英语词汇“generalized coordinate”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

generalized coordinate

Mathematics

noun

Each of a general set of coordinates defining the state of a system, usually chosen so that the number of coordinates equals the number of degrees of freedom of the system; usually in plural.

Generalized coordinates are used especially where the number of degrees of freedom is smaller than the number of standard Cartesian coordinates required to define the state of the system. For example, a body constrained to move on a sphere requires three Cartesian coordinates (for the three dimensions of space) but only two generalized coordinates (longitude and latitude)..

Origin

Mid 19th century; earliest use found in Peter Tait (1831–1901), physicist and mathematician.

单词	generalized coordinate
释义	generalized coordinate Mathematics noun Each of a general set of coordinates defining the state of a system, usually chosen so that the number of coordinates equals the number of degrees of freedom of the system; usually in plural. Generalized coordinates are used especially where the number of degrees of freedom is smaller than the number of standard Cartesian coordinates required to define the state of the system. For example, a body constrained to move on a sphere requires three Cartesian coordinates (for the three dimensions of space) but only two generalized coordinates (longitude and latitude).. Origin Mid 19th century; earliest use found in Peter Tait (1831–1901), physicist and mathematician.
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