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27 pages, 3999 KB  
Article
Spatiotemporal Analysis of Urban Perception Using Multi-Year Street View Images and Deep Learning
by Wen Zhong, Lei Wang, Xin Han and Zhe Gao
ISPRS Int. J. Geo-Inf. 2025, 14(10), 390; https://doi.org/10.3390/ijgi14100390 - 8 Oct 2025
Abstract
Spatial perception is essential for understanding residents’ subjective experiences and well-being. However, effective methods for tracking changes in spatial perception over time and space remain limited. This study proposes a novel approach that leverages historical street view imagery to monitor the evolution of [...] Read more.
Spatial perception is essential for understanding residents’ subjective experiences and well-being. However, effective methods for tracking changes in spatial perception over time and space remain limited. This study proposes a novel approach that leverages historical street view imagery to monitor the evolution of urban spatial perception. Using the central urban area of Shanghai as a case study, we applied machine learning techniques to analyze 67,252 street view images from 2013 and 2019, aiming to quantify the spatiotemporal dynamics of urban perception. The results reveal the following: temporally, the average perception scores in 2019 increased by 4.85% compared to 2013; spatially, for every 1.5 km increase in distance from the city center, perception scores increased by an average of 0.0241; among all sampling points, 65.79% experienced an increase in perception, while 34.21% showed a decrease; and in terms of visual elements, natural features such as trees, vegetation, and roads were positively correlated with perception scores, whereas artificial elements like buildings, the sky, sidewalks, walls, and fences were negatively correlated. The analytical framework developed in this study offers a scalable method for measuring and interpreting changes in urban perception and can be extended to other cities. The findings provide valuable time-sensitive insights for urban planners and policymakers, supporting the development of more livable, efficient, and equitable urban environments. Full article
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59 pages, 2566 KB  
Review
Non-Perturbative Approaches to Linear and Nonlinear Responses of Atoms, Molecules, and Molecular Aggregates: A Theoretical Approach to Molecular Quantum Information and Quantum Biology
by Satoru Yamada, Takao Kobayashi, Masahiro Takahata, Hiroya Nitta, Hiroshi Isobe, Takashi Kawakami, Shusuke Yamanaka, Mitsutaka Okumura and Kizashi Yamaguchi
Chemistry 2025, 7(5), 164; https://doi.org/10.3390/chemistry7050164 - 7 Oct 2025
Abstract
Non-perturbative approaches to linear and nonlinear responses (NLR) of atoms, molecules, and molecular aggregates are reviewed in relation to low and high harmonic generations (HG) by laser fields. These response properties are effective for the generation of entangled light pairs for quantum information [...] Read more.
Non-perturbative approaches to linear and nonlinear responses (NLR) of atoms, molecules, and molecular aggregates are reviewed in relation to low and high harmonic generations (HG) by laser fields. These response properties are effective for the generation of entangled light pairs for quantum information processing by spontaneous parametric downconversion (SPDC) and stimulated four-wave mixing (SFWM). Quasi-energy derivative (QED) methods, such as QED Møller–Plesset (MP) perturbation, are reviewed as time-dependent variational methods (TDVP), providing analytical expressions of time-dependent linear and nonlinear responses of open-shell atoms, molecules, and molecular aggregates. Numerical Liouville methods for the low HG (LHG) and high HG (HHG) regimes are reviewed to elucidate the NLR of molecules in both LHG and HHG regimes. Three-step models for the generation of HHG in the latter regime are reviewed in relation to developments of attosecond science and spectroscopy. Orbital tomography is also reviewed in relation to the theoretical and experimental studies of the amplitudes and phases of wave functions of open-shell atoms and molecules, such as molecular oxygen, providing the Dyson orbital explanation. Interactions between quantum lights and molecules are theoretically examined in relation to derivations of several distribution functions for quantum information processing, quantum dynamics of molecular aggregates, and future developments of quantum molecular devices such as measurement-based quantum computation (MBQP). Quantum dynamics for energy transfer in dendrimer and related light-harvesting antenna systems are reviewed to examine the classical and quantum dynamics behaviors of photosynthesis. It is shown that quantum coherence plays an important role in the well-organized arrays of chromophores. Finally, applications of quantum optics to molecular quantum information and quantum biology are examined in relation to emerging interdisciplinary frontiers. Full article
30 pages, 1312 KB  
Review
Neurofilament Biomarkers in Neurology: From Neuroinflammation to Neurodegeneration, Bridging Established and Novel Analytical Advances with Clinical Practice
by Ariadne Daponte, Christos Koros, Charalampos Skarlis, Daphne Siozios, Michail Rentzos, Sokratis G. Papageorgiou and Maria Anagnostouli
Int. J. Mol. Sci. 2025, 26(19), 9739; https://doi.org/10.3390/ijms26199739 - 7 Oct 2025
Abstract
Neuroaxonal damage underlies permanent disability in various neurological conditions, both neuroautoimmune and neurodegenerative. It is crucial to accurately quantify and monitor axonal injury using biomarkers to evaluate disease progression and treatment effectiveness and offer prognostic insights. Neurofilaments (NFs), and especially neurofilament light chain [...] Read more.
