Both large-scale prospective randomized controlled trials(RCTs)and smaller investigator-initiated trials are essential for evaluating the efficacy and safety of medical interventions.Robust protocols and statistical d...Both large-scale prospective randomized controlled trials(RCTs)and smaller investigator-initiated trials are essential for evaluating the efficacy and safety of medical interventions.Robust protocols and statistical designs ensure the reliability of trial outcomes and improve the credibility of research findings.By reviewing the statistical approaches used in the TORCHLIGHT,NCC2167,and NeoTENNIS trials,this article illustrates the principles underlying large-sample confirmatory RCTs,small-sample exploratory adaptive designs,and single-arm two-stage designs.This discussion is aimed at helping researchers apply these design methods more effectively,to increase the likelihood of success in clinical studies.展开更多
Blisks have been widely adopted in various aero-engines due to the advantages such as simple structure and low loss.However,influenced by machining errors,the geometric inconsistency of blisk blades is significant,lea...Blisks have been widely adopted in various aero-engines due to the advantages such as simple structure and low loss.However,influenced by machining errors,the geometric inconsistency of blisk blades is significant,leading to deviations in the compressor performance from the design and scatter increase.To accurately assess performance uncertainty effects of machining errors using uncertainty quantification methods,‘statistical characteristics of machining errors’as uncertainty quantification inputs are particularly critical.This study is the first to highlight measured machining errors'uncertainty analysis for blisks.Measured machining errors from the front,middle,and rear stages of multi-stage compressor blisks are analyzed regarding their systematic deviations and scatters along the radial direction,and probability distribution characteristics.The results show that due to differences in clamping and fixing methods,the statistical characteristics of machining errors for‘blisk'differ from those of‘single blade’.Additionally,variations in material properties and sizes of blades at different compressor stages lead to differences in the statistical characteristics of machining errors.For different sections,systematic deviations and scatters in machining errors are notably significant near the blade tip,making it challenging to ensure machining consistency.For different stages,machining errors of the rear stage blades are the most scattering.Compared with the design geometry,several phenomena observed in most blades,such as‘under deflection’,‘thicker pressure/suction surfaces’and‘larger leading-edge radius’,should be improved,owing to their adverse effects in compressors.Furthermore,probability distributions of machining errors exhibit characteristics such as‘skewness’,‘bimodality’,and‘data missing’,indicating that traditional normal distributions are insufficient for accurately characterizing the above distributions.The research results provide a clear demonstration of the machining capabilities of compressor blisks and offer data support for correctly constructing probability models of machining errors,thereby enabling accurate prediction of their performance uncertainty effects.展开更多
The application of artificial neural network (ANN) models to achieve higher accuracy in industrial sensing has become a popular research topic in recent years. However, neural network models are purely data-driven mul...The application of artificial neural network (ANN) models to achieve higher accuracy in industrial sensing has become a popular research topic in recent years. However, neural network models are purely data-driven multivariate “black-box” models, and the features extracted from the hidden layer have no actual physical meaning, making the performance of ANN-based sensing models unstable and difficult to practically apply at process industry sites. To address these challenges, this paper proposes a generalized ANN model called the partial least squares (PLS)-assisted optimization network (PLSaoNET). PLSaoNET employs the PLS model to assist in determining the initialization weights of the network and the number of hidden-layer neurons. The subsequent training serves as a reoptimization process guided by the PLS regression result, enabling the network to incorporate statistical constraints and thereby reducing its reliance on data. In addition, to address the problem of uneven distributions of sample labels at industrial sites, this paper designs a stratified sampling method for network retraining. The efficiency and superiority of the proposed method are verified via two industrial sensing applications: the monitoring of iron grade in iron ore concentrate slurry samples based on laser-induced breakdown spectroscopy (LIBS) data, and the assessment of the quality of diesel fuels based on near-infrared (NIR) spectroscopy data. In comparison with a PLS regression model and a Xavier initialization-based backpropagation neural network (BPNN) model, PLSaoNET exhibits the best modeling accuracy and generalization performance. This work designs a complete theoretical framework to guide the determination of hyperparameters and specify the solution paths of the network, thereby satisfying the triple requirements of accuracy, robustness, and ease of use in industrial processes. The proposed model holds great potential for improving the accuracy and reliability of industrial sensing in production processes.展开更多
This study investigates stochastic resonance(SR)phenomena in bistable coupled networks driven by non-Gaussian noise.Employing signal-to-noise ratio(SNR)and statistical complexity as quantitative metrics,we characteriz...This study investigates stochastic resonance(SR)phenomena in bistable coupled networks driven by non-Gaussian noise.Employing signal-to-noise ratio(SNR)and statistical complexity as quantitative metrics,we characterize the SR behavior.First,the dimensionality of a coupled network system is reduced via the mean field theory.Subsequently,we derive closed-form analytical expressions of SNR by the path integral method,the slaving principle and the two-state model theory.Numerical simulations are used to validate the consistency between SR features identified through statistical complexity and those obtained via SNR calculations,thereby corroborating the reliability of our analytical framework.Both theoretical and numerical results conclusively demonstrate the occurrence of SR in the network system.Parametric analyses further elucidate the modulation of SR characteristics by three critical factors:non-Gaussian noise intensity parameters,noise correlation timescale and inter-node coupling strength.Finally,we explore the system's size resonance properties.展开更多
With the rapid expansion of cloud computing and large-scale artificial intelligence models,building accurate and transparent energy-use statistics for data centers has become a critical challenge for global energy sys...With the rapid expansion of cloud computing and large-scale artificial intelligence models,building accurate and transparent energy-use statistics for data centers has become a critical challenge for global energy systems and climate governance.Existing studies report strikingly divergent estimates of global data center electricity consumption,ranging from 196 to 1200 TW·h in 2020,a more than sixfold difference.Such discrepancies reveal profound uncertainties and structural deficiencies in current energy accounting frameworks.Conventional estimation approaches rely heavily on indirect assumptions,proxy indicators,or highly aggregated regional and national statistics,obscuring the true electricity demand of data centers.This lack of statistical transparency distorts energy and carbon accounting,weakens power system planning,and constrains the effective integration of renewable energy with rapidly growing computing demand.This paper highlights that data centers should be treated as a distinct and strategically important end-use energy sector.It emphasizes the need for grid-informed energy registration,enhanced artificial intelligence identification techniques to improve the accuracy and verifiability of energy statistics.Furthermore,the paper emphasizes that policymakers should establish coordinated policy frameworks,enforce standardized energy reporting,and design appropriate incentive mechanisms to encourage data centers to participate in demand response programs and electricity markets,thereby unlocking load flexibility and supporting a secure,low-carbon energy transition.展开更多
