I Basic Theories -- Dynamical Systems -- Economic Equilibrium -- Control as Programming in General Normed Linear Spaces -- to the Algebraic Theory of Linear Dynamical Systems -- Duality in Mathematical Programming -- Mathematical Theory of General Systems and some Economic Problems -- Convex...

Table des Matieres / Table of Contents -- Theorie Du Filtrage / Filtering Theory -- Filtering for linear stochastic hereditary differential systems -- A Kalman-Bucy filtering theory for affine hereditary differential equations -- Linear least-squares estimation of discrete-time stationary...

I: The Model and Methodology -- 1. Introduction -- 2. The Model -- 3. The Parameters and the Admissible Parameter Space -- 4. Analysis of Identification -- 5. A Remark on Estimation -- 6. An Example: Dynamic vs. Contemporaneous Models -- II: White-Noise Shock; White-Noise Exogenous Variables --...

I On the Origin of the Ideas -- 1. Origin in mathematical economics and mathematical physics. -- 2. Theory of motion in physics: Galileo, Newton, Euler, Lagrange, Hamilton. -- 3. Principle of Statics in economics and mechanics. -- 4. Idea of central principle of motion for economics. -- 5....

I. General Theory -- 1. Introduction -- 2. Graphical Representations and Deterministic Approximation -- 3. Motion of Holes -- 4. Diffusion Equation -- 5. Queue Length Distribution -- 6. Soft Boundaries -- 7. Moments -- References -- II. A Single Server -- 1. Diffusion Equation -- 2. Queue...

I: Overviews -- An Overview of Mechanical Theorem Proving -- Game Playing Programs: An Approach and An Overview -- GPS and Decision Making: An Overview -- Natural Language Question Answering Systems: 1969 -- II: Problems in Foundations -- The Role of Weltanschauung in Problem Solving and Inquiry...

Content -- § 1. Justification of the coordinate-free approach -- § 2. Vector-spaces -- a) Definition of a vector-space -- b) Inner products and semi-inner products -- c) Bases of a vector-space, orthogonal complement -- d) Linear functions, linear mappings and adjoint mappings -- e) Definition...

I. Industrial Production Problems -- Programming and Lot Size Approaches to Determine Optimal Volume of Coal Production in the Federal Republic of Germany -- Optimization Problems in a Queueing System with Breakdowns -- A Queueing Model of a Capacity Planning Problem in the Tea Industry --...

1 Scalar-Valued Production Functions: Homotheticity, Quasilinearity, and Technical Progress -- Invariant Relationships for Homothetic Production Functions -- Characterization of the CES Production Functions by Quasilinearity -- Technical Progress, Neutral Inventions, and Cobb-Douglas -- A...

I. Theory -- 1. Introduction -- 2. The Inverse Problem of Design -- 3. Complex Extension and the Schwarz Reflection Principle -- 4. Characteristic Coordinates -- 5. Initial Data -- 6. The Singular Solution -- 7. Finite Difference Scheme -- 8. The Sonic Locus -- 9. Branch Points and Limiting...