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Effects of sequential decay on collective flows and nuclear stopping power in heavy-ion collisions at intermediate energies 被引量:1
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作者 Kui Xiao Peng-Cheng Li +2 位作者 Yong-Jia Wang Fu-Hu Liu Qing-Feng Li 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2023年第4期175-184,共10页
In this study, the rapidity distribution, collective flows, and nuclear stopping power in ^(197)Au+^(197)Au collisions at intermediate energies were investigated using the ultrarelativistic quantum molecular dynamics(... In this study, the rapidity distribution, collective flows, and nuclear stopping power in ^(197)Au+^(197)Au collisions at intermediate energies were investigated using the ultrarelativistic quantum molecular dynamics(UrQMD) model with GEMINI++ code. The UrQMD model was adopted to simulate the dynamic evolution of heavy-ion collisions, whereas the GEMINI++ code was used to simulate the decay of primary fragments produced by UrQMD. The calculated results were compared with the INDRA and FOPI experimental data. It was found that the rapidity distribution, collective flows, and nuclear stopping power were affected to a certain extent by the decay of primary fragments, especially at lower beam energies. Furthermore, the experimental data of the collective flows and nuclear stopping power at the investigated beam energies were better reproduced when the sequential decay effect was included. 展开更多
关键词 Heavy-ion collisions Sequential decay effect Collective flow Nuclear stopping power
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Analysis of Stopping Behavior at Rural T-Intersections Using Naturalistic Driving Study Data
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作者 Nicole Oneyear Shauna Hallmark +2 位作者 Amrita Goswamy Raju Thapa Guillermo Basulto-Elias 《Journal of Transportation Technologies》 2023年第2期208-221,共14页
Rural intersections account for around 30% of crashes in rural areas and 6% of all fatal crashes, representing a significant but poorly understood safety problem. Crashes at rural intersections are also problematic si... Rural intersections account for around 30% of crashes in rural areas and 6% of all fatal crashes, representing a significant but poorly understood safety problem. Crashes at rural intersections are also problematic since high speeds on intersection approaches are present which can exacerbate the impact of a crash. Additionally, rural areas are often underserved with EMS services which can further contribute to negative crash outcomes. This paper describes an analysis of driver stopping behavior at rural T-intersections using the SHRP 2 Naturalistic Driving Study data. Type of stop was used as a safety surrogate measure using full/rolling stops compared to non-stops. Time series traces were obtained for 157 drivers at 87 unique intersections resulting in 1277 samples at the stop controlled approach for T-intersections. Roadway (i.e. number of lanes, presence of skew, speed limit, presence of stop bar or other traffic control devices), driver (age, gender, speeding), and environmental characteristics (time of day, presence of rain) were reduced and included as independent variables. Results of a logistic regression model indicated drivers were less likely to stop during the nighttime. However presence of intersection lighting increased the likelihood of full/rolling stops. Presence of intersection skew was shown to negatively impact stopping behavior. Additionally drivers who were traveling over the posted speed limit upstream of the intersection approach were less likely to stop at the approach stop sign. 展开更多
关键词 Naturalistic Driving Study Data INTERSECTION Safety RURAL stopping Behavior
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Initial and Stopping Condition in Possibility Principal Factor Rotation
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作者 Houju Hori Jr. 《Journal of Applied Mathematics and Physics》 2023年第5期1482-1486,共5页
Uemura [1] discovered the mapping formula for Type 1 Vague events and presented an alternative problem as an example of its application. Since it is well known that the alternative problem leads to sequential Bayesian... Uemura [1] discovered the mapping formula for Type 1 Vague events and presented an alternative problem as an example of its application. Since it is well known that the alternative problem leads to sequential Bayesian inference, the flow of subsequent research was to make the mapping formula multidimensional, to introduce the concept of time, and to derive a Markov (decision) process. Furthermore, we formulated stochastic differential equations to derive them [2]. This paper refers to type 2 vague events based on a second-order mapping equation. This quadratic mapping formula gives a certain rotation named as possibility principal factor rotation by transforming a non-mapping function by a relation between two mapping functions. In addition, the derivation of the Type 2 Complex Markov process and the initial and stopping conditions in this rotation are mentioned. . 展开更多
