Translation for 'asymptotic' from English to French

asymptotic

asymptotique {adj}math.stat.

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asymptotic density

densité {f} naturellemath.phys.

densité {f} asymptotiquemath.phys.

densité {f} arithmétiquemath.phys.

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asymptotic expansion

développement {m} asymptotiquemath.

asymptotic series

développement {m} asymptotiquemath.

• The notion of an asymptotic cone plays an important role in geometric group theory since asymptotic cones (or, more precisely, their topological types and bi-Lipschitz types) provide quasi-isometry invariants of metric spaces in general and of finitely generated groups in particular.
• A new proof found by Vitali Milman in the 1970s was one of the starting points for the development of asymptotic geometric analysis (also called "asymptotic functional analysis" or the "local theory of Banach spaces").
• In this formulation "V/n" can be called the "asymptotic variance" of the estimator. However, some authors also call "V" the "asymptotic variance".
• In finite group theory, the Higman–Sims asymptotic formula gives an asymptotic estimate on number of groups of prime power order.
• It can be shown that if a quantum field theory in Minkowski space has a mass gap, the state in the asymptotic past and in the asymptotic future are both described by Fock spaces.

• Asymptotic efficiency requires Consistency (statistics), asymptotic normally distribution of estimator, and asymptotic variance-covariance matrix no worse than any other estimator.
• as part of his foundational contribution to the development of asymptotic theory in mathematical statistics.
• When the sample size is small, asymptotic results given by some traditional methods may not be valid.
• Asymptotic expansions of angular prolate spheroidal wave functions for large values of [...] have been derived by Müller.
• Le Cam was the major figure during the period 1950 – 1990 in the development of abstract general asymptotic theory in mathematical statistics.

• Bernoulli numbers are also frequently used in other kinds of asymptotic expansions. The following example is the classical Poincaré-type asymptotic expansion of the digamma function [...].
• For a given asymptotic scale [...] the asymptotic expansion of function [...] is unique.