Neuroaxonal damage underlies permanent disability in various neurological conditions, both neuroautoimmune and neurodegenerative. It is crucial to accurately quantify and monitor axonal injury using biomarkers to evaluate disease progression and treatment effectiveness and offer prognostic insights. Neurofilaments (NFs), and especially neurofilament light chain (NfL), show promise for this purpose, as their levels increase with neuroaxonal damage in both cerebrospinal fluid and blood, independent of specific causal pathways. Recent advances in ultrasensitive immunoassays enable the reliable detection of NFs in blood, transforming them from research tools into clinically applicable measures. In multiple sclerosis (MS), serum NfL correlates with disease activity, treatment response, and long-term disability, and may complement MRI in monitoring subclinical progression. In MS, NfL is primarily emerging as a marker of disease activity and treatment response; in amyotrophic lateral sclerosis (ALS), it has progressed further, being integrated into clinical trials as a pharmacodynamic endpoint and considered by regulatory agencies as a drug development tool. Additionally, NFs are increasingly being investigated in Alzheimer’s disease, frontotemporal dementia, and other neurodegenerative disorders, though their disease specificity is limited. Ongoing challenges include older and novel assay harmonization, normative range interpretation, biological and analytical variability, and integration with other molecular and imaging biomarkers. This critical narrative review synthesizes the existing literature on NFs as diagnostic, prognostic, predictive, and pharmacodynamic biomarkers and discusses their role in therapeutic development and precision medicine in neuroautoimmune and neurodegenerative diseases. Full article
(This article belongs to the Section Molecular Neurobiology)
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25 pages, 1098 KB  
Review
Review of Nano- and Micro- Indentation Tests for Rocks
by Qingqing He and Heinz Konietzky
Geosciences 2025, 15(10), 389; https://doi.org/10.3390/geosciences15100389 - 7 Oct 2025
Abstract
Nano- and micro-indentation have become essential tools for quantifying the micromechanical behavior of rocks beyond traditional macroscopic tests. This review summarizes the historical evolution, experimental methodologies, and interpretation models (e.g., Oliver–Pharr, Doerner–Nix, energy-based methods, Hertz/ECM/Lawn), with a particular focus on rock-specific challenges such [...] Read more.
Nano- and micro-indentation have become essential tools for quantifying the micromechanical behavior of rocks beyond traditional macroscopic tests. This review summarizes the historical evolution, experimental methodologies, and interpretation models (e.g., Oliver–Pharr, Doerner–Nix, energy-based methods, Hertz/ECM/Lawn), with a particular focus on rock-specific challenges such as heterogeneity, anisotropy, and surface roughness. A structured literature survey (1980–August 2025) covers representative studies on shale, limestone, marble, sandstone, claystone, and granite. The transition from classical hardness measurements to advanced instrumented indentation has enabled more reliable determination of localized properties, including hardness, elastic modulus, fracture toughness, and creep. Special attention is given to the applicability and limitations of different interpretation models when applied to heterogeneous and anisotropic rocks. Current challenges include high sensitivity to surface conditions and difficulties in capturing the full complexity of natural rock behavior. Looking forward, promising directions involve intelligent systems that integrate AI-driven data analytics, robotic automation, and multiscale modeling (from molecular dynamics to continuum FEM) to enable predictive material design. This review aims to provide geoscientists and engineers with a comprehensive foundation for the effective application and further development of indentation-based testing in rock mechanics and geotechnical engineering. Full article
(This article belongs to the Section Geomechanics)
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28 pages, 3804 KB  
Article
Analysis of a Three-Echelon Supply Chain System with Multiple Retailers, Stochastic Demand and Transportation Times
by Georgios Varlas, Stelios Koukoumialos, Alexandros Diamantidis and Evangelos Ioannidis
Mathematics 2025, 13(19), 3199; https://doi.org/10.3390/math13193199 - 6 Oct 2025
Viewed by 60
Abstract
In this paper we present an exact numerical model for the evaluation of a three-echelon supply chain with multiple retailers. Poisson demand, exponentially distributed transportation times and lost sales at the retailers are assumed. The system is modeled as a continuous time Markov [...] Read more.
