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Accuracy allocation method for five-axis machine tools based on geometric error cost sensitivity prioritizing tool direction deviation 被引量:1
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作者 Xiaojian LIU Ao JIAO +7 位作者 Yang WANG Guodong YI Xiangyu GAO Xiaochen ZHANG Yiming ZHANG Yangjian JI Shuyou ZHANG Jianrong TAN 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 2025年第7期635-651,共17页
Accuracy allocation is crucial in the accuracy design of machining tools.Current accuracy allocation methods primarily focus on positional deviation,with little consideration for tool direction deviation.To address th... Accuracy allocation is crucial in the accuracy design of machining tools.Current accuracy allocation methods primarily focus on positional deviation,with little consideration for tool direction deviation.To address this issue,we propose a geometric error cost sensitivity-based accuracy allocation method for five-axis machine tools.A geometric error model consisting of 4l error components is constructed based on homogeneous transformation matrices.Volumetric points with positional and tool direction deviations are randomly sampled to evaluate the accuracy of the machine tool.The sensitivity of each error component at these sampling points is analyzed using the Sobol method.To balance the needs of geometric precision and manufacturing cost,a geometric error cost sensitivity function is developed to estimate the required cost.By allocating error components affecting tool direction deviation first and the remaining components second,this allocation scheme ensures that both deviations meet the requirements.We also perform numerical simulation of a BC-type(B-axis and C-axis type)five-axis machine tool to validate the method.The results show that the new allocation scheme reduces the total geometric error cost by 27.8%compared to a uniform allocation scheme,and yields the same positional and tool direction machining accuracies. 展开更多
关键词 Five-axis machine tool Accuracy allocation Geometric error modeling Error cost sensitivity Tool direction deviation priority
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Online Optimization to Suppress the Grid-Injected Power Deviation of Wind Farms with Battery-Hydrogen Hybrid Energy Storage Systems 被引量:1
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作者 Min Liu Qiliang Wu +4 位作者 Zhixin Li Bo Zhao Leiqi Zhang Junhui Li Xingxu Zhu 《Energy Engineering》 2025年第4期1403-1424,共22页
To address the issue of coordinated control of multiple hydrogen and battery storage units to suppress the grid-injected power deviation of wind farms,an online optimization strategy for Battery-hydrogen hybrid energy... To address the issue of coordinated control of multiple hydrogen and battery storage units to suppress the grid-injected power deviation of wind farms,an online optimization strategy for Battery-hydrogen hybrid energy storage systems based on measurement feedback is proposed.First,considering the high charge/discharge losses of hydrogen storage and the low energy density of battery storage,an operational optimization objective is established to enable adaptive energy adjustment in the Battery-hydrogen hybrid energy storage system.Next,an online optimization model minimizing the operational cost of the hybrid system is constructed to suppress grid-injected power deviations with satisfying the operational constraints of hydrogen storage and batteries.Finally,utilizing the online measurement of the energy states of hydrogen storage and batteries,an online optimization strategy based on measurement feedback is designed.Case study results show:before and after smoothing the fluctuations in wind power,the time when the power exceeded the upper and lower limits of the grid-injected power accounted for 24.1%and 1.45%of the total time,respectively,the proposed strategy can effectively keep the grid-injected power deviations of wind farms within the allowable range.Hydrogen storage and batteries respectively undertake long-term and short-term charge/discharge tasks,effectively reducing charge/discharge losses of the Battery-hydrogen hybrid energy storage systems and improving its operational efficiency. 展开更多
关键词 Battery-hydrogen hybrid energy storage systems grid-injected power deviations measurement feedback online optimization energy states
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Large Deviations for Fractional Stochastic Heat Equation with Gaussian Noise Rough in Space
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作者 WANG Zhi LIU Junfeng 《数学进展》 北大核心 2025年第6期1368-1392,共25页
In this paper we study the Freidlin-Wentzell's large deviation principle for the following nonlinear fractional stochastic heat equation driven by Gaussian noise∂/∂tu^(ε)=D_(δ)^(α)(t,x)+√εσ(u^(ε)(t,x))W(t,x... In this paper we study the Freidlin-Wentzell's large deviation principle for the following nonlinear fractional stochastic heat equation driven by Gaussian noise∂/∂tu^(ε)=D_(δ)^(α)(t,x)+√εσ(u^(ε)(t,x))W(t,x),(t,x)∈[0,T]×R,where D_(δ)^(α)is a nonlocal fractional differential operator and W is the Gaussian noise which is white in time and behaves as a fractional Brownian motion with Hurst index H satisfying 3-α/4<H<1/2,in the space variable.The weak convergence approach plays an important role. 展开更多
