Scaling Dimensions Research Articles

Dispersion relation from Lorentzian inversion in 1d CFT

Starting from the Lorentzian inversion formula, we derive a dispersion relation which computes a four-point function in 1d CFTs as an integral over its double discontinuity. The crossing symmetric kernel of the integral is given explicitly for the case of identical operators with integer or half-integer scaling dimension. This derivation complements the one that uses analytic functionals. We use the dispersion relation to evaluate holographic correlators defined on the half-BPS Wilson line of planar N\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{N} $$\\end{document} = 4 super Yang-Mills, reproducing results up to fourth order in an expansion at large t’Hooft coupling.

Analysis of the current status and influencing factors of nurses’ patient safety competence: a potential profile analysis

ObjectiveThe study aimed to understand the current situation of hospital nurses’ patient safety competence, identify potential categories, and analyze the distribution characteristics of demographic variables in each subgroup.MethodsA total of 1,996 nursing staff were selected to be included in this research using a convenience sampling method. A questionnaire survey was conducted using the Chinese version of the Patient Safety Ability Scale, and three dimensions of the Patient Safety Ability Rating Scale were used as explicit variables for potential profile analysis. The influencing factors of different potential profiles of nurses’ patient safety ability were analyzed using logistic regression analysis.ResultsThe safety ability of the 1,996 nurses could be categorized into three potential groups as follows: “ability risk group” (14.3%), “medium ability group” (32.9%), and “ability advantage group” (52.7%), with monthly income, participation in department training, self-learning, and love of nursing as the influencing factors.ConclusionThe overall patient safety ability of nurses is at an upper-middle level. The classification of nurses can be predicted by factors, such as monthly income, participation in department training, self-directed learning, and love of nursing. Nursing managers can formulate targeted interventions according to the influencing factors of potential profiles to improve nurses’ patient safety ability.

Artificial intelligence literacy among university students—a comparative transnational survey

Artificial intelligence (AI) literacy is a crucial aspect of media and information literacy (MIL), regarded not only as a human right but also as a fundamental requirement for societal advancement and stability. This study aimed to provide a comprehensive, cross-border perspective on AI literacy levels by surveying 1,800 university students from four Asian and African nations. The findings revealed significant disparities in AI literacy levels based on nationality, scientific specialization, and academic degrees, while age and gender did not show notable impacts. Malaysian participants scored significantly higher on the AI literacy scale than individuals from other countries. The results indicated that various demographic and academic factors influenced respondents’ perceptions of AI and their inclination to utilize it. Nationality and academic degree were identified as the most influential factors, followed by scientific specialization, with age and gender exerting a lesser influence. The study highlights the necessity of focusing research efforts on the detailed dimensions of the AI literacy scale and examining the effects of previously untested intervening variables. Additionally, it advocates for assessing AI literacy levels across different societal segments and developing the appropriate measurements.

Adherence to antiretroviral therapy among HIV patients at a hospital in Tacna, Peru

ObjectiveThis study aims to provide an overview of antiretroviral therapy adherence and its related factors within a hospital in southern Peru. Materials and methodsWe conducted an analytical cross-sectional study spanning from April to October 2022. This study involved a review of medical records and the administration of a survey to individuals living with Human Immunodeficiency Virus. Adherence to antiretroviral treatment was assessed using the CEAT-HIV (Questionnaire for the Evaluation of Antiretroviral Treatment Adherence), and was categorized as high, adequate, insufficient, or low. The statistical analysis included the calculation of crude and adjusted prevalence ratios (PRs). ResultsOur study comprised 300 participants, with a median age of 30 years, predominantly male (78.3 %). Among these individuals, 83 % exhibited low or insufficient adherence to antiretroviral treatment according to the CEAT-VIH scale. Notably, patients with a viral load >50,000 copies/ml scored higher on the CEAT-VIH scale than those with a viral load <400 (adjusted PR: 2.78, 95 % CI: 1.21 to 6.40). Furthermore, a higher level of education and a viral load below 400 copies/ml were associated to higher scores in the treatment compliance dimension of the CEAT-VIH scale. ConclusionEight out of ten evaluated patients exhibited low or insufficient adherence. While lower adherence was correlated with lower education, the connection between viral load and adherence remains inconclusive.

