Discrete Mathematics and Theoretical Computer Science Proceedings AA (DM-CCG), 2001, 329–3
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刊名简称刊名全称ISSN小类名称(中文)0269-9648工程:工业PROBABILITY IN THE ENGINEERING AND INFORPROBAB ENG INFORAPPL MATH MODEL A PPLIED MATHEMATICAL MODELLING0307-904X工程:综合0927-6467工程:综合RUSS J NUMER ANARUSSIAN JOURNAL OF NUMERICAL ANALYSIS AN1239-6095环境科学ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MBOREAL ENVIRON R0167-9473计算机:跨学科应用COMPUT STAT DATACOMPUTATIONAL STATISTICS & DATA ANALYSISJ COMB OPTIM JOURNAL OF COMBINATORIAL OPTIMIZATION1382-6905计算机:跨学科应用0094-9655计算机:跨学科应用J STAT COMPUT SIJOURNAL OF STATISTICAL COMPUTATION AND S1387-3954计算机:跨学科应用MATH COMP MODELMATHEMATICAL AND COMPUTER MODELLING OF DMATHEMATICAL AND COMPUTER MODELLING0895-7177计算机:跨学科应用MATH COMPUT MODEMATHEMATICS AND COMPUTERS IN SIMULATION0378-4754计算机:跨学科应用MATH COMPUT SIMUQUEUEING SYST QUEUEING SYSTEMS0257-0130计算机:跨学科应用1615-3375计算机:理论方法FOUNDATIONS OF COMPUTATIONAL MATHEMATICSFOUND COMPUT MATFUZZY SET SYSTFUZZY SETS AND SYSTEMS0165-0114计算机:理论方法COMPUT COMPLEXCOMPUTATIONAL COMPLEXITY1016-3328计算机:理论方法STAT COMPUT STATISTICS AND 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THEOFixed Point Theory 1583-5022数学Fixed Point Theory and Applications 1687-1820数学FIXED POINT THEOFOUNDATIONS OF COMPUTATIONAL MATHEMATICS1615-3375数学FOUND COMPUT MATGEOM FUNCT ANAL G EOMETRIC AND FUNCTIONAL ANALYSIS1016-443X数学GEOM TOPOL GEOMETRY & TOPOLOGY1364-0380数学INDIANA U MATH JINDIANA UNIVERSITY MATHEMATICS JOURNAL0022-2518数学1705-5105数学International Journal of Numerical AnalyINT J NUMER ANALJ ALGEBR COMB JOURNAL OF ALGEBRAIC COMBINATORICS0925-9899数学JOURNAL OF ALGEBRAIC GEOMETRY1056-3911数学J ALGEBRAIC GEOM0095-8956数学J COMB THEORY B J OURNAL OF COMBINATORIAL THEORY SERIES BJ CONVEX ANAL JOURNAL OF CONVEX ANALYSIS0944-6532数学JOURNAL OF DIFFERENTIAL EQUATIONS0022-0396数学J DIFFER EQUATIOJ DIFFER GEOM JOURNAL OF DIFFERENTIAL GEOMETRY0022-040X数学1040-7294数学J DYN DIFFER EQUJournal of Dynamics and Differential Equ1435-9855数学J EUR MATH SOCJOURNAL OF THE EUROPEAN MATHEMATICAL SOCJ FUNCT ANAL JOURNAL OF FUNCTIONAL ANALYSIS0022-1236数学1474-7480数学Journal of the Institute of MathematicsJ INST MATH 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STAlgebraic and Geometric Topology 1472-2739数学ALGEBR GEOM TOPOAlgebra & Number Theory1937-0652数学ALGEBR NUMBER THALGEBR REPRESENTALGEBRAS AND REPRESENTATION THEORY1386-923X数学1239-629X数学ANN ACAD SCI FENANNALES ACADEMIAE SCIENTIARUM FENNICAE-MANNALS OF GLOBAL ANALYSIS AND GEOMETRY0232-704X数学ANN GLOB ANAL GEANN I FOURIER ANNALES DE L INSTITUT FOURIER0373-0956数学ANN PURE APPL LOANNALS OF PURE AND APPLIED LOGIC0168-0072数学0391-173X数学ANN SCUOLA NORM-ANNALI DELLA SCUOLA NORMALE SUPERIORE DI1452-8630数学Applicable Analysis and Discrete MathemaAPPL ANAL DISCR0024-6093数学B LOND MATH SOC B ULLETIN OF THE LONDON MATHEMATICAL SOCICALCOLO CALCOLO0008-0624数学0008-414X数学CAN J MATH CANADIAN JOURNAL OF MATHEMATICS-JOURNALCOMMUNICATIONS IN ANALYSIS AND GEOMETRY1019-8385数学COMMUN ANAL GEOM1534-0392数学COMMUNICATIONS ON PURE AND APPLIED ANALYCOMMUN PUR APPLCOMPUT COMPLEXCOMPUTATIONAL COMPLEXITY1016-3328数学0926-2245数学DIFFER GEOM APPLDIFFERENTIAL GEOMETRY AND ITS APPLICATIOELECTRON J COMB E LECTRONIC JOURNAL OF 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OF COMBINATORIAL DESIGNS1063-8539数学0097-3165数学J COMB THEORY A J OURNAL OF COMBINATORIAL THEORY SERIES AJ COMPUT MATH JOURNAL OF COMPUTATIONAL MATHEMATICS0254-9409数学J EVOL EQU JOURNAL OF EVOLUTION EQUATIONS1424-3199数学1661-7738数学J FIX POINT THEOJournal of Fixed Point Theory and Applic0972-6802数学J FUNCT SPACE APJournal of Function Spaces and ApplicatiJ GEOM ANAL JOURNAL OF GEOMETRIC ANALYSIS1050-6926数学J GRAPH THEOR JOURNAL OF GRAPH THEORY0364-9024数学1025-5834数学J INEQUAL APPLJOURNAL OF INEQUALITIES AND APPLICATIONSJ LOND MATH SOC J OURNAL OF THE LONDON MATHEMATICAL SOCIE0024-6107数学0025-5645数学J MATH SOC JPNJOURNAL OF THE MATHEMATICAL SOCIETY OF J1345-4773数学J NONLINEAR CONVJournal of Nonlinear and Convex AnalysisJ NUMER MATH Journal of Numerical Mathematics 1570-2820数学JOURNAL OF PURE AND APPLIED ALGEBRA0022-4049数学J PURE APPL ALGEJ SYMPLECT GEOM J ournal of Symplectic Geometry1527-5256数学JPN J MATH Japanese Journal of Mathematics0289-2316数学K-THEORY K-THEORY0920-3036数学LINEAR & MULTILINEAR 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FOR MATEMATIK0004-2080数学ARS COMBINATORIA0381-7032数学ARS COMBINATORIAASIAN J MATH Asian Journal of Mathematics 1093-6106数学ASTERISQUE ASTERISQUE0303-1179数学0004-9727数学B AUST MATH SOC B ULLETIN OF THE AUSTRALIAN MATHEMATICAL1370-1444数学BULLETIN OF THE BELGIAN MATHEMATICAL SOCB BELG MATH SOC-B BRAZ MATH SOC B ULLETIN BRAZILIAN MATHEMATICAL SOCIETY1678-7544数学1735-8515数学B IRAN MATH SOC B ulletin of the Iranian Mathematical Soc1015-8634数学B KOREAN MATH SOBulletin of the Korean Mathematical Soci0126-6705数学Bulletin of the Malaysian Mathematical SB MALAYS MATH SC1220-3874数学B MATH SOC SCI MBulletin Mathematique de la Societe des0037-9484数学B SOC MATH FR BULLETIN DE LA SOCIETE MATHEMATIQUE DE FBanach Journal of Mathematical Analysis1735-8787数学BANACH J MATH ANCAN MATH BULL CANADIAN MATHEMATICAL BULLETIN-BULLETIN0008-4395数学CENT EUR J MATH C entral European Journal of Mathematics1895-1074数学CHINESE ANNALS OF MATHEMATICS SERIES B0252-9599数学CHINESE ANN MATHCOLLECT MATH Collectanea 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TIME SER ANAL J OURNAL OF TIME SERIES ANALYSIS0143-9782统计学与概率论LIFETIME DATA ANALYSIS1380-7870统计学与概率论LIFETIME DATA ANMATH POPUL STUD M athematical Population Studies0889-8480统计学与概率论METHODOL COMPUT1387-5841统计学与概率论METHODOLOGY AND COMPUTING IN APPLIED PROMETRIKA METRIKA0026-1335统计学与概率论PAK J STAT Pakistan Journal of Statistics1012-9367统计学与概率论0269-9648统计学与概率论PROBABILITY IN THE ENGINEERING AND INFORPROBAB ENG INFORRevista Colombiana de Estadistica0120-1751统计学与概率论REV COLOMB ESTADREVSTAT-STAT JREVSTAT-Statistical Journal1645-6726统计学与概率论SCAND ACTUAR JScandinavian Actuarial Journal0346-1238统计学与概率论Statistical Methods and Applications1618-2510统计学与概率论STAT METHOD APPLSTAT MODEL STATISTICAL MODELLING1471-082X统计学与概率论STAT NEERL STATISTICA NEERLANDICA0039-0402统计学与概率论STAT PAP STATISTICAL PAPERS0932-5026统计学与概率论STATISTICS & PROBABILITY LETTERS0167-7152统计学与概率论STAT PROBABIL LESTAT SINICA STATISTICA SINICA1017-0405统计学与概率论STATISTICS STATISTICS0233-1888统计学与概率论STOCH ANAL APPL S TOCHASTIC ANALYSIS AND APPLICATIONS0736-2994统计学与概率论STOCH DYNAM Stochastics and Dynamics 0219-4937统计学与概率论STOCH MODELS STOCHASTIC MODELS1532-6349统计学与概率论1744-2508统计学与概率论STOCHASTICS Stochastics-An International Journal ofSURV METHODOL Survey Methodology 0714-0045统计学与概率论0040-585X统计学与概率论THEORY OF PROBABILITY AND ITS APPLICATIOTHEOR PROBAB APPUTILITAS MATHEMAUTILITAS MATHEMATICA0315-3681统计学与概率论Journal of Noncommutative Geometry1661-6952物理:数学物理J NONCOMMUT GEOMJ NONLINEAR SCI J OURNAL OF NONLINEAR SCIENCE0938-8974物理:数学物理MULTISCALE MODELING & SIMULATION1540-3459物理:数学物理MULTISCALE MODELINVERSE PROBL INVERSE PROBLEMS0266-5611物理:数学物理Inverse Problems and Imaging1930-8337物理:数学物理INVERSE PROBL IMAdvances in Applied Clifford Algebras0188-7009物理:数学物理ADV APPL CLIFFOR1935-0090物理:数学物理Applied Mathematics & Information SciencAPPL MATH INFORM1559-3940物理:数学物理Communications in Applied Mathematics anCOMM APP MATH COCOMPUTATIONAL MATHEMATICS AND MATHEMATIC0965-5425物理:数学物理COMP MATH MATH PINFINITE DIMENSIONAL ANALYSIS QUANTUM PR0219-0257物理:数学物理INFIN DIMENS ANA0219-8916物理:数学物理Journal of Hyperbolic Differential EquatJ HYPERBOL DIFFE1812-9471物理:数学物理Journal of Mathematical Physics AnalysisJ MATH PHYS ANAL1385-0172物理:数学物理MATHEMATICAL PHYSICS ANALYSIS AND GEOMETMATH PHYS ANAL GNONLINEAR OSCIL N onlinear Oscillations1536-0059物理:数学物理1223-7027物理:综合University Politehnica of Bucharest ScieU POLITEH BUCH SABSTR APPL ANAL A bstract and Applied Analysis 1085-3375应用数学0010-3640应用数学COMMUN PUR APPLCOMMUNICATIONS ON PURE AND APPLIED MATHE0021-7824应用数学JOURNAL DE MATHEMATIQUES PURES ET APPLIQJ MATH PURE APPL0218-2025应用数学MATHEMATICAL MODELS & METHODS IN APPLIEDMATH MOD METH APNONLINEAR ANALYSIS-REAL WORLD APPLICATIO1468-1218应用数学NONLINEAR ANAL-RSIAM REV SIAM REVIEW0036-1445应用数学ADV COMPUT MATH A DVANCES IN COMPUTATIONAL MATHEMATICS1019-7168应用数学Aequationes Mathematicae0001-9054应用数学AEQUATIONES MATHANAL APPL Analysis and Applications0219-5305应用数学ANAL PDE Analysis & PDE1948-206X应用数学ANNALI DI MATEMATICA PURA ED APPLICATA 0373-3114应用数学ANN MAT PUR APPLAPPL MATH COMPUTAPPLIED MATHEMATICS AND COMPUTATION0096-3003应用数学Boundary Value Problems 1687-2762应用数学BOUND VALUE PROBCALCULUS OF VARIATIONS AND PARTIAL DIFFE0944-2669应用数学CALC VAR PARTIALCarpathian Journal of Mathematics1584-2851应用数学CARPATHIAN J MAT0219-1997应用数学COMMUN CONTEMP MCOMMUNICATIONS IN CONTEMPORARY MATHEMATI0360-5302应用数学COMMUN PART DIFFCOMMUNICATIONS IN PARTIAL DIFFERENTIAL E0925-7721应用数学COMPUTATIONAL GEOMETRY-THEORY AND APPLICCOMP GEOM-THEOR1078-0947应用数学DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMDISCRETE CONT DY0764-583X应用数学ESAIM-MATHEMATICAL MODELLING AND NUMERICESAIM-MATH