关键词 fractional stochastic heat equation fractional Brownian motion large deviation principle weak convergence
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Diagnostic Method for Load Deviation in Ultra-Supercritical Units Based on MLNaNBDOS
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作者 Mingzhu Tang YujieHuang +1 位作者 Dongxu Ji Hao Yu 《Frontiers in Heat and Mass Transfer》 2025年第1期95-129,共35页
Load deviations between the output of ultra-supercritical(USC)coal-fired power units and automatic generation control(AGC)commands can adversely affect the safe and stable operation of these units and grid load dispat... Load deviations between the output of ultra-supercritical(USC)coal-fired power units and automatic generation control(AGC)commands can adversely affect the safe and stable operation of these units and grid load dispatching.Data-driven diagnostic methods often fail to account for the imbalanced distribution of data samples,leading to reduced classification performance in diagnosing load deviations in USC units.To address the class imbalance issue in USC load deviation datasets,this study proposes a diagnostic method based on the multi-label natural neighbor boundary oversampling technique(MLNaNBDOS).The method is articulated in three phases.Initially,the traditional binary oversampling strategy is improved by constructing a binary multi-label relationship for the load deviations in coal-fired units.Subsequently,an adaptive adjustment of the oversampling factor is implemented to determine the oversampling weight for each sample class.Finally,the generation of new instances is refined by dynamically evaluating the similarity between new cases and natural neighbors through a random factor,ensuring precise control over the instance generation process.In comparisons with nine benchmark methods across three imbalanced USC load deviation datasets,the proposed method demonstrates superior performance on several key evaluation metrics,including Micro-F1,Micro-G-mean,and Hamming Loss,with average values of 0.8497,0.9150,and 0.1503,respectively.These results substantiate the effectiveness of the proposed method in accurately diagnosing the sources of load deviations in USC units. 展开更多
关键词 Ultra-supercritical units load deviation multi-label learning class imbalance data oversampling
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Angular deviations and influential factors of Burgers orientation relationship duringβ→αphase transformation in titanium alloys
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作者 Ming-bing LI Kai WANG +6 位作者 Bin WANG Chao LV Xin-nan WANG Xing LI Zhi-shou ZHU Hui-long HOU Xin-qing ZHAO 《Transactions of Nonferrous Metals Society of China》 2025年第9期2903-2917,共15页
The angular deviations and influential factors of Burgers orientation relationship(BOR)in Ti-6Al-4V and Ti-6.5Al-2Zr-1Mo-1V alloys were investigated by optical microscope(OM),scanning electron microscope(SEM),electron... The angular deviations and influential factors of Burgers orientation relationship(BOR)in Ti-6Al-4V and Ti-6.5Al-2Zr-1Mo-1V alloys were investigated by optical microscope(OM),scanning electron microscope(SEM),electron backscattered diffraction(EBSD)and high-angle annular dark-field scanning transmission electron microscope(HAADF-STEM).A spherical center angle model was introduced to calculate the angular deviations from the ideal BOR between α and β phases.The results indicate thatαand β phases in α colonies of both alloys do not follow the perfect BOR during β→α phase transformation,with angular deviation values less than 3°.Through detailed microstructure characterization,the broad face of α/β interfaces viewed along two different electron incident directions shows the atomic-scale terrace-ledge structure,and many dislocations are observed within α and β phases and near α/β interfaces.Further studies reveal that the angular deviations mainly originate from lattice distortions caused by dislocations in α and β phases and lattice mismatches at α/β interfaces. 展开更多
关键词 titanium alloy Burgers orientation relationship angular deviation α/βinterface DISLOCATION lattice distortion
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Low-computational time and accurate classification of flow regimes in bubble columns for aquaculture aeration using probability density functions of bubble velocity standard deviation
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作者 Natee Thong-Un Wongsakorn Wongsaroj +2 位作者 Jirayut Hansot Weerachon Treenuson Hiroshige Kikura 《Theoretical & Applied Mechanics Letters》 2025年第5期469-478,共10页
