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Is Shuma the Chinese Analog of Soma/Haoma? a Study of Early Contacts Between Indo-Iranians and Chinese
SINO-PLATONIC PAPERS Number 216 October, 2011 Is Shuma the Chinese Analog of Soma/Haoma? A Study of Early Contacts between Indo-Iranians and Chinese by ZHANG He Victor H. Mair, Editor Sino-Platonic Papers Department of East Asian Languages and Civilizations University of Pennsylvania Philadelphia, PA 19104-6305 USA [email protected] www.sino-platonic.org SINO-PLATONIC PAPERS FOUNDED 1986 Editor-in-Chief VICTOR H. MAIR Associate Editors PAULA ROBERTS MARK SWOFFORD ISSN 2157-9679 (print) 2157-9687 (online) SINO-PLATONIC PAPERS is an occasional series dedicated to making available to specialists and the interested public the results of research that, because of its unconventional or controversial nature, might otherwise go unpublished. The editor-in-chief actively encourages younger, not yet well established, scholars and independent authors to submit manuscripts for consideration. Contributions in any of the major scholarly languages of the world, including romanized modern standard Mandarin (MSM) and Japanese, are acceptable. In special circumstances, papers written in one of the Sinitic topolects (fangyan) may be considered for publication. Although the chief focus of Sino-Platonic Papers is on the intercultural relations of China with other peoples, challenging and creative studies on a wide variety of philological subjects will be entertained. This series is not the place for safe, sober, and stodgy presentations. Sino- Platonic Papers prefers lively work that, while taking reasonable risks to advance the field, capitalizes on brilliant new insights into the development of civilization. Submissions are regularly sent out to be refereed, and extensive editorial suggestions for revision may be offered. Sino-Platonic Papers emphasizes substance over form. -
Symmetric Coverage of Dynamic Mapping Error for Mobile Sensor Networks
2011 American Control Conference on O'Farrell Street, San Francisco, CA, USA June 29 - July 01, 2011 Symmetric coverage of dynamic mapping error for mobile sensor networks Carlos H. Caicedo-Nu´nez˜ and Naomi Ehrich Leonard Abstract—We present an approach to control design for nonuniform density fields. Related problems include control a mobile sensor network tasked with sampling a scalar field of a mobile sensor network in a noisy, possibly time-varying and providing optimal space-time measurements. The coverage field for minimum-error spatial estimation [9], [10] and metric is derived from the mapping error in objective analysis (OA), an assimilation scheme that provides a linear statistical cooperative exploration of features [11]. In [12] agents are estimation of a sampled field. OA mapping error is an example deployed in a distributed way in order to maximize the of a consumable density field: the error decreases dynamically probability of event detection. The authors of [13] study the at locations where agents move and sample. OA mapping error distributed implementation of maximizing joint entropy in is also a regenerating density field if the sampled field is measurements. However, none of these methods have been time-varying: error increases over time as measurement value decays. The resulting optimal coverage problem presents a chal- designed to specifically address a spatial-temporal density lenge to traditional coverage methods. We prove a symmetric field that changes in response to the motion of the agents. dynamic coverage solution that exploits the symmetry of the In this paper we propose a coverage strategy for a density domain and yields symmetry-preserving coordinated motion field defined by OA mapping error in the case that the of mobile sensors. -
Final Program of CCC2020