MODELFixed Point Theory 1583-5022应用数学FIXED POINT THEOFixed Point Theory and Applications 1687-1820应用数学FIXED POINT THEO1615-3375应用数学FOUNDATIONS OF COMPUTATIONAL MATHEMATICSFOUND COMPUT MATFUZZY SET SYSTFUZZY SETS AND SYSTEMS0165-0114应用数学IMA JOURNAL OF NUMERICAL ANALYSIS0272-4979应用数学IMA J NUMER ANALInternational Journal of Numerical Analy1705-5105应用数学INT J NUMER 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序号刊名引用次数1 AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS15062 JOURNAL OF COMMUNICATIONS AND NETWORKS8263 International Journal of Network Management2254 ETRI JOURNAL11535 INTERNATIONAL JOURNAL OF SATELLITE COMMUNICATIONS AND NETWORKING3546 Journal of Web Semantics10917 R Journal4228 Security and Communication Networks10959 INTERNATIONAL JOURNAL OF COMMUNICATION SYSTEMS147410 QUEUEING SYSTEMS133511 INFORMATICA39812 Frontiers of Computer Science40513 IET Information Security35514 Ad Hoc & Sensor Wireless Networks31115 JOURNAL OF COMPUTATIONAL BIOLOGY321616 Journal on Multimodal User Interfaces19717 INFORMATION TECHNOLOGY AND LIBRARIES26018 MICROPROCESSORS AND MICROSYSTEMS69119 ENGINEERING COMPUTATIONS140620 ACM Transactions on Modeling and Computer Simulation63821 ACTA INFORMATICA78322 CONCURRENT ENGINEERING-RESEARCH AND APPLICATIONS49823 INTEGRATION-THE VLSI JOURNAL50424 INTERNATIONAL JOURNAL OF COOPERATIVE INFORMATION SYSTEMS24625 INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL116526 International Journal of Microwave and Wireless Technologies35827 COMPUTATIONAL INTELLIGENCE62828 JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY91129 WIRELESS PERSONAL COMMUNICATIONS350830 JOURNAL OF VISUALIZATION41731 Radioengineering113432 IEEE TECHNOLOGY AND SOCIETY MAGAZINE25933 ADVANCED ROBOTICS157234 IETE JOURNAL OF RESEARCH29535 Semiconductors and Semimetals43836 China Communications73537 International Journal on Document Analysis and Recognition46138 International Journal of Humanoid Robotics55839 TRANSPORTATION JOURNAL46440 Journal of Signal Processing Systems for Signal Image and VideoTechnology68041 AI EDAM-ARTIFICIAL INTELLIGENCE FOR ENGINEERING DESIGN ANALYSIS AND MANUFACTURING57742 IET Computer Vision48743 Journal of the Society for Information Display102844 Intelligent Service Robotics13445 SIGMOD RECORD1314计算机类SCI分区数据WoS四区(cs.whu)46 CONNECTION SCIENCE35847 INDUSTRIAL ROBOT-AN INTERNATIONAL JOURNAL93048 Elektronika Ir Elektrotechnika77049 ACM TRANSACTIONS ON DESIGN AUTOMATION OF ELECTRONIC SYSTEMS61450 JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS155851 Mobile Information Systems26152 Journal of Applied Logic28353 Computer Science and Information Systems39254 IEICE TRANSACTIONS ON COMMUNICATIONS173455 Statistical Analysis and Data Mining37556 Computers and Concrete40457 AI MAGAZINE123158 KYBERNETES78559 Journal of Ambient Intelligence and Smart Environments26260 ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE83361 Advances in Mathematics of Communications25462 Information Retrieval Journal92763 Advances in Computers35164 Research in Transportation Economics66965 International Journal on Artificial Intelligence Tools42266 Natural Computing66367 MODELING IDENTIFICATION AND CONTROL35368 Intelligent Data Analysis82269 Journal of Simulation36170 IEEE AEROSPACE AND ELECTRONIC SYSTEMS MAGAZINE88671 Journal of Zhejiang University-SCIENCE C-Computers & Electronics32372 Computational and Mathematical Organization Theory36473 INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS96274 INTERNATIONAL JOURNAL OF QUANTUM INFORMATION81875 ENGINEERING WITH COMPUTERS85376 Journal of Organizational and End User Computing13877 New Review of Hypermedia and Multimedia14178 JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION192679 JOURNAL OF ELECTRONIC IMAGING181380 Biologically Inspired Cognitive Architectures16181 PRESENCE-TELEOPERATORS AND VIRTUAL ENVIRONMENTS165282 INFORMATION PROCESSING LETTERS361883 INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING59784 JOURNAL OF COMPUTATIONAL ACOUSTICS45485 Language Resources and Evaluation44086 MICROELECTRONICS INTERNATIONAL19487 ALGORITHMICA198788 IET Software22889 Current Computer-Aided Drug Design38690 MICROWAVE AND OPTICAL TECHNOLOGY LETTERS511591 MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE56292 INTERNATIONAL JOURNAL OF ELECTRONICS124593 CIRCUIT WORLD22694 International Journal of Data Warehousing and Mining21995 DISCRETE & COMPUTATIONAL GEOMETRY172796 International Arab Journal of Information Technology50297 DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE33598 SIMULATION-TRANSACTIONS OF THE SOCIETY FOR MODELING AND SIMULATION INTERNATIONAL129399 INTERNATIONAL JOURNAL OF GAME THEORY1312 100 COMPUTER JOURNAL3214 101 DISCRETE DYNAMICS IN NATURE AND SOCIETY1359 102 Journal of Public Transportation544103 Transportation Letters-The International Journal of TransportationResearch186104 International Journal of Ad Hoc and Ubiquitous Computing348 105 THEORETICAL COMPUTER SCIENCE7328 106 JOURNAL OF UNIVERSAL COMPUTER SCIENCE1067 107 Journal of Cellular Automata145 108 COMPUTER APPLICATIONS IN ENGINEERING EDUCATION514 109 Journal of Logical and Algebraic Methods in Programming60 110 ENVIRONMENTAL AND ECOLOGICAL STATISTICS786 111 FUNDAMENTA INFORMATICAE1711 112 Translator236 113 JOURNAL OF FUNCTIONAL PROGRAMMING405 114 JOURNAL OF COMPUTER INFORMATION SYSTEMS730 115 INTERNATIONAL JOURNAL OF ROBOTICS & AUTOMATION332 116 CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES1408 117 APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING370 118 International Journal of Web Services Research134 119 Logical Methods in Computer Science507 120 NEW GENERATION COMPUTING351 121 AI COMMUNICATIONS362 122 APPLIED ARTIFICIAL INTELLIGENCE588 123 ANNALS OF PURE AND APPLIED LOGIC1118 124 JOURNAL OF ELECTRONIC TESTING-THEORY AND APPLICATIONS371 125 RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA413 126 THEORY OF COMPUTING SYSTEMS663 127 INTELLIGENT AUTOMATION AND SOFT COMPUTING339 128 Advances in Applied Clifford Algebras402 129 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN365 130 Journal of Nonlinear and Convex Analysis579 131 JOURNAL OF COMPUTATIONAL MATHEMATICS683 132 Asian Journal of Communication347 133 International Journal of Sensor Networks305 134 Analysis and Mathematical Physics62 135 IEEE Latin America Transactions1006 136 VIRTUAL REALITY364 137 Scientific Programming343 138 Journal of Noncommutative Geometry208 139 ANALOG INTEGRATED CIRCUITS AND SIGNAL PROCESSING1324 140 Frontiers of Information Technology & Electronic Engineering88141 INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKSDEVICES AND FIELDS382142 International Communication Gazette486143 European Journal of Transport and Infrastructure Research361 144 Applications of Mathematics324 145 International Journal of Shipping and Transport Logistics173 146 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS573 147 Complex Analysis and Operator Theory298 148 Journal of Computational and Theoretical Transport323 149 Malaysian Journal of Computer Science89 150 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL455 151 JOURNAL OF MATHEMATICAL ECONOMICS1165 152 RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING206 153 Advances in Electrical and Computer Engineering336 154 Problems of Information Transmission658 155 Journal of Web Engineering106 156 JOURNAL OF ORGANIZATIONAL COMPUTING AND ELECTRONIC COMMERCE267 157 Turkish Journal of Electrical Engineering and Computer Sciences686 158 JOURNAL OF MICROWAVE POWER AND ELECTROMAGNETIC ENERGY449 159 LOGIC JOURNAL OF THE IGPL373 160 STOCHASTIC ANALYSIS AND APPLICATIONS760 161 ELECTRICAL ENGINEERING299 162 JOURNAL OF MATHEMATICAL SOCIOLOGY879 163 Differential and Integral Equations1230164 ACM Transactions on Asian and Low-Resource Language InformationProcessing12165 Chinese Journal of Communication129 166 NETWORK-COMPUTATION IN NEURAL SYSTEMS638 167 Iranian Journal of Fuzzy Systems276 168 RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS210 169 Journal of Systems Science & Complexity559 170 PROGRAM-ELECTRONIC LIBRARY AND INFORMATION SYSTEMS330 171 COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS771 172 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS842 173 Journal of Logic Language and Information248 174 Annals of Combinatorics401 175 ELECTRONIC JOURNAL OF COMBINATORICS1845 176 Pacific Journal of Optimization349 177 Mathematical Control and Related Fields104 178 Journal of Pseudo-Differential Operators and Applications84 179 Journal of Systems Engineering and Electronics825 180 Journal of Electrical Engineering & Technology768 181 IEEJ Transactions on Electrical and Electronic Engineering489 182 DESIGN AUTOMATION FOR EMBEDDED SYSTEMS139 183 ELECTROMAGNETICS410 184 IET Computers and Digital Techniques231 185 Journal of Semiconductor Technology and Science275 186 MINDS AND MACHINES358 187 CHINESE JOURNAL OF ELECTRONICS529 