Legion of Honour is headed by the Grand Chancellor, usually a retired general, and the Secretary General, a civilian administrator. The Grand Chancery also regulates the National Order of Merit and the ' (Military Medal). There are several structures funded by and operated under the authority of the Grand Chancery, like the Legion of Honour Schools (') and the Legion of Honour Museum ('). The Legion of Honour Schools are élite boarding schools in Saint-Denis and Les Loges in the forest of Saint-Germain-en-Laye. Study there is restricted to daughters, granddaughters, and great-granddaughters of members of the order, the ' or the ". There
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