| Is an impedance operator necessary causal, and is this an issue of complexity? | |
| | |
MedLine Citation:
|
PMID: 19063324 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
|
An impedance operator describes the mapping of a velocity field across a part of a boundary surface, to the traction field across the same part. Understood to represent the solution of a "direct" problem, i.e., the velocity field describes the problem forcing and the traction field part of the solution, the impedance operator is necessary causal. On the other hand, understood to represent the general solution of an "inverse" problem, i.e., the velocity field is part of the observed solution with the traction field representing the problem forcing, the operator need not be causal. Continuing, a uniqueness theorem that applies to the direct problem assures that the impedance operator thusly defined is unique. The lack of a corresponding theorem for the inverse problem suggests that the impedance operator thusly defined need not be unique. This further suggests requiring causality selects from multiple impedance operators, representing multiple solutions to the inverse problem, the one that is unique. This raises two questions. Is the causality that makes the operator unique a requirement of the governing physics? What impact does this have on the concept of impedance as a tool for addressing complexity in dynamical systems? |
| | |
Authors:
|
John J McCoy |
Related Documents
:
|
8718404 - Managing rumor and gossip in operating room settings. 11676044 - The role of joseph lister in developing the absorbable ligature. 17518804 - Distracting communications in the operating theatre. 5778724 - The need for administrative know-how in libraries. 10299394 - Supplemental security income for the aged, blind, and disabled; income, resources and e... 2007974 - National aids incidence trends and the extent of zidovudine therapy in selected demogra... |
Publication Detail:
|
Type: Journal Article |
Journal Detail:
|
Title: The Journal of the Acoustical Society of America Volume: 124 ISSN: 1520-8524 ISO Abbreviation: J. Acoust. Soc. Am. Publication Date: 2008 Oct |
Date Detail:
|
Created Date: 2008-12-09 Completed Date: - Revised Date: - |
Medline Journal Info:
|
Nlm Unique ID: 7503051 Medline TA: J Acoust Soc Am Country: United States |
Other Details:
|
Languages: eng Pagination: 2555 Citation Subset: IM |
Affiliation:
|
School of Eng., The Catholic Univ. of America, Washington, DC 20064. |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
|
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Previous Document: Development of temporal characteristics in the speech of hearing impaired preschoolers.
Next Document: Acoustic Kramers-Kronig relations in the ultrasonic frequency band.