When the input data satisfies the M independent condition, we first obtain a sufficient condition to ensure the exponential stability of the well known least mean squares algorithm. Then, we give an exact stability range of the step size and prove that in this range the estimation error is bounded.
Abstract：All kinds of n－terminal linear active networks A can be represented equiva-lently by means of a linear model composed of a m－port （where m＝n－1） passive networkswith m independent sources，The connection between model and multipole load is certain toagree with Brune Tests.
N-terminal linear active network A can be represented equivalently by means of a linear model Aeq composed of a m-port (where m = n-1) passive network P and m independent sources. The model provides the same current and voltage as those in the original network for varied linear and nonlinear load connected to n-terminal In fact, it is a mixed version of generalized Norton and Thevenin Theorems.
The method is carried out as follows: takes m independent variables for selection and computes contribution of the variables (partial regression square sum) and variance ratio F one by one, and compares the results with given grade check critical value F\-α, ifF≥F\-α,introduce the independent variable, if F
We explicitly derive the corresponding tensors for a flat de Sitter space of dimension p+q=m,m≤ 4, which permits us to calculate complete sets of symmetry operators of arbitrary order n for a scalar wave equation with m independent parameters.
Data were eliminated from the original 10 m grid sample of weeds for each field to develop 40 m, 60 m, and 80 m independent data sets.
of m×m independent random matrices such that for each k there exists a joint density function Pk(X) of the elements ξijk, we prove the following theorem: if
A family of m independent identically distributed random variables indexed by a chemical potential φ∈[0,γ] represents piles of particles.
The algorithm can accommodate the spatial motion of generalmulti-rigid-body systems containing arbitrarily many closed loops inO(n + m)operations overall for systems containing n generalizedcoordinates, and m independent algebraic constraints.
in this paper,the enumeration problem of bipartite S.C.graphs is Solved by applying De Bruijn's power Group Enumeration Theorem and the enumeration result of bipartite graphs.It is obtained that the number of all bipartite S.C.gra- phs of m independent point set and n independent points is a_(mn)~c=Z(S_m×S_n;0,2,0,2,……)when m≠n; a_(mn)~c=Z([S_n]~(s2);0,2,0,2,……)when m=n. Finally,the authors gives the practical formulas of enumerate bipartite S.C. graphs.
本文应用 De Bruijn 的幂群计数定理和偶图计数结果,解决了偶自补图的计数问题,获得了 m 个顶点独立集与 n 个顶点独立集的所有偶自补图的数目:当 m≠n 时是a_(mn)~C=Z(S_m×S_n;0,2、0,2,…),当 m=n 时是a_(mn)~C=Z([S_n]~S_2;0,2,0,2,…).文中并给出了计数偶自补图数目的实用公式.
In this paper, it is shown that if G is a m-regular graphwilh 2m+1 vertices which contains m independent sets, then there exist at least m(m-1)/2 Hamil tonian paths.