In this paper we present an exact numerical model for the evaluation of a three-echelon supply chain with multiple retailers. Poisson demand, exponentially distributed transportation times and lost sales at the retailers are assumed. The system is modeled as a continuous time Markov chain, and the analysis is based on matrix analytic methods. We analyze the infinitesimal generator matrix of the process and develop an algorithm for its construction. Performance measures for the system are calculated algorithmically from the stationary probabilities vector. The algorithm is used for an extensive numerical investigation of the system so that conclusions of managerial importance may be drawn. Full article
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22 pages, 360 KB  
Article
Joint Discrete Approximation by the Riemann and Hurwitz Zeta Functions in Short Intervals
by Antanas Laurinčikas and Darius Šiaučiūnas
Symmetry 2025, 17(10), 1662; https://doi.org/10.3390/sym17101662 - 5 Oct 2025
Viewed by 181
Abstract
In this paper, we prove the theorems on the simultaneous approximation of a pair of analytic functions by discrete shifts (ζ(s+ikh1),ζ(s+ikh2,α)) [...] Read more.
In this paper, we prove the theorems on the simultaneous approximation of a pair of analytic functions by discrete shifts (ζ(s+ikh1),ζ(s+ikh2,α)), h1>0, h2>0 of the Riemann zeta function ζ(s) and Hurwitz zeta function ζ(s,α). The lower density and density of the above approximating shifts are considered in short intervals [N,N+M] as N with M=o(N). If the set {(h1logp:pP),(h2log(m+α):mN0),2π} is linearly independent over Q, the class of approximated pairs is explicitly given. If α and h1, h2 are arbitrary, then it is known that the set of approximated pairs is a certain non-empty closed subset of H2(Δ), where H(Δ) is the space of analytic functions on the strip Δ={sC:1/2<Res<1}. For the proof, limit theorems on weakly convergent probability measures in the space H2(Δ) are applied. Full article
(This article belongs to the Section Mathematics)
15 pages, 2055 KB  
Article
Natural Biological Properties Inherited from Native Endemic Flora in Honeys from Lake Ranco Area of Southern Chile: A Botanical and Physicochemical Approach
by Enrique Mejías, Carlos Gómez, Pablo Díaz and Tatiana Garrido
Molecules 2025, 30(19), 3984; https://doi.org/10.3390/molecules30193984 - 4 Oct 2025
Viewed by 209
Abstract
Chile boasts a rich variety of native endemic melliferous flora, recognized internationally for the excellent taste and biological properties of its honeys. While honey production occurs across various regions, the southern zone, particularly near native rainforests, yields highly valued honeys that often lack [...] Read more.
Chile boasts a rich variety of native endemic melliferous flora, recognized internationally for the excellent taste and biological properties of its honeys. While honey production occurs across various regions, the southern zone, particularly near native rainforests, yields highly valued honeys that often lack comprehensive analytical characterization. This study was focused on seven apiaries near Lake Ranco in the Los Rios Region, collecting two honey samples from each location over two consecutive harvesting seasons, totaling 20 samples. Key parameters analyzed included botanical origin, total carbohydrates, glucose/fructose ratio, total phenolic compounds, antioxidant/antiradical activity and 5-hydroxymethylfurfural (HMF) content. The results indicated a significant influence of three native species, Eucryphia cordifolia, Caldcluvia paniculata, and Weinmannia trichosperma, on the antioxidant activity of the honeys. The physicochemical parameters measured, along with the concentration and activity of the compounds responsible for this activity, establish a very characteristic pattern for the monofloral honeys of these three species. This information could serve as a foundation for constructing a map to help differentiate Chilean honeys based on their natural biological attributes helpful for consumer health, generating distinctive profiles that would contribute to accurately guaranteeing their geographical origin and, consequently, increase their specific value. Full article
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19 pages, 1292 KB  
Review
Ricin and Abrin in Biosecurity: Detection Technologies and Strategic Responses
by Wojciech Zajaczkowski, Ewelina Bojarska, Elwira Furtak, Michal Bijak, Rafal Szelenberger, Marcin Niemcewicz, Marcin Podogrocki, Maksymilian Stela and Natalia Cichon
Toxins 2025, 17(10), 494; https://doi.org/10.3390/toxins17100494 - 3 Oct 2025
Viewed by 331
Abstract
Plant-derived toxins such as ricin and abrin represent some of the most potent biological agents known, posing significant threats to public health and security due to their high toxicity, relative ease of extraction, and widespread availability. These ribosome-inactivating proteins (RIPs) have been implicated [...] Read more.