Principal stress plays a critical role in the deformation and failure process of rock or rock-like materials.However,existing studies indicate that the construction of a damage model based on principal stresses for de...Principal stress plays a critical role in the deformation and failure process of rock or rock-like materials.However,existing studies indicate that the construction of a damage model based on principal stresses for describing the entire process of three-dimensional rock fracturing is subject to certain limitations and inadequacies.In this study,an innovative three-dimensional statistical damage constitutive model is developed by integrating the principal stress effect with the Gamma distribution function.This model effectively captures the complete damage evolution process of rock materials with initial defects through the introduction of a compaction correction coefficient and a residual strength correction term.Notably,the simulation accuracy is significantly enhanced in both the initial compaction stage and the post-peak residual strength stage.The parameter θ serves as an indicator of the material brittle-to-ductile transition,whereas the parameter k reflects the material's strength characteristics.The parameter calibration process consists of three steps:determining the θ value on the basis of the rock brittleness index,deriving the k parameter from the k value growth curve,and finally establishing the peak-residual strength prediction equation under given confining pressure conditions.Compared with the traditional statistical damage model based on the Weibull distribution,this model not only features clear physical significance and a simplified calculation procedure but also contributes to the advancement of the three-dimensional damage fracture theory system for rock mechanics.Moreover,it offers a robust framework for evaluating the mechanical response of rocks under varying confining pressures,which has significant implications for safe design and risk assessment in civil engineering or rock engineering.展开更多
Under the optimal norming constants, this paper studies the higher-order expansions of the distributions and densities of the powered order statistics of Maxwell sequence. As auxiliary results, the corresponding conve...Under the optimal norming constants, this paper studies the higher-order expansions of the distributions and densities of the powered order statistics of Maxwell sequence. As auxiliary results, the corresponding convergence rates are obtained. The results show that the convergence rates of distributions and densities of normalized power order statistics are related to power index in principle. Finally, we compared the accuracy of each approximations with its true values through numerical experiments.展开更多
To investigate the damage evolution caused by stress-driven and sub-critical crack propagation within the Beishan granite under multi-creep triaxial compressive conditions,the distributed optical fiber sensing and X-r...To investigate the damage evolution caused by stress-driven and sub-critical crack propagation within the Beishan granite under multi-creep triaxial compressive conditions,the distributed optical fiber sensing and X-ray computed tomography were combined to obtain the strain distribution over the sample surface and internal fractures of the samples.The Gini and skewness(G-S)coefficients were used to quantify strain localization during tests,where the Gini coefficient reflects the degree of clustering of elements with high strain values,i.e.,strain localization/delocalization.The strain localization-induced asymmetry of data distribution is quantified by the skewness coefficient.A precursor to granite failure is defined by the rapid and simultaneous increase of the G-S coefficients,which are calculated from strain increment,giving an earlier warning of failure by about 8%peak stress than those from absolute strain values.Moreover,the process of damage accumulation due to stress-driven crack propagation in Beishan granite is different at various confining pressures as the stress exceeds the crack initiation stress.Concretely,strain localization is continuous until brittle failure at higher confining pressure,while both strain localization and delocalization occur at lower confining pressure.Despite the different stress conditions,a similar statistical characteristic of strain localization during the creep stage is observed.The Gini coefficient increases,and the skewness coefficient decreases slightly as the creep stress is below 95%peak stress.When the accelerated strain localization begins,the Gini and skewness coefficients increase rapidly and simultaneously.展开更多
This study surveyed 96 high school students via questionnaires,adopting descriptive statistics,correlation analysis,and theoretical frameworks(Uses and Gratifications,Theory of Planned Behavior)to explore social media...This study surveyed 96 high school students via questionnaires,adopting descriptive statistics,correlation analysis,and theoretical frameworks(Uses and Gratifications,Theory of Planned Behavior)to explore social media’s influence on their consumption preferences and financial traits.Data was analyzed using MATLAB R2023b.Key findings:42.7%use social media 1–3 hours daily,with short-video platforms dominating(76.0%).Consumption follows a“basic needs+entertainment”pattern.Social media recommendations(61.5%)and peer interaction(52.1%)strongly shape decisions.Monthly spending is right-skewed(skewness=1.68,mean=847 yuan,median=750,SD=282).Daily usage time correlates moderately with spending(r=0.56,P<0.01).Social media guides consumption via algorithmic pushes,influencer marketing,and peer comparison,contributing to irrational consumption and low financial literacy.Targeted suggestions are provided for schools,families,society,and individuals to foster rational consumption and improve financial literacy.展开更多
Karst water serves as a crucial source of water supply in many regions worldwide,yet it remains environmentally sensitive and highly vulnerable to pollution,especially from mining activities.Understanding the spatial-...Karst water serves as a crucial source of water supply in many regions worldwide,yet it remains environmentally sensitive and highly vulnerable to pollution,especially from mining activities.Understanding the spatial-temporal variations in water quality and identifying the key geochemical processes in mining-impacted karst rivers are essential for ensuring regional water security and effective environmental management.This study undertakes a karst river affected by acid mine drainage(AMD),where typical mining activities generated wastewater,using a combination of Integrated Pollution Index(P),irrigation suitability assessment,health risk assessment,and multivariate statistical analysis to elucidate the impact of mining on water quality dynamics.The results show that seasonal variation of P and irrigation suitability follows the trend:dry season>flat season>wet season,but health risk assessments did not show significant differences in time.Spatially,streams influenced by upstream AMD exhibited higher P and lower irrigation suitability,indicating poor water quality unsuitable for both drinking and agricultural use.In contrast,downstream water quality improved due to dilution processes.Health risk assessments identified Mn as the primary non-carcinogenic risk factor in the study area.Multivariate statistical analysis revealed that water quality variations were predominantly controlled by pH,TN,NH3-N,SO42-,Ca2+,Mg2+,and heavy metals,all of which are closely associated with enhanced mineral weathering impacted by mining activities.These findings provide a scientific basis for targeted environmental policy-making and sustainable management strategies aimed at protecting the ecological integrity of karst river systems under mining pressure.展开更多