188 Econometrics Journal791 189 Numerical Mathematics-Theory Methods and Applications190 190 IEICE TRANSACTIONS ON ELECTRONICS1075 191 ACM Journal on Computing and Cultural Heritage90192 Journal of Grey System356 193 Revista Iberoamericana de Automatica e Informatica Industrial144 194 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS598 195 Journal of Nanoelectronics and Optoelectronics420 196 JOURNAL OF ALGEBRA AND ITS APPLICATIONS602 197 COMPUTING AND INFORMATICS338198 COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING711199 Homology Homotopy and Applications247 200 JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS317 201 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL362 202 Social Semiotics344 203 Journal of Electrical Engineering-Elektrotechnicky Casopis417 204 JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS588205 INFORMACIJE MIDEM-JOURNAL OF MICROELECTRONICS ELECTRONIC COMPONENTS AND MATERIALS95206 Annals of Functional Analysis137 207 Information Technology and Control163 208 Discrete Optimization458 209 Continuum-Journal of Media & Cultural Studies496 210 JOURNAL OF INFORMATION SCIENCE AND ENGINEERING634 211 Journal of Transportation Safety & Security93 212 Revista de la Union Matematica Argentina87213 International Journal of Wavelets Multiresolution and InformationProcessing327214 FREQUENZ207 215 Fixed Point Theory299 216 JOURNAL OF DATABASE MANAGEMENT182 217 QUARTERLY JOURNAL OF SPEECH737 218 INTEGRATED FERROELECTRICS913 219 Milan Journal of Mathematics267 220 IEICE Electronics Express979 221 Computational Methods and Function Theory250 222 KSII Transactions on Internet and Information Systems569 223 Journal of Function Spaces150 224 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS1841 225 Communication Culture & Critique209 226 Text & Talk297 227 ACTA MATHEMATICA SINICA-ENGLISH SERIES1443 228 JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS935 229 APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL481 230 Statistics and Its Interface421 231 COMPUTATIONAL COMPLEXITY636 232 JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY578 233 MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS345 234 Proceedings of the Steklov Institute of Mathematics860 235 Journal of Mathematics and Music53236 Revista Internacional de Metodos Numericos para Calculo y Diseno enIngenieria84237 East Asian Journal on Applied Mathematics60238 NATURAL RESOURCE MODELING353 239 COMPUTER ANIMATION AND VIRTUAL WORLDS367 240 MATHEMATICAL SOCIAL SCIENCES751 241 Analele Stiintifice ale Universitatii Ovidius Constanta-Seria144 242 Journal of Mass Media Ethics243 243 Theory and Applications of Categories303 244 Mathematics and Financial Economics163 245 Periodica Mathematica Hungarica344 246 JAVNOST-THE PUBLIC191 247 IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS1448 248 COMPUTER MUSIC JOURNAL402 249 Journal of Numerical Mathematics276 250 Funkcialaj Ekvacioj-Serio Internacia504 251 Neural Network World251 252 INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE616 253 Automatika159 254 KYBERNETIKA808 255 TOPOLOGY AND ITS APPLICATIONS1952 256 INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING EDUCATION152 257 JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING332 258 Romanian Journal of Information Science and Technology108 259 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS1864 260 COMPUTER SYSTEMS SCIENCE AND ENGINEERING155 261 Media International Australia264 262 ALGEBRA COLLOQUIUM375 263 CMC-Computers Materials & Continua315 264 ACM SIGPLAN NOTICES2541 265 Advances in Difference Equations849266 Iranian Journal of Science and Technology-Transactions of ElectricalEngineering22267 Rhetoric Society Quarterly204 268 Glasnik Matematicki256 269 NARRATIVE INQUIRY379 270 Mathematical Communications204 271 ARCHIVE FOR HISTORY OF EXACT SCIENCES285 272 JOURNAL OF APPLIED COMMUNICATION RESEARCH692 273 Bollettino di Storia delle Scienze Matematiche15 274 Economic Computation and Economic Cybernetics Studies and Research103 275 INTERNATIONAL JOURNAL OF SOFTWARE ENGINEERING AND KNOWLEDGE ENGINEERING345 276 DYNAMIC SYSTEMS AND APPLICATIONS264 277 Mathematical Population Studies170278 University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics184279 IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES1381280 UTILITAS MATHEMATICA482 281 HISTORIA MATHEMATICA221 282 MICROWAVE JOURNAL396 283 CRYPTOLOGIA160 284 Applied Mathematics-A Journal of Chinese Universities Series B174285 Acta Mathematicae Applicatae Sinica-English Series538 286 PROGRAMMING AND COMPUTER SOFTWARE114 287 Ukrainian Mathematical Journal699 288 International Journal of Transport Economics189 289 JOURNAL OF MEDIA ECONOMICS187 290 Electronics and Communications in Japan167 291 FUJITSU SCIENTIFIC & TECHNICAL JOURNAL173 292 INFOR380 293 ELECTRICAL ENGINEERING IN JAPAN398 294 African Journalism Studies12 295 Tijdschrift voor Communicatiewetenschap42 296 Journal of African Media Studies66 297 ICGA JOURNAL63 298 Pure and Applied Mathematics Quarterly241 299 Light & Engineering41 300 EPE Journal101 301 SOLID STATE TECHNOLOGY162 302 Journal of the Institute of Telecommunications Professionals7 303 Traitement du Signal72 304 ELECTRONICS WORLD45 305 Road & Transport Research115 306 IEEE Transactions on Cognitive and Developmental Systems7影响因子eigenFac torScore1.1470.00259 1.130.00268 1.1180.00026 1.1160.00199 1.0790.00047 1.0750.00154 1.0750.00256 1.0670.00255 1.0660.00263 1.060.00221 1.0560.00071 1.0390.00113 1.0370.00082 1.0340.00068 1.0320.00826 1.0310.00048 1.0290.00039 1.0250.0011 1.010.0019310.0010210.0003710.000310.0007710.00015 0.9940.00151 0.9760.00109 0.9640.00094 0.9560.00213 0.9510.00704 0.950.00089 0.9450.00191 0.9430.00039 0.920.00244 0.9090.00033 0.9090.00028 0.9030.00178 0.9020.000520.90.00064 0.8970.00021 0.8930.00155 0.8850.00058 0.8780.00115 0.8770.0015 0.8750.00035 0.8750.001410.8670.00027 0.8630.00089 0.8590.00126 0.850.00116 0.850.00275 0.8490.00036 0.8380.00073 0.8370.00093 0.8270.00279 0.8270.00196 0.8130.00085 0.8120.00113 0.8110.00071 0.8090.00033 0.8070.001130.80.00168 0.7910.00103 0.7890.00048 0.7810.00166 0.7780.00063 0.7780.00084 0.7750.00031 0.7720.00113 0.7720.00063 0.7710.00099 0.770.00081 0.7690.00031 0.7690.00137 0.7660.00162 0.7650.00137 0.7595.00E-05 0.7580.00018 0.7570.00654 0.7540.00261 0.7530.00029 0.750.00054 0.7480.00625 0.7460.00106 0.740.00067 0.7380.00104 0.7370.00029 0.7350.00516 0.7330.0004 0.7320.00052 0.7310.00754 0.730.00145 0.7290.00109 0.7270.00024 0.7270.00019 0.7240.006450.7240.0003 0.7230.001760.720.00137 0.7130.00235 0.7110.00301 0.7110.00349 0.710.000630.7060.00048 0.7050.00064 0.6980.01629 0.6960.00112 0.6960.00024 0.6940.00057 0.6920.00017 0.6880.00125 0.6870.0028 0.6860.00028 0.6770.00081 0.6750.00073 0.6740.00046 0.670.0028 0.6670.00099 0.6670.00024 0.6610.00337 0.6570.0003 0.6540.00098 0.6520.00049 0.6470.0037 0.6470.00055 0.6460.00131 0.6450.0029 0.6440.00041 0.6430.00078 0.6430.00081 0.6420.00151 0.6410.00128 0.6380.00057 0.6350.00038 0.6320.00082 0.6310.00102 0.6280.00031 0.6270.00047 0.6250.00235 0.6230.00216 0.6220.00016 0.6220.00065 0.6220.001030.6190.00061 0.6180.00058 0.6090.00048 0.6090.00097 0.6050.002090.60.000420.68.00E-05 0.5970.00124 0.5970.00354 0.5970.00047 0.5950.00038 0.5810.00081 0.580.00019 0.5790.00023 0.5780.00107 0.5750.00025 0.5750.0015 0.5730.00199 0.5690.00028 0.5670.0006 0.5650.00321 0.5620 0.5620.00043 0.5620.00024 0.560.00063 0.5580.00067 0.5560.00106 0.5560.00037 0.5480.00163 0.5480.00142 0.5480.00036 0.5440.0022 0.5430.01147 0.5430.00127 0.5420.00125 0.5290.00056 0.5290.00152 0.5250.00183 0.5170.00076 0.5160.00035 0.5160.00058 0.5150.00049 0.5150.00073 0.5140.00045 0.5130.00075 0.5130.00287 0.5090.00091 0.5030.001560.50.000190.50.00020.50.00028 0.4970.00346 0.4970.00073 0.4890.00428 0.4880.000530.4870.00121 0.4860.00149 0.4860.00078 0.4840.00051 0.4840.00072 0.4830.00043 0.4810.000750.4780.00016 0.4770.00098 0.4750.00031 0.4690.00161 0.4680.00091 0.4680.00089 0.4650.00034 0.4640.00046 0.4630.00053 0.4620.00025 0.4620.00044 0.4628.00E-05 0.460.00027 0.4570.00109 0.4570.0012 0.4560.00189 0.4550.00111 0.4520.00119 0.4510.00068 0.450.00144 0.4480.00071 0.4480.00083 0.4460.0042 0.4460.00076 0.4440.00099 0.4440.00201 0.4410.00124 0.4410.00194 0.4390.00074 0.4360.00318 0.4350.000110.4310.00017 0.4260.000370.4260.0006 0.4240.00099 0.4230.00131 0.4220.00052 0.4190.00037 0.4190.00145 0.4150.00129 0.4150.00079 0.4130.00033 0.4110.00196 0.4050.00018 0.4050.00163 0.3940.00125 0.3940.00023 0.390.00185 0.380.00041 0.3790.00125 0.3770.00551 0.3750.0001 0.3650.00087 0.3650.0002 0.3570.00117 0.3480.00015 0.3460.00068 0.3430.00142 0.3390.00093 0.3350.0032 0.3350.002330.3335.00E-05 0.3330.0003 0.3280.00049 0.3170.00043 0.3160.00059 0.3080.00042 0.3080.000720.30 0.2990.00019 0.2990.00054 0.2980.00052 0.2860.000210.2790.000340.2740.00196 0.2610.00082 0.2580.00028 0.2580.00063 0.2563.00E-05 0.2470.000490.2420.001060.230.000170.2280.000790.220.000210.2170.000170.2020.000360.1910.000220.1890.000250.1880.000330.1712.00E-050.1717.00E-050.1540.000180.1520.000280.1490.001410.1183.00E-050.0910.000110.0820.00010.07800.0281.00E-050.0262.00E-050.0210.00014 -999.9991.00E-05。
