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81.
Akira Hiraki 《Journal of Algebraic Combinatorics》2001,14(2):127-131
Let be a distance-regular graph of diameter d, valency k and r := maxi | (c
i,b
i) = (c
1,b
1). Let q be an integer with r + 1 q d – 1.In this paper we prove the following results:
Theorem 1
Suppose for any pair of vertices at distance q there exists a strongly closed subgraph of diameter q containing them. Then for any integer i with 1 i q
and for any pair of vertices at distance i there exists a strongly closed subgraph of diameter i containing them.
Theorem 2
If r 2, then
c
2r+3 1.As a corollary of Theorem 2 we have d k
2(r + 1) if r 2. 相似文献
82.
In this paper k-sets of type (a, b) with respect to hyperplanes are constructed in finite projective spaces using powers of Singer cycles. These are then used to construct further examples of sets of type (a, b) using various disjoint sets. The parameters of the associated strongly regular graphs are also calculated. The construction technique is then related to work of Foulser and Kallaher classifying rank three subgroups of AL(1, p
R). It is shown that the sets of type (a, b) arising from the Foulser and Kallaher construction in the case of projective spaces are isomorphic to some of those constructed in the present paper. 相似文献
83.
Michel Hébert 《Applied Categorical Structures》2001,9(6):595-623
We give concrete versions of the characterizations of locally -presentable (resp. -generated) categories as categories of models of (resp. weakly) -ary limit-theories and of (resp. weakly) -ary essentially algebraic theories. By concrete we mean that starting with a category of -structures, the theories obtained are extensions of the original ones, and the equivalences of categories are concrete isomorphisms. -presentable and -generated objects are also investigated from this viewpoint. 相似文献
84.
We call a sequence (T
n
) of measure preserving transformations strongly mixing if
tends to P(A)P(B) for arbitrary measurable A, B. We investigate whether one can pass to a suitable subsequence
such that
almost surely for all (or "many") integrable f. 相似文献
85.
A nonlinear integral operator T of the form (Tf)(s)=∫G K(t, f (σ(s, t))) dμ(t), for sG, is defined and investigated in the measure space (G, Σ, μ), where f and K are vector-valued functions with values in normed linear spaces E and F, respectively. The results are applied to the case of integro-differential operators in generalized Orlicz–Sobolev spaces. There are studied problems of existence, embeddings, and approximation by means of T. 相似文献
86.
We investigate BIBDs with three intersection numbers,x, y, and z, such that the relation on the block set given byA B iff the cardinality of the intersectionof A and B is not equal to x is an equivalence relation. Withsuch a design, we associate a family of strongly regular graphswith the same parameters. Two constructions producing infinitefamilies of such designs are given. 相似文献
87.
一种新的三维计算全息图的计算方法 总被引:1,自引:0,他引:1
介绍了一种制作真实三维物体计算全息图的新方法。用摄像机记录三维物体在非相干光照明条件下两个正交方向上不同视角的一系列投影像,将这些投影像导入计算机,在MATLAB中对其作快速傅里叶变换。对这一系列二维投影像的傅里叶变换图进行抽样,得到三维物体在透镜后焦平面上的光场分布,进而制成一张计算全息图。结果证明该方法可以实现对真实物体三维全息图的合成,并且在算法实现上更加简单,提高了程序的运行速度,有利于改善全息图再现像的质量。为解决真实物体相干全息记录中光源功率和相干长度对全息记录可行性的限制指出了一个新的方向。 相似文献
88.
89.
The purpose of this paper is to generalize Yalçin's result [Trans. Amer. Math. Soc. 352 , 2689–2700 (2000)] from tori to solvmanifolds. As a result, we prove that if (?p)r acts freely on a solvmanifold M of dimension n, then r ≤ n (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
90.