In der Arbeit von Schrijver [3] wird die folgende Formulierung von Maders Satz aus [2] bewiesen (siehe Satz 1). Wir werden skizzieren wie man aus diesem Satz die Formulierung von Maders Satz über kreuzungsfreie H-Wege (siehe Korollar 2) herleiten kann. Eine Menge P von Wegen in einem Graphen G = (V,E) ist kreuzungsfrei, wenn die Schnittmenge der Eckenmengen zweier unterschiedlicher Wege aus P e...

The Balanced Network Search (BNS) is an algorithm which finds a maximum balanced flow in a balanced network N. This algorithm is a way of using network flows to solve a number of standard problems, including maximum matchings, the factor problem, maximum capacitated b-matchings, etc., in general graphs. The value of a maximum balanced flow equals the capacity of a minimum balanced edge-cut. Flo...

BACKGROUND The health-related quality of life (HRQoL) of the elderly population of Yi ethnic minority, which is the seventh largest nationality in China, has been rarely reported. This study was designed to explore the HRQoL of the elderly Yi ethnicity and association between their HRQOL and functional abilities. METHODS A total of 291 Yi ethnic residents were randomly recruited from 12 rural...

Define the scaled empirical point process on an independent and identically distributed sequence {Yi : i ≤ n} as the random point measure with masses at a n Yi. For suitable an we obtain the weak limit of these point processes through a novel use of a dimension-free method based on the convergence of compensators of multiparameter martingales. The method extends previous results in several dire...

s of papers 91 yolk (YP), Haugh units (HU), yolk index (YI), shell percent (SP), shell thickness (ST) and egg specific gravity (ESG). The vitamin D influenced the parameters HU, YI, SP, ST, ESG when in thermoneutral temperature, the YI in a cycling heat stress and ST, ESG in constant heat stress. The vitamin C interfered on HU, SP, ST, ESG under thermoneutral temperature and on YI under cycling...

l(i,j) denotes the distance between the point (xi, yi) and the point (xj, yi) in graphical representation. By classifying li,j, i, j = 1, 2,…, N according to the number of points between (xi, yi) and (xj, yi), N - 1 types are obtained. The average and variance of every type are assembled by the novel invariant v = (a1, d1, a2, d2,…, aN, d>N). Compared with the traditional invariants, the leadin...

hFih, x) > hFih, x) (0 è h < h < oo). In the course of this investigation the question arose whether a C2 solution of (1), with F subject to (2), is uniquely determined by the conditions (C) yia) = y'ib) = 0, y(x) > 0 for x E (a, b\. Nehari conjectured that this solution is unique under an additional condition on the behavior of Fit, x) as a function of x. The purpose of this note is to show th...

We consider univariate regression estimation from an individual (non-random) sequence (x1, y1), (x2, y2), . . . ∈ IR×IR, which is stable in the sense that for each interval A ⊆ IR, (i) the limiting relative frequency of A under x1, x2, . . . is governed by an unknown probability distribution μ, and (ii) the limiting average of those yi with xi ∈ A is governed by an unknown regression function m...

The 1-loop evolution of couplings in the minimal supersymmetric standard model, extended to include baryon nonconserving (B/) operators through explicit R-parity violation, is considered keeping only B/ superpotential terms involving the maximum possible number of third generation superfields. If all retained Yukawa couplings Yi are required to remain in the perturbative domain (Yi < 1) upto th...

We demonstrate that the problem of training neural networks with small (average) squared error is computationally intractable. Consider a data set of M points (Xi, Yi), i = 1,2, ... , M, where Xi are input vectors from Rd, Yi are real outputs (Yi E R). For a network 10 in some class F of neural networks, (11M) L~l (fO(Xi)Yi)2)1/2 inlfEF(l/ M) "2:f!1 (f(Xi) YJ2)1/2 is the (avarage) relative erro...