Plant-derived toxins such as ricin and abrin represent some of the most potent biological agents known, posing significant threats to public health and security due to their high toxicity, relative ease of extraction, and widespread availability. These ribosome-inactivating proteins (RIPs) have been implicated in politically and criminally motivated events, underscoring their critical importance in the context of biodefense. Public safety agencies, including law enforcement, customs, and emergency response units, require rapid, sensitive, and portable detection methods to effectively counteract these threats. However, many existing screening technologies lack the capability to detect biotoxins unless specifically designed for this purpose, revealing a critical gap in current biodefense preparedness. Consequently, there is an urgent need for robust, field-deployable detection platforms that operate reliably under real-world conditions. End-users in the security and public health sectors demand analytical tools that combine high specificity and sensitivity with operational ease and adaptability. This review provides a comprehensive overview of the biochemical characteristics of ricin and abrin, their documented misuse, and the challenges associated with their detection. Furthermore, it critically assesses key detection platforms—including immunoassays, mass spectrometry, biosensors, and lateral flow assays—focusing on their applicability in operational environments. Advancing detection capabilities within frontline services is imperative for effective prevention, timely intervention, and the strengthening of biosecurity measures. Full article
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14 pages, 5634 KB  
Article
Validation of Analytical Models for the Development of Non-Invasive Glucose Measurement Devices
by Bruna Gabriela Pedro, Fernanda Maltauro de Cordova, Yana Picinin Sandri Lissarassa, Fabricio Noveletto and Pedro Bertemes-Filho
Biosensors 2025, 15(10), 669; https://doi.org/10.3390/bios15100669 - 3 Oct 2025
Viewed by 261
Abstract
Non-invasive glucose monitoring remains a persistent challenge in the scientific literature due to the complexity of biological samples and the limitations of traditional optical methods. Although advances have been made in the use of near-infrared (NIR) spectrophotometry, the direct application of the Lambert–Beer [...] Read more.
Non-invasive glucose monitoring remains a persistent challenge in the scientific literature due to the complexity of biological samples and the limitations of traditional optical methods. Although advances have been made in the use of near-infrared (NIR) spectrophotometry, the direct application of the Lambert–Beer Law (LBL) to such systems has proven problematic, particularly due to the non-linear behavior observed in complex organic solutions. In this context, the objective of this work is to propose and validate a methodology for the determination of the extinction coefficient of glucose in blood, taking into account the limitations of the LBL and the specificities of molecular interactions. The method was optimized through an iterative process to provide consistent results over multiple replicates. Whole blood and plasma samples from two individuals were analyzed using spectrophotometry in the 700 nm to 1400 nm. The results showed that glucose has a high spectral sensitivity close to 975 nm.The extinction coefficients obtained for glucose (αg) ranged from −0.0045 to −0.0053, and for insulin (αi) from 0.000075 to 0.000078, with small inter-individual variations, indicating strong stability of these parameters. The non-linear behaviour observed in the relationship between absorbance, glucose and insulin concentrations might be explained by the changes imposed by both s and p orbitals of organic molecules. In order to make the LBL valid in this context, the extinction coefficients must be functions of the analyte concentrations, and the insulin concentration must also be a function of glucose. A regression model was found which allows to differentiate glucose from insulin concentration, by considering the cuvette thickness and sample absorbance at 965, 975, and 985 nm. It can also be concluded from experiments that wavelength of approximately 975 nm is more suitable for blood glucose calculation by using photometry. The final spectra are consistent with those reported in mid-infrared validation studies, suggesting that the proposed model encompasses the key aspects of glucose behavior in biological media. Full article
(This article belongs to the Special Issue Recent Advances in Glucose Biosensors)
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28 pages, 386 KB  
Review
Inflammatory and Oxidative Biological Profiles in Mental Disorders: Perspectives on Diagnostics and Personalized Therapy
by Izabela Woźny-Rasała and Ewa Alicja Ogłodek
Int. J. Mol. Sci. 2025, 26(19), 9654; https://doi.org/10.3390/ijms26199654 - 3 Oct 2025
Viewed by 119
Abstract
Personalized psychiatry represents an innovative therapeutic approach that integrates biological, genetic, and clinical data to optimize the treatment of mental disorders. Laboratory diagnostics play a fundamental role in this process by providing precise biomarkers that characterize pathophysiological mechanisms such as neuroinflammatory processes, oxidative [...] Read more.
