graph
Part of speech: noun
verb
Morphological type: simple
Topics: category-theory
computing
engineering
graph-theory
human-sciences
linguistics
mathematics
media
natural-sciences
physical-sciences
publishing
sciences
statistics
topology
typography
Etymology: Clipping of graphic formula. From 1878; verb from 1889.
Inflected forms:
form: graphs
pos: noun
tags: plural
form: graphs
pos: verb
tags: present
singular
third-person
form: graphing
pos: verb
tags: participle
present
form: graphed
pos: verb
tags: participle
past
form: graphed
pos: verb
tags: past
Senses:
gloss: 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.
pos: noun
examples: Drawings and pictures are more than mere ornaments in scientific discourse. Blackboard sketches, geological maps, diagrams of molecular structure, astronomical photographs, MRI images, the many varieties of statistical charts and graphs: These pictorial devices are indispensable tools for presenting evidence, for explaining a theory, for telling a story.
gloss: 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
pos: noun
examples: 1969 [MIT Press], Thomas Walsh, Randell Magee (translators), I. M. Gelfand, E. G. Glagoleva, E. E. Shnol, Functions and Graphs, 2002, Dover, page 19,
Let us take any point of the first graph, for example, x=1/2,y=4/5, that is, the point M_1(1/2,4/5).
gloss: 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
pos: noun
examples: 1973, Edward Minieka (translator), Claude Berge, Graphs and Hypergraphs, Elsevier (North-Holland), [1970, Claude Berge, Graphes et Hypergraphes], page vii,
Problems involving graphs first appeared in the mathematical folklore as puzzles (e.g. Königsberg bridge problem). Later, graphs appeared in electrical engineering (Kirchhof's Law), chemistry, psychology and economics before becoming a unified field of study.
Spectral graph theory has a long history. In the early days, matrix theory and linear algebra were used to analyze adjacency matrices of graphs. Algebraic methods are especially effective in treating graphs which are regular and symmetric.
gloss: 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.
pos: noun
examples: 2008, Unnamed translators (AMS), A. V. Alexeevski, S. M. Natanzon, Hurwitz Numbers for Regular Coverings of Surfaces by Seamed Surfaces and Cardy-Frobenius Algebras of Finite Groups, V. M. Buchstaber, I. M. Krichever (editors), Geometry, Topology, and Mathematical Physics: S.P. Novikov's Seminar, 2006-2007, American Mathematical Society, page 6,
First, let us define its 1-dimensional analog, that is, a topological graph. A graph Δ is a 1-dimensional stratified topological space with finitely many 0-strata (vertices) and finitely many 1-strata (edges). […] A graph such that any vertex belongs to at least two half-edges we call an s-graph. Clearly the boundary ∂Ω of a surface Ω with marked points is an s-graph.
A morphism of graphs φ:Δ'→Δ is a continuous epimorphic map of graphs compatible with the stratification; i.e., the restriction of φ to any open 1-stratum (interior of an edge) of Δ' is a local (therefore, global) homeomorphism with appropriate open 1-stratum of Δ.
gloss: 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.
pos: noun
gloss: 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.
pos: noun
examples: A graph is a token-level nondistinctive representation of a grapheme. It can differ from the other variants of its grapheme with regard to upper case, lower case, script, print, typeface style, typeface size, etc.
gloss: To draw a graph, to record graphically.
pos: verb
tags: transitive
examples: When the doctor took the picture that was to be graphed onto Johnny’s balloon head, he suggested that Johnny make a normal face, without expressing any emotion. But Johnny didn’t like that idea. He’d rather look eternally cheerful than express nothing but apathy for the rest of his life.
gloss: To draw a graph of a function.
pos: verb
tags: transitive
Synonyms: graph
chart
plot
Related words: grapheme
graphic
graphical
graphism
Appendix:Glossary of graph theory
Graph on Wolfram MathWorld
Derived words: algebraic graph theory
bigraph
block graph
braingraph
brain graph
bullet graph
call graph
Cayley graph
cherry graph
cocktail party graph
cograph
complete bipartite graph
conceptual graph
Coxeter graph
crown graph
cubic graph
de Bruijn graph
Desargues graph
directed acyclic graph
directed acyclic word graph
dual graph
elastograph
empty graph
ergograph
factor graph
fatgraph
flowgraph
fluviograph
gastrograph
graphable
graph antihole
graph centre
graph directrix
graph eccentricity
graph eigenvalue
graph geodesic
graph hole
graph homomorphism
graphic matroid
graphiology
graphlet
graphlike
graph minor
graphoid
graphon
graphophone
graph paper
graph polynomial
graph spectrum
graph state
graph-theoretic
graph-theoretical
graph-theoretically
graph theorist
graph thickness
graph topology
graph toughness
graphwork
Herschel graph
hypergraph
hypograph
integraph
karyograph
knowledge graph
Laves graph
Levi graph
logograph
medial graph
metagraph
Moore graph
phenograph
planar graph
plane graph
protograph
rectagraph
regraph
scenegraph
social graph
sonograph
spider graph
spirograph
stream graph
streamgraph
supergraph
Tanner graph
telegraph
termgraph
topological graph
Turán graph
ultragraph
utility graph
viewgraph
Translations:
lang: Bulgarian
word: скицирам графика
roman: skiciram grafika
lang: Galician
word: debuxar un gráfico de
lang: Irish
word: graf
lang: Italian
word: graficare
lang: Russian
word: рисовать график
roman: risovatʹ grafik
lang: Russian
word: чертить график
roman: čertitʹ grafik
lang: Spanish
word: graficar
lang: Swedish
word: plotta
lang: Swedish
word: rita diagram