在一个80后被房子绑架的时代,这些前90后以及90后,只好把自己的眼睛放到了海外,寄望于外面的天空给自己一个逃出**的机会。
因此只要是能让我们逃出这无望的循环的方法,都被人们无限的放大。
“留学”被放大,“富二代”被放大,“成名”被放大。
都TM被逼的!套磁本是一个结识对方的方式,但是现在也被无限的放大。
可以说这种方式在上世纪末,还算是一个申请的秘籍,但是慢慢的,当我们获得的信息信息越来越多的时候,也慢慢被人熟知。
其实现在国内的留学界还有很多错误的信息在蔓延,但是我们只有靠时间的积累来冲刷这些信息,大浪淘沙之后,才能有真相大白的一天,但是这一天什么时候能到来?由于某些不良留学中介的出现,使得这一天被大大推迟了。
至于套磁,很多留学中介也是大包大揽的,“帮”我们解决了,但是实际上很多都是用一些现成的模板,完全没有取得套磁的效果,甚至这些模板还会让导师讨厌我们,换句话说也就是取得了坏的结果。
那么,这些模板有没有用呢?其实作用还是有的,也就是这些套磁信模板可以让我们了解,到底怎样写套磁信,套磁信该是什么样的,为我们自己写套磁信指明一个方向。
因此今天无老师就为大家展示出一些套磁信的模板或者说样本。
【【【【【【【【【【【【【【【【【【【【【【【Dear Professor Smith:I am a college graduate from ABC University, with a degree in Computer Science, currently working full time as a computer programmer with Bank of China, but interested in applying for a Research Assistantship at your school. Dr. Song provided me with your e-mail address and suggested that I write you about a possible position.I attended the Special Class of Gifted Use at ABC University when I was 14 years old and earned my Bachelor’s Degree in computer science there in 1996. Since graduation, I have been working with the Technology Department, Bank of China. My responsibility at the Bank is to develop application software for internal usage and help managing the Bank’s database and network. I led or took part in several key projects such as Foreign Exchange Savings Accounts Networking System, the State Dragon Card Networking System and the Dragon Card-Stock Funds Transferring System. With my hardworking and continuous learning, I have gained tremendous practical experiences and knowledge in my field and also learned to be an excellent team player and a good communicator. I am quite proficient in Unix operating system, Windows NT, computer programming (using C/C++/ESQL C, and Visual Basic), and Informix database system. In addition, I have had solid hands-on experience in TCP/IP network design and implementation.As stated earlier, I have always been interested in both computer science and biology as both disciplines are at the forefront of rapid development. Health Informatics seems a perfect subject for me as I can learn more about the healthcare discipline while using my skills in computer, especially in database and network, to make contribution to health informatics. I am convinced that with my strong technical background, diligence and intelligence, and my enthusiasm for health informatics, I will be an excellent student in this field and a good Research Assistant to you.I would greatly appreciate it if you would grant me an opportunity for application. You may reply to me through this email address. Thank you very much for your consideration.Sincerely yours,Mei Wong 】】】】】】】】】】】】】】】】】】】】】】】】】】】】】】【【【【【【【【【【【【【【【【【【【【【【【【【【【【【【【Knowing where one is heading during navigation brings assured happiness. As a student majoring in Computer Software, I began my odyssey four years ago. Now, after the initial mysticism wasgradually unveiled, my curiosity remains the same. Indeed, having entered this splendid computer world, I am more than greedy for something new.From the beginning of my study, my endeavor was fixed on the underlying branches of Computer Science, particularly System Software develop ment. Novel applications on other’s platform may be fruitful, but I think it’s more appealing to act as an independent “manager”. In fact, mathematics, OS, DBMS and modern compiler are all the examples, any breakthrough of which would push forward the whole industry. Individuality is achieved in this unique position.My paces toward this goal are always steady. As mathematics permeates to the every corner of Computer Science, I am eager to see how it functions. I took courses offered by the Mathematics Department including Mathematical Analysis and Advanced Algebra. The curriculum also covered Discrete Mathematics, Probability & Statistics and Theoretical Computer Science. As supplement to my scope of knowledge, I learn by myself Combination Mathematics and the Science of Programming. This really made a hard period of time, but the harvest was rewarding. I come to understand that even the most irrelevant software disciplines have the origins in common.The importance of Fractured Geometry in Computer Graphics is already obvious. What if a step furthers toward TSP or Bin Packing? Immeasurable. Then came my favorite topics: Operating System, Compiler and Database. I worked hard and derived bits of my own insight. In fact, I was greatly encouraged to find some of my ideas successfully implemented in the corresponding course projects. My final grade is straight “As” in these coursed. In short, although my experience in Computer Science is still limited, I believe its depth is well accessible. As my advisor, Prof. Fang Yu, put it figuratively in one of his lectures: “ It makes no difference whether a hunter captures 5 or 7 rabbits. What counts is he knows how to use his gun.”I think I can be the qualified shooter now. in my undergraduate years, I have earned various kinds of scholarships, among which were “Peking University Fellowship” and “Excellent Academic Scholarship”. My overall GPA ranks upper 10% among 48 students of the same grade. Because of my satisfactory performance, I was granted the honor of entering the graduate program at Peking University directly, waived of the admission test. In retrospect, my workload is always heavy but it is worth my time of effort. Presently, I have both adequate theoretical understanding and rich programming experience. READY I AM.Of all the sub-areas of Computer Science, my major interest is parallel processing and the related compiler construction. The terminology of parallel processing came to me when I read an artic 】】】】】】】】】】】】】】】】】】】】】】】】【【【【【【【【【【【【【【【【【【【【【【【【【Dear #######:Thank you again for your email. From the sounds of your scores and grades, you should have no problem entering Princeton. I am quite familiar with the program that you are in and have had several close friends that have been there at Beijing University. In fact, ####### was in graduate school with me and she was in the accelerated program. She has done extremely well in the . and after graduation went on to do some first rate science at a university in California. Since 2001 is your target date, I can begin to arrange funding for a research assistantship for you. These are nicer than teaching assistantships because they allow you to focus only on your research. Naturally, you will not be obligated to accept should you find other options. However, I believe that you will be most welcomed here in my group.You had asked about some of my publications, if you send me your address I can send preprints. They may take some time to get to China. You can find some of our work listed on our web site under my cv. This is an incomplete list but the PRL of last year is there and the latest hasnt yet been released from the publishers.We have been doing some interesting things lately with topological defects on tube manifolds that you might like. We have recently imaged nanotubes which exhibit a change in chirality along the tube! Tunneling spectra show that this produces subtle changes in the LDOS as predicted in some of X. Blase’s work. We have also begun optical studies on individual nanotubes using near-field scanning optical microscopy and spectroscopy. We are particualry interested in how the surface plasmon resonances (governed by tube topology) effects the third order nonlinear susceptability in these objects. Thank you again for your interest in our group. May I suggest that we keep in contact over the year. Let me know your progress and I will try to help with the application procedures should you decide to join us.Sincerely**】】】】】】】】】】】】】】】】】】】】】】】【【【【【【【【【【【【【【【【【【【【【【【Dear Professor #######:Thank you very much for your kind reply. I am sorry that during the summer vacation I cannot read and reply your email in time.As stated in my first letter, my desired entrance date is in Fall of 2000. And I would like to provide my test scores. My TOEFL test score is 647 (Oct. 1997) with a TWE score of . My GRE test score is 2340 (Oct. 1996, V770 M800 A770). My GRE Subject score is 920 (Oct. 1998, Physics). And I will take the TSE test in the coming August. And my undergraduate and graduate GPA are both about in , about top 10%-20% in my class.I wish to make a note that during my undergraduate study I was quite young, and during my graduate study I take many efforts to study the basic courses in Physics by myself, which may be the reason my GPAs are not in the top 5%. But now I believe that I have been quite familiar in the knowledges of Physics, both the courses and the