## appertains

Verb

- third-person singular simple present indicative form of appertain

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- To the ministry
**appertains**the duty of fixing the duties on foreign produce in those colonies which have not been,,by law,, subjected to the same tariff as in France. - The reason he gives is that, as this something "
**appertains**to the essence of the mind," it is " conceived by a certain eternal necessity through the very essence of God." - Be enclosed in a bracket we obtain a partition of the weight w which
**appertains**to the separated partition. - The expression (ab) 4 properly
**appertains**to a quartic; for a quadratic it may also be written (ab) 2 (cd) 2, and would denote the square of the discriminant to a factor pres. - Then of course (AB) = (ab) the fundamental fact which
**appertains**to the theory of the general linear substitution; now here we have additional and equally fundamental facts; for since A i = Xa i +,ia2, A2= - ï¿½ay + X a2, AA =A?-}-A2= (X2 +M 2)(a i+ a z) =aa; A B =AjBi+A2B2= (X2 +, U2)(albi+a2b2) =ab; (XA) = X i A2 - X2 Ai = (Ax i + /-Lx2) (- /-jai + Xa2) - (- / J.x i '+' Axe) (X a i +%Ga^2) = (X2 +, u 2) (x a - = showing that, in the present theory, a a, a b, and (xa) possess the invariant property.

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