In mathematics, and more specifically in analysis, a holonomic function is a smooth function of several variables that is a solution of a system of linear...
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and time t {\displaystyle t\,\!} Holonomic module in the theory of D-modules Holonomic function, a smooth function that is a solution of a linear homogeneous...
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called holonomic functions. This class of functions is stable under sums, products, differentiation, integration, and contains many usual functions and special...
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Holonomic brain theory is a branch of neuroscience investigating the idea that human consciousness is formed by quantum effects in or between brain cells...
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In classical mechanics, holonomic constraints are relations between the position variables (and possibly time) that can be expressed in the following...
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process function X may be either holonomic or non-holonomic. For a holonomic process function, an auxiliary state function (or integrating factor) λ may...
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have a holonomic generating function are equivalent. Holonomic functions are closed under the Hadamard product operation ⊙ on generating functions. The...
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elementary and special functions have a Taylor series whose coefficients satisfy such a recurrence relation (see holonomic function). Solving a recurrence...
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special functions such as Airy function, error function, Bessel functions and all hypergeometric functions. A fundamental property of holonomic functions is...
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D-module (redirect from Holonomic module)
operators. The strongest results are obtained for over-determined systems (holonomic systems), and on the characteristic variety cut out by the symbols, which...
17 KB (2,086 words) - 17:09, 17 August 2024