Analogies between Analogies
  Foreword
  Preface

 collapse section1—  Theory of Multiplicative Processes:  With David Hawkins (LA-171, November 14, 1944)
 •Abstract
 •Conclusions Regarding Applications
 •Reference
 collapse section2—  Statistical Methods in Neutron Diffusion:  With J. von Neumann and R. D. Richtmyer (LAMS-551, April 9, 1947)
 •Abstract
 •Tentative Computing Sheet
 collapse section3—  Multiplicative Systems in Several Variables I, II, III:  With C.J. Everett (LA-683, June 7, 1948) (LA-690, June 11, 1948) (LA-707, October 28, 1948)
 collapse sectionI
 •Abstract
 •Introduction
 •I—  The Generating Transformation
 •II—  First moments. Jacobian
 •III—  Second moments. Hessians
 •IV—  Fixed Points of the Transformation x[prime] = G(x)
 •V—  On the lim[sub(k)]p[sub(k)] (i;j)
 •VI—  On lim G[superscript(k)](x) = x[superscript(0)]
 •VII—  Supercriticality Conditions
 •VIII—  A Theorem On Ratios
 collapse sectionII
 •Abstract
 •I—  Some Properties of the Jacobian
 •II—  Direction of Flow of G[superscript(k)](x) in Subcritical Systems
 •III—  On the Distribution of Death in Subcritical Systems
 •IV—  Subcritical System with Source
 •V—  Total Progeny for Systems Without Source
 •VI—  Total Progeny in Subcritical System with Source
 •VII—  The "Time" Particle
 •VIII—  Total Progeny as an Iterative Problem
 collapse sectionIII
 •Abstract
 •I—  A Remark On Measure Theory
 •II—  The Set of Graphs
 •III—  The Space of Graphs
 •IV—  Measure in the Space of Graphs
 •V—  m(T) = x[superscript(0)subscript(i)]
 •VI—  A Strong Ratio Theorem for Supercritical Systems
 •VII—  Remarks On Systems below Critical
 collapse sectionReferences
 •I
 •II
 •III
 collapse section4—  Heuristic Studies in Problems of Mathematical Physics On High Speed Computing Machines:  With John Pasta (LA-1557, 1953)
 •1—  Hydrodynamical Problems; Heuristic Considerations
 •2—  Instability and Mixing
 •3—  Billowing Transformations
 •4—  Problems on Rotational Motions in Gravitating Systems
 •5—  Magnetic Lines of Force
 •Reference
 collapse section5—  Studies of Non Linear Problems:  With E. Fermi and J. Pasta (LA-1940, May 1955)
 •Abstract
 collapse section6—  On the Ergodic Behavior of Dynamical Systems:  (LA-2055, May 10, 1955)
 •Reference
 collapse section7—  On a Method of Propulsion of Projectiles by Means of External Nuclear Explosions:  With C. J. Everett (LAMS-1955, August 1955)
 •Abstract
 •1—  Introduction
 collapse section2—  Kinematics
 •Case 1—  Constant Acceleration
 •Case 2—  Constant Mass
 •3—  Remarks
 •References
 collapse section8—  Some Schemes for Nuclear Propulsion, Part I:  With C. Longmire (LAMS-2186, March 1958)
 •Introduction
 collapse sectionPart I—  C. Longmire and S. Ulam-Internal Explosions
 •References
 collapse section9—  On the Possibility of Extracting Energy from Gravitational Systems by Navigating Space Vehicles:  (LAMS-2219, April 1, 1958)
 •References
 collapse section10—  Quadratic Transformations Part I:  With P. R. Stein and M. T. Menzel (LA-2305, March 1959)
 •Abstract
 •Introduction
 •I—  Homogeneous Quadratic Transformations
 •II—  Normalization
 •III—  Binary Reaction Systems
 •IV—  Procedure and Results
 •V—  Convergence Behavior
 •VI—  The Nature of the Interior Fixed Points
 •VII—  Periodic Limits
 •VIII—  Form Stability
 collapse sectionIX—  A Specific Convergence Problem
 •1—  The Exceptional Case I.2.j
 •2—  The Asymptotic Behavior of the Angle of the Radius Vector under Iteration
 •X—  Further Generalizations
 •XI—  Properties in the Large
 collapse sectionXII—  Connection with Ordinary Differential Equations
 •Explanation of Graphs
 •Table I—  Summary of Convergence Behavior of Three-Variable Binary Reaction Systems
 •Introduction to Table II
 •Table II—  Three-Variable Binary Reaction Systems
 •Introduction to Table III
 •Table III—  Examples of Binary Reaction Systems for N>3
 •Explanation of Tables IV and V
 •Table IV—  Modifications of System I.3.g.
 •Table V—  Modifications of System I.3.g.