Improving the energy efficiency of information transmission is very critical to the development of future Internet of Things(IoT).Considering the sporadic characteristics for IoT transmissions,the energy consumption o...Improving the energy efficiency of information transmission is very critical to the development of future Internet of Things(IoT).Considering the sporadic characteristics for IoT transmissions,the energy consumption of a specific transmission session significantly varies with channel condition and Quality of Service(QoS)requirements.In this study,we focus on the analysis and optimization for wireless relaying communications'statistical energy consumption.Particularly,we investigate a wirelessly-powered DF relaying communication system.Under Time Switching(TS)and Power Splitting(PS)modes,we analyze and minimize the statistical energy consumption of transmitting a fixed amount of data using mathematical analysis.Through showing some selected numerical examples,we discuss various design tradeoffs.These results will provide some important guidelines for the design of green IoT communication systems.展开更多
Background Traditional Chinese Medicine(TCM),with over 5000 years of empirical practice,increasingly employs modern scientific frameworks such as randomized controlled trials(RCTs)to validate therapeutic claims,yet it...Background Traditional Chinese Medicine(TCM),with over 5000 years of empirical practice,increasingly employs modern scientific frameworks such as randomized controlled trials(RCTs)to validate therapeutic claims,yet its research reliability hinges critically on robust statistical rigor.Methods By systematically analyzing articles from Phytomedicine and Journal of Ethnopharmacology,this study evaluates statistical methodologies in TCM research,focusing on the adoption of advanced analytical techniques(e.g.,multivariate modeling)versus reliance on basic methods(e.g.,ANOVA)and identifies reporting gaps in trial design(e.g.,sample size estimation).Results Key findings indicate that foundational statistical methods,such as one-way ANOVA,were predominantly used(83.4%of articles),whereas more advanced approaches appeared in only 34.6%of studies.However,methodological rigor should not be equated with statistical complexity.The selection of analytical techniques must be driven by the research objectives,data structure,study design,and the complexity of the scientific questions under investigation.Advanced methods are not inherently superior;rather,the most appropriate approach is the one that is methodologically justified and aligned with underlying assumptions.Notably,substantial deficiencies in trial design and reporting were observed.A striking 81.5%of studies lacked pre-specified power calculations or sample size justifications,raising concerns about statistical validity.Reporting transparency was similarly limited:48.3%of articles did not adequately describe statistical procedures,and 69.8%failed to provide confidence intervals for primary effect estimates.Collectively,these limitations increase the risk of biased interpretation and undermine the robustness,reproducibility,and credibility of the findings.Conclusion Strengthening statistical rigor—through improved trial design transparency and adoption of advanced methods—is essential to enhance the credibility of TCM research,mitigate biases,and foster its integration into evidence-based medicine,ultimately ensuring clinically meaningful and actionable therapeutic insights.展开更多
In this paper,we present 16 early-phase type Ia supernovae(SNe Ia)discovered during the pilot survey of the 2.5 mr Wide Field Survey Telescope(WFST-PS)from 2024 March 4 to July 10 including three SNe Ia with early-exc...In this paper,we present 16 early-phase type Ia supernovae(SNe Ia)discovered during the pilot survey of the 2.5 mr Wide Field Survey Telescope(WFST-PS)from 2024 March 4 to July 10 including three SNe Ia with early-excess emission features(EEx SNe Ia).The discovery magnitude of the 16 WFST-PS early-phase SNe is at least 3 mag fainter than their peak brightness.A large scatter of color indices is found in approximately the first 10 days of supernova explosions,indicating diverse photometric behaviors in the early phase.Three EEx SNe Ia show relatively brighter peak luminosities and longer rise time compared to those of non-EEx SNe Ia.The results indicate that current theoretical models require further refinement to fully capture the early photometric evolution of SNe Ia.Based on the initial highcadence ugr-band data from the WFST-PS survey,we emphasize that early near-ultraviolet(NUV)observations are indispensable for placing tight constraints on the explosion mechanisms and progenitor systems of SNe Ia.展开更多
Vaginal delivery is a fascinating physiological process,but also a high-risk process.Up to 85%–90%of vaginal deliveries lead to perineal trauma,with nearly 11%of severe perineal tearing.It is a common occurrence,espe...Vaginal delivery is a fascinating physiological process,but also a high-risk process.Up to 85%–90%of vaginal deliveries lead to perineal trauma,with nearly 11%of severe perineal tearing.It is a common occurrence,especially for first-time mothers.Computational childbirth plays an essential role in the prediction and prevention of these traumas,but fast personalization of the pelvis and floor muscles is challenging due to their anatomical complexity.This study introduces a novel shape-prediction-based personalization of the pelvis and floor muscles for perineal tearing management and childbirth simulation.300 subjects were selected from public Computed Tomography(CT)databases.The pelvic bone nmjmeshes were generated using a coarse-to-fine non-rigid mesh alignment procedure.The floor muscle meshes were personalized using the bone mesh deformation information.A feature-to-pelvic structure reconstruction pipeline was proposed,incorporating various strategies.Ten-fold cross-validation helped determine the optimal reconstruction strategy,regression method,and feature sizes.The mesh-to-mesh distance metric was employed for evaluating.The statistical shape relation-based strategy,coupled with multi-output ridge regression,was the optimal approach for pelvic structure reconstruction.With a feature set ranging from 3 to 38,the mean errors were 2.672 to 1.613 mm,and 3.237 to 1.415 mm in muscle attachment regions.The best-and worst-case predictions had errors of 1.227±0.959 mm and 2.900±2.309 mm,respectively.This study provides a novel approach to achieving fast personalized childbirth modeling and simulation for perineal tearing management.展开更多
In this paper,we investigate the existence and degenerate regularity of trajectory statistical solutions for the three-dimensional Boussinesq system with damping.We first establish that the existence of trajectory att...In this paper,we investigate the existence and degenerate regularity of trajectory statistical solutions for the three-dimensional Boussinesq system with damping.We first establish that the existence of trajectory attractor holds,then we use it and natural translation semigroup to construct the trajectory statistical solutions in the trajectory space.Furthermore,we demonstrate that when the Grashof number related to the system remains sufficiently small,the trajectory statistical solution exhibits degenerate regularity.展开更多
