Linear discrepancy and weak discrepancy have been studied as a measure of fairness in giving integer ranks to points of a poset. In linear discrepancy, the points are totally ordered, while in weak discrepancy, ties in rank are permitted. In this paper we study the t-discrepancy of a poset, a hybrid between linear and weak discrepancy, in which at most t points can receive the same rank. Intere...

In this paper, we study a generalization of z-ideals in the ring C(X) of continuous real valued functions on a completely regular Hausdorff space X. The notion of a weak ideal and naturally a weak z-ideal and a prime weak ideal are introduced and it turns out that they behave such as z-ideals in C(X).

This paper analyzes both the strong points and weak points of OSPF routing protocol from security perspective. On its strong points, we abstract its features of information least dependency and information hiding, which make it very robust and fault resilient, even when facing certain malicious attacks. On its weak points, we take a pragmatic look at various problems centering round secure rout...

in this paper, weak defining hyperplanes and the anchor points in dea, as an important subset of the set of extreme efficient points of the production possibility set (pps), are used to construct unobserved dmus and in the long run to improve the envelopment of all observed dmus. there has been a surge of articles on improving envelopment in recent years. what has been done first is in constant...

Let N be the set of natural numbers and let a: N -* N be an injection having no periodic points. Let M0 be the set of o-invariant means on lx. When / G lx let da(f) = sup X(/), where the supremum is taken over all X G M„. It is shown that when/ e lx, there is a sequence (\)TM=2 of extreme points of M„ which has no extreme weak* limit points and such that \s(f) = dQ(f) for s = 2, 3, .... As a co...