researches. So I hope that my test scores and grades are acceptable to Priceton with financial supports.As to the research, I am very glad to learn the research background you provided in your letter. I am quite familiar with the works of X. Blase published in PRL and APL. I also know that J-C Charlier is a famous specialist in this field. So perhaps I could do theoretical research works in your group. Also, I am very glad to know that you have the needed main instruments for carbon nanotubes in your group, so that both theoretical and experimental works can be done.I am puzzled at the “MRS meeting in Boston” you mentioned in your letter. What is the full-name of MRS? Is it a meeting specialized in nano-systems? I do research works on carbon nanotubes almost totally by myself, and perhaps are not familiar with such fixed terms. Would you please explain the contents of this meeting? Thanks. And you mentioned that your latest publications will come out in next months in PRL. Would you please send me the page number of this paper in PRL, and if possible, the full text of this paper? The journal PRL reaches to China very late, usually several months to half a year after published, and I don’t have the account to find the full-texts of PRL on-line.I am looking forward to receiving your warmhearted reply. Thanks.Yours sincerely###########】】】】】】】】】】】】】】】】】】】】】】】】【【【【【【【【【【【【【【【【【【【【【【【【Dear ######:Thank you for the email and your interest in our research program.I am very intersted in your application and would like to hear more. Are you interested in Fall 2000 or fall 2001? Certianly for 2001 there should be no problem getting research support, provided that your test scores, grades, etc. are acceptable to the university. For 2000, it would be a little tougher because of the short notice, but might be arranged under special circumstances.You asked about the nature of research here. In the laboratory, students generally couple calculations with experiment. We specialize in spectroscopic determinations of transport and electronic structure using scanning probes (STM and NSOM). To gain a detailed understanding of this, ab initio calculations must be compared with data. We have worked closely with J-C Charlier in Belgium, A. Rubio in Spain, and X. Blase in France using a varietyof theoretical techniques including tight binding for structural information and LDA of DFT for electronics calcs.Our tunneling microscope is a low temperature Besoke design copied from the Julich group. We are capable of running at LHe temperatures for good energy resolution. We are in the process of constructing a near-field scanning optical microscope and a photon scanning tunneling microscope. These two new instruments should be on line around Dec.Our group focus is to understand the quantum dynamics and optical response of individual nano-systems like carbon nanotubes, B-doped nanotubes and filled nanotubes. Look for our latest publications coming out in the next months in PRL, JMR, and Advanced Materials. The entire group will also be at the MRS meeting in Boston.We would be pleased to consider your application for this year or next.########Professor of PhysicsPrinceton University 】】】】】】】】】】】】】】】】】】】】】】】】】】【【【【【【【【【【【【【【【【【【【【【【【【【【Dear Professor ####:I am very sorry to bother you and send this e-mail, but I really wish to contact you. I am a graduate student majoring in Condensed Matter Physics Theory in the Department of Physics, Beijing University (Beijing). I wish to pursue a doctoral degree in Physics at your University. My desired date of entrance is Fall, 2000. I have visited the homepage of the “Laboratory for Nanotech”. I am writing this letter to you to introduce myself and query about the graduate programs at NCCNM. Thank you very much for reading this email.Born on SEP 10, 1979, I entered Huazhong Univ. of Science and Technology (HUST) when I was 15 years old. I finished the four-year undergraduate program in three years and achieved my degree of B. Eng. (Optoelectronic Engineering) in June 1997 with the honor of “Outstanding Graduate”. Then, I was admitted to the Graduate School of Beijing University at the Department of Physics. I will obtain my degree of M. S. (Physics) in June 2000. I have done much research work on the topics of mesoscopic physics, such as carbon nanotubes, persistent currents, Aharonov-Bohm geometric phase effects, electronic transport phenomena, etc. Such modern researchtopics attract me very much in that they are associated with both Condensed-Matter Physics and microelectronics, respectively my detail majors for M. S. and B. Eng.I wish to say that I am indeed interested in the graduate programs at Physics Dept. of Princeton University, and I eagerly wish that I can join your research group. As I have also strong research interests on carbon nanotubes, I do believe that thedoctorate-oriented study under your direction will be of great help to me. I wonder, however, whether you do theoretical or experimental research works? I wish to state that, although my current research topics on carbon nanotubes are theoretical, I can also do experimental research works, especially optical studies, due to my undergraduate major in Optics. I hope my solid background in both physics and engineering can meet your general requirements of entrance to Physics Department as a graduate with financial supports.I deem it a great honor to become a graduate of Princeton, if admitted.Would you please consider my application and tell me whether it is possible for me to be enrolled as your graduate with financial supports? Thank you very much for your kind assistance. I am looking forward to receiving your reply.My current address is:#######Building RoomUniversityBeijing 100080People’s Republic of ChinaThanks!Yours Sincerely#########】】】】】】】】】】】】】】】】】】】】】】】】】那么当我们现在看完这几封推荐信之后,应该来回顾一下这些套磁信的共性,只有发现他们的共性之后,我们才知道怎么展开自己的套磁信,这个工作显然是“套磁季”的核心环节,因此无老师决定,下次再写^_^在美国留学研究生申请过程中套磁很重要。
运筹与管理与本领域相关SCI期刊4ORACM Journal of Experimental Algorithms AlgorithmicaAnnals of Operations ResearchAsia-Pacific Journal of Operational ResearchCentral European Journal of Operations Research Computational Geometry: Theory and Applications Computational Optimization and Applications Computers & Industrial EngineeringComputers & Operations ResearchDiscrete Applied MathematicsDiscrete OptimizationDiscrete Mathematics & Theoretical Computer Science European Journal of Operational ResearchIIE TransactionsINFORMS Journal on ComputingInternational Journal of Computational Geometry and Applications International Transactions in Operational ResearchJournal of Discrete AlgorithmsJournal of HeuristicsJournal of the Operational Research SocietyJournal of Mathematical Modelling and AlgorithmsJournal of SchedulingLinear Algebra and its ApplicationsManagement ScienceMathematical and Computer ModellingMathematical Methods of Operations ResearchMathematical ProgrammingMathematics of Operations ResearchNaval Research LogisticsNetworksOmegaOperations ResearchOperations Research LettersOptimizationOptimization Methods and SoftwareSIAM Journal on OptimizationTransportation ScienceEI收录Journal of Algorithms and Computational TechnologyJournal of Applied Mathematics and Computing(EI 符合范围)Journal of Computational and Applied Mathematics(SCI难度不大)Journal of Systems Science and Systems Engineering(中国EI)Journal of the Operations Research Society of China(不被收录,中国刚办)Journal of Mathematical Modelling and Algorithms(不被收录,运筹优化的)The International Journal of Advanced Manufacturing Technology (SCI期刊,容易中,3个月审稿) International Journal of Innovative Computing Information and Control (SCI)International Journal of Systems Science (SCI)International Journal of Mathematics in Operational research (EI)International Journal of Mathematical Modelling and Numerical OptimisationPacific Journal of Optimization (华人多)Optimization Methods and Software (SCI期刊,据说容易中,2个月审稿,方向对口(小木虫说慢))优化相关资料与网址收集Optimization and Operations Research:Operations Research: the science of better :/Science_of_Better/htdocs/prospect/index.aspOR directory (a bit out of date): http://www.math.tu-bs.de/mo/orlistings.htmlLP FAQs: /otc/Guide/faq/linear-programming-faq.htmlsome free software by Prof. John O. McClain:/faculty/mcclain/Software/Software.htmIFORS tutorial modules:/tutorial/benchmark for optimization software: /bench.htmlThe French OR Society /The European OR Society /The international federation of OR societies /The Canadian OR Society http://www.cors.ca/OR Society of the US /THE OR web page of Michael Trick /e-optimization /OR library of optimization instances OR-library/~mastjjb/jeb/info.htmlOperations Research Journals RSS ListOperations Research:Annals of Operations ResearchComputational Management ScienceComputers & Operations ResearchEuropean Journal of Operational ResearchINFORMS Journal on ComputingInterfacesInternational Transactions in Operational Research Journal of Optimization Theory and Applications Journal of the Operational Research Society Management ScienceMathematical ProgrammingMathematical Programming Computation Mathematics of Operations ResearchNetworksOmegaOperations ResearchOR SpectrumIndustrial Engineeing and Operations Management: Computers & Industrial Engineering International Journal of Production Economics International Journal of Production Research Manufacturing & Service Operations Management Naval Research LogisticsTransportation:Transportation Research Part B: MethodologicalTransportation Research Part E: Logistics and Transportation Review Transportation ScienceArtificial Intelligence:Advances in Engineering SoftwareApplied Soft ComputingDecision Support SystemsEngineering Applications of Artificial IntelligenceExpert Systems with Applications管理科学与运筹学(MS/OR)国际期刊最新权威排名首先声明:这份MS/OR国际期刊排名是完全根据2011年JCR(Journal Citation Reports)的Article Influence Score(AIS)而给出的。
