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The study of the implications of chaos for a system in the semiclassical (i.e., between classical and

**quantum**mechanical) regime. In**quantum**chaos, trajectories do not ...The

**quantum**of a finite floating-point representation is the value of a unit in the last position of its significand. In general, the**quantum**is equal to the radix raised to ...Let B_t={B_t(omega)/omega in Omega}, t>=0, be one-dimensional Brownian motion. Integration with respect to B_t was defined by Itô (1951). A basic result of the theory is that ...

A qubit (or

**quantum**bit) is the analog of a bit for**quantum**computation. Unlike an ordinary bit, which may only assume two possible values (usually called 0 and 1), a qubit ...Computation time (also called "running time") is the length of time required to perform a computational process. Representation a computation as a sequence of rule ...

Given a decimal-valued floating-point operation in the IEEE 754-2008 standard, the preferred exponent is the value of the exponent q which preserves the

**quantum**of the ...q-calculus or

**quantum**calculus is a methodology comparable to the usual study of calculus but which is centered on the idea of deriving q-analogous results without the use of ...A theorem of fundamental importance in spectroscopy and angular momentum theory which provides both (1) an explicit form for the dependence of all matrix elements of ...

The Kubo-Martin-Schwinger (KMS) condition is a kind of boundary-value condition which naturally emerges in

**quantum**statistical mechanics and related areas. Given a**quantum**...A theorem which specifies the structure of the generic unitary representation of the Weyl relations and thus establishes the equivalence of Heisenberg's matrix mechanics and ...

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