Foams stabilized by surfactants play a pivotal role in in-dustry,daily life,and fundamental re-search.However,the molecular mech-anisms governing foam stability,par-ticularly the inter-play between surfac-tant structu...Foams stabilized by surfactants play a pivotal role in in-dustry,daily life,and fundamental re-search.However,the molecular mech-anisms governing foam stability,par-ticularly the inter-play between surfac-tant structure and interfacial behavior,remain incomplete-ly understood.Us-ing molecular dy-namics combined with advanced statistical analyses,we systematically explored the effects of alkyl trimethyl ammonium bromide(CnTAB)surfactants on the stability of foam film across a range of chain lengths and coverages.Our approach incorporated parallel simulations to ensure ro-bust evaluation of fluctuating properties and employed methods such as sigmoid fitting and kernel density estimation to extract detailed insights into interfacial characteristics.The re-sults reveal that increasing surfactant coverage significantly reduces interfacial tension via enhanced molecular packing,while chain length primarily influences structural properties,such as Gibbs dividing surface thickness and molecular orientation.Longer chains,particu-larly at high coverage,promote denser packing and resist penetration into the aqueous phase due to steric hindrance and hydrophobic interactions.These findings provide a molecular-level understanding of surfactant-stabilized interfaces and establish a robust framework for analyzing interfacial systems,offering insights for optimizing foam formula-tions in industrial applications.展开更多
We numerically study three-dimensional acoustic cavities with progressively increasing geometric complexity and analyze their spectral and spatial statistics.The eigenfrequency spectra and adjacent level-spacing ratio...We numerically study three-dimensional acoustic cavities with progressively increasing geometric complexity and analyze their spectral and spatial statistics.The eigenfrequency spectra and adjacent level-spacing ratios reveal a clear transition from Poisson to Gaussian orthogonal ensemble(GOE)statistics as the cavity structure becomes more irregular.The intermediate regimes are quantitatively characterized using the Berry–Robnik(BR)and Brody distributions,which yield consistent estimates of the chaotic fraction.Furthermore,both the participation ratio and long-range spectral correlations confirm the continuous evolution from integrable to chaotic dynamics.The distributions of normalized wavefunction amplitudes gradually approach the Gaussian prediction,indicating the onset of wave chaos.These results demonstrate that three-dimensional acoustic resonators provide a numerically controllable and experimentally accessible platform for studying the universal transition from Poisson to GOE statistics and for exploring the interplay between geometry and wave chaos.展开更多
BACKGROUND Patient-specific quality assurance(QA)is an essential component in the safe and precise delivery of radiotherapy,particularly in head and neck cancer cases where anatomical complexity and proximity to criti...BACKGROUND Patient-specific quality assurance(QA)is an essential component in the safe and precise delivery of radiotherapy,particularly in head and neck cancer cases where anatomical complexity and proximity to critical structures increase the risk of delivery deviations.As treatment techniques become more conformal and modulated,conventional gamma analysis often lacks sensitivity to subtle variations,necessitating advanced statistical tools to verify the accuracy of dose delivery.AIM To assess patient-specific QA performance,dosimetric accuracy,and long-term consistency using gamma analysis with statistical process control methods.METHODS A retrospective analysis of intensity-modulated radiation therapy and volumetric modulated arc therapy head and neck treatment plans was performed using electronic portal imaging device-based gamma pass rates under global criteria.Individual and Moving Range charts were generated to assess QA stability and detect trends.Initial control limits were derived from 20 QA plans and validated on 350 QA plans.Tolerance limits(TL)and action limits(AL)were calculated.The resulting charts offered a robust framework for monitoring QA performance and identifying deviations.RESULTS The central line values decreased progressively with stricter gamma criteria,from 98.835%(3%/3 mm)to 94.4%(2%/2 mm).TL and AL narrowed correspondingly,with TL dropping from 97.869%to 93.672%.Exponentially Weighted Moving Average charts provided smoother detection of persistent small deviations compared to Individual and Moving Range charts,enhancing sensitivity.Across all criteria,QA processes remained statistically stable,although tighter thresholds reduced pass rates.CONCLUSION Gamma analysis is a reliable method for patient-specific QA in head and neck radiotherapy.The incorporation of statistical process control adds a valuable layer of continuous monitoring,supports site-specific tolerance/AL,and strengthens treatment accuracy.展开更多
This study experimentally investigates the spatiotemporal dynamics and droplet statistics of impinging jet atomization under varying Weber numbers(We)and impact angles(2α),focusing on unstable rim regime and impact w...This study experimentally investigates the spatiotemporal dynamics and droplet statistics of impinging jet atomization under varying Weber numbers(We)and impact angles(2α),focusing on unstable rim regime and impact wave regime.High-speed imaging,combined with Proper Orthogonal Decomposition(POD),is employed to characterize the dynamic evolution and breakup behavior of the liquid sheet.Two distinct atomization mechanisms are identified:an unstable rim regime at low We(81.53-226.47),and an impact wave regime at higher We(326.12-579.77).POD spatial modes and their associated power spectral densities reveal that the rim breakup corresponds to low-frequency large-scale structures,whereas impact-wave-driven fragmentation exhibits high-frequency fluctuations.Droplet statistics show that diameters follow a log-normal distribution under the impact wave regime,while velocities exhibit a normal distribution across all regimes.The 2αsignificantly influences droplet velocity dispersion but has a limited effect on droplet size for impact wave.The droplet Reynolds number demonstrates a consistent scaling relationship with normalized diameter.An empirical model is developed to predict droplet sizes in the impact-wave-dominated regime,incorporating POD-derived disturbance wavelengths,breakup length,and ligament-to-droplet correlation.The model enables reliable estimation of mean droplet diameters based on injector geometry and flow parameters.These findings offer critical insights for the design and optimization of impinging jet atomizers in engineering applications such as aerospace propulsion,micro-reactors,and pharmaceutical sprays.展开更多
Meteor burst communication exploits transient meteor trails to enable beyond-line-of-sight transmission,where the inherently short-lived channel conditions impose stringent requirements on rapid and reliable signal-to...Meteor burst communication exploits transient meteor trails to enable beyond-line-of-sight transmission,where the inherently short-lived channel conditions impose stringent requirements on rapid and reliable signal-to-noise ratio estimation.This study proposes a novel pilotless SNR estimator founded on the two-sample order statistics method,which quantifies the distributional deviation between received signal amplitudes and pre-generated reference distributions without assuming a specific noise model.Comprehensive Monte Carlo simulations under BPSK,QPSK,and 16-QAM modulations in additive white Gaussian noise environments demonstrate that the proposed OS-based approach consistently surpasses the M2M4,M8,and Kolmogorov–Smirnov estimators in terms of estimation accuracy,normalized mean squared error,and success rate,with particularly notable gains in limited-sample scenarios.These results underscore the method’s robustness and adaptability for SNR estimation in MBC applications.展开更多
基金supported by a grant from the National Science and Technology Major Project(Grant No.2024ZD0519800).
摘要Both large-scale prospective randomized controlled trials(RCTs)and smaller investigator-initiated trials are essential for evaluating the efficacy and safety of medical interventions.Robust protocols and statistical designs ensure the reliability of trial outcomes and improve the credibility of research findings.By reviewing the statistical approaches used in the TORCHLIGHT,NCC2167,and NeoTENNIS trials,this article illustrates the principles underlying large-sample confirmatory RCTs,small-sample exploratory adaptive designs,and single-arm two-stage designs.This discussion is aimed at helping researchers apply these design methods more effectively,to increase the likelihood of success in clinical studies.