关键词 Extension Principle Vague Event Type 2 Possibility Different Equation Possibility Principal Factor Analysis Initial and stopping Condition
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Ruling out small stopping sets and small girth in Tanner graph of QC-LDPC code 被引量:2
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作者 Lingjun Kong Yang Xiao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第1期134-137,共4页
The existing constructions of quasi-cyclic low-density parity-check (QC-LDPC) codes do not consider the problems of small stopping sets and small girth together in the Tanner graph, while their existences will lead ... The existing constructions of quasi-cyclic low-density parity-check (QC-LDPC) codes do not consider the problems of small stopping sets and small girth together in the Tanner graph, while their existences will lead to the bit error rate (BER) performance of QC-LDPC codes being much poorer than that of randomly constructed LDPC codes even decoding failure. To solve the problem, some theorems of the specific chosen parity-check matrix of QC-LDPC codes without small stopping sets and small girth are proposed. A novel construction for QC-LDPC codes with long block lengths is presented by multiplying mmin or the multiple of mmin, which is the minimum order of the identity matrix for the chosen parity-check matrix. The simulation results show that the specific chosen parity-check matrix of QC-LDPC codes can effectively avoid specified stopping sets and small girth and exhibit excellent BER performance than random LDPC codes with the same longer codes length. 展开更多
关键词 quasi-cyclic low-density parity-check codes stoppingset stopping distance GIRTH circulant matrices.
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A Stylistic Analysis of “Stopping by Woods on a Snowy Evening”
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作者 刘颖 《中国校外教育》 2009年第S2期368-368,共1页
This paper gives a stylistic analysis of the poem "Stopping by Woods on a Snowy Evening" by American poet Robert Frost, and then probes how the author achieves his expected goal through attracting readers... This paper gives a stylistic analysis of the poem "Stopping by Woods on a Snowy Evening" by American poet Robert Frost, and then probes how the author achieves his expected goal through attracting readers' attention and leaving them much space to create their own imagination. 展开更多
关键词 STYLISTICS analysis "stopping by WOODS on a SNOWY
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Ion stopping in dense plasmas: A basic physics approach 被引量:4
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作者 Claude Deutsch Gilles Maynard 《Matter and Radiation at Extremes》 SCIE EI CAS 2016年第6期277-307,共31页
We survey quite extensively the present research status of ion-stopping in dense plasmas of potential importance for initial confinement fusion(ICF)drivenby intense and heavy ion beams,and alsofor warm dense matter(WD... We survey quite extensively the present research status of ion-stopping in dense plasmas of potential importance for initial confinement fusion(ICF)drivenby intense and heavy ion beams,and alsofor warm dense matter(WDM).First,we putemphasis on every possible mechanism involved in the shaping of the ion projectile effective charge,while losing energy in a target plasma with classical ions and partially degenerate electrons.Then,we switch to ion stopping by target bound electrons,taking detailed account of mean excitation energies.Free electron stopping has already been given a lot of attention in former works[C.Deutsch et al.,Recent Res.Devel.Plasma 1(2000)1-23;Open Plasma Phys.J.3(2010)88-115].Then,we extend the usual standard stopping model(SSM)framework to nonlinear stopping including a treatment of the Z 3 Barkas effect and a confronting comparison of Bloch and Bohr Coulomb logarithms.Finally,we document low velocity ion slowing down(LVISD)in single ion plasmas as well as in binary ionic mixtures(BIM),in connection with specific ICF fuels. 展开更多
关键词 Ion projectile effective charge Mean excited energies Nonlinear stopping Binary ionic mixture
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Reasonable location of stopping line in close‑distance underlying coal seam and partition support of large cross‑section roadway 被引量:2
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作者 Dongdong Chen Yiyi Wu +3 位作者 Shengrong Xie Fangfang Guo Fulian He Ruipeng Liu 《International Journal of Coal Science & Technology》 EI CAS CSCD 2022年第4期181-202,共22页
