共查询到20条相似文献,搜索用时 0 毫秒
1.
2.
Let µn be the expected order of a random permutation,that is, the arithmetic mean of the orders of the elements inthe symmetric group Sn. We prove that log µn ñc(n/logn) as n , where . 相似文献
3.
In this work we obtain an asymptotic estimate for the expected number of maxima of the random algebraic polynomial
, where a
j (j=0, 1,...,n–1) are independent, normally distributed random variables with mean and variance one. It is shown that for nonzero , the expected number of maxima is asymptotic to
log n, when n is large. 相似文献
4.
D. N. Zaporozhets 《Journal of Mathematical Sciences》2006,133(3):1282-1289
In this note, we generalize the Kac integral formula for the expected number of real zeros of a random polynomial to the case
of systems of equations. Bibliography: 5 titles.
__________
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 311, 2004, pp. 133–146. 相似文献
5.
6.
7.
Alessandro Zinani 《Monatshefte für Mathematik》2003,297(1):341-348
E[V4 (cube)]=[3977/216000] - [(p2)/2160]=0.01384277574?E[V_4 {\rm (cube)}]={3977\over 216000} - {\pi^2 \over 2160}=0.01384277574\ldots 相似文献
8.
Alessandro Zinani 《Monatshefte für Mathematik》2003,139(4):341-348
We calculate E[V
4(C)], the expected volume of a tetrahedron whose vertices are chosen randomly (i.e. independently and uniformly) in the interior of C, a cube of unit volume. We find
The result is in convincing agreement with a simulation of 3000·106 trials.Received February 12, 2002; in revised form August 13, 2002
Published online February 28, 2003 相似文献
9.
Fuzzy Random Variables: A Scalar Expected Value Operator 总被引:19,自引:5,他引:19
Fuzzy random variable has been defined in several ways in literature. This paper presents a new definition of fuzzy random variable, and gives a novel definition of scalar expected value operator for fuzzy random variables. Some properties concerning the measurability of fuzzy random variable are also discussed. In addition, the concept of independent and identically distributed fuzzy random variables is introduced. Finally, a type of law of large numbers is proved. 相似文献
10.
11.
We consider a family of random graphs with a given expected degree sequence. Each edge is chosen independently with probability proportional to the product of the expected degrees of its endpoints. We examine the distribution of the sizes/volumes of the connected components which turns out depending primarily on the average degree d and the second-order average degree d~. Here d~ denotes the weighted average of squares of the expected degrees. For example, we prove that the giant component exists if the expected average degree d is at least 1, and there is no giant component if the expected second-order average degree d~ is at most 1. Examples are given to illustrate that both bounds are best possible. 相似文献
12.
13.
14.
15.
16.
17.
Robert Bryant Herbert Edelsbrunner Patrice Koehl Michael Levitt 《Discrete and Computational Geometry》2004,32(3):293-308
The motion of a biomolecule greatly depends on the engulfing solution,
which is mostly water.
Instead of representing individual water molecules, it is desirable
to develop implicit solvent models that nevertheless accurately
represent the contribution of the solvent interaction to the motion.
In such models, hydrophobicity is expressed as a weighted sum of
atomic surface areas.
The derivatives of these weighted areas contribute to the force
that drives the motion.
In this paper we give formulas for the weighted and unweighted area
derivatives of a molecule modeled as a space-filling diagram made up
of balls in motion.
Other than the radii and the centers of the balls,
the formulas are given in terms of the sizes of circular arcs
of the boundary and edges of the power diagram.
We also give inclusion–exclusion formulas for
these sizes. 相似文献
18.
K. -H. Küfer 《Journal of Complexity》1996,12(4):339-357
Leta1, . . . ,ambe independent random points in
nthat are independent and identically distributed spherically symmetrical in
n. Moreover, letXbe the random polytope generated as the convex hull ofa1, . . . ,amand letLkbe an arbitraryk-dimensional subspace of
nwith 2 ≤k≤n− 1. LetXkbe the orthogonal projection image ofXinLk. We call those vertices ofXwhose projection images inLkare vertices ofXkshadow vertices ofXwith respect to the subspaceLk. We derive a distribution independent sharp upper bound for the expected number of shadow vertices ofXinLk. 相似文献
19.
20.
A relative embedding of a graph in a surface with respect to a set of closed walks is one where each of the prescribed closed walks bounds a face of the embedding In the special case where the set of closed walks is empty, this amounts to the usual concept of a graph embedding. We present a formula for the maximum (orientable) genus of the surface on which a graph has a relative embedding with respect to a set of closed walks. 相似文献