appertain (third-person singular simple present appertains, present participle appertaining, simple past and past participle appertained)
1.to belong as a part, right, possession, attribute, etc.; pertain or relate (usually followed by to), privileges that appertain to members of the royal family.
1. (intransitive) usually foll by to. to belong (to) as a part, function, right, etc; relate (to) or be connected (with) Word OriginC14, from Old French apertenir to belong, from Late Latin appertinēre, from Latin ad- + pertinēre to pertainCollins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollinsPublishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012 Cite This Source
late 14c., from Anglo-French apartenir, Old French apartenir (12c.) "be related to; be incumbent upon," from Late Latin appertinere "to pertain to," from ad- "to, completely" (see ad-) + pertinere "to belong to" (see pertain). To belong as parts to the whole, or as members to a family or class. Related, Appertained; appertaining.
There also exist functions, which involve both sets of variables as well as the coefficients of u, possessing a like property; such have been termed mixed concomitants, and they, like contravariants, may appertain as well to a system of forms as to a single form.
Besides the invariants and covariants, hitherto studied, there are others which appertain to particular cases of the general linear substitution.
There is no linear covariant, since it is impossible to form a symbolic product which will contain x once and at the same time appertain to a quadratic. (v.) is the Jacobian; geometrically it denotes the bisectors of the angles between the lines ax, or, as we may say, the common harmonic conjugates of the lines and the lines x x .
The possible causes of this widespread tendency of the mean age of a western community to increase appertain to the subject of the movement of the population, which is dealt with below.
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