private property, and the free market, exemplify the patriotic tradition of American individualism. But, in doing so, they ignore decades of state-sponsored housing discrimination that contradicted free market principles. Drawing heavily on what one scholar has called ‘race-based neighborhood stereotyping’, these ideas constitute an important starting point for understanding the crippling resistance to fair housing initiatives, since this discourse has proven remarkably durable and politically galvanizing.

Unpacking hybridity: Development and first validation of a multidimensional instrument to profile hybrid professionals

AbstractHybrid professionals, that is, professionals who have transitioned to managerial roles, have emerged in numerous public settings. Through in‐depth qualitative methodologies, the literature has shown a good degree of heterogeneity in the way hybrid professionals perceive and manage their hybridity. In this study, we aim to develop a theory‐based, multidimensional instrument able to capture such heterogeneity in a lean but sensitive way. In this instrument, we combine consolidated scales of identity centrality and integration and vignettes, on the one hand, to measure the perception of hybrid professionals of the relationship between their professional and managerial identities and, on the other hand, to elicit the practices they use to deal with the demands of the professional and managerial logics. We first validate the instrument on a sample of school principals in the Italian context and then describe the six profiles of hybrid professionals derived from the analysis. We suggest three avenues for applying such an instrument.

ASSESSMENT AND FORECASTING METHOD OF STATE STABILITY

In the article, the authors propose a method for assessing and forecasting the stability of the state. The relevance of the work is due to the complex military and political processes taking place in and around Ukraine, attempts at large-scale interference in internal affairs (including by military means), attempts to destroy Ukrainian statehood and make the country under total control, and the lack of a methodological apparatus that can be used to assess the state's ability to withstand external and internal threats and preserve its own identity and structural integrity. The authors analyze the content of the concept of "stability", offer their own interpretation of this term and identify the factors that significantly affect it. In accordance with these factors, the article presents a hierarchical system of indicators consisting of two main groups characterizing the ability of the state to withstand internal and external influences, and contains indicators that allow to assess the military capabilities of the country, the level of conflict potential, taking into account ethnic and religious problems, the state of its economy, social and political spheres, the ability of law enforcement agencies to counter internal threats, energy security and the level of corruption. Subject of research. Assessment and forecasting of state stability. Methodology. In order to obtain functions that explicitly describe the dependence of the state's stability on lower-level indicators, the proposed approach involves the use of the theory of experimental design to form a training sample for each of the groups of indicators, followed by its processing using the method of group consideration of arguments. This approach is demanding on the level of competence of experts, but it allows obtaining dependencies that can be used to directly calculate the value of the state's stability indicators, which is of great importance in the preparation and decision-making on ensuring Ukraine's national security. The authors propose an integrated approach to forecasting the level of stability, which will make it possible to obtain both exploratory and normative forecasts, and this will increase the validity of decisions on ensuring the national and military security of the State. The purpose. The article outlines the main provisions of the method of assessing and forecasting the stability of the state, which allows obtaining a numerical assessment of stability and forecasting its development over time, taking into account a wide range of indicators covering both civilian and military spheres of the state, and also allows taking into account possible external influences (destructive or positive). Results. The article presents the system of indicators by which it is proposed to assess the stability of the state, the general procedure for calculations using the proposed method, and some results of a numerical experiment which confirmed the efficiency of the proposed approach, its sufficiently high accuracy and clarity of the results obtained. The calculations show that Ukraine's overall level of stability has declined significantly since 2014, but there is reason to believe that the state has managed to maintain it and even gradually improve it amid large-scale aggression.

Digital Identity in the Age of Cybersecurity: Challenges and Solutions

In today's digital age, cybersecurity risks have become paramount, making the protection of digital identities a critical priority. As our personal and professional lives increasingly intertwine with the online realm, safeguarding our virtual personas from emerging threats is essential. This research delves into the formidable challenges posed to digital identity management by the ever-evolving cybersecurity landscape, while proposing robust solutions to fortify identity integrity. Key challenges explored include the persistent risks of identity theft, data breaches, and the pervasive specter of privacy violations. The intricate web of regulations governing digital identities is examined, highlighting the complexities of ensuring compliance across jurisdictions. Furthermore, the disruptive potential of emerging technologies like deepfakes and synthetic identities is assessed, underscoring the urgency for proactive countermeasures..