Multi-scale sensing and multi-dimensional feature enhancement for surface defect detection of hot-rolled steel strip

ABSTRACT Surface defect detection of hot-rolled steel strip is a crucial process in its production. Aiming at the problem of poor detection accuracy caused by complex shape of defect features and imbalance between object scale and feature scale, this paper proposes a multi-scale sensing and multi-dimensional feature enhancement algorithm. Firstly, a multi-branch residual aggregation module (MRAM) is proposed, which uses the interactive features of different receptive fields between layers to capture global and local texture features, improving the feature extraction capability for defects of different scales. Then, the multi-dimensional attention enhancement head (MAEH) is proposed, which integrates feature information from different prediction branches and realises feature information enhancement in scale, space and channel dimensions for the aggregated information to improve the accuracy and robustness of steel surface defect detection. The results show that the proposed algorithm achieves 82.7% mAP and 89 FPS on the NEU-DET dataset, and 73.3% mAP and 94 FPS on the GC10-DET dataset. Compared with state-of-the-art algorithms, the proposed algorithm has the highest mAP, strong generalisation ability, and good real-time performance, which proves its effectiveness in detecting hot-rolled steel strip surface defects.

Contributions to a Theoretical Framework for Evaluating the Supply–Demand Matching of Medical Care Facilities in Mega-Cities: Incorporating Location, Scale, and Quality Factors

The rapid urbanization and population growth in mega-cities have led to a significant increase in the demand for medical services, highlighting the critical need for a more efficient alignment between the supply and demand of medical resources. Previous research often focuses on singular factors, such as accessibility or quantity, as the primary criteria for matching medical services, without comprehensively considering the location, scale, and quality factors of medical facilities. Addressing this gap, this study develops a theoretical framework that integrates these three critical factors to assess the supply–demand matching (SDM) of medical care facilities (MCFs) with population needs. This assessment is conducted using geospatial analysis techniques with ArcGIS and Python. The study includes an empirical analysis of 134 streets within the Chongqing municipality. The empirical results reveal significant disparities in the performance of integrated medical care facilities (MCFs), as well as variations across the dimensions of location, scale, and quality. Central districts like Yuzhong demonstrate high levels of accessibility, appropriate scale matching, and satisfactory service quality, whereas rapidly urbanizing peripheral districts such as Yubei suffer from significant mismatches in resource availability and service quality. The theoretical framework contributes to the field of medical care research, and the corresponding empirical findings provide valuable insights for urban planners and policymakers to optimize the allocation of medical resources, improve healthcare accessibility, and enhance service quality across different urban areas.

A Network Structure of Mental Health and Problematic Mobile Phone Use Among Middle School Students.

Numerous studies have shown that the mental health of middle school students is closely related to problematic mobile phone use. The purpose of this study is to investigate the network structure between the dimensions of the Middle School Students Mental Health Scale and the items of the Self-Rating Questionnaire for Adolescent Problematic Mobile Phone Use by using the network analysis, to clarify the core symptoms and bridge symptoms of the network structure, and to provide ideas and methods for intervening in the mental health and problematic mobile phone use of middle school students. A stratified cluster sampling method was used to select 1637 students from four general middle schools in Xiamen in June 2020 for the survey, and the Middle School Students Mental Health Scale (MSSMHS-60) and the Self-Rating Questionnaire for Adolescent Problematic Mobile Phone Use (SQAPMPU) were used. SPSS28.0 was used for descriptive statistical analysis and R (version 4.2.1) for network analysis. 1. The core symptoms of the network of middle school students' mental health and problematic mobile phone use were "spending more time playing with the phone in order to be satisfied", anxiety, and depression; 2. The bridge symptoms of the network of middle school students' mental health and problematic mobile phone use were academic stress, psychological disequilibrium, and "depression without phone". Reducing the time of smartphone use and relieving anxiety and depression can improve the mental health of middle school students and reduce the incidence of problematic mobile phone use; helping middle school students adjust their study pressure and improving their social support level can reduce the severity of problematic mobile phone use.

