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Mathematics

Authors and titles for October 2025

Total of 4832 entries : 1-50 ... 4351-4400 4401-4450 4451-4500 4501-4550 4551-4600 4601-4650 4651-4700 ... 4801-4832
Showing up to 50 entries per page: fewer | more | all
[4501] arXiv:2510.15070 (cross-list from eess.SP) [cn-pdf, pdf, html, other]
Title: A Structured Family of Grassmannian Constellations via Geodesic Mapping for MIMO Noncoherent Communications
Title: 通过测地映射的格拉姆曼星历族用于MIMO非相干通信
Álvaro Pendás-Recondo, Enrique Pendás-Recondo
Comments: 13 pages, 7 figures
Subjects: Signal Processing (eess.SP) ; Differential Geometry (math.DG)
[4502] arXiv:2510.15071 (cross-list from eess.SY) [cn-pdf, pdf, html, other]
Title: Exploring a New Design Paradigm for Omnidirectional MAVs for Minimal Actuation and Internal Force Elimination: Theoretical Framework and Control
Title: 探索全向 MAV 的新设计范式以实现最小驱动和内部力消除:理论框架与控制
Ahmed Ali, Chiara Gabellieri, Antonio Franchi
Subjects: Systems and Control (eess.SY) ; Differential Geometry (math.DG)
[4503] arXiv:2510.15077 (cross-list from physics.flu-dyn) [cn-pdf, pdf, html, other]
Title: On Turbulent Behavior of the Generalized Surface Quasigeostrophic Equations
Title: 关于广义表面准地转方程的湍流行为
Chengzhang Fu, Michael S. Jolly, Anuj Kumar, Vincent R. Martinez
Subjects: Fluid Dynamics (physics.flu-dyn) ; Analysis of PDEs (math.AP)
[4504] arXiv:2510.15108 (cross-list from cs.CR) [cn-pdf, pdf, html, other]
Title: Partitioning $\mathbb{Z}_{sp}$ in finite fields and groups of trees and cycles
Title: 有限域中$\mathbb{Z}_{sp}$的划分以及树和环的群
Nikolaos Verykios, Christos Gogos
Comments: Preprint version of the manuscript submitted for publication in Fundamenta Informaticae (IOS Press)
Subjects: Cryptography and Security (cs.CR) ; Group Theory (math.GR) ; Number Theory (math.NT)
[4505] arXiv:2510.15127 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Navigating the consequences of mechanical ventilation in clinical intensive care settings through an evolutionary game-theoretic framework
Title: 通过进化博弈论框架在临床重症监护环境中导航机械通气的后果
David J. Albers, Tell D. Bennett, Jana de Wiljes, Bradford J. Smith, Peter D. Sottile, J.N. Stroh
Subjects: Machine Learning (cs.LG) ; Optimization and Control (math.OC) ; Quantitative Methods (q-bio.QM)
[4506] arXiv:2510.15165 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Policy Transfer Ensures Fast Learning for Continuous-Time LQR with Entropy Regularization
Title: 策略迁移确保带有熵正则化的连续时间LQR快速学习
Xin Guo, Zijiu Lyu
Subjects: Machine Learning (cs.LG) ; Optimization and Control (math.OC)
[4507] arXiv:2510.15195 (cross-list from eess.SP) [cn-pdf, pdf, html, other]
Title: Pulse Shaping Filter Design for Integrated Sensing & Communication with Zak-OTFS
Title: 用于Zak-OTFS的集成感知与通信脉冲成形滤波器设计
Nishant Mehrotra, Sandesh Rao Mattu, Robert Calderbank
Comments: 6 pages, 3 figures, to be submitted to IEEE for possible publication
Subjects: Signal Processing (eess.SP) ; Information Theory (cs.IT)
[4508] arXiv:2510.15201 (cross-list from cs.LG) [cn-pdf, pdf, other]
Title: Automotive Crash Dynamics Modeling Accelerated with Machine Learning
Title: 汽车碰撞动力学建模通过机器学习加速
Mohammad Amin Nabian, Sudeep Chavare, Deepak Akhare, Rishikesh Ranade, Ram Cherukuri, Srinivas Tadepalli