第三十九届中国控制会议 The 39th Chinese Control Conference 程序册 Final Program 主办单位 中国自动化学会控制理论专业委员会 中国自动化学会 中国系统工程学会 承办单位 东北大学 CCC2020 Sponsoring Organizations Technical Committee on Control Theory, Chinese Association of Automation Chinese Association of Automation Systems Engineering Society of China Northeastern University, China 2020 年 7 月 27-29 日,中国·沈阳 July 27-29, 2020, Shenyang, China Proceedings of CCC2020 IEEE Catalog Number: CFP2040A -USB ISBN: 978-988-15639-9-6 CCC2020 Copyright and Reprint Permission: This material is permitted for personal use. For any other copying, reprint, republication or redistribution permission, please contact TCCT Secretariat, No. 55 Zhongguancun East Road, Beijing 100190, P. R. China. All rights reserved. Copyright@2020 by TCCT. 目录 (Contents) 目录 (Contents) ................................................................................................................................................... i 欢迎辞 (Welcome Address) ................................................................................................................................1 组织机构 (Conference Committees) ...................................................................................................................4 重要信息 (Important Information) ....................................................................................................................11 口头报告与张贴报告要求 (Instruction for Oral and Poster Presentations) .....................................................12 大会报告 (Plenary Lectures).............................................................................................................................14 -
Journal of Computational and Applied Mathematics Numerical Integration
Journal of Computational and Applied Mathematics 233 (2009) 279–292 Contents lists available at ScienceDirect Journal of Computational and Applied Mathematics journal homepage: www.elsevier.com/locate/cam Numerical integration over polygons using an eight-node quadrilateral spline finite elementI Chong-Jun Li a,∗, Paola Lamberti b, Catterina Dagnino b a School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China b Department of Mathematics, University of Torino, via C. Alberto, 10 Torino 10123, Italy article info a b s t r a c t Article history: In this paper, a cubature formula over polygons is proposed and analysed. It is based Received 9 February 2009 on an eight-node quadrilateral spline finite element [C.-J. Li, R.-H. Wang, A new 8-node Received in revised form 8 July 2009 quadrilateral spline finite element, J. Comp. Appl. Math. 195 (2006) 54–65] and is exact for quadratic polynomials on arbitrary convex quadrangulations and for cubic polynomials on MSC: rectangular partitions. The convergence of sequences of the above cubatures is proved for 65D05 continuous integrand functions and error bounds are derived. Some numerical examples 65D07 are given, by comparisons with other known cubatures. 65D30 65D32 ' 2009 Elsevier B.V. All rights reserved. Keywords: Numerical integration Spline finite element method Bivariate splines Triangulated quadrangulation 1. Introduction The problem considered in this paper is the numerical evaluation of Z IΩ .f / D f .x; y/dxdy; (1) Ω 2 where f 2 C.Ω/ and Ω is a polygonal domain in R , i.e. a domain with the boundary composed of piecewise straight lines. -
MATHEMATICAL TRIPOS Part IB 2017
MATHEMATICALTRIPOS PartIB 2017 List of Courses Analysis II Complex Analysis Complex Analysis or Complex Methods Complex Methods Electromagnetism Fluid Dynamics Geometry Groups, Rings and Modules Linear Algebra Markov Chains Methods Metric and Topological Spaces Numerical Analysis Optimisation Quantum Mechanics Statistics Variational Principles Part IB, 2017 List of Questions [TURN OVER 2 Paper 3, Section I 2G Analysis II What does it mean to say that a metric space is complete? Which of the following metric spaces are complete? Briefly justify your answers. (i) [0, 1] with the Euclidean metric. (ii) Q with the Euclidean metric. (iii) The subset (0, 0) (x, sin(1/x)) x> 0 R2 { } ∪ { | }⊂ with the metric induced from the Euclidean metric on R2. Write down a metric on R with respect to which R is not