scholarly journals Nonadditive Set Functions on a Finite Set and Linear Inequalities

1997 ◽  
Vol 210 (2) ◽  
pp. 564-584 ◽  
Author(s):  
Kenji Kashiwabara
Keyword(s):  
Linear Inequalities ◽  
Set Functions ◽  
Finite Set

scholarly journals On Constructing Finite, Finitely Subadditive Outer Measures, and Submodularity

2008 ◽  
Vol 2008 ◽  
pp. 1-13
Author(s):  
Charles Traina
Keyword(s):  
Outer Measure ◽  
Set Functions ◽  
Finite Set ◽  
Covering Class ◽  
Set Function

Given a nonempty abstract set , and a covering class , and a finite, finitely subadditive outer measure , we construct an outer measure and investigate conditions for to be submodular. We then consider several other set functions associated with and obtain conditions for equality of these functions on the lattice generated by . Lastly, we describe a construction of a finite, finitely subadditive outer measure given an arbitrary family of subsets, , of and a nonnegative, finite set function defined on .

scholarly journals Interaction transform for bi-set functions over a finite set

2006 ◽  
Vol 176 (16) ◽  
pp. 2279-2303 ◽  
Author(s):  
F LANGE ◽  
M GRABISCH
Keyword(s):  
Set Functions ◽  
Finite Set

scholarly journals SISTEMAS DE VIABILIDADE AGRÍCOLA SUSTENTÁVEIS

Irriga ◽  
2018 ◽  
Vol 21 (2) ◽  
pp. 342
Author(s):  
Italo Guimarães Vale ◽  
Angel Ramon Sanchez Delgado ◽  
Sergio Drumond Ventura
Keyword(s):  
Sustainable Agriculture ◽  
Lower Bounds ◽  
Quadratic Forms ◽  
Rio De Janeiro ◽  
Numerical Results ◽  
Linear Inequalities ◽  
Production Functions ◽  
Net Income ◽  
Non Linear ◽  
Finite Set

SISTEMAS DE VIABILIDADE AGRÍCOLA SUSTENTÁVEIS ITALO GUIMARÃES DO VALE1; ANGEL RAMON SANCHEZ DELGADO2 E SÉRGIO DRUMOND VENTURA3  1 Mestrando do Programa de Pós-Graduação em Modelagem Matemática e Computacional do Departamento de Matemática do Instituto de Ciências Exatas da Universidade Federal Rural do Rio de Janeiro, BR 465, Km 7, Seropédica, RJ, [email protected] Professor Associado do Departamento de Matemática do Instituto de Ciências Exatas da Universidade Federal Rural do Rio de Janeiro, BR 465, Km 7, Seropédica, RJ, 23890-000. [email protected] Professor Adjunto do Departamento de Matemática do Instituto de Ciências Exatas da Universidade Federal Rural do Rio de Janeiro, BR 465, Km 7, Seropédica, RJ, 23890-000. [email protected].  1 RESUMO O seguinte trabalho define um sistema de viabilidade agrícola sustentável (SVAS), através de um conjunto finito de desigualdades lineares e não lineares no espaço dos insumos necessários para o desenvolvimento de culturas agrícolas que tenham produção, receita líquida e recursos limitados inferior e/ou superiormente (sustentabilidade). O problema aqui tratado é determinar se SVAS é não vazio, isto é, se existe um vetor de insumos ou recursos que satisfaz todas as desigualdades no SVAS. Apresentamos uma heurística para resolver o problema e resultados numéricos para SVAS em função da água e nitrogênio, junto a funções de produção em formas quadráticas de algumas culturas conhecidas na literatura. Palavras-chave: Produção, Receita líquida, Insumos, Heurística.  VALE, I.G.; DELGADO, A. R. S. e VENTURA, S.V.VIABILITY SYSTEMS FOR SUSTAINABLE AGRICULTURE  2 ABSTRACT The following work mathematically defines a viability system for sustainable agriculture (VSSA), through a finite set of linear and non-linear inequalities in R^n, representing the space of required inputs for the development of m crops, and where production, net-income and resources (or inputs), have upper and/or  lower bounds (sustainability). The problem addressed here is to determine whether VSSA is not empty, i.e., if there is a vector of inputs or resources satisfying all inequalities in VSSA. We present a heuristic to solve the problem and numerical results for VSSA depending on water and nitrogen, together with production functions in quadratic forms for some cultures, as known in the literature. Keywords: production, net-income, inputs, heuristic 

Non-repetitive sequences

1970 ◽  
Vol 68 (2) ◽  
pp. 267-274 ◽  
Author(s):  
P. A. B. Pleasants
Keyword(s):  
Repetitive Sequences ◽  
Finite Set ◽  
Infinite Sequences

This note is concerned with infinite sequences whose terms are chosen from a finite set of symbols. A segment of such a sequence is a set of one or more consecutive terms, and a repetition is a pair of finite segments that are adjacent and identical. A non-repetitive sequence is one that contains no repetitions.

The inverse problem of recovering the coefficients of a differential equations on a graph

2020 ◽  
Vol 28 (5) ◽  
pp. 727-738
Author(s):  
Victor Sadovnichii ◽  
Yaudat Talgatovich Sultanaev ◽  
Azamat Akhtyamov
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Finite Number ◽  
Characteristic Equation ◽  
Arbitrary Number ◽  
New Class ◽  
Finite Set

AbstractWe consider a new class of inverse problems on the recovery of the coefficients of differential equations from a finite set of eigenvalues of a boundary value problem with unseparated boundary conditions. A finite number of eigenvalues is possible only for problems in which the roots of the characteristic equation are multiple. The article describes solutions to such a problem for equations of the second, third, and fourth orders on a graph with three, four, and five edges. The inverse problem with an arbitrary number of edges is solved similarly.

The implementation of set functions in APL

1998 ◽  
Vol 28 (3) ◽  
pp. 31-32
Author(s):  
Joseph De Kerf
Keyword(s):  
Set Functions

scholarly journals A Novel Simplified Implementation of Finite-Set Model Predictive Control for Power Converters

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Jose J. Silva ◽  
Jose R. Espinoza ◽  
Jaime A. Rohten ◽  
Esteban S. Pulido ◽  
Felipe A. Villarroel ◽  
...  
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Power Converters ◽  
Finite Set
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