Subjects: Machine Learning (cs.LG) ; Artificial Intelligence (cs.AI) ; Numerical Analysis (math.NA) ; Applied Physics (physics.app-ph) ; Computational Physics (physics.comp-ph)
[4509] arXiv:2510.15222 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Stress-Aware Learning under KL Drift via Trust-Decayed Mirror Descent
Title: 基于信任衰减镜像下降的KL漂移下的应力感知学习
Gabriel Nixon Raj
Subjects: Machine Learning (cs.LG) ; Statistics Theory (math.ST)
[4510] arXiv:2510.15229 (cross-list from cs.RO) [cn-pdf, pdf, html, other]
Title: A Generalized Sylvester-Fermat-Torricelli problem with application in disaster relief operations by UAVs
Title: 一种广义的西尔维斯特-费马-托里切利问题及其在无人机灾难救援操作中的应用
Sina Kazemdehbashi, Yanchao Liu, Boris S. Mordukhovich
Subjects: Robotics (cs.RO) ; Optimization and Control (math.OC)
[4511] arXiv:2510.15243 (cross-list from quant-ph) [cn-pdf, pdf, html, other]
Title: Quantum Voting Protocol for Centralized and Distributed Voting Based on Phase-Flip Counting
Title: 基于相位翻转计数的集中式和分布式投票的量子投票协议
Ali Emre Aydin, Ammar Daskin
Comments: 9 pages, 1 figure. Comments are wwelcome
Subjects: Quantum Physics (quant-ph) ; Information Theory (cs.IT)
[4512] arXiv:2510.15273 (cross-list from stat.ML) [cn-pdf, pdf, html, other]
Title: Foresighted Online Policy Optimization with Interference
Title: 具有干扰的前瞻性在线策略优化
Liner Xiang, Jiayi Wang, Hengrui Cai
Subjects: Machine Learning (stat.ML) ; Machine Learning (cs.LG) ; Statistics Theory (math.ST) ; Methodology (stat.ME)
[4513] arXiv:2510.15284 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Small Ensemble-based Data Assimilation: A Machine Learning-Enhanced Data Assimilation Method with Limited Ensemble Size
Title: 基于小集合的数据同化:一种机器学习增强的数据同化方法,具有有限的集合大小
Zhilin Li, Zhou Yao, Xianglong Li, Zeng Liu, Zhaokuan Lu, Shanlin Xu, Seungnam Kim, Guangyao Wang
Subjects: Machine Learning (cs.LG) ; Statistics Theory (math.ST)
[4514] arXiv:2510.15287 (cross-list from quant-ph) [cn-pdf, pdf, html, other]
Title: Second-order discretization of Dyson series: iterative method, numerical analysis and applications in open quantum systems
Title: 二阶Dyson级数离散化:迭代方法,数值分析及其在开放量子系统中的应用
Zhenning Cai, Yixiao Sun, Geshuo Wang
Subjects: Quantum Physics (quant-ph) ; Numerical Analysis (math.NA)
[4515] arXiv:2510.15288 (cross-list from q-fin.PM) [cn-pdf, pdf, html, other]
Title: Portfolio Optimization of Indonesian Banking Stocks Using Robust Optimization
Title: 印尼银行业股票的稳健优化组合优化
Visca Tri Winarty, Sena Safarina
Subjects: Portfolio Management (q-fin.PM) ; Optimization and Control (math.OC)
[4516] arXiv:2510.15293 (cross-list from physics.comp-ph) [cn-pdf, pdf, html, other]
Title: Constrained bilinear optimal control of reactive evolution equations
Title: 约束双线性最优控制的反应演化方程
Zhexian Li, Felipe de Barros, Ketan Savla
Comments: 38 pages, 7 figures
Subjects: Computational Physics (physics.comp-ph) ; Optimization and Control (math.OC)
[4517] arXiv:2510.15337 (cross-list from stat.ML) [cn-pdf, pdf, html, other]
Title: Transfer Learning for Benign Overfitting in High-Dimensional Linear Regression
Title: 高维线性回归中的良性过拟合迁移学习
Yeichan Kim, Ilmun Kim, Seyoung Park
Comments: 42 pages, 4 figures, 2 tables, 1 algorithm; camera-ready version accepted at NeurIPS 2025 (Spotlight)
Subjects: Machine Learning (stat.ML) ; Machine Learning (cs.LG) ; Statistics Theory (math.ST)
[4518] arXiv:2510.15341 (cross-list from quant-ph) [cn-pdf, pdf, html, other]
