Home > Order

• Legal and military meanings
  • Court order
  • Executive order
  • General order
  • Standing order
• Scientific meanings
  • Order (biology)
  • In computing, canonical order
  • In information processing, order is a measure of the number of objects or sub-systems in a system as seen by an observer.
• Mathematical meanings
  • Order of an ordered set; see also order theoryOrder theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of a mathematical ordering. This article gives a detailed introduction to the field and includes some of the most basic definitions., total orderIn mathematics, a total order or linear order on a set X is a binary relation that is reflexive, antisymmetric, transitive, and total . This means that, if we denote the relation by ≤, the following statements hold for all a b and c in X : a ≤ a (re, total preorderIn the mathematical area of order theory, a total preorder over a set X is a preorder ≤ over X that is total that is, for all a and b in X it holds that a ≤ b or b ≤ a''. The difference between a total preorder and a total order is that a total p and partial order
  • Order of a groupIn mathematics, a group is a set, together with a binary operation satisfying certain axioms, detailed below. The branch of mathematics which studies groups is called group theory. The historical origin of group theory goes back to the works of Evariste G or its elements. See order (group theory)In group theory, the term order is used in two closely related senses: the order of a group is its cardinality, i. the number of its elements; the order of an element a of a group is the smallest positive integer m such that a m e (where e denotes the ide.
    • Order of an element in some modulus, see multiplicative orderModular arithmetic In number theory, given an integer a and a positive integer n with gcd a ''n 1, the multiplicative order of a modulo n is the smallest positive integer k with : a k ≡ 1 ( modulo n . The order of a modulo n is usually written ord a
  • Order of a differential equationIn mathematics, a differential equation is an equation that describes a prescribed relationship between a set of unknowns which are to be regarded as an unknown function and its (ordinary or partial) derivatives. In practice the "unknown function" is usua
  • Big O notation (mathematical), aka the order of an algorithm
  • Orders of magnitude are factors of ten
• Miscellaneous meanings
  • Order (philosophy)
  • Order (business)
  • Order (religious)
  • Holy Orders
  • Order (military)
  • Architectonic orders: see classical orders
  • Ordered sets of pitches or pitch classes such as a tone row, see the mathematical meaning above.
  • Order (decoration)
• "The Order"
  • The Order (AKA Bruders Schweigen or Silent Brotherhood) was an American revolutionary National Socialist group.
  • The Order is a 2003 film.