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1.
Klaus Metsch 《组合设计杂志》2003,11(5):317-338
Let Q be a non‐degenerate quadric defined by a quadratic form in the finite projective space PG(d,q). Let r be the dimension of the generators of Q. For all k with 2 ≤ k < r we determine the smallest cardinality of a set B of points with the property that every subspace of dimension k that is contained in Q meets B. It turns out that the smallest examples consist of the non‐singular points of quadrics S ∩ Q for suitable subspaces S of codimension k of PG(d,q). For k = 1, the same result was known before. © 2003 Wiley Periodicals, Inc. J Combin Designs 11: 317–338, 2003; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/jcd.10051 相似文献
2.
A new characterization of projections of quadrics in finite projective spaces of even characteristic
We will classify, up to linear representations, all geometries fully embedded in an affine space with the property that for every antiflag {p,L} of the geometry there are either 0, α, or q lines through p intersecting L. An example of such a geometry with α=2 is the following well known geometry . Let Qn+1 be a nonsingular quadric in a finite projective space , n≥3, q even. We project Qn+1 from a point r∉Qn+1, distinct from its nucleus if n+1 is even, on a hyperplane not through r. This yields a partial linear space whose points are the points p of , such that the line 〈p,r〉 is a secant to Qn+1, and whose lines are the lines of which contain q such points. This geometry is fully embedded in an affine subspace of and satisfies the antiflag property mentioned. As a result of our classification theorem we will give a new characterization theorem of this geometry. 相似文献
3.
Using the relationship of a polynomial and its associated polynomial, we derived a necessary and sufficient condition for determining all roots of a given polynomial on the circumference of a circle defined by its associated polynomial. By employing the technology of analytic inequality and the theory of distribution of zeros of meromorphic function, we refine two classical results of Cauchy and Pellet about bounds of modules of polynomial zeros. Sufficient conditions are obtained for the polynomial whose Cauchy's bound and Pellet's bounds are strict bounds. The characteristics is given for the polynomial whose Cauchy's bound or Pellet's bounds can be achieved by the modules of zeros of the polynomial. 相似文献
4.
Serkan Ho?ten 《Journal of Combinatorial Theory, Series A》2007,114(2):311-321
We show that the complexity of the Markov bases of multidimensional tables stabilizes eventually if a single table dimension is allowed to vary. In particular, if this table dimension is greater than a computable bound, the Markov bases consist of elements from Markov bases of smaller tables. We give an explicit formula for this bound in terms of Graver bases. We also compute these Markov and Graver complexities for all K×2×2×2 tables. 相似文献
5.
Witold Majdak Zoltá n Sebestyé n Jan Stochel James E. Thomson 《Proceedings of the American Mathematical Society》2006,134(6):1687-1699
Criteria for the existence of lifts of operators intertwining subnormal operators are established. The main result of the paper reduces lifting questions for general subnormal operators to questions about lifts of cyclic subnormal operators. It is shown that in general the existence of local lifts (i.e. those coming from cyclic parts) for a pair of subnormal operators does not imply the existence of a global lift. However this is the case when minimal normal extensions of subnormal operators in question are star-cyclic.
6.
Mathematical Notes - 相似文献
7.
Jorge Mujica Paula Takatsuka 《Proceedings of the American Mathematical Society》2007,135(4):1141-1144
We show that if is a starlike domain in a Banach space and is a family of holomorphic functions on that omit two distinct values and is bounded at the origin, then is uniformly bounded on each -bounded set.
8.
《Operations Research Letters》2021,49(4):548-552
In this paper, we employ an asymptotic assumption to show that the maximum of finitely many convex polynomials is an asymptotically well behaved function. We also give two examples to illustrate our main result. As an application, we reproduce some known results appeared recently in the literature. 相似文献
9.
Bing Ye Wu 《Annals of Global Analysis and Geometry》2007,31(4):375-384
Let
be a Minkowski 3-space of Randers type with
, where
is the Euclidean metric and
. We consider minimal surfaces in
and prove that if a connected surface M in
is minimal with respect to both the Busemann–Hausdorff volume form and the Holmes–Thompson volume form, then up to a parallel
translation of
, M is either a piece of plane or a piece of helicoid which is generated by lines screwing about the x
3-axis.
