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graph Meaning & Definition

/ɡɹæf/

What Does Graph Mean?

As a noun, graph means 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. It is also used to mean A set of points constituting a graphical representation of a real function; a set of tuples (x1,x2,…,xm,y)∈ℝm+1, where y=f(x1,x2,…,xm) for a given function f:ℝm→ℝ. See also Graph of a function on Wikipedia.Wikipedia. As a verb, it means To draw a graph, to record graphically. As a verb, it means To draw a graph.

Word Facts for Graph

Part of speechnoun, verb
Pronunciation//ɡɹæf//
Syllables1
Synonymsgraphical record, chart and plot
Pluralgraphs
Verb formsgraphs, graphing, graphed

Graph Definition (Noun)

  1. 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.
  2. A set of points constituting a graphical representation of a real function; a set of tuples (x1,x2,…,xm,y)∈ℝm+1, where y=f(x1,x2,…,xm) for a given function f:ℝm→ℝ. See also Graph of a function on Wikipedia.Wikipedia
  3. A set of vertices (or nodes) connected together by edges; 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
  4. 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.
  5. A morphism Γf from the domain of f to the product of the domain and codomain of f, such that the first projection applied to Γf equals the identity of the domain, and the second projection applied to Γf is equal to f.
  6. 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.

Graph as a Verb

  1. To draw a graph, to record graphically.
  2. To draw a graph of a function.

Noun

  1. (applied mathematics) 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.
  2. A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x_1, x_2, \ldots, x_m, y)\in\R^{m+1}, where y=f(x_1, x_2, \ldots, x_m) for a given function f: \R^m\rightarrow\R.
  3. (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; (less formally) a set of vertices (or nodes) together with a set of edges that connect (some of) the vertices.
  4. (of a morphism f) A morphism \Gamma_f from the domain of f to the product of the domain and codomain of f, such that the first projection applied to \Gamma_f equals the identity of the domain, and the second projection applied to \Gamma_f is equal to f.

Verb

  1. To draw a graph.

Synonyms of Graph

Graph synonyms and antonyms →

Antonyms of Graph

No antonyms or near antonyms are listed by the available sources for this entry.

Graph in a Sentence

No example sentences are available for this entry.

Word Forms & Grammar

graph (plural graphs)

graph (third-person singular simple present graphs, present participle graphing, simple past and past participle graphed)

Words That Rhyme With Graph

Origin of Graph

Clipping of graphic formula. From 1878; verb from 1889.[1]

Pronouncing Graph

The standard pronunciation of graph is //ɡɹæf//, spoken in 1 syllable.

Quick Answers About Graph

Is graph a noun or a verb?

Graph is mainly used as a noun, but it can also be used as a verb.

What is another word for graph?

Words with a similar meaning to graph include graphical record, chart and plot. See the full list of graph synonyms and antonyms.

What is the plural of graph?

The plural of graph is graphs.

What is the past tense of graph?

The past tense of graph is graphed. The present participle is graphing.

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