Close-distance coal seams are widely distributed over China,and the coal pillars left by the overlying coal seams afect the retracement channel of the underlying coal seam in the stopping stage.Based on the engineerin... Close-distance coal seams are widely distributed over China,and the coal pillars left by the overlying coal seams afect the retracement channel of the underlying coal seam in the stopping stage.Based on the engineering background of close-distance seam mining in a coal mine,the reasonable position of the underlying coal seam's stopping line and the support method of the large section roadway during stopping are investigated using feld measurements,similar simulation experiments,and numerical simulations.There are three types of location relationships between the stopping line of the underlying coal seam and the stopping line of the overlying coal seam:"externally staggered with the upper stopping line"(ESUL,stops mining under the overlying goaf),"overlapped with upper stopping line"(OUL),and"internally staggered with the upper stopping line"(ISUL,ISUL-SD for shorter internal staggered distances,ISUL-LD for longer ones).There are diferent stress arch structures in the overlying strata of the above three positions,and the stress arch evolution process exists in the process of ESUL→OUL→ISUL-SD→ISUL-LD:a front and rear double stress arch structure→the front arch gradually decreases→the front arch dies out,and the double arch synthesizes the single arch→the single-arch range expands→the nested double arch.The relationship between the stress arch structure and the position of the stopping line is evaluated as follows:(1)ESUL:the stress concentration in the roof plate of the retracement channel of the underlying coal seam is the highest,because the overburden block of the extensive collapse zone acts directly on the roof plate of the retracement channel,resulting in relative difculties in roof support.(2)OUL:although the retracement channel roof pressure is minimal,the overlying rock structure has the potential for rotation or slippage instability.(3)ISUL-SD:the pressure on the roof of the retracement channel is small and the overburden structure is stable,which is conducive to the safe retraction of the support and not limited by the width of the end-mining coal pillar.(4)ISUL-LD:it is basically the same as the condition of stopping under the non-goaf;however,it has a limitation on the width of the end-mining coal pillar.The location of the stopping line is selected as ISUL-SD,and the retraction process of the self-excavating retraction channel was adopted.A partition asymmetric support scheme which is proven by feld practice is proposed,through a comprehensive analysis of the pre-stress feld simulation of the support scheme,based on the diferent control requirements of the roof above the support and the roof of the retracement channel in the stopping area.This method realizes safe and smooth withdrawal of the support. 展开更多
关键词 Close-distance coal seams stopping line Stress arch structure Retracement channel Partition support
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Probing neutron–proton effective mass splitting using nuclear stopping and isospin mix in heavy-ion collisions in GeV energy region 被引量:3
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作者 Fan Zhang Jun Su 《Nuclear Science and Techniques》 SCIE CAS CSCD 2020年第8期35-42,共8页
The ramifications of the effective mass splitting on the nuclear stopping and isospin tracer during heavy-ion collisions within the gigaelectron volt energy region are studied using an isospin-dependent quantum molecu... The ramifications of the effective mass splitting on the nuclear stopping and isospin tracer during heavy-ion collisions within the gigaelectron volt energy region are studied using an isospin-dependent quantum molecular dynamics model.Three isotope probes,i.e.,a proton,deuteron,and triton,are used to calculate the nuclear stopping.Compared to the mn*>mp*case,the mn*<mp*parameter results in a stronger stopping for protons but a weaker stopping for tritons.The calculations of the isospin tracer show that the mn*>mp*parameter results in a higher isospin mix than the mn*<mp*parameter.The rapidity and impact parameter dependences of the isospin tracer are also studied.A constraining of the effective mass splitting using the free nucleons with high rapidity and in a central rather than peripheral collision is suggested. 展开更多
关键词 Neutron–proton effective mass splitting Nuclear stopping Isospin mix
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Energy Efficiency Maximization Strategy for Sink Node in SWIPT-Enabled Sensor-Cloud Based on Optimal Stopping Rules 被引量:2
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作者 Zhe Wang Lina Ge +2 位作者 Taoshen Li Guifen Zhang Min Wu 《China Communications》 SCIE CSCD 2021年第1期222-236,共15页
