共查询到20条相似文献,搜索用时 15 毫秒
1.
E. W. Lambeck 《Designs, Codes and Cryptography》1991,1(3):261-266
Let be a distance regular graph with intersection array b
0, b
1,..., b
d–1; c
1,..., c
d. It is shown that in some cases (c
i–1, a
i–1, b
i–1) = (c
1, a
1, b
1)and (c
2i–1, a
2i–1, b
2i–1) imply k 2b
i + 1. As a corollary all distance regular graphs of diameter d = 3i – 1 with b
i = 1 and k > 2 are determined. 相似文献
2.
For odd primes p and l such that the order of p modulo l is even, we determine explicitly the Jacobsthal sums l(v), ψl(v), and ψ2l(v), and the Jacobsthal–Whiteman sums and , over finite fields Fq such that . These results are obtained only in terms of q and l. We apply these results pertaining to the Jacobsthal sums, to determine, for each integer n1, the exact number of Fqn-rational points on the projective hyperelliptic curves aY2Ze−2=bXe+cZe (abc≠0) (for e=l,2l), and aY2Zl−1=X(bXl+cZl) (abc≠0), defined over such finite fields Fq. As a consequence, we obtain the exact form of the ζ-functions for these three classes of curves defined over Fq, as rational functions in the variable t, for all distinct cases that arise for the coefficients a,b,c. Further, we determine the exact cases for the coefficients a,b,c, for each class of curves, for which the corresponding non-singular models are maximal (or minimal) over Fq. 相似文献
3.
Let Γ be a distance-regular graph with r = l(1, a1, b1), a1 > 0 and c2r+1 = 1. We show the existence of a collinearity graph of a Moore geometry of diameter r + 1 as a subgraph in Γ. In particular, we show that r = 1. 相似文献
4.
G. V. Radzievskii 《Ukrainian Mathematical Journal》1994,46(3):290-303
For the equationL
0
x(t)+L
1x(t)+...+L
n
x
(n)(t)=O, whereL
k,k=0,1,...,n, are operators acting in a Banach space, we establish criteria for an arbitrary solutionx(t) to be zero provided that the following conditions are satisfied:x
(1–1) (a)=0, 1=1, ..., p, andx
(1–1) (b)=0, 1=1,...,q, for - <a< b< (the case of a finite segment) orx
(1–1) (a)=0, 1=1,...,p, under the assumption that a solutionx(t) is summable on the semiaxista with its firstn derivatives.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 3, pp. 279–292, March, 1994.This research was supported by the Ukrainian State Committee on Science and Technology. 相似文献
5.
F. N. Liman 《Mathematical Notes》1976,20(1):563-567
We study arbitrary infinite 2-groups with three involutions and infinite locally finite p-groups (p2), containing p2–1 elements of order p. For odd p the groupG=a, where A is a direct product of two quasicyclic 3-groups ¦b¦=9, b3A, and subgroup A is generated by the elements of the commutator ladder of element b, is a unique infinite non-Abelian locally finite p-group whose equation xP=1 has p2 solutions.Translated from Matematicheskie Zametki, Vol. 20, No. 1, pp. 11–18, July, 1976. 相似文献
6.
G. R. Wood 《Journal of Optimization Theory and Applications》1988,58(2):331-350
A two-dimensional analogue of the well-known bisection method for root finding is presented in order to solve the following problem, related to the dispersion function of a set of random variables: given distribution functionsF
1,...,F
n and a probabilityp, find an interval [a,b] of minimum width such thatF
i(b)–F
i(a
–)p, fori=1,...,n.The author wishes to thank Dr. I. D. Coope, for helpful advice offered during the preparation of this paper, and the referee, whose comments contributed to a clearer presentation. 相似文献
7.
A.L. Lukashov 《Journal of Approximation Theory》1998,95(3):333-352
Chebyshev–Markov rational functions are the solutions of the following extremal problem
withKbeing a compact subset of
andωn(x) being a fixed real polynomial of degree less thann, positive onK. A parametric representation of Chebyshev–Markov rational functions is found forK=[b1, b2]…[b2p−1, b2p], −∞<b1b2<…<b2p−1b2p<+∞ in terms of Schottky–Burnside automorphic functions. 相似文献
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8.
J. Korevaar 《Indagationes Mathematicae》1999,10(4):539
The convolution a * b of the sequences a = a0, a1, a2, and b is the sequence with elements ∑0n akbn − k. One sets 1, 1, 1, equal to σ. Given that a * a with a ≥ 0 is close to σ * σ, how close is a to σ? More generally, one asks how close a is to σ if the p-th convolution power, a*P with a ≥ 0, is close to σ*P. Power series and complex analysis form a natural tool to estimate the ‘summed deviation’ ρ = σ * (a — σ) in terms of b = a * a — σ * σ or b = a*P − σ*P. Optimal estimates are found under the condition ∑k=0n bk2 = %plane1D;512;(n2β + 1) whenever −½ < β < p − 1. It is not known what the optimal estimates are for the special case bn = %plane1D;512;(nβ). 相似文献
9.
Sanat K. Sarkar 《Annals of the Institute of Statistical Mathematics》1991,43(2):369-375
Based on independent random matices X: p×m and S: p×p distributed, respectively, as N
pm
(, I
m
) and W
p
(n, ) with unknown and np, the problem of obtaining confidence interval for || is considered. Stein's idea of improving the best affine equivariant point estimator of || has been adapted to the interval estimation problem. It is shown that an interval estimator of the form |S|(b
–1, a
–1) can be improved by min{|S|, c|S +XX'|}(b
–1, a
–1) for a certain constant c depending on (a, b). 相似文献
10.
Let H={a
0, a
1, a
2, b
0, b
1, b
2} be the poset defined by a
0<a
2<a
1, b
0<b
2<b
1, a
0<b
1, and b
0<a
1. For an infinite regular cardinal
, we describe the free
-lattice on H. This continues the work of I. Rival and R. Wille who accomplished the same for
=. In subsequent papers, we show how to apply this result to describe the free
-lattice on a poset for a large class of posets, called slender posets. 相似文献
11.
For all integers m3 and all natural numbers a1,a2,…,am−1, let n=R(a1,a2,…,am−1) represent the least integer such that for every 2-coloring of the set {1,2,…,n} there exists a monochromatic solution to
a1x1+a2x2++am−1xm−1=xm.