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Chronology of the urban evolution of Ancient Loulan City
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作者 XU Deke LI Chang +10 位作者 JIN Yingyu DENG Zhenhua LI Hao XU Bing SUN Xiaohong FENG Jing JIAO Yingxin QIN Xiaoguang ZHANG Jianping WU Naiqin LU Houyuan 《Journal of Geographical Sciences》 2025年第8期1733-1742,共10页
Understanding the historical development of civilization in the Western Regions of China necessitates a detailed chronology and an in-depth analysis of the developmental dynamics of Ancient Loulan City(LA).However,sys... Understanding the historical development of civilization in the Western Regions of China necessitates a detailed chronology and an in-depth analysis of the developmental dynamics of Ancient Loulan City(LA).However,systematic chronological investigations of specific archaeological sites within LA remain scarce,leaving the construction and occupation dates of many sites,along with the urban extent and development phases,unclear.To address these gaps,we established the Loulan Radiocarbon Dating Database and applied the summed probability distribution(SPD)method to reconstruct the chronology of individual sites and the urban development trajectory of LA.Our findings reveal the following:(1)Between~500 BC and~200 BC,only site units LA-Ⅰand LA-Ⅷexisted,representing a nascent village phase;(2)From~200 BC to~AD 100,the construction of LA-IV marked the transition to an urban phase,as evidenced by abundant plant and animal remains that indicate a blend of agricultural and pastoral practices;(3)From~AD 100 to~AD 400,the remaining site units were constructed,occupied,and utilized,signifying the urban phase.This period saw the emergence of complex social stratification,with roles such as monks,soldiers,officials,and blacksmiths shaping the city's structure.These chronological insights provide a new understanding of LA's urban evolution,offering critical evidence for its socio-economic transformation. 展开更多
关键词 Loulan Radiocarbon Dating Database ^(14)C summed probability distribution Western Regions the ancient Silk Road
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A Verification Theorem for Feedback Nash Equilibrium in Multiple-Player Nonzero-Sum Impulse Game 被引量:1
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作者 Ruihai Li Yaoyao Tan +1 位作者 Xiaojie Su Jiangshuai Huang 《IEEE/CAA Journal of Automatica Sinica》 2025年第3期648-650,共3页
Dear Editor,This letter addresses the impulse game problem for a general scope of deterministic,multi-player,nonzero-sum differential games wherein all participants adopt impulse controls.Our objective is to formulate... Dear Editor,This letter addresses the impulse game problem for a general scope of deterministic,multi-player,nonzero-sum differential games wherein all participants adopt impulse controls.Our objective is to formulate this impulse game problem with the modified objective function including interaction costs among the players in a discontinuous fashion,and subsequently,to derive a verification theorem for identifying the feedback Nash equilibrium strategy. 展开更多
关键词 impulse game feedback Nash equilibrium multiple player feedback nash equilibrium strategy impulse game problem nonzero sum modified objective function impulse controlsour
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Exceptional Set for Diophantine Approximation with Primes of Two Squares and Three Biquadrates
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作者 LIU Minmin ZHANG Min LI Jinjiang 《数学进展》 北大核心 2025年第1期18-36,共19页
Suppose thatλ_(1),λ_(2),λ_(3),λ_(4),λ_(5)are nonzero real numbers,not all of the same sign,andλ_(1)/λ_(2)is irrational and algebraic.Let V be a well-spaced sequence,δ>0.In this paper,it is proved that,for ... Suppose thatλ_(1),λ_(2),λ_(3),λ_(4),λ_(5)are nonzero real numbers,not all of the same sign,andλ_(1)/λ_(2)is irrational and algebraic.Let V be a well-spaced sequence,δ>0.In this paper,it is proved that,for anyε>0,the number of v∈V with v≤N such that the following inequality|λ_(1)p_(1)~2+λ_(2)p_(2)~2+λ_(3)p_(3)~4+λ_(4)p_(4)~4+λ_5p_5~4-v|<v^(-δ)has no solution in prime variables p_(1),p_(2),p_(3),p_(4),p_(5)does not exceed O(N^(29/32+2δ+ε)). 展开更多
关键词 Diophantine approximation exponential sum Davenport-Heilbronn method prime variable
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On the Triple Sums of Hecke Eigenvalues on Certain Polynomials
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作者 HUA Guodong 《数学进展》 北大核心 2025年第6期1261-1277,共17页