Leveraging energy harvesting abilities in wireless network devices has emerged as an effective way to prolong the lifetime of energy constrained systems.The system gains are usually optimized by designing resource all... Leveraging energy harvesting abilities in wireless network devices has emerged as an effective way to prolong the lifetime of energy constrained systems.The system gains are usually optimized by designing resource allocation algorithm appropriately.However,few works focus on the interaction that channel’s time-vary characters make the energy transfer inefficiently.To address this,we propose a novel system operation sequence for sensor-cloud system where the Sinks provide SWIPT for sensor nodes opportunistically during downlink phase and collect the data transmitted from sensor nodes in uplink phase.Then,the energy-efficiency maximization problem of the Sinks is presented by considering the time costs and energy consumption of channel detection.It is proved that the formulated problem is an optimal stopping process with optimal stopping rules.An optimal energy-efficiency(OEE)algorithm is designed to obtain the optimal stopping rules for SWIPT.Finally,the simulations are performed based on the OEE algorithm compared with the other two strategies to verify the effectiveness and gains in improving the system efficiency. 展开更多
关键词 sensor-cloud SWIPT optimal stopping theory energy efficiency channel quality
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FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS WITH STOPPING TIME 被引量:2
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作者 吴臻 《Acta Mathematica Scientia》 SCIE CSCD 2004年第1期91-99,共9页
The existence and uniqueness results of fully coupled forward-backward stochastic differential equations with stopping time (unbounded) is obtained. One kind of comparison theorem for this kind of equations is also pr... The existence and uniqueness results of fully coupled forward-backward stochastic differential equations with stopping time (unbounded) is obtained. One kind of comparison theorem for this kind of equations is also proved. 展开更多
关键词 Forward-backward stochastic differential equations stopping time comparison theorem
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STUDY ON VARIATION OF SETTING AND STOPPING PRESSURES OF SAFETY VALVE WITH STRUCTURAL MODIFICATION 被引量:1
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作者 Lee Jinho Kwangzin Valve Industrial Co ,Ltd,Korea Kim Harkbong Kim Moonsang School of Aerospace and Mechanical Engineering,Hankook Aviation University,Korea 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2001年第2期127-138,共12页
The possibility of pressure control with the structural change of a safety valve is investigated Safety valve is commonly used as safety devices for numerous applications which include boilers,ships,industrial plant... The possibility of pressure control with the structural change of a safety valve is investigated Safety valve is commonly used as safety devices for numerous applications which include boilers,ships,industrial plants,and piping Setting and stopping pressures of a safety valve, p set and p sto ,are traditionally adjusted with a fine tuning of seat ring and valve ring heights, h sr and h vr However, it is not easy to achieve the proper setting and stopping pressures of a safety valve in practice The depth of inside and outside grooves in a valve, d i and d o are modified and their effects on setting and stopping pressures of a safety vlave are tested The most appropriate values appear 1 0 mm in d i and 0 5~1 0 mm in d o,respectively The valve ring height, h vr ,shows that the best results can be achieved at 2 3 mm for setting pressures of 0 1~0 4 MPa and 1 0 mm for setting pressures of 0 5~1 0 MPa The stopping pressures increases with the increase of seat ring height, h sr , upto certain h sr value and then becomes independent to the seat ring height This implies that there exists the optimum h sr ,which provides the largest flow rate and the proper stopping pressure Stopping pressures of a safety valve are adjusted with the seat ring and valve ring heights This study,however,demonstrated that the modification of value grooves also changes setting and stopping pressures of a safety valve Therefore,the proper selection in dimensions of the inside and outside grooves should be considered for the safety valve design 展开更多
关键词 Safety valve Compressive flow Isentropic flow theory Isentropic comressibility theory Setting pressure stopping pressure Continuity equation Momentum equation
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Review of stopping power and Coulomb explosion for molecular ion in plasmas 被引量:1
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作者 Guiqiu Wang He Yi +8 位作者 Yujiao Li Yaochuan Wang Dajun Liu Fei Gao Wei Liu Jieru Ren Xing Wang Yongtao Zhao Younian Wang 《Matter and Radiation at Extremes》 SCIE EI CAS 2018年第2期67-77,共11页
