graph vs order

graph

noun
  • A topological space which represents some graph (ordered pair of sets) and which is constructed by representing the vertices as points and the edges as copies of the real interval [0,1] (where, for any given edge, 0 and 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology. 

  • A set of vertices (or nodes) connected together by edges; (formally) an ordered pair of sets (V,E), where the elements of V are called vertices or nodes and E is a set of pairs (called edges) of elements of V. See also Graph (discrete mathematics) on Wikipedia.Wikipedia 

  • A graphical unit on the token-level, the abstracted fundamental shape of a character or letter as distinct from its ductus (realization in a particular typeface or handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning. 

  • A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers. 

  • A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x_1,x_2,…,x_m,y)∈ R ᵐ⁺¹, where y=f(x_1,x_2,…,x_m) for a given function f: R ᵐ→ R . See also Graph of a function on Wikipedia.Wikipedia 

  • A morphism 𝛤_f from the domain of f to the product of the domain and codomain of f, such that the first projection applied to 𝛤_f equals the identity of the domain, and the second projection applied to 𝛤_f is equal to f. 

verb
  • To draw a graph of a function. 

  • To draw a graph. 

order

noun
  • The number of vertices in a graph. 

  • The state of being well arranged. 

  • A group of religious adherents, especially monks or nuns, set apart within their religion by adherence to a particular rule or set of principles. 

  • The overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products. 

  • 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. 

  • A position in an arrangement, disposition, or sequence. 

  • A request for some product or service; a commission to purchase, sell, or supply goods. 

  • The 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. 

  • The cardinality, or number of elements in a set, group, or other structure regardable as a set. 

  • The sequence in which a side’s batsmen bat; the batting order. 

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

  • An association of knights. 

  • Arrangement, disposition, or sequence. 

  • 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. 

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

  • Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet. 

  • A command. 

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

  • A power of polynomial function in an electronic circuit’s block, such as a filter, an amplifier, etc. 

  • 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). 

  • A partially ordered set. 

  • The relation on a partially ordered set that determines that it is, in fact, a partially ordered set. 

  • The sum of the exponents on the variables in a monomial, or the highest such among all monomials in a polynomial. 

verb
  • To arrange, set in proper order. 

  • To issue a command to. 

  • To set in some sort of order. 

  • To admit to holy orders; to ordain; to receive into the ranks of the ministry. 

  • To request some product or service; to secure by placing an order. 

How often have the words graph and order occurred in a corpus of books? (source: Google Ngram Viewer )