The boundary of a convex set is always a convex curve. The intersection of all convex sets containing a given subset A of Euclidean space is called the convex hull of A. It is the smallest convex set containing A.
Rector (ecclesiastical) A rector is, in an ecclesiastical sense, a cleric who functions as an administrative leader in some Christian denominations, and in Islam. In contrast, a vicar is also a cleric but functions as an assistant and representative of an administrative leader.
Chancellor of the Duchy of Lancaster. The Chancellor of the Duchy of Lancaster is, in modern times, a ministerial office in Her Majesty's Government that includes as part of its duties, the administration of the estates and rents of the Duchy of Lancaster. The Chancellor of the Duchy of Lancaster is appointed by the Sovereign on the advice of the Prime Minister.