We summarize our theoretical studies for stopping power of energetic heavy ion,diatomic molecular ions and small clusters penetrating through plasmas.As a relevant research field for the heavy ion inertial confinement... We summarize our theoretical studies for stopping power of energetic heavy ion,diatomic molecular ions and small clusters penetrating through plasmas.As a relevant research field for the heavy ion inertial confinement fusion(HICF),we lay the emphasis on the dynamic po-larization and correlation effects of the constituent ion within the molecular ion and cluster for stopping power in order to disclose the role of the vicinage effect on the Coulomb explosion and energy deposition of molecules and clusters in plasma.On the other hand,as a promising scheme for ICF,both a strong laser field and an intense ion beam are used to irradiate a plasma target.So the influence of a strong laser field on stopping power is significant.We discussed a large range of laser and plasma parameters on the coulomb explosion and stopping power for correlated-ion cluster and C 60 cluster.Furthermore,in order to indicate the effects of different cluster types and sizes on the stopping power,a comparison is made for hydrogen and carbon clusters.In addition,the deflection of molecular axis for diatomic molecules during the Coulomb explosion is also given for the cases both in the presence of a laser field and laser free.Finally,a future experimental scheme is put forward to measure molecular ion stopping power in plasmas in Xi’an Jiaotong University of China. 展开更多
关键词 MOLECULES stopping power Coulomb explosion Vicinage effect LASER
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ON SOLUTIONS OF BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS WITH JUMPS,WITH UNBOUNDED STOPPING TIMES AS TERMINAL AND WITH NON-LIPSCHITZ COEFFICIENTS,AND PROBABILISTIC INTERPRETATION OF QUASI-LINEAR ELLIPTIC TYPE INTEGRO-DIFFERENTIAL EQUATIO 被引量:1
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作者 司徒荣 王越平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第6期659-672,共14页
The existence and uniqueness of solutions to backward stochastic differential equations with jumps and with unbounded stopping time as terminal under the non_Lipschitz condition are obtained. The convergence of soluti... The existence and uniqueness of solutions to backward stochastic differential equations with jumps and with unbounded stopping time as terminal under the non_Lipschitz condition are obtained. The convergence of solutions and the continuous dependence of solutions on parameters are also derived. Then the probabilistic interpretation of solutions to some kinds of quasi_linear elliptic type integro_differential equations is obtained. 展开更多
关键词 backward stochastic differential equations(BSDEs) with jumps unbounded stopping time adapted solutions convergence of solutions quasi_linear elliptic equations integro_differential operators.
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Optimal stopping investment in a logarithmic utility-based portfolio selection problem 被引量:1
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作者 Xun Li Xianping Wu Wenxin Zhou 《Financial Innovation》 2017年第1期433-442,共10页
Background:In this paper,we study the right time for an investor to stop the investment over a given investment horizon so as to obtain as close to the highest possible wealth as possible,according to a Logarithmic ut... Background:In this paper,we study the right time for an investor to stop the investment over a given investment horizon so as to obtain as close to the highest possible wealth as possible,according to a Logarithmic utility-maximization objective involving the portfolio in the drift and volatility terms.The problem is formulated as an optimal stopping problem,although it is non-standard in the sense that the maximum wealth involved is not adapted to the information generated over time.Methods:By delicate stochastic analysis,the problem is converted to a standard optimal stopping one involving adapted processes.Results:Numerical examples shed light on the efficiency of the theoretical results.Conclusion:Our investment problem,which includes the portfolio in the drift and volatility terms of the dynamic systems,makes the problem including multi-dimensional financial assets more realistic and meaningful. 展开更多
关键词 Optimal stopping Path-dependent Stochastic differential equation(SDE) Time-change Portfolio selection
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Mass Stopping Power and Range of Protons in Biological Human Body Tissues (Ovary, Lung and Breast) 被引量:1
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作者 Ahlam S. Almutairi Khalda T. Osman 《International Journal of Medical Physics, Clinical Engineering and Radiation Oncology》 2022年第1期48-59,共12页
In this work, the mass stopping power and range of protons in biological human body tissues (ovary, lung and breast) were calculated at the energy ranging from 0.04 MeV to 200 MeV using the MATLAB Program. The data re... In this work, the mass stopping power and range of protons in biological human body tissues (ovary, lung and breast) were calculated at the energy ranging from 0.04 MeV to 200 MeV using the MATLAB Program. The data relating to the densities, average atomic number to mass number  and excitation energy for the present tissues were collected from ICRU Report 46. The mass stopping power was calculated by the Bethe formula. Moreover, the simple integration (continuous slowing down approximation) method was employed for calculating protons range at the tissues. The results of the mass stopping power versus energy and the range versus energy were presented graphically and the empirical formulae for calculating the mass stopping power and the ranges were obtained. The present results for mass stopping powers and ranges were compared with the results obtained by others. Good agreements were found between them, especially at the energy ranging from 3 to 200 MeV. 展开更多
