Transparent Neutral Element Elimination in MPI Reduction Operations

2010 ◽  
pp. 275-284 ◽  
Author(s):  
Jesper Larsson Träff
Keyword(s):  
Neutral Element ◽  
Element Elimination

IDEMPOTENT UNINORMS ON FINITE ORDINAL SCALES

2009 ◽  
Vol 17 (01) ◽  
pp. 1-14 ◽  
Author(s):  
BERNARD DE BAETS ◽  
JÁNOS FODOR ◽  
DANIEL RUIZ-AGUILERA ◽  
JOAN TORRENS
Keyword(s):  
Ordinal Scale ◽  
Neutral Element ◽  
Ordinal Scales ◽  
One To One

In this paper we characterize all idempotent uninorms defined on a finite ordinal scale. It is proved that any such discrete idempotent uninorm is uniquely determined by a decreasing function from the set of scale elements not greater than the neutral element to the set of scale elements not smaller than the neutral element, and vice versa. Based on this one-to-one correspondence, the total number of discrete idempotent uninorms on a finite ordinal scale of n + 1 elements is equal to 2n.

scholarly journals Generalized entropy in expanded semigroups and in algebras with neutral element

2014 ◽  
Vol 88 (3) ◽  
pp. 702-714 ◽  
Author(s):  
Erkko Lehtonen ◽  
Agata Pilitowska
Keyword(s):  
Neutral Element ◽  
Generalized Entropy

A Numerical Approach for Simulation of Rock Fracturing in Engineering Blasting

2012 ◽  
pp. 203-224
Author(s):  
Mani Ram Saharan ◽  
Hani Mitri
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Modelling ◽  
Knowledge Base ◽  
Plane Stress ◽  
Numerical Approach ◽  
The Other ◽  
Brittle Rock ◽  
Rock Fracturing ◽  
Element Elimination

An approach for simulation of rock fracturing as a result of engineering blasting is presented in this paper. The approach uses element elimination technique within the framework of finite element method to capture the physics of engineering blasting. The approach does not require pre-placement of fracture paths which is the severe drawback of the other existing methodologies and approaches. Results of plane stress modelling for isotropic brittle rock behaviour are presented in this paper and these results are in good agreement with the existing knowledge base. The authors also review the existing approaches of numerical modelling to compare the efficacy of the element elimination technique. It is anticipated that the further developments with this approach can prove to be good experimental tool to improve engineering blasting operations.

Relation between neutral element and annihilator in absorption equation

2013 ◽  
Vol 228 ◽  
pp. 145-151
Author(s):  
Sai Hareesh Anamandra ◽  
Prabhakar Akella
Keyword(s):  
Neutral Element

STABLE AND SEMISTABLE PROBABILITY MEASURES ON CONVEX CONE

2014 ◽  
Vol 98 (3) ◽  
pp. 390-406
Author(s):  
NAM BUI QUANG ◽  
PHUC HO DANG
Keyword(s):  
Probability Measure ◽  
Convex Cone ◽  
Closed Subgroup ◽  
Multiplicative Group ◽  
Domain Of Attraction ◽  
Neutral Element ◽  
Probability Measures ◽  
Semistable Probability

The study concerns semistability and stability of probability measures on a convex cone, showing that the set$S(\boldsymbol{{\it\mu}})$of all positive numbers$t>0$such that a given probability measure$\boldsymbol{{\it\mu}}$is$t$-semistable establishes a closed subgroup of the multiplicative group$R^{+}$; semistability and stability exponents of probability measures are positive numbers if and only if the neutral element of the convex cone coincides with the origin; a probability measure is (semi)stable if and only if its domain of (semi-)attraction is not empty; and the domain of attraction of a given stable probability measure coincides with its domain of semi-attraction.