Luminescence, temperature sensing and Judd-Ofelt analysis of Bi2Mo3O12:Eu3+ phosphors and the application in latent fingerprint visualization

Eu3+-activated materials have garnered significant attention due to their outstanding optical characteristics. In this work, the sol–gel method was successfully used to prepare Bi2Mo3O12 phosphors doped with different amounts of Eu3+. The generated samples were identified as orthorhombic Bi2Mo3O12 with a scheelite-like structure by X-ray diffraction analysis of the crystal structure. The sample’s morphology and size were examined using scanning electron microscopy and transmmission electron microscopy, which revealed irregular block morphology and tens to hundreds nanometers scale dimension. From the analysis of the concentration-dependent luminescence intensity of Eu3+, it was confirmed that the exchange interaction was responsible for the quenching of 5D0 fluorescence of Eu3+. When excited at 374 nm, the phosphor emitted brilliant red light, with the highest emission occurring at 616 nm (5D0→7F2 transition), and the calculated color coordinates of the sample were (0.663, 0.336). By examining the temperature dependence of the emission spectra, the temperature sensing performance of the sample and the thermal quenching behavior of Eu3+ luminescence was explored. Furthermore, the optical transition property of Eu3+ was investigated by using the emission spectra and fluorescence lifetime within the context of Judd-Ofelt theory. Ultimately, latent fingerprint visualization of the sample on various object surfaces was studied, thanks to the intense luminescence and small particle size of the Bi2Mo3O12:Eu3+ phosphor. The results indicated that the sample can clearly display the different hierarchical features of fingerprint on different object surfaces.

Analysis of the Current Situation and Influencing Factors of Psychological Well-Being of Elderly People in the Community

Objective: To investigate the current psychological well-being of older people in the community and analyze its influencing factors. Methods: A total of 265 community-dwelling older adults aged 60 and above in Baoding City, Hebei Province, were selected through convenience sampling from November 2023 to March 2024. They were surveyed using a general information questionnaire and a comprehensive well-being questionnaire, with results analyzed statistically using SPSS 27.0. Results: Six dimensions of the psychological well-being scale for community older adults were identified: life vitality (P50 = 4.83), health concern (P50 = 4.6), self-worth (P50 = 5.6), friendly relationships (P50 = 5.33), altruistic behavior (P50 = 5.2), personality growth (P50 = 4.67), and comprehensive well-being (P50 = 161). Multivariate regression analysis showed that social isolation (β = -0.021, P &lt; 0.001), type of work (β = -0.142, P &lt; 0.001), chronic disease history (β = 0.004, P &lt; 0.001), need for mobility aid (β = 0.192, P &lt; 0.001), and monthly income (β = 0.381, P &lt; 0.001) were factors influencing psychological well-being. Conclusion: The psychological well-being of the elderly is slightly above moderate and requires improvement. Enhancing factors such as reducing social isolation, addressing chronic disease history, and improving financial support could improve psychological well-being in older adults.

Moduli spaces in CFT: large charge operators

Using the large-charge expansion, we prove a necessary condition for a CFT to exhibit conformal symmetry breaking, under the assumption that a continuous global symmetry is also broken on the moduli space: there must be a tower of charged local operators whose scaling dimensions are asymptotically linear in the charge. In supersymmetric theories with a continuous R-symmetry and a holomorphic moduli space, the existence of such a tower of operators follows trivially from a BPS condition: their scaling dimensions are then exactly linear in the R-charge. We illustrate the more general statement in several examples of three-dimensional N\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{N} $$\\end{document} = 1 CFTs, where the leading linear behavior receives nontrivial corrections. By considering a suitable scaling limit, we also relate the spectrum of states with large charge on the cylinder (isomorphic to local operators) to the spectrum of massive particles on the moduli space.