Let f,g and h be three distinct primitive holomorphic cusp forms of even integral weights k_(1),k_(2)and k_(3)for the full modular groupΓ=SL(2,Z),and denote byλ_(f)(n),λ_(g)(n),λ_(h)(n)the corresponding normalized... Let f,g and h be three distinct primitive holomorphic cusp forms of even integral weights k_(1),k_(2)and k_(3)for the full modular groupΓ=SL(2,Z),and denote byλ_(f)(n),λ_(g)(n),λ_(h)(n)the corresponding normalized Fourier coefficients,respectively.In this paper,we investigate the correlations of triple sums associated to these Fourier coefficientsλ_(f)(n),λ_(g)(n),λ_(h)(n)over certain polynomials,and obtain some power-saving asymptotic estimates which beat the trivial bounds. 展开更多
关键词 Hecke eigenvalue triple correlation sum automorphic L-function asymptotic behavior
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Study on Color Difference of Color Reproduction of 3D Objects
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作者 GU Chong DENG Yi-qiang 《印刷与数字媒体技术研究》 北大核心 2025年第4期33-38,69,共7页
To investigate the applicability of four commonly used color difference formulas(CIELAB,CIE94,CMC(1:1),and CIEDE2000)in the printing field on 3D objects,as well as the impact of four standard light sources(D65,D50,A,a... To investigate the applicability of four commonly used color difference formulas(CIELAB,CIE94,CMC(1:1),and CIEDE2000)in the printing field on 3D objects,as well as the impact of four standard light sources(D65,D50,A,and TL84)on 3D color difference evaluations,50 glossy spheres with a diameter of 2cm based on the Sailner J4003D color printing device were created.These spheres were centered around the five recommended colors(gray,red,yellow,green,and blue)by CIE.Color difference was calculated according to the four formulas,and 111 pairs of experimental samples meeting the CIELAB gray scale color difference requirements(1.0-14.0)were selected.Ten observers,aged between 22 and 27 with normal color vision,were participated in this study,using the gray scale method from psychophysical experiments to conduct color difference evaluations under the four light sources,with repeated experiments for each observer.The results indicated that the overall effect of the D65 light source on 3D objects color difference was minimal.In contrast,D50 and A light sources had a significant impact within the small color difference range,while the TL84 light source influenced both large and small color difference considerably.Among the four color difference formulas,CIEDE2000 demonstrated the best predictive performance for color difference in 3D objects,followed by CMC(1:1),CIE94,and CIELAB. 展开更多
关键词 Color difference formula 3D objects Light source Gray scale Normalized residual sum of squares
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Complete f-Moment Convergence for Sung’s Type Weighted Sums of Negatively Superadditive Dependent Random Variables
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作者 HU Xueping WANG Liuliu +1 位作者 HU Ke XU Zhonghao 《应用概率统计》 北大核心 2025年第4期585-601,共17页
In this paper,by utilizing the Marcinkiewicz-Zygmund inequality and Rosenthal-type inequality of negatively superadditive dependent(NSD)random arrays and truncated method,we investigate the complete f-moment convergen... In this paper,by utilizing the Marcinkiewicz-Zygmund inequality and Rosenthal-type inequality of negatively superadditive dependent(NSD)random arrays and truncated method,we investigate the complete f-moment convergence of NSD random variables.We establish and improve a general result on the complete f-moment convergence for Sung’s type randomly weighted sums of NSD random variables under some general assumptions.As an application,we show the complete consistency for the randomly weighted estimator in a nonparametric regression model based on NSD errors. 展开更多
关键词 Marcinkiewicz-Zygmund inequality Rosenthal-type inequality Sung’s type randomly weighted sums negatively superadditive dependent random variables complete f-moment convergence
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Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of i.i.d.Random Variables under Sublinear Expectations
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作者 XU Mingzhou CHENG Kun 《应用概率统计》 北大核心 2025年第3期339-352,共14页
The complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space is studied.By moment inequality and truncation methods,we establish the... The complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space is studied.By moment inequality and truncation methods,we establish the equivalent conditions of complete convergence for weighted sums of sequences of independent,identically distributed random variables under sublinear expectation space.The results complement the corresponding results in probability space to those for sequences of independent,identically distributed random variables under sublinear expectation space. 展开更多
关键词 complete convergence weighted sums i.i.d.random variables sublinear expectation