This study explores the combination of ultrasound technology with a detection algorithm to categorize flow regimes in bubble columns used for aeration in aquaculture.An ultrasonic velocity profiler is used to obtain t... This study explores the combination of ultrasound technology with a detection algorithm to categorize flow regimes in bubble columns used for aeration in aquaculture.An ultrasonic velocity profiler is used to obtain the standard deviation of the bubble velocity distributed throughout the column.The bubble velocity data for three known flow regimes were used to develop a probability density function(PDF)classification model.The experimental apparatus consisted of a circular tank equipped with a bubble generator and gas hold-up monitoring systems.The flow regimes of the experimental fluid were determined,and the classification was conducted via the PDF method.The results demonstrate that the classification accuracy is not lower than that of traditional machine learning methods. 展开更多
关键词 Aquaculture aeration Bubble column Bubble velocity standard deviation Flow regime Ultrasonic velocity profiler
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Moonward deviation of the solar wind
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作者 Chao Wei Hui Zhang +3 位作者 QuanMing Lu JunYi Ren XiaoWei Ma RunZe Li 《Earth and Planetary Physics》 2025年第6期1157-1162,共6页
The solar wind's interaction with the Moon has traditionally been understood through the Moon's absorption of solar wind particles and the formation of a plasma cavity on its nightside,known as the lunar wake.... The solar wind's interaction with the Moon has traditionally been understood through the Moon's absorption of solar wind particles and the formation of a plasma cavity on its nightside,known as the lunar wake.This study reveals unexpected,large-scale perturbations in the solar wind upstream of the Moon,using 11 years of data from the OMNI and ARTEMIS(Acceleration,Reconnection,Turbulence and Electrodynamics of Moon's Interaction with the Sun)missions(2012-2023).We find systematic moonward deviations of~tens of km/s in a direction perpendicular to the solar wind(moonward),at altitudes of up to 1000 km,particularly when the interplanetary magnetic field(IMF)lines are oblique to the solar wind(30°<θ<60°)and connected to the lunar dayside.The longer the duration of the interaction,the greater the moonward deviation.These perturbations can be explained by neither solar wind pickup of the reflected ions,nor lunar wake dynamics.Instead,they appear to correlate with magnetic connectivity between the ARTEMIS probes and the lunar surface,suggesting a more complex solar wind interaction than previously thought. 展开更多
关键词 plasma-moon interaction moonward deviation IMF connectivity lunar upstream perturbations
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Refractive error and angle of deviation in basic esotropia versus exotropia:a comparative study
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作者 Babak Masoomian Mohammad Reza Akbari +4 位作者 Arash Mirmohammadsadeghi Sajida Madeeh Fadhl Ali Majdi Kimia Daneshvar Masoud Khorrami-Nejad 《International Journal of Ophthalmology(English edition)》 2025年第12期2339-2344,共6页
AIM:To compare refractive error and angle of deviation in patients with basic esotropia and basic exotropia.METHODS:A retrospective review was conducted on the medical records of patients with basic-type strabismus.De... AIM:To compare refractive error and angle of deviation in patients with basic esotropia and basic exotropia.METHODS:A retrospective review was conducted on the medical records of patients with basic-type strabismus.Demographic data,refractive error,best-corrected distance visual acuity(BCVA),and the horizontal and vertical angle of deviation between basic esotropia and exotropia patients were compared.RESULTS:Among the 7129 patients(mean age 22.98±14.81y)evaluated,44.7%(3185 cases,54.9%male)exhibited basic-type esotropia,while 55.3%(3944 cases,53.9%male)presented with basic-type exotropia.Basic esotropia cases exhibited more hyperopic spherical equivalent measurements in both eyes(right:0.53±3.07 vs left:0.56±2.98 D)than those with basic exotropia(right eye:-0.33±2.84 vs left eye:-0.24±2.68 D,P<0.001 for both eyes).Patients with basic esotropia had significantly greater horizontal deviation angles(near:36.08±18.87 PD and far:35.56±18.75 PD)compared to those with basic exotropia(near:33.75±16.11 PD and far:33.26±15.90 PD,P<0.001).Conversely,patients with basic exotropia had slightly higher vertical deviation angles(near:1.67±5.80 PD and far:1.72±5.89 PD)compared to those with basic esotropia(near:1.12±4.57 PD and far:1.12±4.58 PD,P<0.001).Patients with basic esotropia underwent surgical intervention at younger ages compared to basic exotropia individuals(19.68±15.99 vs 25.66±13.20,P<0.001).CONCLUSION:Basic esotropia patients present more hyperopic refractive errors,better visual acuity,larger horizontal yet smaller vertical ocular misalignments,and tend to undergo strabismus surgery at younger ages relative to basic exotropia cases. 展开更多
关键词 basic esotropia basic exotropia refractive error angle of deviation
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Radial artery deviation and reimplantation technique vs classical technique in arterio-venous fistula:A randomised control trial
