Using model systems to demonstrate instances of mathematical inequalities
作者:
R. J. Tykodi,
期刊:
American Journal of Physics
(AIP Available online 1996)
卷期:
Volume 64,
issue 5
页码: 644-648
ISSN:0002-9505
年代: 1996
DOI:10.1119/1.18259
出版商: American Association of Physics Teachers
关键词: ALGEBRA;RESISTORS;ELECTRIC CONDUCTIVITY;EDUCATIONAL TOOLS;02.
数据来源: AIP
摘要:
By considering certain properties of model systems, one can sometimes demonstrate instances of appropriate mathematical inequalities. For example, by considering the temperature‐equalization process in a set of contiguous metal blocks, one can demonstrate instances of the mathematical inequality that states that the arithmetic average of a set of non‐negative real numbers is never less than the geometric average of those same numbers. For each of six different mathematical inequalities, an appropriate model system is used to demonstrate instances of the inequality.
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