Dimensional analysis in mathematical modeling systems
Subtitle: a simple numerical method
By: Hemant K. Bhargava
Contributors: Naval Postgraduate School (U.S.). Dept. of Administrative Sciences
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1991
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Number of pages: 19
Subjects: Mathematical models; Numerical methods and procedures
Other titles: NPS-AS-91-010.
Description: This paper discusses dimensional manipulation, essentially a problem requiring symbolic      techniques, using a numerical method obeys the laws of dimensional arithmetic. This is      achieved by specifying an encoding of units of measurement as prime numbers, and      manipulating the resulting expressions numerically. The unique factorization theorem is      applied to show that this method makes trivial the problems of dimensional simplification and      verification of dimensional equivalency, which are central issues in dimensional arithmetic.      The solution has immediate application in mathematical modeling system, chiefly in the model      validation and model solution phases.
Notes: Cover title.

"NPS-AS-91-010."

"February 1991."

AD-A236 904.

Includes bibliographical references (p. 16-19).

aq/aq cc:9116 05/09/97