ENCYCLOPEDIC DICTIONARY OF MATHEMATICS

By S. HISAN

CONTENTS NUMBER THEORY AND COMBINATORICS BIPARTITE, K-COLORABLE AND K-COLORED GRAPHS TRANSITIVE RELATIONS, TOPOLOGIES AND PARTIAL ORDERS SERIES-PARALLEL NETWORKS TWO ASYMPTOTIC SERIES MULTIPLES AND DIVISORS DISCREPANCY AND UNIFORMITY UNITARISM AND INFINITARISM ERD?S’ MINIMUM OVERLAP PROBLEM PLANAR GRAPH GROWTH CONSTANTS 1 10 TAUBERIAN CONSTANTS 1 11 INTEGER PARTITIONS 1 12 CLASS NUMBER THEORY 1 13 QUADRATIC DIRICHLET L-SERIES 1 14 ELLIPTIC CURVES OVER Q 1 15 MODULAR FORMS ON SL2(Z) 1 16 CHEBYSHEV’S BIAS 1 17 PATTERN-AVOIDING PERMUTATIONS 1 18 CYCLIC GROUP ORDERS 1 19 DEDEKIND ETA PRODUCTS 1 20 SERIES INVOLVING ARITHMETRIC FUNCTIONS 1 21 RIEMANN ZETA MOMENTS 1 22 CENTRAL BINOMIAL COEFFICIENTS 1 23 FRACTIONAL PARTS OF BERNOULLI NUMBERS 1 24 PRODUCTS OF CONSECUTIVE-INTEGER RATIOS 1 25 PRIME NUMBER THEOREM 1 26 MERTENS’ FORMULA 1 27 CYCLOTOMIC POLYNOMIALS 1 28 MINKOWSKI–ALKAUSKAS CONSTANT 1 29 TWO-COLORINGS OF POSITIVE INTEGERS 1 30 SIGNUM EQUATIONS AND EXTREMAL COEFFICIENTS 1 31 MONOIDS OF NATURAL NUMBERS 1 32 PRIMITIVE CUSP FORM 1 33 CUBIC AND QUARTIC CHARACTERS 1 34 DISTRIBUTION OF ERROR TERMS 1 35 CILLERUELO’S LCM CONSTANTS 1 36 AMICABLE PAIRS AND ALIQUOT SEQUENCES 1 37 FERMAT NUMBERS AND ELITE PRIMES 1 38 AVERAGE LEAST NONRESIDUES 1 39 APOLLONIAN CIRCLES WITH INTEGER CURVATURES 1 40 MOLTENI’S COMPOSITION CONSTANT 1 41 BOOLEAN DECISION FUNCTIONS 1 42 MAP ASYMPTOTICS CONSTANT 1 43 INJECTIONS, SURJECTIONS AND MORE INEQUALITIES AND APPROXIMATION HARDY–LITTLEWOOD MAXIMAL INEQUALITIES BESSEL FUNCTION ZEROES NASH’S INEQUALITY UNCERTAINTY INEQUALITIES AIRY FUNCTION ZEROES PROJECTIONS OF MINIMAL NORM BOHR’S INEQUALITY MODULI OF CONTINUITY QUINN–RAND–STROGATZ CONSTANT 2 10 TSIRELSON’S CONSTANT 2 11 MATHIEU EIGENVALUES 2 12 THOMAS–FERMI MODEL 2 13 PRANDTL–BLASIUS FLOW 2 14 LANE–RITTER–EMDEN CONSTANTS 2 15 RADIATIVE TRANSFER EQUATIONS 2 16 CARLEMAN’S INEQUALITY 2 17 GOLAY–LITTLEWOOD PROBLEM 2 18 ONLINE MATCHING COINS 2 19 TOOTHPICKS AND LIVE CELLS 2 20 VIRIAL COEFFICIENTS 2 21 STRONG TRIANGLE INEQUALITY REAL AND COMPLEX ANALYSIS RADII IN GEOMETRIC FUNCTION THEORY NUMERICAL RADII OF LINEAR OPERATORS COEFFICIENT ESTIMATES FOR UNIVALENT FUNCTIONS PLANAR HARMONIC MAPPINGS CONSTANT OF INTERPOLATION DIRICHLET INTEGRAL BRACHISTOCHRONE PROBLEM UNCONDITIONAL BASIS CONSTANTS POWER SERIES WITH RESTRICTED COEFFICIENTS 3 10 HANKEL AND TOEPLITZ DETERMINANTS 3 11 GOL?DBERG’S ZERO-ONE CONSTANTS 3 12 ELECTRICAL CAPACITANCE 3 13 AISSEN’S CONVEX SET FUNCTION 3 14 CONDITION NUMBERS OF MATRICES 3 15 GODDARD’S ROCKET PROBLEM 3 16 SWING-UP CONTROL OF A PENDULUM 3 17 ZERMELO’S NAVIGATION PROBLEM PROBABILITY AND STOCHASTIC PROCESSES HAMMERSLEY’S PATH PROCESS MOMENTS OF SUMS ORNSTEIN–UHLENBECK PROCESS ZERO CROSSINGS VARIANTS OF BROWNIAN MOTION SHAPES OF BINARY TREES EXPECTED LIFETIMES AND INRADII SUBCRITICAL GALTON–WATSON TREES CONTINUED FRACTION TRANSFORMATION 4 10 CONTINUED FRACTION TRANSFORMATION II 4 11 CONTINUED FRACTION TRANSFORMATION III 4 12 CONTINUED FRACTION TRANSFORMATION IV 4 13 LYAPUNOV EXPONENTS 4 14 LYAPUNOV EXPONENTS II 4 15 LYAPUNOV EXPONENTS III 4 16 LYAPUNOV EXPONENTS IV 4 17 STARS AND WATERMELONS 4 18 PROPHET INEQUALITIES 4 19 EXCURSION DURATIONS 4 20 GAMBLER’S RUIN 4 21 SELF-CONVOLUTIONS 4 22 NEWCOMB–BENFORD LAW 4 23 ELECTING A LEADER 4 24 SUBSTITUTION DYNAMICS 4 25 BIHAM–MIDDLETON–LEVINE TRAFFIC 4 26 CONTACT PROCESSES 4 27 INTERPOLATING BETWEEN MAX AND SUM 4 28 MIXING TIME OF MARKOV CHAINS 4 29 CORRELATED PRODUCTS GEOMETRY AND TOPOLOGY KNOTS, LINKS AND TANGLES CONVEX LATTICE POLYGONS VOLUMES OF HYPERBOLIC 3-MANIFOLDS POISSON–VORONOI TESSELLATIONS OPTIMAL ESCAPE PATHS MINKOWSKI–SIEGEL MASS CONSTANTS SLICING PROBLEM CONSTANT OF THEODORUS NEAREST-NEIGHBOR GRAPHS 5 10 RANDOM TRIANGLES 5 11 RANDOM TRIANGLES II 5 12 RANDOM TRIANGLES III 5 13 RANDOM TRIANGLES IV 5 14 RANDOM TRIANGLES V 5 15 RANDOM TRIANGLES VI 5 16 COLLIDING DICE PROBABILITIES 5 17 GERGONNE–SCHWARZ SURFACE 5 18 PARTITIONING PROBLEM 5 19 SOAP FILM EXPERIMENTS 5 20 INFLATING AN INELASTIC MEMBRANE 5 21 ENUMERATIVE GEOMETRY 5 22 DISTANCE-AVOIDING SETS IN THE PLANE 5 23 FRAENKEL ASYMMETRY