Effect of scale factor on the dynamic response of frame foundations

Abstract In geotechnical engineering, a scale factor “n” is a numerical ratio that relates the physical properties of a physical model to those of a prototype. The effect of scale factor on the dynamic response of a frame foundation used for high-speed turbo machines is examined through numerical analyses to clarify the influence of scaling dimensions, frequency, static and dynamic loads, and scaled models’ material on the dynamic responses of the frame foundation. The static and dynamic analyses were conducted using Ansys Workbench software. The total number of analyses used to investigate the scale factor effect was 28. Both modal and harmonic analyses were performed to calculate the natural frequencies and displacement responses of the scaled and prototype models under the scaled dynamic loading. Five scale factors were used in this study for concrete models (1, 20, 25, 32, and 40), and two additional analyses on steel models of scale (1 and 20) were used to study the material scaling. The prototype results were first verified, and then the models were investigated after scaling the dynamic loads and dimensions. The results of this study revealed the importance of scaling the frequency when studying the high-speed turbo machine foundation models to reflect the correct responses of the prototype foundation.

WOMAC, Kujala Score, and Knee Injury and Osteoarthritis Outcome Score for Quality of Life Thresholds for Predicting Increased and Decreased Likelihood of Failure to Improve Quality of Life After Total Knee Replacement.

Background Improvement in quality of life is the primary goal following total knee arthroplasty (TKA). Patient-reported outcome measures (PROMs) have become the standard for evaluating TKA results, capturing the patient's perspective. However, PROMs face challenges such as inconsistent presurgery data collection and ambiguity in determining clinical significance. Establishing reliable thresholds for success and failure is crucial for comparing outcomes. Purpose To determine cutoff values for the Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC), Kujala score, and Knee Injury and Osteoarthritis Outcome Score for Quality of Life (KOOS-QL) that significantly change the likelihood of success (TIS) or failure (TIF) to improve self-reported quality of life one year after TKA compared to the baseline probability of the studied cohort. Methods A retrospective study was conducted to evaluate PROMs following conventional cruciate-retaining (CR) TKA without patellar replacement. Patients were evaluated during 2022 and 2023, with a minimum one-year follow-up. A total of 161 successful evaluations were identified, representing 81% of all CR TKA procedures without patellar replacement performed between January 2018 and June 2022 at a single university hospital. Assessments included the three dimensions of the WOMAC scale (pain, stiffness, and function), Kujala score, and KOOS-QL. The primary outcome was to determine the threshold value of each PROM that significantly reduced or increased the likelihood of "same or worse" self-perceived improvement in quality of life compared to the cohort. Logistic regression with 200 iterations was used for statistical analysis. Results The threshold for improvement success was <4 for WOMAC-Pain, <1 for WOMAC-Stiffness, <15 for WOMAC-Function, >70 for Kujala, and >62 for KOOS-QL. Meanwhile, the threshold for increased failure was >7 for WOMAC-Pain, >3 for WOMAC-Stiffness, >26 for WOMAC-Function, <55 for Kujala, and <41 for KOOS-QL. Conclusions The study successfully established significant thresholds for success and failure in improving quality of life following CR TKA without patellar replacement. The identified thresholds for WOMAC-Pain, WOMAC-Function, and Kujala scores have good-excellent discrimination and can be confidently used to estimate sample sizes and compare quality of life improvements post-TKA.