Title: Generalized Boundary Conditions for the qBounce Experiment
Title: qBounce实验的广义边界条件
Eric J. Sung, Benjamin Koch, Tobias Jenke, Hartmut Abele, Denys I. Bondar
Comments: 18 pages, 6 figures, 1 table
Subjects: Quantum Physics (quant-ph) ; General Relativity and Quantum Cosmology (gr-qc) ; Mathematical Physics (math-ph)
[4519] arXiv:2510.15380 (cross-list from cs.CR) [cn-pdf, pdf, html, other]
Title: Bilinear Compressive Security
Title: 双线性压缩安全性
Axel Flinth, Hubert Orlicki, Semira Einsele, Gerhard Wunder
Subjects: Cryptography and Security (cs.CR) ; Information Theory (cs.IT) ; Signal Processing (eess.SP)
[4520] arXiv:2510.15473 (cross-list from cs.DC) [cn-pdf, pdf, html, other]
Title: (Almost) Perfect Discrete Iterative Load Balancing
Title: (几乎)完美的离散迭代负载平衡
Petra Berenbrink, Robert Elsässer, Tom Friedetzky, Hamed Hosseinpour, Dominik Kaaser, Peter Kling, Thomas Sauerwald
Subjects: Distributed, Parallel, and Cluster Computing (cs.DC) ; Probability (math.PR)
[4521] arXiv:2510.15508 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Theoretical Refinement of CLIP by Utilizing Linear Structure of Optimal Similarity
Title: CLIP理论精炼通过利用最优相似性的线性结构
Naoki Yoshida, Satoshi Hayakawa, Yuhta Takida, Toshimitsu Uesaka, Hiromi Wakaki, Yuki Mitsufuji
Subjects: Machine Learning (cs.LG) ; Numerical Analysis (math.NA) ; Machine Learning (stat.ML)
[4522] arXiv:2510.15632 (cross-list from stat.ME) [cn-pdf, pdf, html, other]
Title: Robust Estimation of Polyserial Correlation
Title: 稳健的多序列相关系数估计
Max Welz
Comments: 64 pages (30 main text), 16 figures and 5 tables in total
Subjects: Methodology (stat.ME) ; Statistics Theory (math.ST) ; Applications (stat.AP)
[4523] arXiv:2510.15644 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Decentralized Parameter-Free Online Learning
Title: 去中心化无参数在线学习
Tomas Ortega, Hamid Jafarkhani
Subjects: Machine Learning (cs.LG) ; Signal Processing (eess.SP) ; Optimization and Control (math.OC)
[4524] arXiv:2510.15651 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Deep Neural ODE Operator Networks for PDEs
Title: 深度神经ODE算子网络用于偏微分方程
Ziqian Li, Kang Liu, Yongcun Song, Hangrui Yue, Enrique Zuazua
Subjects: Machine Learning (cs.LG) ; Numerical Analysis (math.NA) ; Optimization and Control (math.OC)
[4525] arXiv:2510.15658 (cross-list from nlin.PS) [cn-pdf, pdf, html, other]
Title: Synchronization of nonlinearly coupled Stuart-Landau oscillators on networks
Title: 非线性耦合的网络上Stuart-Landau振子的同步
Wilfried Segnou, Riccardo Muolo, Marie Dorchain, Hiroya Nakao, Timoteo Carletti
Subjects: Pattern Formation and Solitons (nlin.PS) ; Statistical Mechanics (cond-mat.stat-mech) ; Dynamical Systems (math.DS)
[4526] arXiv:2510.15735 (cross-list from gr-qc) [cn-pdf, pdf, html, other]
Title: Scalar fields with power-law potentials in quantum cosmology
Title: 标量场在量子宇宙学中的幂律势能
V. E. Kuzmichev, V. V. Kuzmichev (Bogolyubov Institute for Theoretical Physics)
Comments: 12 pages
Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Mathematical Physics (math-ph) ; Quantum Physics (quant-ph)
[4527] arXiv:2510.15805 (cross-list from cs.CY) [cn-pdf, pdf, other]
Title: Quantifying the Engagement Effectiveness of Cyber Cognitive Attacks: A Behavioral Metric for Disinformation Campaigns
Title: 量化网络认知攻击的参与效果:一种虚假信息宣传活动的行为度量
Bonnie Rushing, Shouhuai Xu