complete, justifying your answer. [You may assume throughout that R is complete with respect to the Euclidean metric.] Paper 2, Section I 3G Analysis II Let X R. What does it mean to say that a sequence of real-valued functions on ⊂ X is uniformly convergent? Let f,f (n > 1): R R be functions. n → (a) Show that if each fn is continuous, and (fn) converges uniformly on R to f, then f is also continuous. (b) Suppose that, for every M > 0, (f ) converges uniformly on [ M, M]. Need n − (fn) converge uniformly on R? Justify your answer. Paper 4, Section I 3G Analysis II State the chain rule for the composition of two differentiable functions f : Rm Rn → and g : Rn Rp. → Let f : R2 R be differentiable. -
A Complete Bibliography of Publications in the Proceedings of the VLDB Endowment
A Complete Bibliography of Publications in the Proceedings of the VLDB Endowment Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 13 April 2021 Version 1.59 Title word cross-reference * [2218]. -approximate [1221, 184]. -automorphism [249]. -center [1996]. -clique [2343, 2278]. -cliques [571]. -core [2188, 815, 1712, 1453]. (k;r) [1712]. ++ [624]. 3 [2239, 338, 1997]. + -DB [1088]. -gram [2141]. -grams [1002]. [1838]. 2 [1588]. [2467]. c [1221]. [184]. γ -graph [1647]. -hop [2009]. -means [1088]. K [624, 1691]. -nearest [1493, 1692]. [1453, 1493, 624, 29, 1913, 901, 373, 1692, -Nearest-Neighbor [87]. -partite [2346]. 1996, 1266, 1006, 2440, 1035, 2012, 1490, 21, -path [1081]. -ranks [1070]. -regret 198, 1222, 424, 1340, 959, 1443, 609, 1081, [1035, 1443]. -tree [2350, 596]. -trees [1288]. 1284, 1937, 86, 1691, 968, 2315, 27, 1231, 1800, -uncertainty [432]. 2188, 2343, 1836, 657, 1879, 785, 1819, 1899, 2270, 854, 666, 586, 520, 815, 1387, 2163, 811, 11g [110, 112, 283]. 12c [1780, 1374]. 1791, 2278, 1248, 372, 564, 1501, 87, 417, 1213, 1272, 49, 1036, 1070, 1503, 2170, 249]. 2.0 [126, 2079, 2113, 1158]. 2014 [1187]. 2R k∗ [2346]. k=2 [2009]. l [591]. L [1647]. n 1 [2305]. 2X [1506]. [2141, 1002]. r [571]. ρ [432]. s [2003, 2195]. t [2003, 2195]. 1 2 3X [54, 362]. -
Complex Analysis
University of Cambridge Mathematics Tripos Part IB Complex Analysis Lent, 2018 Lectures by G. P. Paternain Notes by Qiangru Kuang Contents Contents 1 Basic notions 2 1.1 Complex differentiation ....................... 2 1.2 Power series .............................. 4 1.3 Conformal maps ........................... 8 2 Complex Integration I 10 2.1 Integration along curves ....................... 10 2.2 Cauchy’s Theorem, weak version .................. 15 2.3 Cauchy Integral Formula, weak version ............... 17 2.4 Application of Cauchy Integration Formula ............ 18 2.5 Uniform limits of holomorphic functions .............. 20 2.6 Zeros of holomorphic functions ................... 22 2.7 Analytic continuation ........................ 22 3 Complex Integration II 24 3.1 Winding number ........................... 24 3.2 General form of Cauchy’s theorem ................. 26 4 Laurent expansion, Singularities and the Residue theorem 29 4.1 Laurent expansion .......................... 29 4.2 Isolated singularities ......................... 30 4.3 Application and techniques of integration ............. 34 5 The Argument principle, Local degree, Open mapping theorem & Rouché’s theorem 38 Index 41 1 1 Basic notions 1 Basic notions Some preliminary notations/definitions: Notation. • 퐷(푎, 푟) is the open disc of radius 푟 > 0 and centred at 푎 ∈ C. • 푈 ⊆ C is open if for any 푎 ∈ 푈, there exists 휀 > 0 such that 퐷(푎, 휀) ⊆ 푈. • A curve is a continuous map from a closed interval 휑 ∶ [푎, 푏] → C. It is continuously differentiable, i.e. 퐶1, if 휑′ exists and is continuous on [푎, 푏]. • An open set 푈 ⊆ C is path-connected if for every 푧, 푤 ∈ 푈 there exists a curve 휑 ∶ [0, 1] → 푈 with endpoints 푧, 푤. -
ICM Problem F Contest Results