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Infrared small target detection algorithm via partial sum of the tensor nuclear norm and direction residual weighting
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作者 SUN Bin XIA Xing-Ling +1 位作者 FU Rong-Guo SHI Liang 《红外与毫米波学报》 北大核心 2025年第2期277-288,共12页
Aiming at the problem that infrared small target detection faces low contrast between the background and the target and insufficient noise suppression ability under the complex cloud background,an infrared small targe... Aiming at the problem that infrared small target detection faces low contrast between the background and the target and insufficient noise suppression ability under the complex cloud background,an infrared small target detection method based on the tensor nuclear norm and direction residual weighting was proposed.Based on converting the infrared image into an infrared patch tensor model,from the perspective of the low-rank nature of the background tensor,and taking advantage of the difference in contrast between the background and the target in different directions,we designed a double-neighborhood local contrast based on direction residual weighting method(DNLCDRW)combined with the partial sum of tensor nuclear norm(PSTNN)to achieve effective background suppression and recovery of infrared small targets.Experiments show that the algorithm is effective in suppressing the background and improving the detection ability of the target. 展开更多
关键词 infrared small target detection infrared patch tensor model partial sum of the tensor nuclear norm direction residual weighting
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Possible Bound States in the Triple-?c and Triple-J/ψSystems
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作者 Guo-Feng Xu Xu-Liang Chen +2 位作者 Jin-Peng Zhang Ning Li Wei Chen 《Chinese Physics Letters》 2025年第7期16-123,共108页
The observations of fully-charm tetraquark states in the LHCb,CMS,and ATLAS experiments suggested the existence of hadronic molecules of two-charmonium states,which may also imply bound states in the threecharmonium s... The observations of fully-charm tetraquark states in the LHCb,CMS,and ATLAS experiments suggested the existence of hadronic molecules of two-charmonium states,which may also imply bound states in the threecharmonium systems.In this work,we study the possible bound states in the triple-ηcand triple-J/ψsystems with J^(PC)=0^(-+)and 1^(--),respectively.In quantum chromodynamics sum rules,we calculate the two-point correlation functions and spectral functions up to the dimension-four gluon condensate.We use the iterative dispersion relation approach to deal with the five-loop banana integrals,which significantly improves computational efficiency.Our results show that the masses of triple-ηcand triple-J/ψstates lie below the corresponding mass thresholds,supporting the existence of such three-body bound states. 展开更多
关键词 quantum chromodynamics sum rules spectral functions hadronic molecules atlas experiments bound states triple j quantum chromodynamics sum ruleswe triple c
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Enhanced suppression of background in capture reaction measurements with LAMBDA-Ⅱin ground laboratories
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作者 Lu-Yang Song Lin Wang +22 位作者 Jun Su Li-Yong Zhang Jian-Jun He Shi-Lun Jin Fei Lu Yang-Ping Shen Jun-Feng Chen Yao-De Sheng Xin Chen Shen Lin Zhi-Wei Qin Zi-Ming Li Hao Zhang Luo-Huan Wang Yin-Ji Chen Xin-Zhi Jiang Zhi-Lin Shen Xin-Yue Li Feng-Cheng Liu Yi-Tong Huang Si-Ze Chen Bing Guo Wei-Ping Liu 《Nuclear Science and Techniques》 2025年第11期273-282,共10页
The precise determination of cross sections for key nuclear reactions within the Gamow window is crucial for advancing the study of stellar evolution and nucleosynthesis.However,extremely low reaction yields combined ... The precise determination of cross sections for key nuclear reactions within the Gamow window is crucial for advancing the study of stellar evolution and nucleosynthesis.However,extremely low reaction yields combined with the cosmic-ray-induced background make these measurements highly challenging,particularly for capture reactions.This work demonstrates the second configuration of the large-scale modular BGO detection array(LAMBDA-Ⅱ)designed to capture reaction measurements and introduces a method for suppressingγ-ray detection background in ground laboratories.By employing active and passive shielding,the background of LAMBDA-Ⅱwas significantly reduced by approximately two orders of magnitude,reaching 8.1×10^(-3)and 1.0×10^(-3)keV^(-1)h^(-1)in the 6-11 and 11-20 MeV energy ranges,respectively.When combined with a mA-scale intensity beam,this reduced background enables the investigation of several capture reactions of astrophysical interest in ground laboratories. 展开更多