New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization

AbstractThe Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality. This article presents conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in weighted and unweighted forms by using the idea of majorization and convexity together with generalized conformable fractional integral operators. They not only represent continuous and discrete inequalities in compact form but also produce generalized inequalities connecting various fractional operators such as Hadamard, Katugampola, Riemann-Liouville, conformable, and Rieman integrals into one single form. Also, two new integral identities have been investigated pertaining a differentiable function and three tuples. By using these identities and assuming∣f′∣| f^{\prime} |and∣f′∣q(q>1)| f^{\prime} {| }^{q}\hspace{0.33em}\left(q\gt 1)as convex, we deduce bounds concerning the discrepancy of the terms of the main inequalities.

Teachers’ identity work in their social-media-based relationship with parents: A Chinese study

ABSTRACT This article examines how teachers’ social-media based relationship with parents shapes the way they feel about themselves as a teacher. Based on 11 Chinese teachers’ experience of using WeChat (the dominant social media application in China) in their relationship with parents, the analysis shows that social media enable teachers to have prolonged and direct interaction with parents and have therefore become an important arena for their identity construction. Working with parents through social media has led to their sense of self as a teacher being continuously enhanced, enriched, or transformed. The findings suggest that three different modes of identity work, i.e., affirmation, integration and exploration, were performed by teachers in their social-media- based relationship with parents.

Some New Fractional Hadamard and Pachpatte-Type Inequalities with Applications via Generalized Preinvexity

The term convexity associated with the theory of inequality in the sense of fractional analysis has a broad range of different and remarkable applications in the domain of applied sciences. The prime objective of this article is to investigate some new variants of Hermite–Hadamard and Pachpatte-type integral inequalities involving the idea of the preinvex function in the frame of a fractional integral operator, namely the Caputo–Fabrizio fractional operator. By employing our approach, a new fractional integral identity that correlates with preinvex functions for first-order differentiable mappings is presented. Moreover, we derive some refinements of the Hermite–Hadamard-type inequality for mappings, whose first-order derivatives are generalized preinvex functions in the Caputo–Fabrizio fractional sense. From an application viewpoint, to represent the usability of the concerning results, we presented several inequalities by using special means of real numbers. Integral inequalities in association with convexity in the frame of fractional calculus have a strong relationship with symmetry. Our investigation provides a better image of convex analysis in the frame of fractional calculus.

The effect of personal, social, and collective identity on mental well-being in university students

Identity is a process in which self-perception is formed through the groups and culture of which individuals are members, as well as their internal inquiries about who they are. In this respect, personal, social and collective identity types draw attention in the literature. It is known that the achievement of individuals in identity integrity increases well-being. In this context, it was aimed to investigate the effects of personal, social and collective identity on mental well-being in this study. This study was carried out in accordance with the correlational pattern, one of the quantitative research designs. The research group of the study consisted of 341 (254 female, 87 male) university students between the ages of 18-30 (mean = 20.93). Personal Information Form, Identity Questionnaire and Warwick-Edinburgh Mental Well-Being Scale Short Form were used as data collection tools in the study. According to correlation analysis, there was a positive relationship between mental well-being and personal identity, social identity, and collective identity. According to structural equation model analysis, it was found that personal identity and collective identity positively and significantly predict mental well-being, but the effect of social identity on mental well-being was not significant. The results are discussed in the context of identity and well-being literature.

To Be in Harmony: Chinese American Adolescents' and Parents' Bicultural Integration During the COVID-19 Pandemic.

Experiences of racial discrimination have been found to be associated with internalizing problems among ethnic-racial minority youth. However, mediating and moderating processes that might explain this association is less well understood. Thus, the present study aimed to examine whether Chinese American adolescents' bicultural identity integration harmony (BII-Harmony) mediated the association between their experiences of racial discrimination and internalizing behaviors. Furthermore, we examined the moderating role of their parents' BII-Harmony in this mediation model. Chinese American adolescents (Mage = 13.9 years; SD = 2.3; 48% female) reported their experiences of racial discrimination and BII-Harmony, and their parents (Mage = 46.2 years; SD = 5.2; 81% mothers) reported their BII-Harmony and their children's internalizing difficulties. Chinese American adolescents' racial discrimination experiences were negatively associated with BII-Harmony, and in turn, more internalizing problems, but only when their parents also reported low and mean levels of BII-Harmony.