2020 Interdisciplinary Contest in Modeling® Press Release—April 24, 2020 COMAP is pleased to announce the results of the 22nd annual that limit the ability to reach this safe level and ways to more Interdisciplinary Contest in Modeling (ICM). This year 7203 teams equitably distribute causes and effects. The F Problem asked students representing institutions from sixteen countries/regions participated in to create an international policy that would address the resettlement the contest. Eighteen teams were designated as OUTSTANDING needs of environmentally displaced persons (those whose homelands representing the following schools: are lost to climate change) while also preserving the cultural heritage of those peoples. This problem required students to evaluate cultural Beijing Forestry University, China significance as well as understand geopolitical issues surrounding Beijing Normal University, China refugees. For all three problems, teams used pertinent data and Brown University, RI, USA (Rachel Carson Award) grappled with how phenomena internal and external to the system Capital University of Economics and Business, China needed to be considered and measured. The student teams produced Dongbei University of Finance and Economics, China creative and relevant solutions to these complex questions and built Donghua University, China models to handle the tasks assigned in the problems. The problems Nanjing University of Posts & Telecommunications, China also required data analysis, creative modeling, and scientific New York University, NY, USA methodology, along with effective writing and visualization to Shanghai Jiao Tong University, China (INFORMS Award) communicate their teams' results in a 20-page report. A selection of Shanghai University of Finance and Economics, China the Outstanding solution papers will be featured in The UMAP South China University of Technology, China Journal, along with commentaries from the problem authors and University of Electronic Science and Technology of China, China judges. -
Pseudo-Conforming Hdiv Polynomial Finite Elements on Quadrilaterals and Hexahedra Eric Dubach, Robert Luce, Jean-Marie Thomas
Pseudo-conforming Hdiv polynomial finite elements on quadrilaterals and hexahedra Eric Dubach, Robert Luce, Jean-Marie Thomas To cite this version: Eric Dubach, Robert Luce, Jean-Marie Thomas. Pseudo-conforming Hdiv polynomial finite elements on quadrilaterals and hexahedra. [Research Report] RR-7466, INRIA. 2010, pp.36. inria-00541184 HAL Id: inria-00541184 https://hal.inria.fr/inria-00541184 Submitted on 30 Nov 2010 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE Pseudo-conforming Hdiv polynomial finite elements on quadrilaterals and hexahedra Eric DUBACH∗, Robert LUCE∗,†, Jean-Marie THOMAS∗ N° 7466 23 nov 2010 Thème NUM apport de recherche ISSN 0249-6399 ISRN INRIA/RR--7466--FR+ENG Pseudo-conforming Hdiv polynomial finite elements on quadrilaterals and hexahedra Eric DUBACH∗, Robert LUCE∗,†, Jean-Marie THOMAS∗∗† Thème NUM — Systèmes numériques Projets Concha Rapport de recherche n° 7466 — 23 nov 2010 — 36 pages Abstract: The aim of this paper is to present a new class of mixed finite elements on quadrilaterals and hexahedra where the approximation is polynomial on each element K. The degrees of freedom are the same as those of classical mixed finite elements. -
Traces of Analytic Solutions of the Heat Equation" Astérisque, Tome 2-3 (1973), P
Astérisque N. ARONSZAJN Preliminary notes for the talk "Traces of analytic solutions of the heat equation" Astérisque, tome 2-3 (1973), p. 5-34 <http://www.numdam.org/item?id=AST_1973__2-3__5_0> © Société mathématique de France, 1973, tous droits réservés. L’accès aux archives de la collection « Astérisque » (http://smf4.emath.fr/ Publications/Asterisque/) implique l’accord avec les conditions générales d’uti- lisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ ANALYTIC SOLUTIONS OF HEAT EQUATIONS PRELIMINARY NOTES FOR THE TALK "TRACES OF ANALYTIC SOLUTIONS OF THE HEAT EQUATION" by N. Aronszajn Préface In this paper necessary preliminaries are given for understanding the talk "Traces of analytic solutions of the heat équation. " Since