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 product Restricted product In mathematics, the restricted product is a construction in the theory of topological groups. Let formula_1 be an indexing set; formula_2 a finite subset of formula_3. If for each formula_4, formula_5 is a locally compact group, and for each formula_6, formula_7 is an open compact subgroup, then the restricted product is the subset of the product of the formula_5's consisting of all elements formula_10 such that formula_11 for all but finitely many formula_12. This group is given the topology whose basis of open sets are those of the form where formula_14 is open in formula_15 and formula_16 for