Elaboration of NTRK-rearranged colorectal cancer: Integration of immunoreactivity pattern, cytogenetic identity, and rearrangement variant

Fused information from protein status, DNA breakage, and transcripts are still limited because of the low rate of activated-NTRK in colorectal cancer (CRC). In total, 104 archived CRC tissue samples with dMMR were analyzed using immunohistochemistry (IHC), polymerase chain reaction (PCR), and pyrosequencing to mine the NTRK-enriched CRC group, and then subjected to NTRK fusion detection using pan-tyrosine kinase IHC, fluorescence in situ hybridization (FISH), and DNA-/RNA-based next generation sequencing (NGS) assays. Of the 15 NTRK-enriched CRCs, eight NTRK fusions (53.3%, 8/15), including two TPM3(e7)-NTRK1(e10), one TPM3(e5)-NTRK1(e11), one LMNA(e10)-NTRK1(e10), two EML4(e2)-NTRK3(e14), and two ETV6(e5)-NTRK3(e15) fusions, were identified. There was no immunoreactivity for ETV6-NTRK3 fusion. In addition to cytoplasmic staining found in six specimens, membrane positive (TPM3-NTRK1 fusion) and nuclear positive (LMNA-NTRK1 fusion) were also observed in two of them. Atypical FISH-positive types were observed in four cases. Unlike IHC, NTRK-rearranged tumors appeared homogeneous on FISH. ETV6-NTRK3 may be missed in pan-TRK IHC screening for CRC. Regarding break-apart FISH, NTRK detection is difficult because of the diversity of signal patterns. Further research is warranted to identify the characteristics of NTRK-fusion CRCs.

Born This Way: Integrating LGBTQIA+ Identities as Pharmacy Practitioners

Progression through the profession of pharmacy is filled with many milestones that can contribute to feelings of stress, rejection, and isolation. For Lesbian, Gay, Bisexual, Transgender, Queer, Intersex, and Asexual+(LGBTQIA+) students and practitioners, these feelings can be compounded by similar issues experienced by their sexual orientation or gender identity. Historically, LGBTQIA+ students, new practitioners, and seasoned professionals alike have lacked visible role models for how to intersect personal and professional identity in the pharmacy profession. In this paper, the authors describe experiences of intersecting personal queer identities with professional pharmacy identities; exploring barriers to integration and developing solutions to overcome these barriers. The authors also share how the formation of a collective of LGBTQIA+ practitioners and educators has led to a unified voice to advocate for the advancement of LGBTQIA+ healthcare in pharmacy education and practice. This manuscript will provide readers with a guide to navigate and address issues with the integration of personal and professional identity to lead to practice that validates personal identity as important, valuable, and affirmed.

First-order numerical method for the singularly perturbed nonlinear Fredholm integro-differential equation with integral boundary condition

In this work, we consider first-order singularly perturbed quasilinear Fredholm integro-differential equation with integral boundary condition. Building a numerical strategy with uniform ε-parameter convergence is our goal. With the use of exponential basis functions, quadrature interpolation rules and the method of integral identities, a fitted difference scheme is constructed and examined. The weight and remainder term are both expressed in integral form. It is shown that the method exhibits uniform first-order convergence of the perturbation parameter. Error estimates for the approximation solution are established and a numerical example is given to validate the theoretical findings.

Pronunciation in EMI

The consolidation of English as a global language has brought with it the need to reconceptualise aspects such as English pronunciation, which seems to be experiencing a detachment from the native norm and the integration of multicultural identities. EMI students have been reported to favour intelligibility over accurate pronunciation, as they represent a community of learners for whom English is a tool rather than a target. As previous research has reported that pronunciation may be an anxiety factor for students in speaking exchanges, this study explored how 126 EMI students envision the learning of pronunciation, their attitudes towards EMI teachers’ pronunciation and their pronunciation anxiety upon interaction with different interlocutors in their EMI context: teachers, local peers, L1 English international peers and L2 English international peers. The data from a questionnaire and focus groups revealed that these EMI learners conceptualize pronunciation as a communication tool rather than a subject to be learnt; they revealed that they do not experience uneasiness during lessons owing to their lecturers’ pronunciation, expressing that fluency is more important than pronunciation accuracy. Finally, they showed more pronunciation anxiety if the interlocutor was the teacher or an L1 English speaker than if it was a local peer or L2 English speaker.

TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder

The problem of diffraction of a TE-polarized electromagnetic wave by a circular slotted cylinder is investigated. The boundary value problem in question for the Helmholtz equation is reduced to an infinite system of linear algebraic equations of the second kind (SLAE-II) using integral summation identities (ISI). A detailed study of the matrix operator of the problem is performed and its Fredholm property in the weighted Hilbert space of infinite sequences is proven. The convergence of the truncation method constructed in the paper for the numerical solution of SLAE-II is justified and the results of computations are presented and discussed, specifically considering the determination of resonance modes.