关键词 Nuclear astrophysics Capture reaction BACKGROUND Summing technique γdetector array SHIELDING
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基于Summing Mixer的小型录音棚录音系统设计与实现——某研究院声像中心录音棚建设实例
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作者 刘牧 苑方磊 +1 位作者 宋华华 李杰 《电声技术》 2025年第1期20-25,共6页
小型录音棚通常具有空间小、投资省、设备系统简约以及使用灵活高效等特点。通过设计一个小型录音棚录音系统,提出以Summing Mixer为路由与控制核心的系统整体设计方案,包括拾音系统、数字音频系统、监听系统以及硬件效果器系统等分系... 小型录音棚通常具有空间小、投资省、设备系统简约以及使用灵活高效等特点。通过设计一个小型录音棚录音系统,提出以Summing Mixer为路由与控制核心的系统整体设计方案,包括拾音系统、数字音频系统、监听系统以及硬件效果器系统等分系统设计。通过配备硬件压缩器、限制器、均衡器以及混响器等设备,为小型数字录音系统添加了“模拟味”。最后,探讨了设计系统在录音实践中实现零延迟返送监听、外部设备多链路接入、母带制作路由等技术优势。 展开更多
关键词 录音 小型录音棚 Summing Mixer 系统设计
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三类基于Weil sums的线性码
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作者 廖崟琎 何佳维 《南昌航空大学学报(自然科学版)》 2025年第2期35-42,共8页
近年来,少重量线性码被广泛地研究。少重量线性码在强正则图、密钥分享方案、关联方案以及认证码等领域均有应用。本文选取特定定义集,进而构造出有限域上的三类6-重量线性码,并借助Weil sums确定这三类线性码的重量分布情况。
关键词 线性码 重量分布 Weil sums
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Spectral Efficiency of Cell-Free Massive MIMO with LSFD Receiver Under Spatially Correlated Rayleigh Fading Channels
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作者 Li Ning Fan Pingzhi 《China Communications》 2025年第8期1-18,共18页
This paper investigates the uplink spectral efficiency of distributed cell-free(CF)massive multiple-input multiple-output(mMIMO)networks with correlated Rayleigh fading channels based on three different channel estima... This paper investigates the uplink spectral efficiency of distributed cell-free(CF)massive multiple-input multiple-output(mMIMO)networks with correlated Rayleigh fading channels based on three different channel estimation schemes.Specifically,each access point(AP)first uses embedded pilots to estimate the channels of all users based on minimum mean-squared error(MMSE)estimation.Given the high computational cost of MMSE estimation,the low-complexity element-wise MMSE(EW-MMSE)channel estimator and the least-squares(LS)channel estimator without prior statistical information are also analyzed.To reduce non-coherent and coherent interference during uplink payload data transmission,simple centralized decoding(SCD)and large-scale fading decoding(LSFD)are examined.Then,the closedform expressions for uplink spectral efficiency(SE)using MMSE,EW-MMSE,and LS estimators are developed for maximum ratio(MR)combining under LSFD,where each AP may have any number of antennas.The sum SE maximization problem with uplink power control is formulated.Since the maximization problem is non-convex and challenging,a block coordinate descent approach based on the weighted MMSE method is used to get the optimal local solution.Numerical studies demonstrate that LSFD and efficient uplink power control can considerably increase SE in distributed CF m MIMO networks. 展开更多
关键词 CF mMIMO channel estimation largescale fading decoding simple centralized decoding sum SE optimization
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Intrinsic detection efficiency and true coincidence summing correction for a low‑background γ spectrometer with a well‑type HPGe detector
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作者 Ming‑Hao Zhu You‑Bao Wang +14 位作者 Qiang Wang Yu‑Qiang Zhang Jin‑Long Ma Zhi‑Wei Qin Jun Su Fu‑Qiang Cao Zhi‑Cheng Zhang Yu‑Wen Chen Jiang‑Lin Hou Chang‑Xin Guo Sheng‑Quan Yan Yun‑Ju Li Yang‑Ping Shen Bing Guo Wei‑Ping Liu 《Nuclear Science and Techniques》 2025年第10期115-122,共8页
A low-background γ spectrometer named the Gamma spectrometer for Nuclear Activation Studies(GNAS)was developed to detect scarce γ radioactivity,with a special focus on conducting activation experiments in nuclear as... A low-background γ spectrometer named the Gamma spectrometer for Nuclear Activation Studies(GNAS)was developed to detect scarce γ radioactivity,with a special focus on conducting activation experiments in nuclear astrophysics.It consisted of a well-type HPGe detector surrounded by optimized multi-layer shielding,which reduced the laboratory background counting rate by 99.5%and enabled a sensitivity edge as low as 0.044 Bq for the 477.6 KeV γ line of ^(7)Be.The near 4π geometry of the HPGe detector introduces a severe true coincidence summing(TCS)effect along with its high detection efficiency.To determine the intrinsic detection efficiency and correct for the TCS effect,a Monte Carlo simulation method was developed with the Geant4 toolkit.The detector model was optimized by matching the simulated full energy peak(FEP)statistics with those of a ^(137)Cs monoenergetic source and calibrated ^(55,57,58)Co sources produced by low-energy proton beam bombardment of natural iron.The intrinsic detection efficiency curve was obtained,and an algorithm for the correction of the TCS effect was programmed using decay data from the ENSDF library and Nuclear Wallet Cards.The GNAS fulfills the requirements of the ongoing activation measurement of proton-and alpha-induced reactions in nuclear astrophysics on the ground and at the Jinping Underground Nuclear Astrophysics(JUNA)facility. 展开更多
