A new and simple proof of the equivalence theorem for behaviors

Polderman JW.

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A new and simple proof of the equivalence theorem for behaviors

机译：行为等价定理的新的简单证明

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摘要

Two full row rank representations of the same behavior are related through a left unimodular transformation. We present a new and extremely simple and insightful proof for this well-established fact. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 2]

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来源
《Systems and Control Letters》 |2000年第3期|共2页
作者
Polderman JW.;
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原文格式 PDF
正文语种 eng
中图分类自动化技术及设备;
关键词
Behavior; Equivalence; Unimodular matrix;

机译：行为;等价;单模矩阵;

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专利

1. A new and simple proof of the equivalence theorem for behaviors [J] . Polderman JW. Systems and Control Letters . 2000,第3期

机译：行为等价定理的新的简单证明
2. On the equivalence of the HEX game theorem and the Duggan-Schwartz theorem for strategy-proof social choice correspondences [J] . Tanaka Y Applied mathematics and computation . 2007,第1期

机译：HEX博弈定理和Duggan-Schwartz定理在证明战略选择的社会选择对应中的等价性
3. A proof of the equivalence of Helly's and Krasnoselski's theorems [J] . Canadian mathematical bulletin . 1977,第1977期

机译：Helly和Krasnoselski定理等价性的证明
4. A Formal Proof of the Lax Equivalence Theorem for Finite Difference Schemes [C] . Mohit Tekriwal, Karthik Duraisamy, Jean-Baptiste Jeannin NASA Formal Methods Symposium . 2021

机译：有限差分方案的LAX等效定理的正式证明
5. Interactions of equivalence and other behavioral relations: Simple successive discrimination training [D] . Brackney, Ryan 2009

机译：对等与其他行为关系的相互作用：简单的连续歧视训练
6. A Simple Proof of Siegels Theorem [O] . Dorian M. Goldfeld 1974

机译：西格尔定理的简单证明
7. Strategy Proofness and Independence of Irrelevant Alternatives: Existence and Equivalence Theorems for Voting Procedures [O] . Mark Allen Satterthwaite 100

机译：不相关替代方案的战略证明和独立性：投票程序的存在性和等价性定理
8. A Simple Proof of the Angular Momentum Helmholtz Theorem and the Relation of the Theorem to the Decomposition of Solenoidal Vectors into Poloidal and Toroidal Components. [R] . Moses, H. E. 1976

机译：角动量亥姆霍兹定理的简单证明及该定理与电磁矢量分解为极向和环形分量的关系。

A new and simple proof of the equivalence theorem for behaviors

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