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作者 Shakti S Sarangi Shashank Kumar +4 位作者 Deepak P Bhirud Mahendra Singh Shiv C Navriya Gautam Ram Choudhary Arjun Singh Sandhu 《World Journal of Nephrology》 2025年第2期139-146,共8页
BACKGROUND Surgically created arterio-venous fistulas(AVFs)are the gold standard for haemodialysis access for patients with end-stage renal disease.Standard practice of AVF creation involves selecting the non-dominant... BACKGROUND Surgically created arterio-venous fistulas(AVFs)are the gold standard for haemodialysis access for patients with end-stage renal disease.Standard practice of AVF creation involves selecting the non-dominant upper limb and starting with most distally with radio-cephalic arterio-venous fistula.The primary patency rate of radio-cephalic arterio-venous fistula varies from 20%-25%.It has been suggested the neointimal hyperplasia at the mobilized venous segment causes stenosis of the anastomosis.Therefore,the radial artery deviation and reimplantation(RADAR)technique,in which the vein is minimally mobilized,should result in a higher success rate.AIM To compare the RADAR technique with classical technique in creation of AVF including:(1)Success rate;(2)Time to maturation;(3)Duration of surgery;and(4)Complication rate.METHODS In our study we recruited 94 patients in two randomized groups and performed the AVF by the classical method or the RADAR method.RESULTS The RADAR group had higher primary success rate(P=0.007),less rate of complications(P=0.04),shorter duration of surgery(P=0.00)and early time to maturation(0.001)when compared with the classical group.The RADAR procedure is a safe and a more efficient alternative to the current classical method of AVF creation.Longer duration of follow-up is required to assess the long-term outcomes in the future.CONCLUSION The RADAR procedure is a safe and more efficient alternative to the current classical method of AVF creation.Longer duration of follow-up is required to assess the long-term outcomes in the future. 展开更多
关键词 Radial artery deviation and reimplantation technique Classical technique Arterio-venous fistula Arterio-venous fistula trial Dialysis fistula Chronic kidney disease
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Total Station-Reflective Target Pier Deviation Measurement Error Control
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作者 Shi’ao Shi Ming Kou +2 位作者 Yuting Cheng Zhenbang Lu Zihao Peng 《Journal of World Architecture》 2025年第2期92-97,共6页
In bridge engineering,monitoring pier offsets is crucial for ensuring both structural safety and construction quality.The total station measurement method using a reflector is widely employed,offering significant adva... In bridge engineering,monitoring pier offsets is crucial for ensuring both structural safety and construction quality.The total station measurement method using a reflector is widely employed,offering significant advantages in specific scenarios.During measurements,errors are influenced by various factors.Initially,misalignment causes the lateral relative error to increase before decreasing,while longitudinal relative errors fluctuate due to instrument characteristics and operational factors.Lateral movements have a more pronounced impact on these errors.Investigating the positioning layout of pier offsets holds substantial importance as it enables precise displacement monitoring,prevents accidents,aids in maintenance planning,provides valuable references for design and construction,and enhances the pier’s resistance to deflection.Controlling and correcting subsequent errors is essential to ensure the overall safety of the bridge structure. 展开更多
关键词 REFLECTOR Total station Pier deviation measuring point Error analysis
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Moderate Deviations for the Optimal Values of Sample Average Approximation with Adaptive Multiple Importance Sampling
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作者 Wenjin ZHANG 《Journal of Mathematical Research with Applications》 2025年第2期275-284,共10页
In this paper, we use sample average approximation with adaptive multiple importance sampling to explore moderate deviations for the optimal values. Utilizing the moderate deviation principle for martingale difference... In this paper, we use sample average approximation with adaptive multiple importance sampling to explore moderate deviations for the optimal values. Utilizing the moderate deviation principle for martingale differences and an appropriate Delta method, we establish a moderate deviation principle for the optimal value. Moreover, for a functional form of stochastic programming, we obtain a functional moderate deviation principle for its optimal value. 展开更多
关键词 adaptive multiple importance sampling martingale difference moderate deviation
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ASYMPTOTICS OF LARGE DEVIATIONS OF FINITE DIFFERENCE METHOD FOR STOCHASTIC CAHN-HILLIARD EQUATION
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作者 Diancong JIN Derui SHENG 《Acta Mathematica Scientia》 2025年第3期1078-1106,共29页
