共查询到20条相似文献,搜索用时 0 毫秒
1.
Nihal Yilmaz 《数学物理学报(B辑英文版)》2005,25(2):215-222
This paper proves a conjecture given in [6], which is concerning with the parabolic class numbers of some Fuchsian groups. 相似文献
2.
陈宗煊 《数学物理学报(B辑英文版)》2014,(3):653-659
In this article, for a transcendental entire function f(z) of finite order which has a finite Borel exceptional value a, we utilize properties of complex difference equations to prove the difference counterpart of Bruck's conjecture, that is, if △f(z) = f(z + η) - f(z) and f(z) share one value a (≠α) CM, where η ∈ C is a constant such that f(z +η) ≠ f(z),then
△f(z)-a/f(z)-a=a/a-α. 相似文献
△f(z)-a/f(z)-a=a/a-α. 相似文献
3.
Chen Xiru 《数学年刊B辑(英文版)》1983,4(2):193-198
In 1979 R. S. Singh(Ann. Statist, 1979, p. 890) made a conjecture concerning the convergence rate of EB estimates of the parameter θ in an one-dimensional continuous exponential distribution family, under the square loss function, the prior distribution family being confined to a bounded interval. The conjecture asserts that the rate cannot reach o(1/n) or even O(1/n). In this article, the weaker part of this conjecture(i. e. the o(1/n) part) is shown to be correct. 相似文献
4.
5.
Greenberger-Horne-Zeilinger(GHZ)theorem asserts that there is a set of mutually commuting nonlocal observables with a common eigenstate on which those ob- servables assume values that refute the attempt to assign values only required to have them by the local realism of Einstein,Podolsky,and Rosen(EPR).It is known that for a three-qubit system.there is only one form of the GHZ-Mermin-like argument with equiva- lence up to a local unitary transformation,which is exactly Mermin's version of the GHZ theorem.This article for a four-qubit system,which was originally studied by GHZ,the authors show that there are nine distinct forms of the GHZ-Mermin-like argument.The proof is obtained using certain geometric invariants to characterize the sets of mutually commuting nonlocal spin observables on the four-qubit system.It is proved that there are at most nine elements(except for a different sign)in a set of mutually commuting nonlocal spin observables in the four-qubit system,and each GHZ-Mermin-like argument involves a set of at least five mutually commuting four-qubit nonlocal spin observables with a GHZ state as a common eigenstate in GHZ's theorem.Therefore,we present a complete construction of the GHZ theorem for the four-qubit system. 相似文献
6.
A neceassary and sufficient condition for the convexity of the Bezier net is presented'The convex Bezier net implies the convexity of the corresponding Bernstein-Bezier surfaceover triangles', a theorem established by Chang Geng-zhe and Philip J. Davis, is reprovedby a new approach. 相似文献
7.
In this paper using an argument from [1],we prove one of the probabilistic version of Hardy’s inequality. 相似文献
8.
R.Vyborny 《数学物理学报(B辑英文版)》1985,(3)
The Perron method of major and minor functions has wide applications in analysis, in the theory of integral, in ordinary and partial differential equations, and in axiomatic potential theory. Peano's theorem states that the initial value problem 相似文献
9.
Chen Xiudong Chen Yong 《Annals of Differential Equations》2006,22(2):144-148
We have proved that Lienard equation with F(x) = -F(-x) has at most n limit cycles. Under the condition, an affirmative answer to A.Lins, W.de Melo and C.C.Pugh's conjecture is given. 相似文献
10.
胡迪鹤 《数学物理学报(B辑英文版)》2003,23(2)
The structure of any a.s. self-similar set K(w) generated by a class of random elements {gn,wσ} taking values in the space of contractive operators is given and the approximation of K(w) by the fixed points {Pn,wσ} of {gn,ow} is obtained. It is useful to generate the fractal in computer. 相似文献
11.
Zhao Lincheng 《数学年刊B辑(英文版)》1983,4(1):95-104
Under appropriate conditions we obtain the best rates of a.s.convergence of estimates5_n~2 of error variance σ~2 and establish the law of iterated logarithm 相似文献
12.
Sheng Weiming 《数学年刊B辑(英文版)》1994,15(1):69-74
ON A CONJECTURE OF K. OGIUE FOR KAEHLER HYPERSURFACES¥SHANGWEIMINGAbstract:AnaffirmativeanswertoaconjectureofK.Ogiueformulate... 相似文献
13.
周兵 《数学物理学报(B辑英文版)》1984,(3)
The following conjecture was posed by Erdoss and Sos in [1]: Conjecture If T is a tree of order k, G is a graph of order n and e(G)≥「(k-2)n/2」+ 1 then TG. In. this note we show that this conjecture is true when k=n. Theorem For any tree T and graph G both of order n, if e(G)≥「(n-2)n/2」+1, then TG. 相似文献
14.
严加安 《数学物理学报(B辑英文版)》1991,(3)
§ 1. Introduction Now we recall some basic notions and results in whitenoise analysis. Let S (R) (reop. S' (R)) denote the Sehwarz space of test functions (rosp. tempered distributions). Let A denoto tho self-adjoint operator-d~2/dt~2+1+t~2 in L~2(R). 相似文献
15.
ONGLOBALASYMPTOTICSTABILITYOFTHEZEROSOLUTIONOFAGENERALIZEDLIENARD′SSYSTEMPENGLEQUNANDHUANGLIHONGAbstract:Inthispaper,westudyt... 相似文献
16.
AGENERALIZATIONOFHIRSCH′STHEOREMS¥RuanJiancheng(阮建成)(JinanUniversity)Abstract:Thestruvtureofω-limitsetsoforbitswithrelatedpoi... 相似文献
17.
《数学物理学报(B辑英文版)》2014,(3)
In this article, for a transcendental entire function f(z) of finite order which has a finite Borel exceptional value α, we utilize properties of complex difference equations to prove the difference counterpart of Br¨uck's conjecture, that is, if △f(z) = f(z + η)- f(z)and f(z) share one value a(≠α) CM, where η∈ C is a constant such that f(z + η) ≡ f(z),then△f(z)- a/f(z)- a=a/a-α. 相似文献
18.
In this paper, the authors prove following result:Let M~n be a complete Bechner-Kaehler submanifold of complex dimension (n≥4) in a complex projective space CP~(n p)(1) of complex dimension n p, endowed with the FubiniStudy metric of constant holomorphic sectional curvature 1. If the sectional curvature K of M~n satisfies K<1, then codimension p of M~n is not less then n(n 1)/2. 相似文献
19.
SocaltheBerlinskitheoremforplanarquadraticSystem(QS)is:TheoremA[1]SupposethataQShas4finitecriticalpoints(CPs),Ifthequadrila... 相似文献
20.
初文昌 《应用数学学报(英文版)》1992,(4)
Flagged skew tableaux are generalizationa of Young tableaux in which each row (column)has an upper and lower bound on the entries. It has been shown that they are enumerated byflagged skew Schur functions. By introducing the dominance technique, we preeent an alternateproof for this conclusion directly. 相似文献