关键词 Low-backgroundγspectrometer GNAS Well-type HPGe detector True coincidence summing Activation measurement at JUNA
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Conformational Order of Spacer Cations Dictates Coherent Phonon Oscillations in Two-Dimensional Organic‒Inorganic Perovskites
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作者 Jing Lai Wenyu Lv +1 位作者 Junjun Tan Shuji Ye 《Chinese Journal of Chemical Physics》 2025年第5期625-633,I0080-I0091,I0148,共22页
Phonon coherence can reflect electron‒phonon coupling information and has been proven to modulate electronic states and charge transport.The manipulation of phonon coherence through spacer cation engineering in organi... Phonon coherence can reflect electron‒phonon coupling information and has been proven to modulate electronic states and charge transport.The manipulation of phonon coherence through spacer cation engineering in organic‒inorganic hybrid perovskites(OIHPs)has been extensively demonstrated;however,the underlying structural origin remains elusive at the molecular level.Herein,we present molecular structure and temperature-dependent coherent phonon studies via a combination of sum frequency generation vibrational spectroscopy(SFG-VS)and transient absorption spectroscopy(TAS).The conformational order of spacer cations dictates the coherent phonon oscillations in 2D OIHPs.Our study further analyzes the static order and dynamic disorder in 2D perovskites.This work provides molecular-level insights into the role of spacer cations in tuning structural order and may provide valuable guidance for advancing emergent optoelecltronics development. 展开更多
关键词 Organic-inorganic hybrid perovskites Spacer cations Sum frequency generation vibrational spectroscopy Coherent phonon Structural order
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An NOMA-VLC power allocation scheme for multi-user based on sparrow search algorithm
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作者 WANG Xing WANG Haitao +3 位作者 DONG Zhenliang XIONG Yingfei SHI Huili WANG Ping 《Optoelectronics Letters》 2025年第5期278-283,共6页
A non-orthogonal multiple access(NOMA) power allocation scheme on the basis of the sparrow search algorithm(SSA) is proposed in this work. Specifically, the logarithmic utility function is utilized to address the pote... A non-orthogonal multiple access(NOMA) power allocation scheme on the basis of the sparrow search algorithm(SSA) is proposed in this work. Specifically, the logarithmic utility function is utilized to address the potential fairness issue that may arise from the maximum sum-rate based objective function and the optical power constraints are set considering the non-negativity of the transmit signal, the requirement of the human eyes safety and all users' quality of service(Qo S). Then, the SSA is utilized to solve this optimization problem. Moreover, to demonstrate the superiority of the proposed strategy, it is compared with the fixed power allocation(FPA) and the gain ratio power allocation(GRPA) schemes. Results show that regardless of the number of users considered, the sum-rate achieved by SSA consistently outperforms that of FPA and GRPA schemes. Specifically, compared to FPA and GRPA schemes, the sum-rate obtained by SSA is increased by 40.45% and 53.44% when the number of users is 7, respectively. The proposed SSA also has better performance in terms of user fairness. This work will benefit the design and development of the NOMA-visible light communication(VLC) systems. 展开更多
关键词 NOMA logarithmic utility function VLC Sparrow Search Algorithm sparrow search algorithm ssa fairness issue power allocation Sum Rate
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基于机器学习算法的信访风险预测模型研究
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作者 蔡韧 《移动信息》 2025年第4期252-253,271,共3页
当前,信访风险管理面临精准预测难、预防机制薄弱等问题,亟需改善。为解决该问题,文中提出了一种基于机器学习算法的信访风险预测模型。该模型通过对历史信访数据的分析,从中提取关键特征,并利用支持向量机算法对风险事件进行建模和预... 当前,信访风险管理面临精准预测难、预防机制薄弱等问题,亟需改善。为解决该问题,文中提出了一种基于机器学习算法的信访风险预测模型。该模型通过对历史信访数据的分析,从中提取关键特征,并利用支持向量机算法对风险事件进行建模和预测。在模型训练过程中,采用超参数调优来提升预测精度。实验结果表明,该模型在信访风险预测中具有较高的准确性和鲁棒性,能有效地识别潜在的风险事件,实现对信访风险的精准预警。 展开更多
关键词 机器学习算法 SUM 信访风险预测
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Seismic performance of concrete tunnel-sand-pile interaction by the shake table test
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作者 Md.Foisal Haque Mehedi A.Ansary 《Deep Underground Science and Engineering》 2025年第3期461-481,共21页