Personalized psychiatry represents an innovative therapeutic approach that integrates biological, genetic, and clinical data to optimize the treatment of mental disorders. Laboratory diagnostics play a fundamental role in this process by providing precise biomarkers that characterize pathophysiological mechanisms such as neuroinflammatory processes, oxidative stress, dysfunction of the Hypothalamic–Pituitary–Adrenal (HPA) axis, as well as disturbances in neuroplasticity and neurodegeneration. This article discusses the use of advanced analytical techniques, such as immunoenzymatic assays for pro-inflammatory cytokines (Interleukin-1β- IL-1β; Interleukin-6-IL-6; Interleukin-18-IL-18; and Tumor Necrosis Factor- α - TNF-α). It also emphasizes the role of pharmacogenomic diagnostics in the individualization of psychotropic therapy. Interdisciplinary collaboration between laboratory diagnosticians and clinicians supports the potential for multidimensional analysis of biomarker data in a clinical context, which supports precise patient profiling and monitoring of treatment responses. Despite progress, there are limitations, such as the lack of standardization in measurement methods, insufficient biomarker validation, and limited availability of tests in clinical practice. Development prospects include the integration of multi-marker panels, the use of point-of-care diagnostics, and the implementation of artificial intelligence tools for the analysis of multidimensional data. As a result, laboratory diagnostics are becoming an integral element of personalized psychiatry, enabling a better understanding of the neurobiology of mental disorders and the implementation of more effective therapeutic strategies. Full article
(This article belongs to the Section Molecular Genetics and Genomics)
22 pages, 8922 KB  
Article
Stress Assessment of Abutment-Free and Three Implant–Abutment Connections Utilizing Various Abutment Materials: A 3D Finite Element Study of Static and Cyclic Static Loading Conditions
by Maryam H. Mugri, Nandalur Kulashekar Reddy, Mohammed E. Sayed, Khurshid Mattoo, Osama Mohammed Qomari, Mousa Mahmoud Alnaji, Waleed Abdu Mshari, Firas K. Alqarawi, Saad Saleh AlResayes and Raghdah M. Alshaibani
J. Funct. Biomater. 2025, 16(10), 372; https://doi.org/10.3390/jfb16100372 - 2 Oct 2025
Viewed by 390
Abstract
Background: The implant–abutment interface has been thoroughly examined due to its impact on the success of implant healing and longevity. Removing the abutment is advantageous, but it changes the biomechanics of the implant fixture and restoration. This in vitro three-dimensional finite element analytical [...] Read more.