Comments: University of Colorado Colorado Springs and Department of the Air Force, US Air Force Academy. Disclaimer: The views expressed are those of the author and do not reflect the official policy or position of the US Air Force Academy, US Air Force, Department of Defense, or the US Government
Subjects: Computers and Society (cs.CY) ; Human-Computer Interaction (cs.HC) ; Information Theory (cs.IT) ; Social and Information Networks (cs.SI)
[4528] arXiv:2510.15810 (cross-list from eess.SP) [cn-pdf, pdf, html, other]
Title: Resilient Full-Duplex ISAC in the Face of Imperfect SI Cancellation: Globally Optimal Timeslot Allocation and Beam Selection
Title: 面对不完善的干扰消除的弹性全双工ISAC:全局最优时隙分配和波束选择
Luis F. Abanto-Leon, Setareh Maghsudi
Comments: European Wireless Conference (EW 2025)
Subjects: Signal Processing (eess.SP) ; Information Theory (cs.IT)
[4529] arXiv:2510.15850 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Self-Certifying Primal-Dual Optimization Proxies for Large-Scale Batch Economic Dispatch
Title: 用于大规模批次经济调度的自认证原始对偶优化代理
Michael Klamkin, Mathieu Tanneau, Pascal Van Hentenryck
Subjects: Machine Learning (cs.LG) ; Artificial Intelligence (cs.AI) ; Optimization and Control (math.OC)
[4530] arXiv:2510.15934 (cross-list from q-fin.RM) [cn-pdf, pdf, html, other]
Title: Probability equivalent level for CoVaR and VaR in bivariate Student-\textit{t} copulas with application to foreign exchange risk monitoring
Title: 二元学生t-\textit{t} copulas中CoVaR和VaR的概率等价水平及其在外汇风险监测中的应用
Daniela I. Flores-Silva, Miguel A. Sordo, Alfonso Suárez-Llorens
Comments: 25 pages,5 figures
Subjects: Risk Management (q-fin.RM) ; Probability (math.PR)
[4531] arXiv:2510.15935 (cross-list from cs.ET) [cn-pdf, pdf, html, other]
Title: Quantum Approximate Optimization Algorithm for MIMO with Quantized b-bit Beamforming
Title: 用于具有量化b位波束成形的MIMO的量子近似优化算法
Nikos A Mitsiou, Ioannis Krikidis, George K Karagiannidis
Subjects: Emerging Technologies (cs.ET) ; Information Theory (cs.IT) ; Quantum Physics (quant-ph)
[4532] arXiv:2510.15984 (cross-list from q-fin.PR) [cn-pdf, pdf, html, other]
Title: Berms without Calibration
Title: 无校准的堤坝
K.E. Feldman
Subjects: Pricing of Securities (q-fin.PR) ; Probability (math.PR) ; Mathematical Finance (q-fin.MF)
[4533] arXiv:2510.15988 (cross-list from q-fin.TR) [cn-pdf, pdf, html, other]
Title: On Bellman equation in the limit order optimization problem for high-frequency trading
Title: 关于高频交易中极限订单优化问题的Bellman方程
M.I. Balakaeva, A.Yu. Veretennikov
Comments: 19 pages, 7 references
Subjects: Trading and Market Microstructure (q-fin.TR) ; Probability (math.PR) ; Mathematical Finance (q-fin.MF)
[4534] arXiv:2510.16002 (cross-list from physics.ao-ph) [cn-pdf, pdf, html, other]
Title: Asymptotically well-balanced geostrophic reconstruction finite volumes numerical schemes for the 2D rotating NLSWE in spherical coordinates
Title: 适用于球坐标系下二维旋转NLSWE的渐近良好平衡地转重构有限体积数值格式
Alejandro González del Pino, Manuel Jesús Castro Díaz, Jorge Macías Sánchez
Comments: 29 pages, 9 figures, 1 supplementary file
Subjects: Atmospheric and Oceanic Physics (physics.ao-ph) ; Numerical Analysis (math.NA) ; Fluid Dynamics (physics.flu-dyn)
[4535] arXiv:2510.16055 (cross-list from cs.DS) [cn-pdf, pdf, other]
Title: Is Zadeh's Least-Entered Pivot Rule Exponential?