基金co-supported by the National Natural Science Foundation of China(Nos.92152301 and U2241249)the National Science and Technology Major Project,China(No.J2019-Ⅱ-0016-0037)。
摘要Blisks have been widely adopted in various aero-engines due to the advantages such as simple structure and low loss.However,influenced by machining errors,the geometric inconsistency of blisk blades is significant,leading to deviations in the compressor performance from the design and scatter increase.To accurately assess performance uncertainty effects of machining errors using uncertainty quantification methods,‘statistical characteristics of machining errors’as uncertainty quantification inputs are particularly critical.This study is the first to highlight measured machining errors'uncertainty analysis for blisks.Measured machining errors from the front,middle,and rear stages of multi-stage compressor blisks are analyzed regarding their systematic deviations and scatters along the radial direction,and probability distribution characteristics.The results show that due to differences in clamping and fixing methods,the statistical characteristics of machining errors for‘blisk'differ from those of‘single blade’.Additionally,variations in material properties and sizes of blades at different compressor stages lead to differences in the statistical characteristics of machining errors.For different sections,systematic deviations and scatters in machining errors are notably significant near the blade tip,making it challenging to ensure machining consistency.For different stages,machining errors of the rear stage blades are the most scattering.Compared with the design geometry,several phenomena observed in most blades,such as‘under deflection’,‘thicker pressure/suction surfaces’and‘larger leading-edge radius’,should be improved,owing to their adverse effects in compressors.Furthermore,probability distributions of machining errors exhibit characteristics such as‘skewness’,‘bimodality’,and‘data missing’,indicating that traditional normal distributions are insufficient for accurately characterizing the above distributions.The research results provide a clear demonstration of the machining capabilities of compressor blisks and offer data support for correctly constructing probability models of machining errors,thereby enabling accurate prediction of their performance uncertainty effects.
基金supported in part by the National Natural Science Foundation of China(62173321)in part by the Research Program of the Liaoning Liaohe Laboratory(LLL23ZZ-05-02)。
摘要The application of artificial neural network (ANN) models to achieve higher accuracy in industrial sensing has become a popular research topic in recent years. However, neural network models are purely data-driven multivariate “black-box” models, and the features extracted from the hidden layer have no actual physical meaning, making the performance of ANN-based sensing models unstable and difficult to practically apply at process industry sites. To address these challenges, this paper proposes a generalized ANN model called the partial least squares (PLS)-assisted optimization network (PLSaoNET). PLSaoNET employs the PLS model to assist in determining the initialization weights of the network and the number of hidden-layer neurons. The subsequent training serves as a reoptimization process guided by the PLS regression result, enabling the network to incorporate statistical constraints and thereby reducing its reliance on data. In addition, to address the problem of uneven distributions of sample labels at industrial sites, this paper designs a stratified sampling method for network retraining. The efficiency and superiority of the proposed method are verified via two industrial sensing applications: the monitoring of iron grade in iron ore concentrate slurry samples based on laser-induced breakdown spectroscopy (LIBS) data, and the assessment of the quality of diesel fuels based on near-infrared (NIR) spectroscopy data. In comparison with a PLS regression model and a Xavier initialization-based backpropagation neural network (BPNN) model, PLSaoNET exhibits the best modeling accuracy and generalization performance. This work designs a complete theoretical framework to guide the determination of hyperparameters and specify the solution paths of the network, thereby satisfying the triple requirements of accuracy, robustness, and ease of use in industrial processes. The proposed model holds great potential for improving the accuracy and reliability of industrial sensing in production processes.
基金partially supported by the Key Project of the Gansu Natural Science Foundation(Grant Nos.24JRRA226 and 23JRRA882)Lanzhou Youth Science and Technology Talent Innovation Project(Grant No.2024-QN-179)+3 种基金the Foundation for Innovative Fundamental Research Group Project of Gansu Province,China(Grant No.25JRRA805)the National Natural Science Foundation of China(Grant Nos.11602184 and 62463016)the Industrial Support and Guidance Project of Colleges and Universities of Gansu Province(Grant No.2024CYZC-23)Tianyou Youth Talent Lift Program of Lanzhou Jiaotong University。
摘要This study investigates stochastic resonance(SR)phenomena in bistable coupled networks driven by non-Gaussian noise.Employing signal-to-noise ratio(SNR)and statistical complexity as quantitative metrics,we characterize the SR behavior.First,the dimensionality of a coupled network system is reduced via the mean field theory.Subsequently,we derive closed-form analytical expressions of SNR by the path integral method,the slaving principle and the two-state model theory.Numerical simulations are used to validate the consistency between SR features identified through statistical complexity and those obtained via SNR calculations,thereby corroborating the reliability of our analytical framework.Both theoretical and numerical results conclusively demonstrate the occurrence of SR in the network system.Parametric analyses further elucidate the modulation of SR characteristics by three critical factors:non-Gaussian noise intensity parameters,noise correlation timescale and inter-node coupling strength.Finally,we explore the system's size resonance properties.
基金supported by the Beijing Natural Science Foundation(L241083)the National Natural Science Foundation of China(72595833,72595830,72293605,and 52006114).
摘要With the rapid expansion of cloud computing and large-scale artificial intelligence models,building accurate and transparent energy-use statistics for data centers has become a critical challenge for global energy systems and climate governance.Existing studies report strikingly divergent estimates of global data center electricity consumption,ranging from 196 to 1200 TW·h in 2020,a more than sixfold difference.Such discrepancies reveal profound uncertainties and structural deficiencies in current energy accounting frameworks.Conventional estimation approaches rely heavily on indirect assumptions,proxy indicators,or highly aggregated regional and national statistics,obscuring the true electricity demand of data centers.This lack of statistical transparency distorts energy and carbon accounting,weakens power system planning,and constrains the effective integration of renewable energy with rapidly growing computing demand.This paper highlights that data centers should be treated as a distinct and strategically important end-use energy sector.It emphasizes the need for grid-informed energy registration,enhanced artificial intelligence identification techniques to improve the accuracy and verifiability of energy statistics.Furthermore,the paper emphasizes that policymakers should establish coordinated policy frameworks,enforce standardized energy reporting,and design appropriate incentive mechanisms to encourage data centers to participate in demand response programs and electricity markets,thereby unlocking load flexibility and supporting a secure,low-carbon energy transition.
基金supported by the National Natural Science Foundation of China(Grant No.52204092).