相似文献
10.
Mathematical Notes - 相似文献
11.
12.
Michael Arciero 《Journal of Mathematical Analysis and Applications》2007,327(2):908-918
Two recently-proposed methods for estimating the m frequencies of a trigonometric signal using Szegö polynomials of fixed degree k>m consist of multiplying the moments of the n-truncated periodogram by the moments of the Poisson kernel and the wrapped Gaussian, respectively, in an effort to address the non-convergence of the polynomials as n→∞. These methods are seen to be equivalent to convolution of point masses with approximate identities, suggesting a general method. We characterize the limit polynomial for the case when the approximate identity is the Fejér kernel, extending recent results of the author for the case of the Poisson kernel. Moreover, the limit is seen to be the same as in the former case. 相似文献
13.
Vesselin Drensky Jie-Tai Yu 《Proceedings of the American Mathematical Society》2008,136(10):3391-3394
We develop a new method to deal with the Cancellation Conjecture of Zariski in different environments. We prove the conjecture for free associative algebras of rank two. We also produce a new proof of the conjecture for polynomial algebras of rank two over fields of zero characteristic.
14.
Xiaojing Xiang 《Annals of the Institute of Statistical Mathematics》1995,47(2):237-251
A Berry-Esseen bound is established for the kernel quantile estimator under various conditions. The results improve an earlier result of Falk (1985,Ann. Statist.,13, 428–433) and rely on the local smoothness of the quantile function. This new Berry-Esseen bound is applied to studying the deficiency of the sample quantile estimator with respect to the kernel quantile estimator. A new result is obtained which is an extension of that in Falk (1985). 相似文献
15.
蒋忠樟 《数学的实践与认识》2005,35(1):219-221
利用整系数多项式与正有理数的对应 ,将多项式因式分解通过对真分数序列筛选的办法求得因式 ,给出了整系数多项式因式分解的一种新方法 . 相似文献
16.
17.
A theorem concerning a product of two general classes of polynomials and the multivariableH-function
A theorem concerning a product of two general classes of polynomials and the multivariableH-function is established. Certain integrals and expansion formulae have also been derived by the application of this theorem.
This general theorem yields a number of new, interesting and useful theorems, integrals and expansion formulae as its particular
cases. 相似文献
18.
MingZhi Wang 《中国科学 数学(英文版)》2014,57(12):2529-2538
Let V be a smooth projective 3-fold of general type. We show that the canonical volume K3 of V has a lower bound1/10 provided q(V) 0 and K3≥3/40 provided P4(V)≥5. We also give some clean and better form for Noether inequalities for minimal 3-folds of general type. 相似文献
19.
Wolfgang A. Schmid 《Journal of Number Theory》2009,129(5):990-999
Text
By a result of G. Freiman and A. Geroldinger [G. Freiman, A. Geroldinger, An addition theorem and its arithmetical application, J. Number Theory 85 (1) (2000) 59-73] it is known that the set of lengths of factorizations of an algebraic integer (in the ring of integers of an algebraic number field), or more generally of an element of a Krull monoid with finite class group, has a certain structure: it is an almost arithmetical multiprogression for whose difference and bound only finitely many values are possible, and these depend just on the class group. We establish a sort of converse to this result, showing that for each choice of finitely many differences and of a bound there exists some number field such that each almost arithmetical multiprogression with one of these difference and that bound is up to shift the set of lengths of an algebraic integer of that number field. Moreover, we give an explicit sufficient condition on the class group of the number field for this to happen.Video
For a video summary of this paper, please visit http://www.youtube.com/watch?v=c61xM-5D6Do. 相似文献20.
Daniel Neuenschwander 《Journal of Theoretical Probability》1995,8(1):165-174
A limit theorem due to J. Kuelbs and M. Ledoux, valid for dilatation-stable laws on type 2-Banach spaces, is carried over to stable laws on simply connected step 2-nilpotent Lie groupsG. We show that for products of i.i.d. random variables in the of attraction of a nondegenerate semigroup onG, where is a one-parameter automorphism group acting contracting onG, a certain intermediate trimming procedure, together with a suitable norming, always yields a nondegenerate centered Gaussian limit. 相似文献