Title: 扎德的最小进入单纯形法规则是指数级的吗?
Norman Zadeh
Comments: 8 pages, 1 figure
Subjects: Data Structures and Algorithms (cs.DS) ; Optimization and Control (math.OC)
[4536] arXiv:2510.16084 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Near-Equilibrium Propagation training in nonlinear wave systems
Title: 非平衡传播训练在非线性波系统中
Karol Sajnok, Michał Matuszewski
Comments: 7 figures
Subjects: Machine Learning (cs.LG) ; Quantum Gases (cond-mat.quant-gas) ; Mathematical Physics (math-ph) ; Optics (physics.optics)
[4537] arXiv:2510.16120 (cross-list from astro-ph.CO) [cn-pdf, pdf, html, other]
Title: Spectral Chebyshev Approximation of Cosmic Expansion in $f(R)$ Gravity
Title: 宇宙膨胀在$f(R)$引力中的谱切比雪夫近似
Akshay Rana
Comments: 30 pages, flowcharts explaining the method, and a detailed appendix
Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO) ; General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph)
[4538] arXiv:2510.16132 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: A Minimal-Assumption Analysis of Q-Learning with Time-Varying Policies
Title: 基于时变策略的Q学习的最小假设分析
Phalguni Nanda, Zaiwei Chen
Comments: 43 pages, 4 figures
Subjects: Machine Learning (cs.LG) ; Optimization and Control (math.OC) ; Machine Learning (stat.ML)
[4539] arXiv:2510.16208 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Explore-then-Commit for Nonstationary Linear Bandits with Latent Dynamics
Title: 探索然后承诺用于具有潜在动态的非平稳线性老虎机
Sunmook Choi, Yahya Sattar, Yassir Jedra, Maryam Fazel, Sarah Dean
Subjects: Machine Learning (cs.LG) ; Systems and Control (eess.SY) ; Optimization and Control (math.OC) ; Machine Learning (stat.ML)
[4540] arXiv:2510.16214 (cross-list from quant-ph) [cn-pdf, pdf, html, other]
Title: Commuting Embeddings for Parallel Strategies in Non-local Games
Title: 非局部博弈中并行策略的交换嵌入
Sarah Chehade, Andrea Delgado, Elaine Wong
Comments: 17 pages, 2 figures
Subjects: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph)
[4541] arXiv:2510.16216 (cross-list from q-bio.NC) [cn-pdf, pdf, html, other]
Title: Topological decoding of grid cell activity via path lifting to covering spaces
Title: 通过到覆盖空间的路径提升进行网格细胞活动的拓扑解码
Yuxing Jared Yao, Iris H.R. Yoon
Subjects: Neurons and Cognition (q-bio.NC)
[4542] arXiv:2510.16262 (cross-list from eess.SY) [cn-pdf, pdf, html, other]
Title: Spatial-to-Spectral Harmonic-Modulated Arrays for 6G Multi-Beam MIMO
Title: 用于6G多波束MIMO的空域到频域谐波调制阵列
Jose Guajardo, Ali Niknejad
Subjects: Systems and Control (eess.SY) ; Information Theory (cs.IT)
[4543] arXiv:2510.16284 (cross-list from cs.DC) [cn-pdf, pdf, html, other]
Title: Communication-Efficient and Memory-Aware Parallel Bootstrapping using MPI
Title: 使用MPI的通信高效且内存感知的并行置乱方法
Di Zhang
Comments: 6 pages
Subjects: Distributed, Parallel, and Cluster Computing (cs.DC) ; Mathematical Software (cs.MS) ; Numerical Analysis (math.NA) ; Computation (stat.CO)