摘要Principal stress plays a critical role in the deformation and failure process of rock or rock-like materials.However,existing studies indicate that the construction of a damage model based on principal stresses for describing the entire process of three-dimensional rock fracturing is subject to certain limitations and inadequacies.In this study,an innovative three-dimensional statistical damage constitutive model is developed by integrating the principal stress effect with the Gamma distribution function.This model effectively captures the complete damage evolution process of rock materials with initial defects through the introduction of a compaction correction coefficient and a residual strength correction term.Notably,the simulation accuracy is significantly enhanced in both the initial compaction stage and the post-peak residual strength stage.The parameter θ serves as an indicator of the material brittle-to-ductile transition,whereas the parameter k reflects the material's strength characteristics.The parameter calibration process consists of three steps:determining the θ value on the basis of the rock brittleness index,deriving the k parameter from the k value growth curve,and finally establishing the peak-residual strength prediction equation under given confining pressure conditions.Compared with the traditional statistical damage model based on the Weibull distribution,this model not only features clear physical significance and a simplified calculation procedure but also contributes to the advancement of the three-dimensional damage fracture theory system for rock mechanics.Moreover,it offers a robust framework for evaluating the mechanical response of rocks under varying confining pressures,which has significant implications for safe design and risk assessment in civil engineering or rock engineering.
基金Supported by National Natural Science Foundation of China (Grant No. 12301594)Science and Technology Research Program of Chongqing Municipal Education Commission (Grant Nos. KJQN202400509and KJQN202300555)+5 种基金Natural Science Foundation of Chongqing of China (Grant No. CSTB2025NSCGPX1033)Chongqing Normal University Foundation Project (Grant No. 23XLB013)Fundamental Research Funds of China West Normal University (Grant No. 25kc008)the Initiative Projects for Ph.D. in China West Normal University (Grant No. 25KE025)Young Doctor Fundation Program of Gansu Province (Grant No.2026QB-083)Research Project of Tianshui Normal University (Grant No. TDJ2023-02)。
摘要Under the optimal norming constants, this paper studies the higher-order expansions of the distributions and densities of the powered order statistics of Maxwell sequence. As auxiliary results, the corresponding convergence rates are obtained. The results show that the convergence rates of distributions and densities of normalized power order statistics are related to power index in principle. Finally, we compared the accuracy of each approximations with its true values through numerical experiments.
基金supported by the National Natural Science Foundation of China(Grant No.52339001).
摘要To investigate the damage evolution caused by stress-driven and sub-critical crack propagation within the Beishan granite under multi-creep triaxial compressive conditions,the distributed optical fiber sensing and X-ray computed tomography were combined to obtain the strain distribution over the sample surface and internal fractures of the samples.The Gini and skewness(G-S)coefficients were used to quantify strain localization during tests,where the Gini coefficient reflects the degree of clustering of elements with high strain values,i.e.,strain localization/delocalization.The strain localization-induced asymmetry of data distribution is quantified by the skewness coefficient.A precursor to granite failure is defined by the rapid and simultaneous increase of the G-S coefficients,which are calculated from strain increment,giving an earlier warning of failure by about 8%peak stress than those from absolute strain values.Moreover,the process of damage accumulation due to stress-driven crack propagation in Beishan granite is different at various confining pressures as the stress exceeds the crack initiation stress.Concretely,strain localization is continuous until brittle failure at higher confining pressure,while both strain localization and delocalization occur at lower confining pressure.Despite the different stress conditions,a similar statistical characteristic of strain localization during the creep stage is observed.The Gini coefficient increases,and the skewness coefficient decreases slightly as the creep stress is below 95%peak stress.When the accelerated strain localization begins,the Gini and skewness coefficients increase rapidly and simultaneously.
摘要This study surveyed 96 high school students via questionnaires,adopting descriptive statistics,correlation analysis,and theoretical frameworks(Uses and Gratifications,Theory of Planned Behavior)to explore social media’s influence on their consumption preferences and financial traits.Data was analyzed using MATLAB R2023b.Key findings:42.7%use social media 1–3 hours daily,with short-video platforms dominating(76.0%).Consumption follows a“basic needs+entertainment”pattern.Social media recommendations(61.5%)and peer interaction(52.1%)strongly shape decisions.Monthly spending is right-skewed(skewness=1.68,mean=847 yuan,median=750,SD=282).Daily usage time correlates moderately with spending(r=0.56,P<0.01).Social media guides consumption via algorithmic pushes,influencer marketing,and peer comparison,contributing to irrational consumption and low financial literacy.Targeted suggestions are provided for schools,families,society,and individuals to foster rational consumption and improve financial literacy.
基金National Natural Science Foundation of China,4216303,xingxing caoGuizhou Provincial Basic Research Program(Natural Science),No.QianKeHeJiChu-ZK[2024]YiBan105,xingxing cao+1 种基金Project of Science and Technology Department of Guizhou Province,GCC[2023]045,Pan WuProject of Talent Base in Guizhou Province,No.RCJD2018-21,Pan Wu。
摘要Karst water serves as a crucial source of water supply in many regions worldwide,yet it remains environmentally sensitive and highly vulnerable to pollution,especially from mining activities.Understanding the spatial-temporal variations in water quality and identifying the key geochemical processes in mining-impacted karst rivers are essential for ensuring regional water security and effective environmental management.This study undertakes a karst river affected by acid mine drainage(AMD),where typical mining activities generated wastewater,using a combination of Integrated Pollution Index(P),irrigation suitability assessment,health risk assessment,and multivariate statistical analysis to elucidate the impact of mining on water quality dynamics.The results show that seasonal variation of P and irrigation suitability follows the trend:dry season>flat season>wet season,but health risk assessments did not show significant differences in time.Spatially,streams influenced by upstream AMD exhibited higher P and lower irrigation suitability,indicating poor water quality unsuitable for both drinking and agricultural use.In contrast,downstream water quality improved due to dilution processes.Health risk assessments identified Mn as the primary non-carcinogenic risk factor in the study area.Multivariate statistical analysis revealed that water quality variations were predominantly controlled by pH,TN,NH3-N,SO42-,Ca2+,Mg2+,and heavy metals,all of which are closely associated with enhanced mineral weathering impacted by mining activities.These findings provide a scientific basis for targeted environmental policy-making and sustainable management strategies aimed at protecting the ecological integrity of karst river systems under mining pressure.
基金supported in part by the National Key Research and Development Program of China under Grant 2022YFB3104500in part by the China Postdoctoral Science Foundation under Grants 2023M732835+1 种基金in part by the Qinchuangyuan Innovation and Entrepreneurship Talent Project of Shaanxi under Grant QCYRCXM-2023172in part by the National Natural Science Foundation of China under Grant 62471382.