Background: The implant–abutment interface has been thoroughly examined due to its impact on the success of implant healing and longevity. Removing the abutment is advantageous, but it changes the biomechanics of the implant fixture and restoration. This in vitro three-dimensional finite element analytical (FEA) study aims to evaluate the distribution of von Mises stress (VMS) in abutment-free and three additional implant abutment connections composed of various titanium alloys. Materials and methods: A three-dimensional implant-supported single-crown prosthesis model was digitally generated on the mandibular section using a combination of microcomputed tomography imaging (microCT), a computer-assisted designing (CAD) program (SolidWorks), Analysis of Systems (ANSYS), and a 3D digital scan (Visual Computing Lab). Four digital models [A (BioHorizons), B (Straumann AG), C abutment-free (Matrix), and D (TRI)] representing three different functional biomaterials [wrought Ti-6Al-4Va ELI, Roxolid (85% Ti, 15% Zr), and Ti-6Al-4V ELI] were subjected to simulated static/cyclic static loading in axial/oblique directions after being restored with highly translucent monolithic zirconia restoration. The stresses generated on the implant fixture, abutment, crown, screw, cortical, and cancellous bones were measured. Results: The highest VMSs were generated by the abutment-free (Model C, Matrix) implant system on the implant fixture [static (32.36 Mpa), cyclic static (83.34 Mpa)], screw [static (16.85 Mpa), cyclic static (30.33 Mpa), oblique (57.46 Mpa)], and cortical bone [static (26.55), cyclic static (108.99 Mpa), oblique (47.8 Mpa)]. The lowest VMSs in the implant fixture, abutment, screw, and crown were associated with the binary alloy Roxolid [83–87% Ti and 13–17% Zr]. Conclusions: Abutment-free implant systems generate twice the stress on cortical bone than other abutment implant systems while producing the highest stresses on the fixture and screw, therefore demanding further clinical investigations. Roxolid, a binary alloy of titanium and zirconia, showed the least overall stresses in different loadings and directions. Full article
(This article belongs to the Special Issue Biomaterials and Biomechanics Modelling in Dental Implantology)
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25 pages, 2876 KB  
Article
Prediction of the Injury Severity of Accidents at Work: A New Approach to Analysis of Already Existing Statistical Data
by Szymon Ordysiński
Appl. Sci. 2025, 15(19), 10666; https://doi.org/10.3390/app151910666 - 2 Oct 2025
Viewed by 233
Abstract
This article presents a novel statistical approach for analyzing occupational accident data from the ESAW database, aiming to improve the evaluation and prediction of accident severity among specific groups of employees. The proposed method combines univariate and multivariate analytical techniques (effect size measures [...] Read more.
This article presents a novel statistical approach for analyzing occupational accident data from the ESAW database, aiming to improve the evaluation and prediction of accident severity among specific groups of employees. The proposed method combines univariate and multivariate analytical techniques (effect size measures and classification tree methods: CHAID and CART) to identify employee groups that are both statistically robust and meaningfully distinct. The resulting model is based on six key variables describing employee and workplace characteristics, enabling accurate prediction of accident severity within these groups. The model demonstrates high reliability in predicting accident severity, achieving over 80% accuracy in a binary classification (high vs. low risk), making it a valuable tool for risk management and proactive safety planning. The findings have both theoretical and practical implications. Theoretically, the model’s strong predictive performance suggests that accident severity is not random but follows identifiable patterns linked to underlying risk factors that go beyond standard occupational or economic classification. Practically, the model allows for a more detail and effective categorization of work environments into high- and low-risk classes, and can support safety professionals, managers, and policymakers in achieving more precise identification of employee groups that are more prone to severe accidents. Full article
(This article belongs to the Section Computing and Artificial Intelligence)
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25 pages, 989 KB  
Article
Upper Bound Error of Estimated Probability Density Function of the Product of Two Normal Random Variables
by Rifyan Nasution, Gianto, Roberd Saragih and Khreshna Syuhada
Mathematics 2025, 13(19), 3162; https://doi.org/10.3390/math13193162 - 2 Oct 2025
Viewed by 152
Abstract
The probability density function (PDF) of the product of two normal random variables remains an open discussion. Researchers have proposed many forms of PDFs. Among these, two notable PDFs are an analytical solution with infinite summation and an integral form with transformation. For [...] Read more.
