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 isometry property with restricted isometry constant formula_3. This is equivalent to where formula_5 is the identity matrix and formula_6 is the operator norm. See for example for a proof. Finally this is equivalent to stating that all eigenvalues of formula_7 are in the interval formula_8. The RIP Constant is defined as the infimum of all possible formula_9 for a given formula_10. It is denoted as formula_12. For any matrix that satisfies the RIP property with a RIC of formula_12, the following condition holds: Restricted isometry property In linear algebra, the restricted isometry property (RIP) characterizes matrices which are nearly orthonormal, at least