摘要Improving the energy efficiency of information transmission is very critical to the development of future Internet of Things(IoT).Considering the sporadic characteristics for IoT transmissions,the energy consumption of a specific transmission session significantly varies with channel condition and Quality of Service(QoS)requirements.In this study,we focus on the analysis and optimization for wireless relaying communications'statistical energy consumption.Particularly,we investigate a wirelessly-powered DF relaying communication system.Under Time Switching(TS)and Power Splitting(PS)modes,we analyze and minimize the statistical energy consumption of transmitting a fixed amount of data using mathematical analysis.Through showing some selected numerical examples,we discuss various design tradeoffs.These results will provide some important guidelines for the design of green IoT communication systems.
基金Supported by the National Natural Science Foundation of China:82204610the Scientific and Technological Innovation Project of the China Academy of Chinese Medical Sciences:CI2021A04013+1 种基金the Qihang Talent Program:L2022046the Fundamental Research Funds for the Central Public Welfare Research Institutes:ZZ15-YQ-041 and L2021029。
摘要Background Traditional Chinese Medicine(TCM),with over 5000 years of empirical practice,increasingly employs modern scientific frameworks such as randomized controlled trials(RCTs)to validate therapeutic claims,yet its research reliability hinges critically on robust statistical rigor.Methods By systematically analyzing articles from Phytomedicine and Journal of Ethnopharmacology,this study evaluates statistical methodologies in TCM research,focusing on the adoption of advanced analytical techniques(e.g.,multivariate modeling)versus reliance on basic methods(e.g.,ANOVA)and identifies reporting gaps in trial design(e.g.,sample size estimation).Results Key findings indicate that foundational statistical methods,such as one-way ANOVA,were predominantly used(83.4%of articles),whereas more advanced approaches appeared in only 34.6%of studies.However,methodological rigor should not be equated with statistical complexity.The selection of analytical techniques must be driven by the research objectives,data structure,study design,and the complexity of the scientific questions under investigation.Advanced methods are not inherently superior;rather,the most appropriate approach is the one that is methodologically justified and aligned with underlying assumptions.Notably,substantial deficiencies in trial design and reporting were observed.A striking 81.5%of studies lacked pre-specified power calculations or sample size justifications,raising concerns about statistical validity.Reporting transparency was similarly limited:48.3%of articles did not adequately describe statistical procedures,and 69.8%failed to provide confidence intervals for primary effect estimates.Collectively,these limitations increase the risk of biased interpretation and undermine the robustness,reproducibility,and credibility of the findings.Conclusion Strengthening statistical rigor—through improved trial design transparency and adoption of advanced methods—is essential to enhance the credibility of TCM research,mitigate biases,and foster its integration into evidence-based medicine,ultimately ensuring clinically meaningful and actionable therapeutic insights.
基金supported by the National Natural Science Foundation of China(grant No.12393811)the National Key R&D Program of China(grant No.2023YFA1608100)+4 种基金the Strategic Priority Research Program of the Chinese Academy of Science(grant No.XDB0550300)support from the Japan Society for the Promotion of Science(JSPS)KAKENHI grants JP22K14069support from the JSPS KAKENHI grant JP24KK0070 and 24H01810support from the JSPS bilateral JPJSBP120229923financial support from AGAUR,CSIC,MCIN,and AEI 10.13039/501100011033 under projects PID2023151307NB-I00,PIE 20215AT016,CEX2020-001058-M,ILINK23001,COOPB2304,and 2021-SGR-01270。
摘要In this paper,we present 16 early-phase type Ia supernovae(SNe Ia)discovered during the pilot survey of the 2.5 mr Wide Field Survey Telescope(WFST-PS)from 2024 March 4 to July 10 including three SNe Ia with early-excess emission features(EEx SNe Ia).The discovery magnitude of the 16 WFST-PS early-phase SNe is at least 3 mag fainter than their peak brightness.A large scatter of color indices is found in approximately the first 10 days of supernova explosions,indicating diverse photometric behaviors in the early phase.Three EEx SNe Ia show relatively brighter peak luminosities and longer rise time compared to those of non-EEx SNe Ia.The results indicate that current theoretical models require further refinement to fully capture the early photometric evolution of SNe Ia.Based on the initial highcadence ugr-band data from the WFST-PS survey,we emphasize that early near-ultraviolet(NUV)observations are indispensable for placing tight constraints on the explosion mechanisms and progenitor systems of SNe Ia.
基金funded by Vietnam National University Ho Chi Minh City(VNU-HCM)under grant number DS.C2025-28-06.
摘要Vaginal delivery is a fascinating physiological process,but also a high-risk process.Up to 85%–90%of vaginal deliveries lead to perineal trauma,with nearly 11%of severe perineal tearing.It is a common occurrence,especially for first-time mothers.Computational childbirth plays an essential role in the prediction and prevention of these traumas,but fast personalization of the pelvis and floor muscles is challenging due to their anatomical complexity.This study introduces a novel shape-prediction-based personalization of the pelvis and floor muscles for perineal tearing management and childbirth simulation.300 subjects were selected from public Computed Tomography(CT)databases.The pelvic bone nmjmeshes were generated using a coarse-to-fine non-rigid mesh alignment procedure.The floor muscle meshes were personalized using the bone mesh deformation information.A feature-to-pelvic structure reconstruction pipeline was proposed,incorporating various strategies.Ten-fold cross-validation helped determine the optimal reconstruction strategy,regression method,and feature sizes.The mesh-to-mesh distance metric was employed for evaluating.The statistical shape relation-based strategy,coupled with multi-output ridge regression,was the optimal approach for pelvic structure reconstruction.With a feature set ranging from 3 to 38,the mean errors were 2.672 to 1.613 mm,and 3.237 to 1.415 mm in muscle attachment regions.The best-and worst-case predictions had errors of 1.227±0.959 mm and 2.900±2.309 mm,respectively.This study provides a novel approach to achieving fast personalized childbirth modeling and simulation for perineal tearing management.
基金supported by the NSFC(12171082)the Fundamental Research Funds for the Central Universities(2232023G-13,2232024G-13)supported by the China Scholarship Council(202406630058).
摘要In this paper,we investigate the existence and degenerate regularity of trajectory statistical solutions for the three-dimensional Boussinesq system with damping.We first establish that the existence of trajectory attractor holds,then we use it and natural translation semigroup to construct the trajectory statistical solutions in the trajectory space.Furthermore,we demonstrate that when the Grashof number related to the system remains sufficiently small,the trajectory statistical solution exhibits degenerate regularity.