Bounding irrelevant operators in the 3d Gross-Neveu-Yukawa CFTs

We perform a numerical bootstrap study of scalar operators in the critical 3d Gross-Neveu-Yukawa models, a family of conformal field theories containing N Majorana fermions in the fundamental representation of an O(N) global symmetry. We compute rigorous bounds on the scaling dimensions of the next-to-lowest parity-even and parity-odd singlet scalars at N = 2, 4, and 8. All of these dimensions have lower bounds greater than 3, implying that there are only two relevant singlet scalars and placing constraints on the RG flow structure of these theories.

Collective free improvisation in the Flemish general music classroom: Probing student’s lived experience through flow

The aim of this study is to explore the lived experience of students ( N = 1,282) in general education engaging in collective free improvisation (CFI). Fourteen music teachers implemented a CFI lesson in 69 classes in Flanders (Belgium). Lived experience was measured using a Dutch version of the Flow State Scale for Occupational Tasks. This scale reflects the degree of Sense of Control, Positive Emotional Experience and Absorption by Concentrating. In addition, teachers’ reflections were mapped by means of an online survey. Overall scores on the 3 dimensions of the Flow scale averaged greater than or equal to 5 (7-point Likert scale). Results show a difference in total flow between students who already played an instrument and those who did not. Students who play an instrument score significantly higher on the factor ‘Sense of Control’. Conversely, the flow scores on the factors ‘Absorption by Concentration’ and ‘Positive Emotional Experience’ do not differ between instrumentalists and non-instrumentalists. Given the relatively high flow scores, we conclude that this type of musical engagement can be used for instrumentalists as well as non-instrumentalists. Although CFI was a new experience for the teachers, they indicated to continue using it in the future.

Investigating μ±μ−→μ±μ− collisions under the effect of scalar and vector unparticles in Randall–Sundrum model

A theoretical attempt is made to present the unparticles contribution to the muon processes [Formula: see text], in Standard Model (SM), Randall–Sundrum (RS) model and RS model with unparticles (RS([Formula: see text])) including scalar and vector unparticles. We evaluated the cross-sections versus the scattering angle [Formula: see text], the kinetic energy [Formula: see text] of the outgoing muon beams, the collision energy [Formula: see text], the scaling dimension [Formula: see text] and the energy scale [Formula: see text]. The numerical results show that the cross-sections of two processes in RS([Formula: see text]) are much larger than in SM. The [Formula: see text] and [Formula: see text] beams can be accelerated and collided, producing the outgoing [Formula: see text] and [Formula: see text] beams as final states with large kinetic energy to probe new physics effects. The total cross-sections depend strongly on the polarization conditions of incoming muon and anti-muon beams, the scaling dimension [Formula: see text] and the energy scale [Formula: see text]. The final states of the muon collisions also depend on [Formula: see text] of colliders and unparticles parameter: ([Formula: see text], [Formula: see text]) if unparticle physics included. The results subsequently lead to the unparticle contribution as propagator significantly larger than SM and Higgs–radion propagator. Hence, it would be worthwhile probing at the future colliders when the muons become the accelerating candidates in the collisions we restricted.

Holographic Analysis of Boundary Correlation Functions for the Hyperbolic-Lattice Ising Model

Abstract We analyze boundary spin correlation functions of the hyperbolic-lattice Ising model from the holographic point of view. Using the corner-transfer-matrix renormalization-group (CTMRG) method, we demonstrate that the boundary correlation function exhibits power-law decay with quasiperiodic oscillation, while the bulk correlation function always decays exponentially. On the basis of the geometric relation between the bulk correlation path and distance along the outer edge boundary, we find that scaling dimensions for the boundary correlation function can be well explained by a combination of the bulk correlation length and background curvatures inherent to the hyperbolic lattice. We also investigate the cutoff effect of the bond dimension in CTMRG, revealing that the long-distance behavior of the boundary spin correlation is accurately described even with a small bond dimension. In contrast, the short-distance behavior rapidly loses its accuracy.

