Any group of people with common interests.

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.

• The Order of Propitious Clouds is a civilian order that can be awarded to Taiwan citizens or foreign nationals. It is divided into a total of nine "classes" or grades, of which the Special Grand Cordon is the highest. Pelosi said she was particularly honored to receive the award from Tsai -- "a woman president in one of the freest societies in the world."

biologynatural-sciencestaxonomyA category in the classification of organisms, ranking below class and above family; a taxon at that rank.

• The magnolia and nutmeg families belong to the order Magnoliales.
• Bats host many high-profile viruses that can infect humans, including severe acute respiratory syndrome and Ebola. A recent study explored the ecological variables that may contribute to bats’ propensity to harbor such zoonotic diseases by comparing them with another order of common reservoir hosts: rodents.

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.

• the higher or lower orders of society
• talent of a high order

ChristianityAn ecclesiastical rank or position, usually for the sake of ministry, (especially, when plural) holy orders.

• There have been many major and minor orders in the history of Christianity: the order of virgins, of deacons, priests, lectors, acolytes, porters, catechists, widows, etc.
• to take orders or holy orders means to be ordained a deacon or priest

architectureThe disposition of a column and its component parts, and of the entablature resting upon it, in classical architecture; hence (since the column and entablature are the characteristic features of classical architecture) a style or manner of architectural design.

ball-gamescricketgamesThe sequence in which a side’s batsmen bat; the batting order.

engineeringhuman-scienceslogicScale: size or scope.

• on another order

businesselectrical-engineeringelectricityA power of polynomial function in an electronic circuit’s block, such as a filter, an amplifier, etc.

• a 3-stage cascade of a 2nd-order bandpass Butterworth filter

chemistrynatural-sciencesphysical-sciencesThe overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products.

mathematicssciencesset-theoryThe number of elements contained within (the given object); formally, the cardinality (of the given object).

• 1911 [Cambridge University Press], William Burnside, Theory of Groups of Finite Order, 2nd Edition, Reprint, Dover (Dover Phoenix), 2004, page 222, In this case, the conjugate set contains n(n − 1)/x(x − 1) distinct sub-groups of order m, and H is therefore self-conjugate in a group K of order x(x − l)m.
• For various reasons it turns out to be better to enlarge this set of invariants to include suitable normalizers of subgroups of odd prime order.

group-theorymathematicssciencesThe smallest positive natural number n such that (denoting the group operation multiplicatively) gⁿ is the identity element of G, if such an n exists; if no such n exists the element is said to be of infinite order (or sometimes zero order).

• The object of this note is to observe that it is possible to calculate the order of an element A of G#61;#92;mathit#123;GL#125;(d,q) on average using O(d³#92;mathsf#123;log#125;#92;q) field operations, assuming that qⁱ-1 has been factorised for i#92;led.
• 1999, A. Ehrenfeucht, T. Harju, G. Rozenberg, The Theory of 2-structures, World Scientific, page 15, If Δ is a finite group, its cardinality is called the order of Δ. The order of an element a∈Δ is defined as the smallest nonnegative integer n such that aⁿ=1_Δ. The second case of the following result is known as Cauchy's theorem. Theorem 1.10 Let Δ be a finite group. (i) The order of an element a∈Δ divides the order |Δ| of the group. (ii) If a prime number p divides |Δ|, then there exists an element a∈Δ of order p.

graph-theorymathematicssciencesThe number of vertices in the graph (i.e. the set-theoretic order of the set of vertices of the graph).

mathematicsorder-theorysciencesA partially ordered set.

mathematicsorder-theorysciencesThe relation with which a partially ordered set is equipped.

algebramathematicssciencesThe sum of the exponents of the variables involved in the expression.

• The monomial x²ʸ³ᶻ is of order 2#43;3#43;1#61;6.

algebramathematicssciencesThe order of the leading monomial; (equivalently) the largest power of the variable involved in the given expression.

• The quadratic polynomial ax²#43;bx#43;c, is said to be of order (or degree) 2 when a is nonzero.

businessfinanceA written direction to furnish someone with money or property; compare money order, postal order.

• I then walked to Cochrane's & got an order on Sir Charles Asgill for my money.