 •Table VI—  Super-Systems
 •Appendix
 •References
 collapse section11—  Non-Linear Transformation Studies On Electronic Computers:  With P. R. Stein (LADC-5688, 1963)
 •Introduction
 •I—  The Role of the Computing Machine
 •II—  Limit Sets
 •III—  The "At-Modification"
 •IV—  Modification of the Coefficients
 •V—  Relation to the Theory of Differential Equations
 •VI—  Broken-Linear Transformations in Two-Dimensions
 •Appendix I
 •Appendix II
 •References
 collapse section12—  On Recursively Defined Geometrical Objects and Patterns of Growth:  With R. G. Schrandt (LA-3762, August 15, 1967)
 •Abstract
 •Rules of Growth
 •Two-Dimensional Patterns
 •Rules for Termination or "Death" in the Pattern
 •Contests or Fights between Two Configurations
 •Three-Dimensional Model
 •Acknowledgments
 •Reference
 collapse section13—  Computer Studies of Some History-Dependent Random Processes:  With W. A. Beyer and R. G. Schrandt (LA-4246, October 28,1969)
 •Abstract
 •I—  Introduction
 collapse sectionII—  Random Walk Examples
 •A—  Self-Avoiding Random Walk
 •B—  History-Dependent Walk On the Line (Pólya)
 •C—  History-Dependent Walk On a Plane Lattice
 •D—  A History-Dependent Explosion
 •III—  Integer Sequences Generated by History-Dependent Random Processes
 •IV—  Number Theoretical Games
 •V—  A Problem
 •Appendix
 •References
 collapse section14—  The Entropy of Interacting Populations:  With C. J. Everett (LA-4256, August 1969)
 •Abstract
 •I—  The System of "Particles"
 •II—  A Linked System of "Particles" and "Photons"
 •Appendix I
 •Appendix II
 •References
 collapse section15—  Some Elementary Attempts at Numerical Modeling of Problems Concerning Rates of Evolutionary Processes:  With R. Schrandt (LA-4573-MS, December 1970)
 •Abstract
 •I—  Introduction
 •II—  ADAM
 collapse sectionIII—  EVE
 •A—  EVE-PQ
 •B—  EVE-PM
 •C—  EVE-POS
 •IV—  Summary
 collapse section16—  The Notion of Complexity:  With W. A. Beyer and M. L. Stein (LA-4822, December 1971)
 •Abstract
 •I—  Introduction
 •II—  Arithmetic Complexity of Integers
 •III—  Complicated Numbers
 •IV—  Complexity and Entropy
 •V—  Complexity of N -Tuples of Integers
 collapse sectionReferences
 •Additional References Not Used in Text
 collapse section17—  Metrics in Biology, an Introduction:  With W. A. Beyer, M. L. Stein, and Temple-Smith* (LA-4973, August 1972)
 •Abstract
 •I—  Introduction
 •II—  Dissimilarity Coefficients and Metrics
 •III—  Metrics in the Space of Closed Sets, Hausdorff Distance, and Applications
 •IV—  Metrics for Molecular Taxonomy
 •V—  Remarks
 •References
 collapse section18—  On the Theory of Relational Structures and Schemata for Parallel Computation:  With A. R. Bednarek (LA-6734-MS, May 1977)
 •Abstract
 •I—  Introduction
 •II—  Functional and Relational Composition
 •III—  Some Studies of Relational Structures
 •IV—  Possible Applications of Results on Relational Structures
 •V—  Relation Algebras: Some Examples
 collapse sectionAppendix A
 •Examples of Combinatorial and Set-Theoretical Problems Concerning the Operation of Forming Product Sets
 collapse sectionAppendix B
 •Physical Realizations of Nonserial Compositions
 •A—  Discrete Systems
 •B—  Homogeneous and Partially Parallel, Partially Serial Systems
 •References and Related Publications
 collapse section19—  The Scottish Book a LASL Monograph:  (LA-6832, 1977)
 •Preface to Monograph
 •Preface
 collapse section20—  On the Notion of Analogy and Complexity in Some Constructive Mathematical Schemata:  (LA-9065-MS, October 1981)
 •Abstract
 •I—  Generalizations about Analogy
 •II—  Complexity
 •III—  Comparisons between the Complexity of Constructive Systems
 •References
 collapse section21—  Speculations about the Mechanism of Recognition and Discrimination:  (LA-UR-82-62, 1982)
 •References

 collapse sectionAppendix A—  Publications of Stanislaw M. Ulam
 •Abstracts
  Appendix B—  Vita of Stanislaw M. Ulam
 collapse sectionIndex
 •A
 •B
 •C
 •D
 •E
 •F
 •G
 •H
 •I
 •J
 •K
 •L
 •M
 •N
 •O
 •P
 •Q
 •R
 •S
 •T
 •U
 •V
 •W
 •Z
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