[4544] arXiv:2510.16312 (cross-list from physics.soc-ph) [cn-pdf, pdf, other]
Title: Predictability of Complex Systems
Title: 复杂系统的可预测性
En Xu, Yilin Bi, Hongwei Hu, Xin Chen, Zhiwen Yu, Yong Li, Yanqing Hu, Tao Zhou
Subjects: Physics and Society (physics.soc-ph) ; Graphics (cs.GR) ; Information Theory (cs.IT) ; Systems and Control (eess.SY) ; Mathematical Physics (math-ph) ; Adaptation and Self-Organizing Systems (nlin.AO)
[4545] arXiv:2510.16356 (cross-list from cs.LG) [cn-pdf, pdf, html, other]
Title: Sparse Transformer Architectures via Regularized Wasserstein Proximal Operator with $L_1$ Prior
Title: 通过带有$L_1$先验的正则化Wasserstein邻近算子的稀疏Transformer架构
Fuqun Han, Stanley Osher, Wuchen Li
Subjects: Machine Learning (cs.LG) ; Optimization and Control (math.OC) ; Machine Learning (stat.ML)
[4546] arXiv:2510.16362 (cross-list from physics.plasm-ph) [cn-pdf, pdf, html, other]
Title: Relativistic Magnetohydrodynamic Wave Excitation by Laser Pulse in a Magnetized Plasma
Title: 相对论磁流体动力学波在磁化等离子体中由激光脉冲激发
Zohreh Hashempour, Mehdi Nasri Nasrabadi, Nora Nassiri-Mofakham, Hamidreza Daniali
Comments: 14 pages, no figures. Accepted in Pramana Journal of Physics
Subjects: Plasma Physics (physics.plasm-ph) ; Mathematical Physics (math-ph)
[4547] arXiv:2510.16504 (cross-list from stat.ME) [cn-pdf, pdf, html, other]
Title: Rank-based concordance for zero-inflated data: New representations, estimators, and sharp bounds
Title: 基于等级的一致性对于零膨胀数据:新的表示、估计量和精确界限
Jasper Arends, Guanjie Lyu, Mhamed Mesfioui, Elisa Perrone, Julien Trufin
Subjects: Methodology (stat.ME) ; Statistics Theory (math.ST)
[4548] arXiv:2510.16509 (cross-list from stat.ML) [cn-pdf, pdf, other]
Title: A Bayesian Framework for Symmetry Inference in Chaotic Attractors
Title: 一种用于混沌吸引子对称性推断的贝叶斯框架
Ziad Ghanem, Chang Hyunwoong, Preskella Mrad
Subjects: Machine Learning (stat.ML) ; Dynamical Systems (math.DS)
[4549] arXiv:2510.16543 (cross-list from hep-th) [cn-pdf, pdf, html, other]
Title: On Time-Evolution in Quantum Gravity
Title: 关于量子引力中的时间演化
Lasha Berezhiani, Gia Dvali, Otari Sakhelashvili
Comments: 13 pages
Subjects: High Energy Physics - Theory (hep-th) ; General Relativity and Quantum Cosmology (gr-qc) ; Mathematical Physics (math-ph)
[4550] arXiv:2510.16545 (cross-list from cs.DM) [cn-pdf, pdf, html, other]
Title: Random generation of universal cycles and de Bruijn sequences
Title: 通用循环和德布鲁因序列的随机生成
Joe Sawada, Daniel Gabrić
Subjects: Discrete Mathematics (cs.DM) ; Combinatorics (math.CO)
Total of 4832 entries : 1-50 ... 4351-4400 4401-4450 4451-4500 4501-4550 4551-4600 4601-4650 4651-4700 ... 4801-4832
Showing up to 50 entries per page: fewer | more | all
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