In this work, we first derive the one-point large deviations principle (LDP) for both the stochastic Cahn–Hilliard equation with small noise and its spatial finite difference method (FDM). Then, we focus on giving th... In this work, we first derive the one-point large deviations principle (LDP) for both the stochastic Cahn–Hilliard equation with small noise and its spatial finite difference method (FDM). Then, we focus on giving the convergence of the one-point large deviations rate function (LDRF) of the spatial FDM, which is about the asymptotical limit of a parametric variational problem. The main idea for proving the convergence of the LDRF of the spatial FDM is via the Γ-convergence of objective functions. This relies on the qualitative analysis of skeleton equations of the original equation and the numerical method. In order to overcome the difficulty that the drift coefficient is not one-sided Lipschitz continuous, we derive the equivalent characterization of the skeleton equation of the spatial FDM and the discrete interpolation inequality to obtain the uniform boundedness of the solution to the underlying skeleton equation. These play important roles in deriving the T-convergence of objective functions. 展开更多
关键词 large deviations rate function finite difference method convergence analysis F-convergence stochastic Cahn-Hilliard equation
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IMPROVED FOURIER ALGORITHM FOR CORRECTING POWER SYSTEM FREQUENCY DEVIATION 被引量:1
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作者 姜惠兰 杨维 +2 位作者 徐建强 刘梅 仇晓锋 《Transactions of Tianjin University》 EI CAS 2001年第3期192-196,共5页
On the basis of high precision requirement for input signals in the power system protection and control system,this paper,only for the influence of power system frequency deviation on extracting fundamental harmonic,s... On the basis of high precision requirement for input signals in the power system protection and control system,this paper,only for the influence of power system frequency deviation on extracting fundamental harmonic,studies the amplitude error of Fourier algorithm,presents a method of correcting frequency deviation,and further derives the formulas of improved Fourier algorithm.The simulation results verified the effectiveness of the algorithm,it not only can greatly weaken the influence of frequency deviation,but also increase the precision of the power system protection and control.As a result the study in this paper has practical application value. 展开更多
关键词 power system protection and control frequency deviation Fourier algorithm
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LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR m-NEGATIVELY ASSOCIATED RANDOM VARIABLES 被引量:8
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作者 胡亦钧 明瑞星 杨文权 《Acta Mathematica Scientia》 SCIE CSCD 2007年第4期886-896,共11页
M-negatively associated random variables, which generalizes the classical one of negatively associated random variables and includes m-dependent sequences as its particular case, are introduced and studied. Large devi... M-negatively associated random variables, which generalizes the classical one of negatively associated random variables and includes m-dependent sequences as its particular case, are introduced and studied. Large deviation principles and moderate deviation upper bounds for stationary m-negatively associated random variables are proved. Kolmogorov-type and Marcinkiewicz-type strong laws of large numbers as well as the three series theorem for m-negatively associated random variables are also given. 展开更多
关键词 negatively associated random variables stationary sequence strong law of large numbers large deviations moderate deviations
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MODERATE DEVIATIONS AND LARGEDE VIATIONS FOR A TEST OF SYMMETRY BASED ON KERNEL DENSITY ESTIMATOR 被引量:5
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作者 何晓霞 高付清 《Acta Mathematica Scientia》 SCIE CSCD 2008年第3期665-674,共10页
Let fn be a non-parametric kernel density estimator based on a kernel function K. and a sequence of independent and identically distributed random variables taking values in R. The goal of this article is to prove mod... Let fn be a non-parametric kernel density estimator based on a kernel function K. and a sequence of independent and identically distributed random variables taking values in R. The goal of this article is to prove moderate deviations and large deviations for the statistic sup |fn(x) - fn(-x) |. 展开更多
关键词 Symmetry test kernel estimator moderate deviations large deviations
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MODERATE DEVIATIONS FOR PARAMETER ESTIMATORS IN FRACTIONAL ORNSTEIN-UHLENBECK PROCESS 被引量:4
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作者 高付清 蒋辉 汪宝彬 《Acta Mathematica Scientia》 SCIE CSCD 2010年第4期1125-1133,共9页
We study moderate deviations for estimators of the drift parameter of the fractional Ornstein-Uhlenbeck process. Two moderate deviation principles are obtained.
