CONTENTS -- Foreword -- Monte-Carlo and Quasi-Monte-Carlo Methods for Numerical Integration -- 1 INTRODUCTION -- 2 POINT SETS FOR MONTE-CARLO METHODS -- 3 POINT SETS FOR QUASI-MONTE-CARLO METHODS -- References -- Theoretical Approaches to Judgment and Choice -- 1 INTRODUCTION -- 2 ORDINAL PREFERENCES -- 3 COMPARABLE PREFERENCE DIFFERENCES -- 4 MULTIPLE ATTRIBUTES -- 5 TIME STREAMS -- 6 CHOICE FUNCTIONS -- 7 SOCIAL CHOICE FUNCTIONS -- 8 SUBSET RANKING AND CHOICE -- 9 LOTTERIES AND RISK -- 10 UNCERTAINTY -- References -- Combinatorial Aspects of Mathematical Social Science -- 1 INTRODUCTION -- 2 LIST OF APPLICABLE MATHEMATICS IN SOCIAL SCIENCE -- 3 SOCIAL WELFARE FUNCTIONS (SWF) -- 4 PROSPECTS -- 5 OPEN PROBLEMS -- References -- Twelve Views of Matroid Theory -- INTRODUCTION -- 1 LINEAR DEPENDENCE WITHOUT SCALARS -- 2 BASIS EXCHANGE PROPERTIES -- 3 GEOMETRIC LATTICES -- 4 GRAPH THEORY WITHOUT VERTICES -- 5 GRAPH THEORY AND LEAN LINEAR ALGEBRA -- 6 VARIETIES OF FINITE MATROIDS -- 7 SECRET-SHARING MATROIDS -- 8 GREEDY ALGORITHMS, MATROID INTERSECTION, AND MATROID PARTITION -- 9 MATRIX MULTIPLICATION AND THE CAUCHY-BINET IDENTITY -- 10 BASIS GENERATING FUNCTIONS AND THE MATRIX-TREE THEOREM -- 11 GENERIC RANK-GENERATING POLYNOMIALS -- References -- Enumeration of Graph Coverings, Surface Branched Coverings and Related Group Theory -- 1 Definitions and Notations -- 2 Cycle permutation graphs and the double cosets of Dn in Sn -- 3 Graph coverings and subgroups of free groups -- 4 Regular coverings with abelian voltage groups and subgroups of free abelian groups -- 5 Regular coverings having dihedral voltage groups -- 6 Regular coverings -- A general case -- 7 New classifications of branched coverings and the number of subgroups of a surface group -- 8 Distributions of branched surface coverings -- References.

An Overview of the Poset of Irreducibles -- 1 Introduction -- 2 The Poset of Irreducibles -- 3 Applications -- References -- Number Theory and Public-Key Cryptography -- 1 Introduction -- 2 Public-Key Cryptography -- 3 New Requirements -- 4 The Algorithmic Number Theory -- 5 Trapdoor One-Way Problems -- 6 Recapitulation -- 7 Application to Public Key Cryptography -- 8 Conclusion and Open Problems -- References -- Some Applications of Graph Theory -- 1 Introduction -- 2 Graph Coloring -- 3 The Second Concept: Intersection Graph -- 4 Third Concept: Competition Graph -- 5 Closing Comment -- References -- Duality and its Consequences for Ordered Cohomology of Finite Type Subshifts -- 1 INTRODUCTION -- 2 FUNDAMENTAL GROUP AND HOMOLOGY -- 3 REPRESENTATION OF CLOPEN SETS -- 4 ORBIT CLOSURE EQUIVALENCE -- 5 ACTION OF AUTOMORPHISMS ON ORDERED COHOMOLOGY -- 6 CONCLUSION -- References -- Simple Maximum Likelihood Methods for the Optical Mapping Problem -- 1 Introduction -- 2 Known Orientation -- 3 Unknown Orientation -- 4 Initial Values of Parameters and Independent Flipping -- 5 Experimental Results -- 6 Conclusion -- References.