关键词 Human Body Tissues PROTONS RANGE MATLAB Mass stopping Power
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Optimal Stopping Time to Buy an Asset When Growth Rate Is a Two-State Markov Chain 被引量:1
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作者 Pham Van Khanh 《American Journal of Operations Research》 2014年第3期132-141,共10页
In this paper we consider the problem of determining the optimal time to buy an asset in a position of an uptrend or downtrend in the financial market and currency market as well as other markets. Asset price is model... In this paper we consider the problem of determining the optimal time to buy an asset in a position of an uptrend or downtrend in the financial market and currency market as well as other markets. Asset price is modeled as a geometric Brownian motion with drift being a two-state Markov chain. Based on observations of asset prices, investors want to detect the change points of price trends as accurately as possible, so that they can make the decision to buy. Using filtering techniques and stochastic analysis, we will develop the optimal boundary at which investors implement their decisions when the posterior probability process reaches a certain threshold. 展开更多
关键词 Optimal stopping Time POSTERIOR PROBABILITY THRESHOLD
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独立林雪夜——Stopping by Woods on a Snowy Evening一诗的翻译和欣赏
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作者 贾荣江 《襄樊职业技术学院学报》 2002年第4期63-65,共3页
分析了《StoppingbyWoodsOnaSnowyEvening》一诗的原义 ,并用适当的汉语和诗歌形式将原义表达出来。说明了此诗所描写的一种典型环境对揭示诗中人物性格所起的作用。
关键词 《独立林雪夜》 诗歌欣赏 典型环境 诗歌翻译 英译文 人物性格 stopping by WOODS on a SNOWY Evening》
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Nuclear Stopping and Pauli Blocking in Heavy-Ion Reactions near Fermi Energy
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作者 邢永忠 刘晓斌 +2 位作者 师应龙 张鸿飞 郑玉明 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第12期28-31,共4页
The dissipation phenomenon in the heavy-ion reaction at incident energy near the Fermi energy is studied by simulating the reaction ^129Xe+^129Sn with the isospin-dependent quantum molecular dynamics model. The calcu... The dissipation phenomenon in the heavy-ion reaction at incident energy near the Fermi energy is studied by simulating the reaction ^129Xe+^129Sn with the isospin-dependent quantum molecular dynamics model. The calculations involving a proper prescription of implementing the Pauli exclusion principle show that the isotropy ratio measured by free protons emitted in the reaction at energy slightly higher than the Fermi energy is in agreement with the experimental data recently released by the INDRA collaboration. A feasible value of the Pauli-blocking factor is estimated by comparing the theoretical results with the experimental data for the energy range considered here. 展开更多
关键词 in on of Nuclear stopping and Pauli Blocking in Heavy-Ion Reactions near Fermi Energy been IS
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STOPPING POWERS OF HEAVY IONS IN SILVER
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作者 金长文 卢希庭 +4 位作者 黄小菁 叶沿林 江栋兴 刘洪涛 夏宗璜 《Nuclear Science and Techniques》 SCIE CAS CSCD 1993年第4期241-244,共4页
With the method of Rutherford backscattering of heavy ions from heavy substrate, the stopping powers of 11B, 12C and 19F in silver film were measured at energies from 0.11-0.53 MeV / u. The results are compared with t... With the method of Rutherford backscattering of heavy ions from heavy substrate, the stopping powers of 11B, 12C and 19F in silver film were measured at energies from 0.11-0.53 MeV / u. The results are compared with the previous experimental data and the semiempirical calculations of TRIM-90. 展开更多
关键词 RBS stopping POWER HEAVY IONS
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Waiting times and stopping probabilities for patterns in Markov chains
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作者 ZHAO Min-zhi XU Dong ZHANG Hui-zeng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2018年第1期25-34,共10页
Suppose that C is a finite collection of patterns. Observe a Markov chain until one of the patterns in C occurs as a run. This time is denoted by τ. In this paper, we aim to give an easy way to calculate the mean wai... Suppose that C is a finite collection of patterns. Observe a Markov chain until one of the patterns in C occurs as a run. This time is denoted by τ. In this paper, we aim to give an easy way to calculate the mean waiting time E(τ) and the stopping probabilities P(τ = τA)with A ∈ C, where τA is the waiting time until the pattern A appears as a run. 展开更多
关键词 PATTERN Markov chain stopping probability waiting time
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