关键词 Large deviations moderate deviations Ornstein-Uhlenbeck process
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MODERATE DEVIATIONS FROM HYDRODYNAMIC LIMIT OF A GINZBURG-LANDAU MODEL 被引量:2
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作者 王霞 高付清 《Acta Mathematica Scientia》 SCIE CSCD 2006年第4期691-701,共11页
The authors consider the moderate deviations of hydrodynamic limit for Ginzburg-Landau models. The moderate deviation principle of hydrodynamic limit for a specific Ginzburg-Landau model is obtained and an explicit fo... The authors consider the moderate deviations of hydrodynamic limit for Ginzburg-Landau models. The moderate deviation principle of hydrodynamic limit for a specific Ginzburg-Landau model is obtained and an explicit formula of the rate function is derived. 展开更多
关键词 Hydrodynamic limit large deviations moderate deviations Ginzburg-Landau model
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SMALL PERTURBATION CRAMER METHODS AND MODERATE DEVIATIONS FOR MARKOV PROCESSES 被引量:2
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作者 高付清 《Acta Mathematica Scientia》 SCIE CSCD 1995年第4期394-405,共12页
This paper presents a small perturbation Cramer method for obtaining the large deviation principle of a family of measures (β,ε> 0) on a topological vector space. As an application, we obtain the moderate deviati... This paper presents a small perturbation Cramer method for obtaining the large deviation principle of a family of measures (β,ε> 0) on a topological vector space. As an application, we obtain the moderate deviation estimations for uniformly ergodic Markov processes. 展开更多
关键词 Large deviations Cramer methods Markov processes moderate deviations.
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Geometric Deviation Modeling by Kinematic Matrix Based on Lagrangian Coordinate 被引量:1
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作者 LIU Weidong HU Yueming +1 位作者 LIU Yu DAI Wanyi 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2015年第5期1056-1066,共11页
Typical representation of dimension and geometric accuracy is limited to the self-representation of dimension and geometric deviation based on geometry variation thinking, yet the interactivity affection of geometric ... Typical representation of dimension and geometric accuracy is limited to the self-representation of dimension and geometric deviation based on geometry variation thinking, yet the interactivity affection of geometric variation and gesture variation of multi-rigid body is not included. In this paper, a kinematic matrix model based on Lagrangian coordinate is introduced, with the purpose of unified model for geometric variation and gesture variation and their interactive and integrated analysis. Kinematic model with joint, local base and movable base is built. The ideal feature of functional geometry is treated as the base body; the fitting feature of functional geometry is treated as the adjacent movable body; the local base of the kinematic model is fixed onto the ideal geometry, and the movable base of the kinematic model is fixed onto the fitting geometry. Furthermore, the geometric deviation is treated as relative location or rotation variation between the movable base and the local base, and it's expressed by the Lagrangian coordinate. Moreover, kinematic matrix based on Lagrangian coordinate for different types of geometry tolerance zones is constructed, and total freedom for each kinematic model is discussed. Finally, the Lagrangian coordinate library, kinematic matrix library for geometric deviation modeling is illustrated, and an example of block and piston fits is introduced. Dimension and geometric tolerances of the shaft and hole fitting feature are constructed by kinematic matrix and Lagrangian coordinate, and the results indicate that the proposed kinematic matrix is capable and robust in dimension and geometric tolerances modeling. 展开更多
关键词 geometry deviation geometry deviation representation kinematic matrix Lagrangian coordinate virtual joint
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LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR SUMS OF NEGATIVELY DEPENDENT RANDOM VARIABLES 被引量:1
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作者 刘莉 万成高 冯艳钦 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期344-352,共9页
In this article, we obtain the large deviations and moderate deviations for negatively dependent (ND) and non-identically distributed random variables defined on (-∞, +∞). The results show that for some non-ide... In this article, we obtain the large deviations and moderate deviations for negatively dependent (ND) and non-identically distributed random variables defined on (-∞, +∞). The results show that for some non-identical random variables, precise large deviations and moderate deviations remain insensitive to negative dependence structure. 展开更多
关键词 Large deviation moderate deviation negative dependence non-identical distribution
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