Exploring the relationship between preferred routes for walking exercise and green space layout in a dense urban area: a series of poisson regression models

ABSTRACT The literature considers urban green spaces as a key to promoting physical activity and health. Despite the increasingly recognized walking exercise promotion benefits of urban green spaces, the relationship between walking exercise preferences and green space layout remains unclear. We extracted preferred routes for walking exercise and measured the route heat using a one-year shared data of walking exercise from a mobile outdoor assistant app in the old city of Fuzhou, China. We then evaluated green space layout features within a 500-m buffer zone along the preferred routes in dimensions of scale, form, and function. The relationship between the route heat and green space layout features was analyzed using a series of poisson regression models, with the influence of urban morphology and the built environment allocation being controlled. Results showed that there existed a significant association between preferred routes for walking exercise and the combination of green space layout, urban morphology, and the built environment allocation; the route heat had positive associations with NDVI and comprehensive park area density, and showed negative associations with patch shape index and patch density. This study illustrates the necessity for targeted intervention strategies to promote the development of walkable and healthy urban areas.

Accelerating social initiatives: an exploratory study on scaling in the social sector

ABSTRACT This exploratory study aims to provide an initial understanding of the role of accelerators in the public sector. Our findings on potential accelerators in the Dutch social sector show that they differ from those in the private sector. They also take temporary organizational forms, rarely select social initiatives through open calls, and support experts rather than initiators. Their contribution is difficult to measure. Their potential role in the ecosystem of social initiatives includes coordinating the scaling and focusing on effectiveness, but their role needs further development. Our findings indicate that scaling beyond should be considered as separate dimension of scaling.

The Relationship between video game addiction and bladder/bowel dysfunction in children

Video games have a strong influence on children and adolescents. Video game addiction has negative effects on children's health. To determine the relationship between video game addiction and bladder/bowel dysfunction in children. Three hundred sixty-three children and their mothers who met the inclusion criteria constituted the sample of this correlational study. The data were collected using a descriptive information form, the Video Game Addiction Scale for Children, and the Childhood Bladder and Bowel Dysfunction Questionnaire. We found that 72.5% of the children were nine years old and 27.5% were ten years old; 50.4% were males and 49.6% were female. While 4.7% of the children who participated in the study were underweight, 19.6% were overweight, and 17.9% were obese. The mean Video Game Addiction Scale for Children score was 50.77 ± 16.17, whereas the mean Childhood Bladder and Bowel Dysfunction Questionnaire score was 29.98 ± 8.90. The ratio of children with a mean Video Game Addiction Scale for Children scores equal to or greater than 90 was 0.8% (n = 3). We found that 3.6% (n = 13) of the children had urinary/fecal incontinence while playing video games. There was a weak positive relationship between the dimensions of the Video Game Addiction Scale for Children scores, the Childhood Bladder and Bowel Dysfunction Questionnaire scores, and children's bladder and bowel function (r = 0.220; p ˂ 0.05). There is a correlation between children's video game addiction level and their bladder and bowel dysfunction grade. Higher video game addiction levels correspond to higher bladder and bowel dysfunction.

Scale dimensions in public participation GIS: an overview for planning and research

Questions of spatial scale infiltrate Public Participation GIS (PPGIS) in multiple phases of the data collection from the design of a PPGIS survey to the use of the produced spatial knowledge. This paper provides an overview on how spatial scale and scale effects influence the use of PPGIS tools and the validity and usability of the spatial data they produce. The paper approached scale from two complimentary perspectives: as a concept in human geography and as an attribute of cartographic representation in geographic information science. This discussion is organized around three main viewpoints on scale and PPGIS, namely (1) scale in data collection denoting the geographic extent of the study area and the study population, (2) scale in survey design manifested in technical issues, cartographic representation, usability, and design of the mapping activities, and (3) scale and scale effects in the analysis of PPGIS data and the production of spatial knowledge. Together, these views on scale outline the main scale-related issues to consider when planning a PPGIS survey or working with secondary PPGIS data.