The probability density function (PDF) of the product of two normal random variables remains an open discussion. Researchers have proposed many forms of PDFs. Among these, two notable PDFs are an analytical solution with infinite summation and an integral form with transformation. For practical computation, they must be estimated. The form with infinite summation must be truncated to a finite summation, and the form still in integration must be computed numerically. As a result of this estimation, an error occurs in the value of the estimation. This paper derives upper bounds for the estimation error resulting from truncation and numerical approximation in integral calculations. The upper bound error between the exact PDF and the truncated PDF is expressed as a geometric series using Bessel function inequality and Stirling’s approximation. The geometric formula allows the quantification of the total truncation error to be determined. For the PDF, which is still in integration form, the trapezoidal rule is used for numeric calculation. Hence, the error can be determined using the error-bound formula. The two estimated PDFs have their own advantages and disadvantages. The truncated PDF gives a relatively small upper bound value compared to the numerical calculation integral form PDF for a small value domain. However, the truncated PDF fails to perform for a large value domain, and only the integral form PDF can be used. The error for the estimation is applied to the conventional mass measurement. The results demonstrate that the error can be controlled through an analytical approach. Full article
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19 pages, 2928 KB  
Article
Real-Time Monitoring of Particulate Matter in Indoor Sports Facilities Using Low-Cost Sensors: A Case Study in a Municipal Small-to-Medium-Sized Indoor Sport Facility
by Eleftheria Katsiri, Christos Kokkotis, Dimitrios Pantazis, Alexandra Avloniti, Dimitrios Balampanos, Maria Emmanouilidou, Maria Protopapa, Nikolaos Orestis Retzepis, Panagiotis Aggelakis, Panagiotis Foteinakis, Nikolaos Zaras, Maria Michalopoulou, Ioannis Karakasiliotis, Paschalis Steiropoulos and Athanasios Chatzinikolaou
Eng 2025, 6(10), 258; https://doi.org/10.3390/eng6100258 - 2 Oct 2025
Viewed by 170
Abstract
Indoor sports facilities present unique challenges for air quality management due to high crowd densities and limited ventilation. This study investigated air quality in a municipal athletic facility in Komotini, Greece, focusing on concentrations of airborne particulate matter (PM1.0, PM2.5 [...] Read more.
Indoor sports facilities present unique challenges for air quality management due to high crowd densities and limited ventilation. This study investigated air quality in a municipal athletic facility in Komotini, Greece, focusing on concentrations of airborne particulate matter (PM1.0, PM2.5, PM10), humidity, and temperature across spectator zones, under varying mask scenarios. Sensing devices were installed in the stands to collect high-frequency environmental data. The system, based on optical particle counters and cloud-enabled analytics, enabled real-time data capture and retrospective analysis. The main experiment investigated the impact of spectators wearing medical masks during two basketball games. The results show consistently elevated PM levels during games, often exceeding recommended international thresholds in the spectator area. Notably, the use of masks by spectators led to measurable reductions in PM1.0 and PM2.5 concentrations, because they seem to have limited the release of human-generated aerosols as well as the amount of movement among spectators, supporting their effectiveness in limiting fine particulate exposure in inadequately ventilated environments. Humidity emerged as a reliable indicator of occupancy and potential high-risk periods, making it a valuable parameter for real-time monitoring. The findings underscore the urgent need for improved ventilation strategies in small to medium-sized indoor sports facilities and support the deployment of low-cost sensor networks for actionable environmental health management. Full article
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17 pages, 828 KB  
Article
Quantum Coherence and Mixedness in Hydrogen Atoms: Probing Hyperfine Structure Dynamics Under Dephasing Constraints
by Kamal Berrada and Smail Bougouffa
Symmetry 2025, 17(10), 1633; https://doi.org/10.3390/sym17101633 - 2 Oct 2025
Viewed by 216
Abstract
We investigate the quantum dynamics of coherence in the hyperfine structure of hydrogen atoms subjected to dephasing noise, modeled using the Lindblad master equation. The effective Hamiltonian describes the spin–spin interaction between the electron and proton, with dephasing introduced via Lindblad operators. Analytical [...] Read more.
We investigate the quantum dynamics of coherence in the hyperfine structure of hydrogen atoms subjected to dephasing noise, modeled using the Lindblad master equation. The effective Hamiltonian describes the spin–spin interaction between the electron and proton, with dephasing introduced via Lindblad operators. Analytical solutions for the time-dependent density matrix are derived for various initial states, including separable, partially entangled, and maximally entangled configurations. Quantum coherence is quantified through the l1-norm measures, while purity is evaluated to assess mixedness. Results demonstrate that coherence exhibits oscillatory decay modulated by the dephasing rate, with antiparallel spin states showing greater resilience against noise compared to parallel configurations. These findings highlight the interplay between coherent hyperfine dynamics and environmental dephasing, offering insights into preserving quantum resources in atomic systems for applications in quantum information science. Full article
(This article belongs to the Special Issue Applications Based on Symmetry/Asymmetry in Quantum Mechanics)
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