the talk is restricted to one hour, it is hoped that the audience will have had a chance to look over thèse preparatory notes. No proofs are given here. Some of the proofs in Chapter I and ail the proofs for Chapter II will be published in a forthcoming mono- graph on polyharmonic functions which is referred to in this paper as PHF. Contents. Chapter I. General analytic functions. §1. Notations. §2. Entire functions; exponential order and type. §3 A new type of Cauchy formula; Almansi expansion. §4. Analytic functionals. §5, Symbolic intégrais. Chapter II. Polyharmonic functions. §1. General définitions and properties; Laplacian order and type, §2, Almansi development of polyharmonic functions. -
Generic 2-Parameter Perturbations of Parabolic Singular Points of Vector Fields in C
CONFORMAL GEOMETRY AND DYNAMICS An Electronic Journal of the American Mathematical Society Volume 22, Pages 141–184 (September 7, 2018) https://doi.org/10.1090/ecgd/325 GENERIC 2-PARAMETER PERTURBATIONS OF PARABOLIC SINGULAR POINTS OF VECTOR FIELDS IN C MARTIN KLIMESˇ AND CHRISTIANE ROUSSEAU Abstract. We describe the equivalence classes of germs of generic 2-parameter families of complex vector fieldsz ˙ = ω(z)onC unfolding a singular parabolic k+1 k+1 point of multiplicity k +1: ω0 = z + o(z ). The equivalence is under conjugacy by holomorphic change of coordinate and parameter. As a prepara- tory step, we present the bifurcation diagram of the family of vector fields k+1 1 z˙ = z + 1z + 0 over CP . This presentation is done using the new tools of periodgon and star domain. We then provide a description of the modulus space and (almost) unique normal forms for the equivalence classes of germs. 1. Introduction Natural local bifurcations of analytic vector fields over C occur at multiple sin- gular points. If a singular point has multiplicity k + 1, hence codimension k,ithas a universal unfolding in a k-parameter family. A normal form has been given by Kostov [Ko] for such vector fields, namely k+1 k−1 z + − z + ···+ z + z˙ = k 1 1 0 1+A()zk and the almost uniqueness of this normal form was shown in Theorem 3.5 of [RT], thus showing that the parameters of the normal form are canonical. But what happens if the codimension k singularity occurs inside a family de- pending on m<kparameters? The paper [CR] completely settles the generic situation in the case m = 1. -
2019 IEEE PES Innovative Smart Grid Technologies Asia ISGT ASIA 2019
2019 IEEE PES Innovative Smart Grid Technologies Asia ISGT ASIA 2019 Conference Program Organized by May 21-24, 2019 Chengdu, China INTERNATIONAL ADVISORY BOARD ISGT 2019 ORGANIZING COMMITTEE ISGT 2019 TECHNICAL COMMITTEE Alphabetical Order of the Last Name Abhisek Ukil, The University of Auckland Hui Ma, The University of Queensland Ahmad Zahedi, James Cook University Huifen Zhang, University of Jinan Ali Alouani, Tenessee Technology University Jaesung Jung, Ajou University Amit Kumar, B T K I T DWARAHAT Jiabing Hu, Huazhong University of Science and Anan Zhang, Southwest Petroleum University Technology Arsalan Habib Khawaja, National University of Science Jiajun Duan, GEIRI North America and Technology Jian-Tang Liao, National Cheng Kung University Ashkan Yousefi, University of California, Berkeley Jianxue Wang, Xi’an Jiaotong University Babar Hussain, PIEAS Jianxue Wang, Xi’an Jiaotong University Baorong Zhou, China Southern Power Grid Jie Wu, Sichuan Electric Power Research Institute Baorong Zhou, China Southern Power Grid Jinghua Li, Guangxi Key Laboratory of Power System Binbin Li, Harbin Institute of Technology Optimization and Energy Technology Biyun Chen, Guangxi Key Laboratory of Power System Jingru Li, State Grid Economic and Technological Optimization and Energy Technology (Guangxi Research Institute University) Jinrui Tang, Wuhan University of Technology Bo Hu, Chongqing University Jun Liang, Cardiff University Can Hu, State Grid Sichuan Company Junbo Zhao, Virginia Tech Can Huang, Lawrence Livermore National Laboratory Junjie