离散数学北美教材
在北美地区,离散数学是计算机科学和数学专业的重要课程之一。
以下是一些常见的北美离散数学教材:
《Discrete Mathematics and Its Applications》(离散数学及其应用)- Kenneth H. Rosen:这本教材是离散数学领域的经典教材之一。
它涵盖了离散数学的各个主题,包括集合论、图论、逻辑、证明技巧、组合数学等。
该教材以清晰的讲解和丰富的例子,帮助学生理解离散数学的基本概念和应用。
《Concrete Mathematics: A Foundation for Computer Science》(具体数学:计算机科学基础)- Ronald L. Graham, Donald E. Knuth, Oren Patashnik:这本教材是计算机科学领域的经典之作,它将离散数学与计算机科学的应用紧密结合。
该教材涵盖了离散数学的各个主题,包括递归、生成函数、离散概率等。
它以严谨的数学推导和实际的计算机科学问题,帮助学生培养数学建模和问题解决的能力。
《Discrete Mathematics: An Open Introduction》(离散数学:开放式导论)- Oscar Levin:这本教材是一本开放式教材,可以免费在线获取。
它涵盖了离散数学的基本概念和技巧,包括集合论、图论、逻辑、证明技巧等。
该教材以易懂的语言和丰富的练习题,帮助学生掌握离散数学的核心概念。
这些教材都是离散数学领域的经典教材,被广泛使用于北美的大学和学院。
具体选择教材时,可以根据个人的学习风格和教师的推荐来决定。
另外,还可以参考课程教材清单或与教师咨询,以获取更准确的教材推荐。
The University of SydneyFaculties of Arts,Economics,Education,Engineering and ScienceMATH2969:Discrete Mathematics and Graph Theory(Advanced)Paper1:Discrete MathematicsPRACTICE EXAM FOR REVISION ONLYLecturer:Anthony HendersonTime allowed:11hours2This booklet contains4pages.1.In this question,your numerical answers need not be evaluated.One of the highest-profile athletics events at this year’s Olympic Games will be the 100m sprint for men.Suppose there are128athletes who enter,8of whom will make it through to thefinal.(a)Suppose that there are7change-rooms available for the128athletes.Explainwhy there must be a change-room used by at least19athletes.(b)The change-room cleaner only cares about how many athletes use each room,not who they are–however,he does distinguish between the7rooms.Fromhis point of view,how many possible allocations of athletes to the change-rooms are there in which no rooms go unused?(c)In thefirst round of the event,the entrants must be split into16heats,eachwith8athletes.Suppose that it doesn’t matter to the athletes which of the16heats they are put into,just who is in the same heat with them.Howmany different allocations of athletes to heats are there?(d)Suppose6of the128entrants werefinalists in the last Olympics.How manyof the allocations of athletes to heats have the property that these6specialathletes are all in different heats?Explain your answer.(e)The outcome of the event,as it will be recorded in the history books,consistsof the following information:the name of the gold medallist,the name ofthe silver medallist,the name of the bronze medallist,and then the namesof the other5finalists in alphabetical order.Given the list of128entrants,how many possible outcomes are there?(f)How many of the outcomes counted in the previous part have the propertythat at least two of the6special athletes win a medal?(3+2+2+3+2+2=14marks) 2.(a)Recall that the Lucas sequence is defined by the initial conditions L0=2,L1=1,and the recurrence relation L n=L n−1+L n−2for n≥2.Prove byinduction thatL n+2L n=L2n+1+5(−1)n,for all n≥0.(b)Give the rest of this definition:“The characteristic polynomial of the homo-geneous linear recurrence relation a n=ra n−1+sa n−2,n≥2,is...”.(c)Suppose that this characteristic polynomial has distinct rootsλ1andλ2.Explain why the sequence a n=C1λn1+C2λn2satisfies the recurrence relation,for any constants C1and C2.(d)Continuing with the assumption of distinct roots,prove the converse:thatevery sequence a n which satisfies a n=ra n−1+sa n−2for n≥2has the forma n=C1λn1+C2λn2for some constants C1and C2.(e)Using the characteristic polynomial of the recurrence relation for the Lucasnumbers,derive a closed formula for L n.3.(a)Give the rest of this definition:“The generating function A (z )of a sequencea 0,a 1,a 2,···is ...”.(b)Suppose the generating function of the sequence a 0,a 1,a 2,···is A (z ),andthat s n ,for any n ≥0,is defined by the rule s n =a 0+a 1+a 2+···+a n .Prove that the generating function of the sequence s 0,s 1,s 2,···is A (z )1−z .(Explain carefully what facts you are using.)(c)Find a formula for the generating function A (z )of the sequence defined bythe initial conditions a 0=a 1=a 2=1and the recurrence relationa n =1n (a n −1+a n −2+a n −3),for n ≥3.(d)Using the generating function,or any other valid method,solve the recur-rence relationa n =4a n −1−3a n −2+n,for n ≥2,with the initial conditions a 0=1,a 1=−1/4.(2+3+4+5=14marks)4.(a)Complete this definition:“If X is a set with n elements,and n 1,n 2,···,n kare nonnegative integers such that n 1+n 2+···+n k =n ,then the multinomial coefficient n n 1,n 2,···,n k is the number of ...”.(b)State the formula for n n 1,n 2,···,n k in terms of factorials.(c)Is it always true that n n 1,n 2,···,n k ≤k n ?Explain your answer.(d)Assuming that ∞ n =0(n +1)z n =1(1−z )2,find a formula for ∞ n =0 n +21,1,n z n .(Explain your argument carefully.)(e)By expressing (a +b )2n as (a 2+2ab +b 2)n and expanding this via the Multi-nomial Theorem,prove the following equation for all nonnegative integers m,n such that m ≤n :2n m = m 2 n 1=02m −2n 1 n n 1,m −2n 1,n −m +n 1 .5.Let f (n )and g (n )be two functions of a nonnegative integer variable such thatlim n →∞f (n )=lim n →∞g (n )=∞.Recall that f (n ) g (n )means that there exist positive constants C,D,N such thatC ≤f (n )g (n )≤D,for all n ≥N.(a)Is it always true that if g (n )is defined by g (n )=f (n )+f (n −1)+···+f (0),then g (n ) f (n )?Explain your answer.(b)Give the rest of this definition:“We say that f (n )grows at a slower ratethan g (n ),the notation for which is f (n )≺g (n ),if ...”.(c)Prove that 3n ≺n !.(d)An integer k ≥2is said to be composite if there is some integer d suchthat 2≤d ≤ √k and k/d is an integer.Here is a recursive algorithm (not necessarily a good one),called COMP(n ),which outputs the number of composite k such that 2≤k ≤n .The steps are:1.If n =1,return the answer 0and stop.2.(To arrive here,we must have n ≥2.)For each integer d such that 2≤d ≤ √n ,divide n by d .The results of these divisions tell youwhether n is composite or not.e COMP(n −1)to find the number of composite k with 2≤k ≤n −1.4.If n was found to be composite in Step 2,add one to the answer of Step 3;otherwise leave it unchanged.Return this as the answer.For any n ≥1,let d n be the number of divisions which are carried out in COMP(n ).Find a recurrence relation for d n ,and unravel it to give a non-closed formula for d n .(e)Hence prove that d n n 3/2.(3+2+3+3+3=14marks)。
Discrete Mathematics and Theoretical Computer Science Proceedings AA(DM-CCG),2001,329–340 Megamaps:Construction and ExamplesAlexander ZvonkinLaBRI,Universit´e Bordeaux I,351cours de la Lib´e ration,F-33405Talence Cedex FranceE-mail:zvonkin@labri.u-bordeaux.frreceived February3,2001,revised April10,2001,accepted April16,2001.1IntroductionIn the well-known combinatorial approach to maps or hypermaps drawn on two-dimensional surfaces the maps are represented as pairs of permutations on a set E of the edges(each edge connects the verticies of two different sorts,which we color black and white);see,for example,[CM92].The edges are usually interpreted geometrically as segments of curves drawn on a surface.However,one of the advantages of the permutation model is its abstract ly,one may take as the set E an arbitraryfinite set,and introduce the permutations acting on E by using the particular structure of the elements of this set.In this paper,the elements of E will be the4-constellations,that is,the sequences of permutations g1g2g3g4,g i S n,acting transitively on the underlying set of n elements,and such that the product g1g2g3g4id.The permutations that will act on the set E itself originate from an action of the Hurwitz braid group on the4-constellations;they will be introduced in Section3.2.The aim of the whole construction is to represent a parameter space of the ramified coverings of the Riemann sphere with four ramification points.When the number of the ramification points is three,the corresponding coverings may be considered as a kind of“isolated points”;such coverings are studied by the theory of dessins d’enfants[Sch94].At the same time the coverings with four ramification points depend on one complex parameter.But this parameter is not just a complex number:it“lives”on a Riemann