Dynastic order Dynastic order A dynastic order, monarchical order, or house order, is an order under royal patronage, bestowed by the head of a currently or formerly sovereign royal family as legitimate fons honorum. These are often considered part of the cultural patrimony of the royal family. They are orders of chivalry, and orders of merit just as those distributed by sovereign states, but dynastic orders were often founded or maintained to reward service to a monarch, or the monarch's subsequent dynasty. An example of this difference is seen between the Royal Victorian Order, in which appointments are made as a personal
Restricted partial quotients regular continued fraction is periodic. Clearly any regular periodic continued fraction consists of restricted partial quotients, since none of the partial denominators can be greater than the largest of "a" through "a". Historically, mathematicians studied periodic continued fractions before considering the more general concept of restricted partial quotients. The Cantor set is a set "C" of measure zero from which a complete interval of real numbers can be constructed by simple addition – that is, any real number from the interval can be expressed as the sum of exactly two elements of the set "C". The usual proof of the