An Extension of Semiuninorms: Weak-Neutral Semiuninorms

2017 ◽  
Vol 25 (02) ◽  
pp. 301-316
Author(s):  
Hua-Wen Liu ◽  
Feng Qin
Keyword(s):  
Functional Equations ◽  
Neutral Element ◽  
Restricted Domain ◽  
Multiplicative Constant ◽  
Additive Generator

By weakening the neutral element condition of semiuninorms, we introduce a new concept called weak-neutral semiuninorms (shortly, wn-semiuninorms). After analyzing their structure, several classes of wn-semiuninorms are presented and discussed. Particularly, based on a kind of monotone unary functions which are not necessarily continuous and strictly monotone, we introduce representable wn-semiuninorms and discuss some of their properties in detail. We show that there is no idempotent proper wn-semiuninorm. Each representable wn-semiuninorm is Archimidean but not strictly monotone, and its additive generator is unique up to a positive multiplicative constant under some conditions. In the discussion about the representable wn-semiuninorms, we also characterize the solutions to a class of Cauchy functional equations on a restricted domain.

Structure of Uninorms

1997 ◽  
Vol 05 (04) ◽  
pp. 411-427 ◽  
Author(s):  
János C. Fodor ◽  
Ronald R. Yager ◽  
Alexander Rybalov
Keyword(s):  
Representation Theorem ◽  
Unit Interval ◽  
Neutral Element ◽  
General Representation ◽  
Exhaustive Study

An exhaustive study of uninorm operators is established. These operators are generalizations of t-norms and t-conorms allowing the neutral element lying anywhere in the unit interval. It is shown that uninorms can be built up from t-norms and t-conorms by a construction similar to ordinal sums. De Morgan classes of uninorms are also described. Representability of uninorms is characterized and a general representation theorem is proved. Finally, pseudo-continuous uninorms are defined and completely classified.

The Relations between Implications and Left (Right) Semi-Uninorms on a Complete Lattice

2015 ◽  
Vol 23 (02) ◽  
pp. 245-261 ◽  
Author(s):  
Xiaoying Hao ◽  
Meixia Niu ◽  
Zhudeng Wang
Keyword(s):  
Complete Lattice ◽  
Unit Interval ◽  
Neutral Element ◽  
Order Property ◽  
Triangular Norms

Uninorms are important generalizations of triangular norms and conorms, with a neutral element lying anywhere in the unit interval, and left (right) semi-uninorms are non-commutative and non-associative extensions of uninorms. In this paper, we study the relations between implications and left (right) semi-uninorms on a complete lattice. We firstly investigate the left (right) semi-uninorms induced by implications, give some conditions such that the operations induced by implications constitute left or right semi-uninorms, and demonstrate that the operations induced by a right infinitely ∧-distributive implication, which satisfies the order property, are left (right) infinitely ∨-distributive left (right) semi-uninorms. Then, we discuss the residual operations of left (right) semi-uninorms and show that left (right) residual operators of strict left (right)-conjunctive left (right) infinitely ∨-distributive left (right) semi-uninorms are right infinitely ∧-distributive implications that satisfy the order property. Finally, we reveal the relationships between strict left (right)-conjunctive left (right) infinitely ∨-distributive left (right) semi-uninorms and right infinitely ∧-distributive implications which satisfy the order property.

scholarly journals Polski sukces sukcesu w świetle opracowań leksykograficznych i literatury popularnopsychologicznej

2019 ◽  
Author(s):  
Katarzyna Skowronek
Keyword(s):  
Narrative Analysis ◽  
Meaning Of Life ◽  
Neutral Element ◽  
Contemporary Culture ◽  
Self Help ◽  
Culture Of Success ◽  
Polish Language

In her article the author discusses “success” – one of most important words defining the contemporary culture and people. She asks about the meaning of the word and compares its use in self-help books with the definition found in dictionaries of the Polish language. How is the contemporary “culture of success” created by those “new” meaning profiles? The first part of the analysis concerns the semantics of “success” in selected historical and modern dictionaries. K. Skowronek points out that the word has undergone the process of amelioration: from a neutral element to a positive one. The second part of the article is a narrative analysis. The author presents the semantics of the word in contemporary self-help books. She highlights its individualistic and self-disciplining character. Nowadays, success is synonymous with happiness and the meaning of life. It predominantly entails an obsessive chase while not necessarily a real achievement.

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