Constraint Propagation -- GCC-Like Restrictions on the Same Constraint -- A Note on Bilattices and Open Constraint Programming -- Pruning by Equally Constrained Variables -- Search -- Trying Again to Fail-First -- Characterization of a New Restart Strategy for Randomized Backtrack Search -- Dynamic Distributed BackJumping -- A Value Ordering Heuristic for Local Search in Distributed Resource Al…
Göllnitz-Gordon Partitions with Weights and Parity Conditions -- Partition Identities for the Multiple Zeta Function -- A Perturbative Theory of the Evolution of the Center of Typhoons -- Algebraic Aspects of Multiple Zeta Values -- On the Local Factor of the Zeta Function of Quadratic Orders -- Sums Involving the Hurwitz Zeta-Function Values -- Crystal Symmetry Viewed as Zeta Symmetry -- Sum …
Mathematical Reasoning and Visualization -- Visualization in Logic and Mathematics -- From Symmetry Perception to Basic Geometry -- Naturalism, Pictures, and Platonic Intuitions -- Mathematical Activity -- Mathematical Explanation and Proof Styles -- Tertium Non Datur: On Reasoning Styles in Early Mathematics -- The Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Pr…
to Shape Optimization Theory and Some Classical Problems -- Optimization Problems over Classes of Convex Domains -- Optimal Control Problems: A General Scheme -- Shape Optimization Problems with Dirichlet Condition on the Free Boundary -- Existence of Classical Solutions -- Optimization Problems for Functions of Eigenvalues -- Shape Optimization Problems with Neumann Condition on the Free Bound…
Formulation of the Problems and Their Nonstationary Boundary Integral Equations -- Problems with Dirichlet Boundary Conditions -- Problems with Neumann Boundary Conditions -- Boundary Integral Equations for Problems with Dirichlet and Neumann Boundary Conditions -- Transmission Problems and Multiply Connected Plates -- Plate Weakened by a Crack -- Initial-Boundary Value Problems with Other Type…
1 -- The Work of G. Stampacchia in Variational Inequalities -- In Memory of Guido Stampacchia -- The Collaboration between Guido Stampacchia and Jacques-Louis Lions on Variational Inequalities -- In Memory of Guido Stampacchia -- Guido Stampacchia -- Memories of Guido Stampacchia -- In Memory of Guido Stampacchia -- Guido Stampacchia, My Father -- 2 -- Convergence and Stability of a Regularizat…
Introduction, Exemples -- Topologies sur les domaines de ?N -- Continuité par rapport au domaine -- Existence de formes optimales -- Dérivation par rapport au domaine -- Propriétés géométriques de l’optimum -- Relaxation, homogénéisation.Ce livre est une initiation aux approches modernes de l’optimisation mathématique de formes. Il s’appuie sur les seules connaissances de premiè…
Absolute Values -- Valuations -- Extension of Valuations -- Henselian Fields -- Structure Theory -- Applications of Valuation Theory.Absolute values and their completions -like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valu…
The Nature of SPSS -- Summarizing Data Graphically -- Summarizing Data Numerically: Measures of Central Tendency -- Summarizing Data Numerically: Measures of Variability -- Summarizing Multivariate Data: Association Between Numerical Variables -- Summarizing Multivariate Data: Association Between Categorical Variables -- Basic Ideas of Probability -- Probability Distributions -- Sampling Distri…
Solving Polynomial Equations -- Resultants -- Computation in Local Rings -- Modules -- Free Resolutions -- Polytopes, Resultants, and Equations -- Polyhedral Regions and Polynomials -- Algebraic Coding Theory -- The Berlekamp-Massey-Sakata Decoding Algorithm.In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpens…