- published: 12 Aug 2012
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The Order of Merit (French: Ordre du Mérite) is a dynastic order recognising distinguished service in the armed forces, science, art, literature, or for the promotion of culture. Established in 1902 by King Edward VII, admission into the order remains the personal gift of its Sovereign, the reigning monarch of the Commonwealth realms, and is limited to 24 living recipients at one time from these countries plus a limited number of honorary members. While all members receive the ability to use the post-nominal letters OM and a medallion for life, the Order of Merit's precedence amongst other honours differs amongst Commonwealth realms.
In mathematics, big O notation is used to describe the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions. It is a member of a larger family of notations that is called Landau notation, Bachmann–Landau notation (after Edmund Landau and Paul Bachmann), or asymptotic notation. In computer science, big O notation is used to classify algorithms by how they respond (e.g., in their processing time or working space requirements) to changes in input size.
Big O notation characterizes functions according to their growth rates: different functions with the same growth rate may be represented using the same O notation. A description of a function in terms of big O notation usually only provides an upper bound on the growth rate of the function. Associated with big O notation are several related notations, using the symbols o, Ω, ω, and Θ, to describe other kinds of bounds on asymptotic growth rates.
Big O notation is also used in many other fields to provide similar estimates.