基金the financial support from the National Oil&Gas Major Project(2025ZD1406207)the National Natural Science Foundation of China(Nos.22473114,U23B2087)the Shandong Provincial Natural Science Foundation of China(ZR2023MB034)。
摘要Foams stabilized by surfactants play a pivotal role in in-dustry,daily life,and fundamental re-search.However,the molecular mech-anisms governing foam stability,par-ticularly the inter-play between surfac-tant structure and interfacial behavior,remain incomplete-ly understood.Us-ing molecular dy-namics combined with advanced statistical analyses,we systematically explored the effects of alkyl trimethyl ammonium bromide(CnTAB)surfactants on the stability of foam film across a range of chain lengths and coverages.Our approach incorporated parallel simulations to ensure ro-bust evaluation of fluctuating properties and employed methods such as sigmoid fitting and kernel density estimation to extract detailed insights into interfacial characteristics.The re-sults reveal that increasing surfactant coverage significantly reduces interfacial tension via enhanced molecular packing,while chain length primarily influences structural properties,such as Gibbs dividing surface thickness and molecular orientation.Longer chains,particu-larly at high coverage,promote denser packing and resist penetration into the aqueous phase due to steric hindrance and hydrophobic interactions.These findings provide a molecular-level understanding of surfactant-stabilized interfaces and establish a robust framework for analyzing interfacial systems,offering insights for optimizing foam formula-tions in industrial applications.
基金supported by the National Natural Science Foundation of China(Grant Nos.11775100,12247101,11961131009)the Fundamental Research Funds for the Central Universities(Grant No.lzujbky-2025-jdzx07)+2 种基金the Natural Science Foundation of Gansu Province(Grant Nos.22JR5RA389 and 25JRRA799)the‘111 Center’under Grant No.B20063financial support from the China Scholarship Council(Grant No.CSC-202306180087)。
摘要We numerically study three-dimensional acoustic cavities with progressively increasing geometric complexity and analyze their spectral and spatial statistics.The eigenfrequency spectra and adjacent level-spacing ratios reveal a clear transition from Poisson to Gaussian orthogonal ensemble(GOE)statistics as the cavity structure becomes more irregular.The intermediate regimes are quantitatively characterized using the Berry–Robnik(BR)and Brody distributions,which yield consistent estimates of the chaotic fraction.Furthermore,both the participation ratio and long-range spectral correlations confirm the continuous evolution from integrable to chaotic dynamics.The distributions of normalized wavefunction amplitudes gradually approach the Gaussian prediction,indicating the onset of wave chaos.These results demonstrate that three-dimensional acoustic resonators provide a numerically controllable and experimentally accessible platform for studying the universal transition from Poisson to GOE statistics and for exploring the interplay between geometry and wave chaos.
摘要BACKGROUND Patient-specific quality assurance(QA)is an essential component in the safe and precise delivery of radiotherapy,particularly in head and neck cancer cases where anatomical complexity and proximity to critical structures increase the risk of delivery deviations.As treatment techniques become more conformal and modulated,conventional gamma analysis often lacks sensitivity to subtle variations,necessitating advanced statistical tools to verify the accuracy of dose delivery.AIM To assess patient-specific QA performance,dosimetric accuracy,and long-term consistency using gamma analysis with statistical process control methods.METHODS A retrospective analysis of intensity-modulated radiation therapy and volumetric modulated arc therapy head and neck treatment plans was performed using electronic portal imaging device-based gamma pass rates under global criteria.Individual and Moving Range charts were generated to assess QA stability and detect trends.Initial control limits were derived from 20 QA plans and validated on 350 QA plans.Tolerance limits(TL)and action limits(AL)were calculated.The resulting charts offered a robust framework for monitoring QA performance and identifying deviations.RESULTS The central line values decreased progressively with stricter gamma criteria,from 98.835%(3%/3 mm)to 94.4%(2%/2 mm).TL and AL narrowed correspondingly,with TL dropping from 97.869%to 93.672%.Exponentially Weighted Moving Average charts provided smoother detection of persistent small deviations compared to Individual and Moving Range charts,enhancing sensitivity.Across all criteria,QA processes remained statistically stable,although tighter thresholds reduced pass rates.CONCLUSION Gamma analysis is a reliable method for patient-specific QA in head and neck radiotherapy.The incorporation of statistical process control adds a valuable layer of continuous monitoring,supports site-specific tolerance/AL,and strengthens treatment accuracy.
基金partly supported by the National Natural Science Foundation of China(Nos.U23B6009 and 12272050)。
摘要This study experimentally investigates the spatiotemporal dynamics and droplet statistics of impinging jet atomization under varying Weber numbers(We)and impact angles(2α),focusing on unstable rim regime and impact wave regime.High-speed imaging,combined with Proper Orthogonal Decomposition(POD),is employed to characterize the dynamic evolution and breakup behavior of the liquid sheet.Two distinct atomization mechanisms are identified:an unstable rim regime at low We(81.53-226.47),and an impact wave regime at higher We(326.12-579.77).POD spatial modes and their associated power spectral densities reveal that the rim breakup corresponds to low-frequency large-scale structures,whereas impact-wave-driven fragmentation exhibits high-frequency fluctuations.Droplet statistics show that diameters follow a log-normal distribution under the impact wave regime,while velocities exhibit a normal distribution across all regimes.The 2αsignificantly influences droplet velocity dispersion but has a limited effect on droplet size for impact wave.The droplet Reynolds number demonstrates a consistent scaling relationship with normalized diameter.An empirical model is developed to predict droplet sizes in the impact-wave-dominated regime,incorporating POD-derived disturbance wavelengths,breakup length,and ligament-to-droplet correlation.The model enables reliable estimation of mean droplet diameters based on injector geometry and flow parameters.These findings offer critical insights for the design and optimization of impinging jet atomizers in engineering applications such as aerospace propulsion,micro-reactors,and pharmaceutical sprays.
摘要Meteor burst communication exploits transient meteor trails to enable beyond-line-of-sight transmission,where the inherently short-lived channel conditions impose stringent requirements on rapid and reliable signal-to-noise ratio estimation.This study proposes a novel pilotless SNR estimator founded on the two-sample order statistics method,which quantifies the distributional deviation between received signal amplitudes and pre-generated reference distributions without assuming a specific noise model.Comprehensive Monte Carlo simulations under BPSK,QPSK,and 16-QAM modulations in additive white Gaussian noise environments demonstrate that the proposed OS-based approach consistently surpasses the M2M4,M8,and Kolmogorov–Smirnov estimators in terms of estimation accuracy,normalized mean squared error,and success rate,with particularly notable gains in limited-sample scenarios.These results underscore the method’s robustness and adaptability for SNR estimation in MBC applications.