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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
The essential dimension is a numerical invariant of the group; it is often equal to the minimal number of independent parameters required to describe all algebraic objects of a certain type.
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We show that the structure of a block outside the critical hyperplanes of category O over a symmetrizable Kac-Moody algebra depends only on the corresponding integral Weyl group and its action on the parameters of the Verma modules.
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Quantitative parameters in an analog of the Beurling-Pollard theorem differ from those for A.
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Quantitative parameters in an analog of the Beurling-Pollard theorem differ from those for A.
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In this article we consider the question when one can generate a Weyl- Heisenberg frame for l2(?) with shift parameters N, M-1 (integer N, M) by sampling a Weyl-Heisenberg frame for L2(?) with the same shift parameters at the integers.
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In the second example, we obtain a proof of the Chalyh-Veselov conjecture that the Calogero-Moser system with integer parameter is algebraically integrable, using the results of Felder and Varchenko.
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The quantum toroidal action on the Fock space depends on a certain parameter κ.
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We find that with a specific choice of this parameter, the action on the Fock spaces gives rise to the toroidal action on irreducible level-1 highest weight modules of the affine quantum algebra.
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Similarly, by a specific choice of the parameter, the level (1,0) vertex representation of the quantum totoidal algebra gives rise to a structure on irreducible level-1 highest weight-modules.
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As a consequence, there is either a unique set, or an (almost) unique two-parameter set of Weyl group invariant quantum zonal spherical functions associated to an irreducible symmetric pair.
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We consider 3-parametric polynomialsPμ*(x; q, t, s) which replace theAn-series interpolation Macdonald polynomialsPμ*(x; q, t) for theBCn-type root system.
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We also prove a binomial formula for 6-parametric Koornwinder polynomials.
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As a consequence this also holds for all functions or curves obtained as the limit of this procedure, such as the Bernstein polynomials, Bézier and spline parametric curves, etc.
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An algorithm is derived for determining such a set of perturbation polynomials which are subject to certain constrains at the endpoints of a prescribed parametric interval and minimized in a certain sense.
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In this paper, the estimation method based on the "generalized profile likelihood" for the conditionally parametric models in the paper given by Severini and Wong (1992) is extended to fixed design semiparametric nonlinear regression models.
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Consistency of MLE of the parameter of exponential lifetime distribution for random censoring model with incomplete information
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In particular, when the new shape parameter of the distribution under progressive stress is given (or estimated in advance), the closed forms of these estimators are relatively simple and are numerically accessible on computers.
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The direct criterions for local stability of positive equilibrium and existence of limit cycle are also established when inference parameter of predator is small.
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Based on the above model, a method to identify the servo parameter of the parallel mechanism is put up.
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In this paper, we show that the Lax connections can yield new classical solutions with a spectral parameter of the hybrid formulism for the Type IIB superstring in an AdS2 × S2 background with Ramond-Ramond flux.
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