共查询到10条相似文献,搜索用时 296 毫秒
1.
Xiuyuan Yu 《中国科学A辑(英文版)》1997,40(8):825-831
A theorem on the transcendency, for a limit of a sequence of algebraic numbers, is given and used to test the transcendencies
of some classes of numbers.
Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Zhejiang Province. 相似文献
2.
Semiparametric reproductive dispersion nonlinear model (SRDNM) is an extension of nonlinear reproductive dispersion models
and semiparametric nonlinear regression models, and includes semiparametric nonlinear model and semiparametric generalized
linear model as its special cases. Based on the local kernel estimate of nonparametric component, profile-kernel and backfitting
estimators of parameters of interest are proposed in SRDNM, and theoretical comparison of both estimators is also investigated
in this paper. Under some regularity conditions, strong consistency and asymptotic normality of two estimators are proved.
It is shown that the backfitting method produces a larger asymptotic variance than that for the profile-kernel method. A simulation
study and a real example are used to illustrate the proposed methodologies.
This work was supported by National Natural Science Foundation of China (Grant Nos. 10561008, 10761011), Natural Science Foundation
of Department of Education of Zhejiang Province (Grant No. Y200805073), PhD Special Scientific Research Foundation of Chinese
University (Grant No. 20060673002) and Program for New Century Excellent Talents in University (Grant No. NCET-07-0737) 相似文献
3.
Ji-bin Li 《中国科学A辑(英文版)》2007,50(2):153-164
Using the methods of dynamical systems for the (n + 1)-dimensional multiple sine-Gordon equation, the existences of uncountably infinite many periodic wave solutions and breaking
bounded wave solutions are obtained. For the double sine-Gordon equation, the exact explicit parametric representations of
the bounded traveling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are
determined.
This work was supported by the National Natural Science Foundation of China (Grant No. 11671179) and the Natural Science Foundation
of Yunnan Province (Grant No. 2005A0092M). 相似文献
4.
Guangxing Zeng 《中国科学A辑(英文版)》1999,42(12):1251-1261
For a multivariate polynomial equation with coefficients in a computable ordered field, two criteria of this equation having
real solutions are given. Based on the criteria, decision methods for the existence of real zeros and the semidefiniteness
of binaly polynomials are provided. With the aid of computers, these methods are used to solve several examples. The technique
is to extend the original field involved in the question to a computable non-Archimedean ordered field containing infinitesimal
elements.
Project supported by the National Natural Science Foundation of China (Grant No. 19661002) and the Climbing Project. 相似文献
5.
In this paper a method is given to calculate the explicit expressions of embedding genus distribution for ladder type graphs
and cross type graphs. As an example, we refind the genus distribution of the graph J
n
which is the first class of graphs studied for genus distribution where its genus depends on n.
This work was supported National Natural Science Foundation of China (Grant Nos. 10571013, 60433050) and the State Key Development
Program of Basic Research of China (Grant No. 2004CB318004) 相似文献
6.
The Kuhn-Tucker type necessary conditions of weak efficiency are given for the problem of minimizing a vector function whose
each component is the sum of a differentiable function and a convex function, subject to a set of differentiable nonlinear
inequalities on a convex subset C of ℝ
n
, under the conditions similar to the Abadie constraint qualification, or the Kuhn-Tucker constraint qualification, or the
Arrow-Hurwicz-Uzawa constraint qualification.
Supported by the National Natural Science Foundation of China (No. 70671064, No. 60673177), the Province Natural Science Foundation
of Zhejiang (No.Y7080184) and the Education Department Foundation of Zhejiang Province (No. 20070306). 相似文献
7.
Chang-jian Zhao 《中国科学A辑(英文版)》2007,50(9):1347-1360
In this paper, we first introduce a concept of L
p
-dual Quermassintegral sum function of convex bodies and establish the polar projection Minkowski inequality and the polar
projection Aleksandrov-Fenchel inequality for L
p
-dual Quermassintegral sums. Moreover, by using Lutwak’s width-integral of index i, we establish the L
p
-Brunn-Minkowski inequality for the polar mixed projection bodies. As applications, we prove some interrelated results.
This work was partially supported by the National Natural Science Foundation of China (Grant No. 10271071), Zhejiang Provincial
Natural Science Foundation of China (Grant No. Y605065) and Foundation of the Education Department of Zhejiang Province of
China (Grant No. 20050392) 相似文献
8.
LinQiangPAN KeMinZHANG 《数学学报(英文版)》2004,20(2):379-384
In this paper we prove that if T is a regular n-partite tournament with n≥4, then each arc of T lies on a cycle whose vertices are from exactly κ partite sets for κ=4,5,…,n. Our result, in a sense, generalizes a theorem due to Alspach. 相似文献
9.
Frame Wavelets with Compact Supports for L^2(R^n) 总被引:1,自引:0,他引:1
De Yun YANG King Wei ZHOU Zhu Zhi YUAN 《数学学报(英文版)》2007,23(2):349-356
The construction of frame wavelets with compact supports is a meaningful problem in wavelet analysis. In particular, it is a hard work to construct the frame wavelets with explicit analytic forms. For a given n × n real expansive matrix A, the frame-sets with respect to A are a family of sets in R^n. Based on the frame-sets, a class of high-dimensional frame wavelets with analytic forms are constructed, which can be non-bandlimited, or even compactly supported. As an application, the construction is illustrated by several examples, in which some new frame wavelets with compact supports are constructed. Moreover, since the main result of this paper is about general dilation matrices, in the examples we present a family of frame wavelets associated with some non-integer dilation matrices that is meaningful in computational geometry. 相似文献
10.
Let ƒ be a transcendental meromorphic function, a a nonzero finite complex number, and n ⩾ 2 a positive integer. Then ƒ + a(ƒ′)
n
assumes every complex value infinitely often. This answers a question of Ye for n = 2. A related normality criterion is also given.
This work was supported by the National Natural Science Foundation of China (Grant No. 10771076), the Natural Science Foundation
of Guangdong Province, China (Grant No. 07006700) and by the German-Israeli Foundation for Scientific Research and Development
(Grant No. G-809-234.6/2003) 相似文献