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List Of Things Named After John Von Neumann
This is a list of things named after John von Neumann. John von Neumann (1903–1957), a mathematician, is the eponym of all of the things (and topics) listed below. * Birkhoff–von Neumann algorithm * Birkhoff–von Neumann theorem ** Birkhoff–von Neumann decomposition * Dirac–von Neumann axioms * Koopman–von Neumann classical mechanics * Schatten–von Neumann norm *Stone–von Neumann theorem * Taylor–von Neumann–Sedov blast wave * von Neumann algebra ** Abelian von Neumann algebra **Enveloping von Neumann algebra ** Finite-dimensional von Neumann algebra * von Neumann architecture * von Neumann bicommutant theorem * von Neumann bounded set * Von Neumann bottleneck *von Neumann cardinal assignment * von Neumann cellular automaton * von Neumann conjecture * von Neumann constant ** Murray–von Neumann coupling constant **Jordan–von Neumann constant * von Neumann's elephant * von Neumann entropy ** von Neumann entanglement entropy * von Neumann equation * von Neumann ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Von Neumann
John von Neumann (; hu, Neumann János Lajos, ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. He was regarded as having perhaps the widest coverage of any mathematician of his time and was said to have been "the last representative of the great mathematicians who were equally at home in both pure and applied mathematics". He integrated pure and applied sciences. Von Neumann made major contributions to many fields, including mathematics (foundations of mathematics, measure theory, functional analysis, ergodic theory, group theory, lattice theory, representation theory, operator algebras, matrix theory, geometry, and numerical analysis), physics (quantum mechanics, hydrodynamics, ballistics, nuclear physics and quantum statistical mechanics), economics ( game theory and general equilibrium theory), computing ( Von Neumann architecture, linear programming, numerical meteo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Von Neumann Cardinal Assignment
The von Neumann cardinal assignment is a cardinal assignment that uses ordinal numbers. For a well-orderable set ''U'', we define its cardinal number to be the smallest ordinal number equinumerous to ''U'', using the von Neumann definition of an ordinal number. More precisely: :, U, = \mathrm(U) = \inf \, where ON is the class of ordinals. This ordinal is also called the initial ordinal of the cardinal. That such an ordinal exists and is unique is guaranteed by the fact that ''U'' is well-orderable and that the class of ordinals is well-ordered, using the axiom of replacement. With the full axiom of choice, every set is well-orderable, so every set has a cardinal; we order the cardinals using the inherited ordering from the ordinal numbers. This is readily found to coincide with the ordering via ≤''c''. This is a well-ordering of cardinal numbers. Initial ordinal of a cardinal Each ordinal has an associated cardinal, its cardinality, obtained by simply forgetting the order. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Von Neumann Measurement Scheme
In quantum physics, a measurement is the testing or manipulation of a physical system to yield a numerical result. The predictions that quantum physics makes are in general probabilistic. The mathematical tools for making predictions about what measurement outcomes may occur were developed during the 20th century and make use of linear algebra and functional analysis. Quantum physics has proven to be an empirical success and to have wide-ranging applicability. However, on a more philosophical level, debates continue about the meaning of the measurement concept. Mathematical formalism "Observables" as self-adjoint operators In quantum mechanics, each physical system is associated with a Hilbert space, each element of which represents a possible state of the physical system. The approach codified by John von Neumann represents a measurement upon a physical system by a self-adjoint operator on that Hilbert space termed an "observable". These observables play the role of measur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
