dictionary · eo1.org

graph

Fetched 2026-10-26 (cache).

Synonyms: grape, raph, grapy, -graph, grapo, grap, graps, grapa, grah, grapp

Antonyms: grape, raph, grapy, -graph, grapo, grap, graps, grapa, grah, grapp

Related words from Datamuse; suggestions, not definitions.

Noun

  1. {{lb|en|applied mathematics|statistics}} A [[data]] [[chart]] (graphical representation of data) intended to illustrate the [[relationship]] between a set (or sets) of numbers ([[quantity|quantities]], [[measurement]]s 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.
  2. {{lb|en|mathematics}} A set of points constituting a graphical representation of a [[real function]]; {{lb|en|formally}} a set of [[tuple]]s <math>(x_1, x_2, \ldots, x_m, y)\in\R^{m+1}</math>, where <math>y=f(x_1, x_2, \ldots, x_m)</math> for a given function <math>f: \R^m\rightarrow\R</math>. See also {{pedia|Graph of a function}} {{C|en|Curves}} {{C|en|Functions}}
  3. {{senseid|en|graph theory}} {{lb|en|graph theory}} A set of ''vertices'' (or ''nodes'') connected together by ''edges''; {{lb|en|formally}} an [[ordered pair]] of sets <math>(V,E)</math>, where the [[element]]s of <math>V</math> are called ''[[vertex|vertices]]'' or ''[[node]]s'' and <math>E</math> is a set of pairs (called ''[[edge]]s'') of elements of <math>V</math>. See also {{pedia|Graph (discrete mathematics)}}
  4. {{lb|en|topology}} A [[topological space]] which represents some graph (ordered pair of sets) and which is constructed by representing the ''vertices'' as ''[[point]]s'' and the ''edges'' as copies of the [[real numbers|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]]''.
  5. {{lb|en|category theory|of a morphism f}} A [[morphism]] <math>\Gamma_f</math> from the [[domain]] of <math>f</math> to the [[categorical product|product]] of the domain and [[codomain]] of <math>f</math>, such that the first projection applied to <math>\Gamma_f</math> equals the [[identity morphism|identity]] of the domain, and the second projection applied to <math>\Gamma_f</math> is equal to <math>f</math>.
  6. {{lb|en|linguistics|typography}} A [[graphical]] unit on the {{l|en|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 {{l|en|instance-level}}) and as distinct by a {{l|en|grapheme}} on the {{l|en|type-level}} by not fundamentally distinguishing {{l|en|meaning}}.

Verb

  1. {{lb|en|transitive}} To draw a graph, to record graphically.
  2. {{lb|en|transitive|mathematics}} To draw a graph of a function.

Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.