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Extreme Points (extreme + point)

Distribution by Scientific Domains

Engineering	33%

Selected Abstracts

Mathematical Model on Flow Regime and Water Harvesting in Inundation Plains,

JOURNAL OF THE AMERICAN WATER RESOURCES ASSOCIATION, Issue 3 2007
Manasmani Dev Goswami
Abstract:, A mathematical model on flow regime and water harvesting in inundation plains is presented. The flow profile is a free over-fall at the end of the desired inundation. The flow front in the plain is on-line for the entire coverage, in a sense that there is initiation of flow mass after each small reach of the flow traverse, and it is continuing to the extreme point of coverage. The water-harvesting phenomenon depends upon the occurrences of the hydrologic events, the nature of surface flows in the valley, the expected favorable time of flood incidence, and the soil characteristics of the plains. The model has been tested for three micro-watersheds of different soil characteristics. It is best suited to platykurtic nature of flood phenomenon in the study area, with the correlation co-efficient in-between computed and observed amount of water harvesting above 0.90. [source]

Extreme point characterizations for infinite network flow problems

NETWORKS: AN INTERNATIONAL JOURNAL, Issue 4 2006
H. Edwin Romeijn
Abstract We study capacitated network flow problems with demands defined on a countably infinite collection of nodes having finite degree. This class of network flow models includes, for example, all infinite horizon deterministic dynamic programs with finite action sets, because these are equivalent to the problem of finding a shortest path in an infinite directed network. We derive necessary and sufficient conditions for flows to be extreme points of the set of feasible flows. Under an additional regularity condition met by all such problems with integer data, we show that a feasible solution is an extreme point if and only if it contains neither a cycle nor a doubly-infinite path consisting of free arcs (an arc is free if its flow is strictly between its upper and lower bounds). We employ this result to show that the extreme points can be characterized by specifying a basis. Moreover, we establish the integrality of extreme point flows whenever node demands and arc capacities are integer valued. We illustrate our results with an application to an infinite horizon economic lot-sizing problem. © 2006 Wiley Periodicals, Inc. NETWORKS, Vol. 48(4), 209,222 2006 [source]

An Analytic Data Analysis Method for Oscillatory Slug Tests

GROUND WATER, Issue 4 2006
Chia-Shyun Chen
An analytical data analysis method is developed for slug tests in partially penetrating wells in confined or unconfined aquifers of high hydraulic conductivity. As adapted from the van der Kamp method, the determination of the hydraulic conductivity is based on the occurrence times and the displacements of the extreme points measured from the oscillatory data and their theoretical counterparts available in the literature. This method is applied to two sets of slug test response data presented by Butler et al.: one set shows slow damping with seven discernable extremities, and the other shows rapid damping with three extreme points. The estimates of the hydraulic conductivity obtained by the analytic method are in good agreement with those determined by an available curve-matching technique. [source]

Extreme point characterizations for infinite network flow problems

Fixed tree games with multilocated players

NETWORKS: AN INTERNATIONAL JOURNAL, Issue 2 2006
S. Miquel
Abstract This article introduces fixed tree games with multilocated players (FMP games), which are a generalization of standard fixed tree games. This generalization consists of allowing players to be located in more than one vertex. As a consequence, these players can choose among several ways of connection to the root. In this article we show that FMP games are balanced. Moreover, we prove that the core of an FMP game coincides with the core of a related submodular standard fixed tree game. We show how to find the nucleolus and we characterize the orders that provide marginal vectors in the core of an FMP game. Finally, we study the Shapley value and the average of the extreme points of the core. © 2006 Wiley Periodicals, Inc. NETWORKS, Vol. 47(2), 93,101 2006 [source]

Fusion of Descriptive and Normative Propositions.

RATIO JURIS, Issue 3 2000
Descriptive Proposition', Normative Proposition' as Concepts of Degree, The Concepts of
I introduce the concept of ,fused descriptive and normative proposition.' I demonstrate that and how this concept has a basis in reality in lawyers' propositions de lege lata, and I point out that and why we do not find fused modality in language qua language, morals and the relationship between parents and children. The concept of ,fused descriptive and normative proposition' is of interest in a number of contexts, inter alia in relation to law, cf. the debate about the status of lawyers' propositions de lege lata ("exactly what kind of propositions are lawyers' propositions about what is the law?"), and in relation to philosophy, cf. the debate about the relationship between ,the is, and ,the ought.' As a consequence of the reality basis and interest of this concept, I see the concepts of ,descriptive proposition' and ,normative proposition' as the extreme points on a graduated dimension, from the purely descriptive to the purely normative. [source]