surface,and this surface in its turn may be described by a dessin d’enfant.This construction is known in the inverse Galois theory as a Hurwitz scheme.But it is a very difficult task to extract its combinatorial nature from the corresponding publications.We cite here only few papers which are close to our proper interests,namely,to the dessins d’enfants:[Fri90],[Cou97],[Gra96].In our paper we introduce the combinatorial construction,clarify its relations with the ramified coverings and give several examples.1365–8050c2001Maison de l’Informatique et des Math´e matiques Discr`e tes(MIMD),Paris,France330Alexander Zvonkin 2Constructing ramified coverings2.1Riemann’s existence theoremOne of the most wide spread methods of dealing with Riemann surfaces is to represent them as ramified coverings of the complex Riemann sphereC a non-constant meromorphic function.Then there exists afinite set YC Y the preimage f1y has the same cardinality n f1y deg f,while for the y i Y,i1k we have f1y i n.The elements of Y are called the critical values of f, or the ramification points of the covering f:XC rather than a set;we write sequences in square brackets:y1y k.Let y0C in such a way that(i)the paths do not intersect outside y0; and(ii)in the small vicinity of y0the orderγ1γk of the paths corresponds to their counter-clockwise order around y0.The pathγi taken in the opposite direction(from y i to y0)is denoted byγ1i.Let us now transform eachγi into a lacet l i belonging to the fundamental groupπ1C Y y0G.The sequence of permutations g1g k satisfies the following conditions.First,the group G acts transitively on E;this means that the corresponding Riemann surface is connected.Second,the product g1g k id.This relation reflects the fact that the product of the lacets l1l kπ1C and for any constellation g1g k,g i S n,there exists a compact Riemann surface X and a meromorphic function f:XC is unique up to an isomorphism of X.One of the most remarkable features of this theorem is the fact that there are no conditions on the critical values y1y k:they may be chosen arbitrarily.A proof may be found,for example,in[V¨o l96].Megamaps:Construction and Examples331 2.2“Dessins d’enfants”and hypermapsLet us summarize once more what data one must supply in order to represent a ramified covering of thesphereC. We may consider various equivalence relations on coverings,depending on the goal of a particular research.For our goal,we will consider as equivalent those coverings that may be obtained from oneanother by a complex isomorphism of the sphereC are the linear fractional transformations.Choosing an appropriate linear fractional transformation,we may take any three points among y1y k,for example,y k2y k1y k,and move them to any three prescribed positionsfixed in advance,for example,to0,1and∞;this choicefixes the linear fractional transformation.There remain k3continuous parameters z1z k3instead of k:they are the images of y1y k3under the linear fractional transformation.Changing“a little”the parameters z1z k3one changes“a little”the Riemann surface X together with its complex structure.Now the question arises:What if k3?In this case all the continuous parameters dissapear,and the only data that remain are combinatorial,namely,the triple of permutations g1g2g3,representing the ramifications over0,1and∞.(The con-stellation in question may be thought of merely as a pair of permutations,because the third permutation is determined by the relation g1g2g3id.)The whole construction suddenly becomes rigid:we cannot change it“a little”any more.We would like to emphasize once more that the object thus represented is a Riemann surface,that is,a one-dimensional complex analytic variety,which is a much more complicated structure than that of just a topological two-dimensional variety.One may ask if any Riemann surface X may be represented this way?The answer is no,but the class ofthe surfaces so representable is probably the most interesting one:namely,it is the class of the arithmeticsurfaces,as is asserted by the now famous Belyi theorem[Bel79]:Theorem2.3(Belyi theorem)The Riemann surface X is defined over thefieldC unramified outside0,1and∞.A function f unramified outside0,1and∞is called Belyi function,and a pair X f where f is aBelyi function on X is called Belyi pair.The phrase“defined over332Alexander Zvonkin Definition2.4(Hypermap)A hypermap is a triple of permutationsσαϕwhich act transitively on a finite set E and which satisfy the relationσαϕid.Thus a hypermap is nothing else but a3-constellation.The third permutationϕis often omitted from the definition,asϕα1σ1.The greek lettersσ,αandϕwere chosen as the“first letters”of the French terms“sommet”(vertex),“arˆe te”(edge)and“face”(face).Example2.5The hypermap shown in Figure1has12edges.The triple of permutations representing this hypermap isσ123456789101112,α28105129,ϕ158212436911107.The permutationσshows the cyclic order of the edges around the black vertices(in counter-clockwise direction);αgives the similar information for the white vertices.If we use a convention to always write the labels of the edges on the left side while going from black to white,then all the labels corresponding to a face(that is,to a cycle ofϕ)lie inside the corresponding face(seefigure).This time the labels are also taken in counter-clockwise direction for all the faces except the outer one;the outer face(in the planar case)should be looked at from the opposite side of the globe.There is a tradition to call the cycles ofαhyperedges,and to call the white vertices their middle points.When all the white vertices are of degree2, they are often erased,and the resulting image becomes a usual map with only one sort of vertices and without any bipartite structure.Fig.1:A hypermapIt is a remarkable fact that such a simple object as just a pair of permutationsσandαposesses an incredibly rich variety of mathematical structures:the complex structure of the corresponding Riemann surface X,a numberfield(thefield of definition of the Belyi pair X f),its Galois group,etc.A hyper-map,whether we look at it as at a triple of permutations or as at a picture(a geometric objetc),should be considered as one of the legitimate ways of representing the corresponding covering f:XMegamaps:Construction and Examples333 3Coverings with four ramification points3.1A space of coveringsAs we have seen in Section2,in order to represent a covering with four ramification points we must supply the following data:(i)a4-constellation C g1g2g3g4,and(ii)four ramification points,which may be chosen as0,z,1and∞.Here z is an arbitrary complex number different from0,1and∞.We take the ramification points0z1∞in this specific order because later on it will be convenient to take z in the segment01.This time there is no hope that in general such a covering will be defined overQ)!Proposition3.2The function C z z is a Belyi function on M.Proof.By construction,any value of z01∞is not critical because it has the same number of pre-images C z.Now our natural goal is tofind the triple of permutations that describes the‘dessin d’enfant’which corresponds to the Belyi functionf:M334Alexander Zvonkin The usual,or plane braid group B k has the same generators but only the relations(a)and(b),see[Bir74]. Its elements describe the movements of the‘configurations’of k distinct points on the plane.If these points happen to live on the sphere,there is an additional relation(c).Below we illustrate this relation, see Figure2:one may see that the trajectory of the movement of thefirst point is not contractible on the plane,but is on the sphere.Fig.2:The braid of the relation(c)and the same braid seen“from the above”The Hurwitz braid group H k acts on the isomorphism classes of k-constellations in the following way:σi:g i g i g i1g i1g i1g1i1g i g i1and g j g j g j for j i i1(1) This transformation obviously preserves the product g1g k.It is easy to verify the above relations(a), (b),(c)by direct computation.For example,the elementσ1σ2σk2σ2k1σk2σ2σ1conjugates each of the g i by g1;the result is thus an isomoprphic constellation.The geometric meaning of the operation performed byσi is very simple.It means that the neighboring critical values y i and y i1in the sequence y1y k have exchanged their places in the sequence.