This research presents the square root sum of squares response of displacements and tunnel moments under the Kobe and Loma Prieta seismic excitations with a peak ground acceleration of 0.05 g for various dry relative ... This research presents the square root sum of squares response of displacements and tunnel moments under the Kobe and Loma Prieta seismic excitations with a peak ground acceleration of 0.05 g for various dry relative densities of local sand in Bangladesh.For this reason,a one-dimensional gravitational shake table test was performed after calibration to determine the seismic performance of the concrete tunnel-sand-pile interaction model.A vertical 40 kg load was applied on each pile cap along with the seismic excitations.The experimental results obtained were compared with the previous numerical study conducted by using field data so as to better interpret the variations of results.In the case of vertical sand displacement,the ratio between the previous field data obtained through numerical study and the present study is found to be 0.96.Moreover,the experimental results were compared with the 3D full-scale numerical analysis results of Plaxis considering the Mohr-Coulomb constitutive model of sand.Variations of experimental and numerical results show a satisfactory level of alignment with the previously published work.According to the shake table test results,the lateral displacement of the tunnel is greater than the vertical displacement because of the transverse directional seismic excitation on the tunnel body.The minimum difference between lateral and vertical displacements of the tunnel is found to be 31%for a relative density of 27%under the Loma Prieta earthquake.However,this research may be advanced in the future by considering various peak ground accelerations,tunnel-pile clearance,and geometric properties. 展开更多
关键词 experimental investigations interactive displacements and moments Mohr-Coulomb model numerical analysis square root sum of squares(SRSS)
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Genetic Clustering-Based Equivalent Model of Wind Farm with Doubly Fed Induction Generator
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作者 CAI Zhenhua LI Canbing +2 位作者 WU Qiuwei YANG Tongguang LI Zhenkai 《Journal of Shanghai Jiaotong university(Science)》 2025年第2期300-308,共9页
With increasing the number of wind power generators,the consumption time of electromagnetic simulation of the wind farm explodes.To reduce the simulation time while meeting the accuracy requirement,a genetic clusterin... With increasing the number of wind power generators,the consumption time of electromagnetic simulation of the wind farm explodes.To reduce the simulation time while meeting the accuracy requirement,a genetic clustering-based equivalent model is proposed for the wind farm with numerous doubly fed induction generators.In the proposed model,active power together with the reactive power and the wind speed are selected to form the set of clustering indicators.A normalization technique is utilized to cope with the multiple orders of magnitude in these factors.An exponential fitness value is formulated as a function of the sorting number of the primary fitness value,and the fitness-based selection probability is constructed to overcome the property of premature and slow convergence of the genetic clustering algorithm.The sum of squares due to error is used to determine the optimal clustering number.In addition,a decoupled parameter equivalence method is adopted to obtain the equivalent parameters of the collection network.Simulation results and comparisons with various methods under different voltage scenarios show the feasibility and effectiveness of the proposed model. 展开更多
关键词 electromagnetic simulation genetic clustering-based equivalent model doubly fed induction gener-ators sum of squares due to error collection network
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Consequences of Invariant Functions for the Riemann Hypothesis
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作者 Michael Mark Anthony 《Advances in Pure Mathematics》 2025年第1期36-72,共37页
This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific... This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specifically the Robin inequality and the Riemann hypothesis. The exploration of using invariant properties of these functions to derive insights into twin primes and sequential primes is a potentially innovative concept that deserves careful consideration by the mathematical community. 展开更多
关键词 LambertW Function Principal Branch Riemann Hypothesis ITERATIONS Robin Inequality Robin Integers INVARIANCE Gauss Gamma Function Li-Function Prime Counting Function Sums of Divisors INVARIANCE PRIMES Twin Primes
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