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An Order

  1. (countable) Arrangement, disposition, or sequence.
  2. (countable) A position in an arrangement, disposition, or sequence.
  3. (uncountable) The state of being well arranged.
  4. (countable) Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet.
  5. (countable) A command.
  6. (countable) A request for some product or service; a commission to purchase, sell, or supply goods.
  7. (countable) A group of religious adherents, especially monks or nuns, set apart within their religion by adherence to a particular rule or set of principles
  8. (countable) An association of knights
  9. any group of people with common interests.
  10. (countable) A decoration, awarded by a government, a dynastic house, or a religious body to an individual, usually for distinguished service to a nation or to humanity.
  11. (countable, taxonomy) A rank in the classification of organisms, below class and above family; a taxon at that rank.
  12. A number of things or persons arranged in a fixed or suitable place, or relative position; a rank; a row; a grade; especially, a rank or class in society; a distinct character, kind, or sort.
  13. An ecclesiastical grade or rank, as of deacon, priest, or bishop; the office of the Christian ministry; often used in the plural.
  14. (architecture) The disposition of a column and its component parts, and of the entablature resting upon it, in classical architecture; hence (as the column and entablature are the characteristic features of classical architecture) a style or manner of architectural designing.
  15. (cricket) The sequence in which a side’s batsmen bat; the batting order.
  16. (electronics) a power of polynomial function in an electronic circuit’s block, such as a filter, an amplifier, etc.
  17. (chemistry) The overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products.
  18. (set theory) The cardinality, or number of elements in a set, group, or other structure regardable as a set.
  19. (group theory, of an element of a group) For given group G and element g ∈ G, the smallest positive natural number n, if it exists, such that (using multiplicative notation), gn = e, where e is the identity element of G; if no such number exists, the element is said to be of infinite order (or sometimes zero order).
  20. (graph theory) The number of vertices in a graph.
  21. (order theory) A partially ordered set.
  22. (order theory) The relation on a partially ordered set that determines that it is, in fact, a partially ordered set.
  23. (algebra) The sum of the exponents on the variables in a monomial, or the highest such among all monomials in a polynomial.

A quadratic polynomial, {\displaystyle ax{2}+bx+c,}: is said to be of order (or degree) 2.

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