(We would probably prefer to just transpose g i and g i1in the constellation;but then the product may have changed.)These operations were introduced,with exactly this aim,by Hurwitz in1891[Hur1891],which was34years before the introduction of the braid groups themselves by E.Artin.Now everything is ready to see what happens when z goes around0,1and∞.We work inside the group H4with four strings.The corresponding lacets are shown in Figure3.Their representation in the form of braids is as follows:the lacet that turns around0is equal toΣσ21;the one that turns around1is equal to Aσ22;finally,the third lacet that turns around infinity is equal toΦσ12σ23σ2.Lemma3.3In the Hurwitz braid group H4the productΣAΦid.Proof.We haveΣAΦσ21σ2σ23σ2.Conjugating this element byσ1we getσ11σ21σ2σ23σ2σ1σ1σ2σ23σ2σ1idaccording to the relation(c).One might also directly verify that the action of the productΣAΦon a constellation g1g2g3g4conjugates all the g i by g2and thus gives an isomorphic constellation. Remark3.4All the three operationsΣ,A andΦpreserve the passport of a constellation.One of the consequences of this is the fact that all the orbits of the group PΣAΦH4arefinite.It is clear thatMegamaps:Construction and Examples335 in order to get a connected hypermap one must take on orbit of P together with the three permutations ΣAΦacting on it.It is this object that we call megamap.Fig.3:The fourth critical value z starts at a point in the segment[0,1]and makes a complete turn around0,1or∞in the counter-clockwise direction3.3MegamapsHere we summarize the definition of a megamap.Definition3.5A megamap is a set E and a triple of permutationsΣAΦacting on E,where:1)The elements of E are the isomorphism classes of4-constellations g1g2g3g4,g i S n.1)The set E itself is an orbit of the subgroup PΣAΦH4of the Hurwitz braid group H4.2)The permutationsΣ,A andΦare given by the formulasΣσ21Aσ22Φσ12σ23σ2(2) whereσ1σ2σ3are the generators of H4,with their action on the constellations given in(1).We chose the term“megamap”because the term“hypermap”is already taken,while“super”usually means anti-comutative.Probably a French term“chˆa teau de cartes”would be more appropriate.Let us add some remarks concerning the interpretation of the various geometric elements of the resulting hypermap.We have already mentioned that its edges are labelled by(non-isomorphic)4-constellations. Now let us consider a black vertex.When the fourth critical value z tends to0andfinally becomes equal to0,what we get is a covering with three critical values0z,1and∞,i.e.,a dessin d’enfant. Combinatorially it is represented by the triple of permutationsσαϕg1g2g3g4.Only there is no garantee that it is connected;in the latter case it must be considered as a disjoint union of dessins.Note that the operationσ1does not change g3and g4,and therefore the product g1g2is also preserved.Thus for all the edges adjacent to a black vertex the corresponding triple g1g2g3g4will be the same.In the same way all the white vertices are labelled by the(probably disconnected)dessinsσαϕg1g2g3g4.336Alexander Zvonkin In order tofind a dessin d’enfant that corresponds to the center of a face,we would like to multiply g2(corresponding to z)and g4(corresponding to∞).But we mustfirst transpose g2and g3by acting by σ12and thus getting the constellation g1g2g3g12g2g4.If we now act on this latter4-constellation by Φ(and then transpose once more the second and the third permutations in it viaσ12),the resulting triple g1g2g3g12g2g4will not change.4ExamplesComputing a megamap is not an easy task.One must not only manipulate the permutations,but verify every time if a newly obtained constellation is isomorphic to any of the previous ones.A program(in Magma language)was implemented by Nicolas Hanusse[Han97],which permitted us to compute the majority of the examples given below.Example4.1Let us consider the generic rational functions of degree3or,in other words,the coverings corresponding to the passport21212121There are four non-isomorphic constellations with this passport,and they are arranged into the megamap shown in Figure4.Now consider the generic polynomials of degree4,that is,the coverings with the passport2122122124It turns out that there are also four non-isomorphic constellations,and the corresponding megamap is the same as above!Fig.4:A megamap which describes the“moduli space”of the generic rational functions of degree3,and also that of the generic polynomials of degree4We see that this example,which is probably the simplest possible,already leads to a rather non-trivial conclusion:there exists a transformation which,for any given generic polynomial of degree4,produces a generic rational function of degree3,and which is a biholomorphic bijection(the rational function becomes non-generic if and only if the polynomial taken was also non-generic).It would be interesting to find this transformation explicitly,but for the moment the author has no idea of how it could look like. Example4.2For the polynomials of degree6with the passport3212142146the corresponding mega-map was in fact shown in Figure1.For the polynomials also of degree6with the passport31321422126the corresponding megamap is shown in Figure5.Megamaps:Construction and Examples337Fig.5:A megamap for the polynomials with the passport31321422126Example4.3Let us consider the polynomials of degree7with the passport2213221322137.This example is of special interest,as this passport is one of the only three exisiting exceptional polynomial passports(see details in[JZ01]).There exist56non-isomorphic constellations with this passport;but this time they don’t form a single orbit of the braid group.In fact,there are four orbits,of sizes7,7,21,and 21respectively.Therefore we must construct four different megamaps.It turns out that the two smaller megamaps(of size7)are isomorphic;the corresponding picture is shown in Figure6.Fig.6:A megamap representing both of the two orbits of size7of Example4.3Fig.7:Megamaps of genus1representing two orbits of size21of Example4.3Concerning the bigger orbits,they are not isomorphic.The easiest way to see this is to look at the picture:the corresponding megamaps are shown in Figure7.For example,in the hypermap on the left338Alexander Zvonkin there is an edge that connects two vertices of degree 2,while in the hypermap on the right such an edge does not exist.Both dessins are of genus 1and thus represent elliptic curves.Note that in both cases the degrees of the black vertices,of the white vertices and of the faces form the same partition 53422.Certainly these ‘dessins d’enfants’are Galois conjugate.Example 4.4In this last example we supply not only combinatorial but also analytic information.Let us consider polynomials of degree n with the passport πn 21221n 221n 2n .The combinatorial computations give the megamap shown in Figure 8.2n -3 s e g m e n t s Fig.8:A megamap of Example 4.4This time the dessin d’enfant is simple enough,and we are able to find the corresponding Belyi function explicitly:placing the black vertex of degree n 1to 0,the center of the smaller face to 1(the center of the outer face is placed at infinity),the white vertex of degree 3to cn c nt n 1t c 2t 1x n 2n 1x 2n n 2t x n 1tAs any polynomial,it has a critical value of multiplicity n at infinity.By construction,it also has a critical point of multiplicity n 2at 0(with the corresponding critical value also equal to 0).What are its other critcal points and values?In order to answer this question let us compute its derivative:P t x n n 1c n t n 1t c 2Megamaps:Construction and Examples339 AcknowledgementsThe author is grateful to N.Adrianov,J.B´e tr´e ma,D.Bouya,J.-M.Couveignes,N.Hanusse,G.Jones and G.Shabat for fruitful discussions.References[Bel79]Bely˘ıG.V.On Galois extensions of a maximal cyclotomicfield.–SR Izvestija,1980, vol.14,no.2,247–256.(Original Russian paper:Izv.Acad.Nauk SSSR,ser.mat.,1979,vol.43, no.2,269–276.)[Bir74]Birman J.S.Braids,Links and Mapping Class Groups.–Princeton University press,1974(An-nals of Math.Studies,vol.82).[CM92]Cori R.,Mach`ıA.Maps,hypermaps and their automorphisms:a survey,I,II,III.—Exposi-tiones Mathematicae,1992,vol.10,403–427,429–447,449-467.[Cou97]Couveignes J.-M.Quelques revˆe tements d´efinis sur Q.–Manuscripta Math.,1997,vol.92, no.4,409–445.[Fri90]Fried M.D.Arithmetic of3an4branch point covers.A bridge provided by noncongruence sub-groups of SL2Z.–In“S´e minaire de Th´e orie des Nombres,Paris,1987–88”,Birkh¨a user,“Progress in Mathematics”,vol.81,1990,77–117.[Gra96]Granboulan L.Construction d’une extension r´e guli`e re de Q T de groupe de Galois M24.–Experimental Math.,1996,vol.5,no.1,3–14.[Gro84]Grothendieck A.Esquisse d’un programme(1984).–In:Schneps L.,Lochak P.,eds.“Geomet-ric Galois Action.V ol.1:Around Grothendieck’s Esquisse d’un Programme”,London Math.Soc.Lecture Notes Series,vol.242,Cambridge Univ.Press,1997,5–48.(English translation:“Scketch of a programme”,the same volume,p.243–284.)[Han97]Hanusse N.Cartes,constellations et groupes:questions algoritmiques.–Ph.D.thesis,Bor-deaux,1997.[Hur1891]Hurwitz A.¨Uber Riemann’sche Fl¨a che mit gegebenen Verzweigungspunkten.–Math.Ann., 1891,vol.39,1–61.[JZ01]Jones G.A.,Zvonkin A.K.Orbits of braid groups on cacti.–Submitted to The Moscow Mathe-matical Journal.[Sch94]Schneps L.(ed.)The Grothendieck Theory of Dessins d’Enfants.–London Math.Soc.Lecture Notes Series,vol.200,Cambridge Univ.Press,1994.[V¨o l96]V¨o lklein H.Groups as Galois Groups.An Introduction.–Cambridge University Press,1996 (“Cambridge Studies in Advanced Mathematics”,vol.53).340Alexander Zvonkin。