Neumann, J. von

Neumann, J. von and Burks, A., eds. (1966). Theory of Self-Reproduction Automata. University of Illinois Press. 

Neumann J. von. The Theory of Self-reproducing Automatic Devices, transl. from Eng., Moscow, Mir Publ., 1971. 

Variance, 269 of a distribution, 120 significance of, 123 of a Poisson distribution, 122 Variational equations of dynamical systems, 344 of singular points, 344 of systems with n variables, 345 Vector norm, 53 Vector operators, 394 Vector relations in particle collisions, 8 Vectors, characteristic, 67 Vertex, degree of, 258 Vertex, isolated, 256 Vidale, M. L., 265 Villars, P.,488 Von Neumann, J., 424 Von Neumann projection operators, 461... 

J. von Neumann, The Mathematical Foundations of Quantum Mechanics, Dover, New York, 1959. 

Neumann, F., von Berswordt-Wallrabe, R., Eiger, W., Steinbeck, H., Hahn, J.D. and Kramer, M. (1970). Aspects of androgen-dependent events as studied by antiandrogens. Recent Pmg. Horn. Res. 26 337-410. 

J. Von Neumann, Theory of Detonation Waves, Pergamon Press, 1963. 

Accdg to Hammersley Handscomb (Addnl Ref N, p 8), S. Ulam, J. von Neumann and E. Fermi independently rediscovered Monte Carlo methods ca 1944 and started its systematic development. They also ensured that their scientific colleagues should become aware of the possibilities, potentialities and physical applications. The real use of Monte Carlo methods as research tools is attributed to von Neumann Ulam who applied them to random neutron diffusion in fissile material... 

Refs 1) J. von Neumann R.D. Richtmayer, "A Method for the Numerical Calculation of Hydrodynamic Shocks , JApplPhys 21, 232-37 (1950) la) M. Sultanoff, "Detonation and Shock in Hollow Explosive Cylinder , 4thSympCombstn (1953), 494-97 ... 

Hydrodynamic theory of deton and shock waves) 29c) J.O. Hirschfelder et al, OSRD 547(1942) (Thermochemistry and the equation of state of the propellant gases) 30) J. von Neumann, OSRD 549(1942) (Theory of deton waves)... 

S.R. Brinkley Jr E.B. Wilson Jr, "Revised Method of Predicting the Detonation Velocities in Solid Explosives , OSRD 905 (1942) (Included in the report is a discussion on hydrothermodynamic theory) 32a) J. von Neumann, OSRD 1140(1942) (Discussion on the theory of stationary deton waves)... 

It follows that the reaction must be regarded as initiated at a shock front, in conformity with the picture of J. von Neumann (such as described briefly above and more fully in Ref 6 and in Ref 24a, p 6) 2) The front of the rarefaction wave, in a region of nonvanishing reaction velocity, moves with respect to the medium at a velocity equal to the local sound velocity computed under adiabatic - and frozen - reaction conditions... 

G.B. Kistiakowsky E.B. Wilson, Jr1. "Final Report on die Hydrodynamic Theory of Detonation and Shock Waves OSRD 114(1941) 6) J. von Neumann "Theory... 

J. von Neumann, Mathematische Grundlagen der Quantenmechanick, Springer, Berlin, 1932, Chap. V, Section 3, particularly pp. 208-209. 

---