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主な意味 | 図表、図式、図、グラフ |
音節 | graph | 発音記号・読み方 |
graphの |
graphの |
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graphの | レベル:4英検:2級以上の単語学校レベル:高校3年以上の水準TOEIC® L&Rスコア:470点以上の単語大学入試:難関大対策レベル |
研究社 新英和中辞典での「graph」の意味 |
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graph
音節graph 発音記号・読み方/grˈæf|grάːf, grˈæf/発音を聞く
名詞可算名詞
動詞 他動詞
‐graph
音節‐graph 発音記号・読み方/![[N16-A12C]](https://weblio.hs.llnwd.net/e7/wbr/CHUJITEN/N16-A12C_F-000000_B-FFFFFF.png)
gr`æf|‐grὰːf, ‐gr`æf/
![[N16-A12C]](https://weblio.hs.llnwd.net/e7/wbr/CHUJITEN/N16-A12C_F-000000_B-FFFFFF.png)
![[N16-A12B]](https://weblio.hs.llnwd.net/e7/wbr/CHUJITEN/N16-A12B_F-000000_B-FFFFFF.png)
phonograph. |
photograph. |
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Wiktionary英語版での「graph」の意味 |
graph
名詞
- (applied 数学, statistics) A data chart (graphical representation of data) intended to illustrate the relationship between a set (または sets) of numbers (quantities, measurements または indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers.
- 2012 March 1, Brian Hayes, “Pixels or Perish”, in American Scientist[1], volume 100, number 2, page 106:
- 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.
- (mathematics) A set of points constituting a graphical representation of a real function; (formally) a set of tuples , where for a given function . See also Graph of a function on Wikipedia.
- (graph theory) A set of vertices (または nodes) connected together by edges; (formally) an ordered pair of sets , where the elements of are called vertices or nodes and is a set of pairs (called edges) of elements of . See also Graph (discrete mathematics) on Wikipedia.
- 1973, Edward Minieka (translator), Claude Berge, Graphs and Hypergraphs, Elsevier (North-Holland), [1970, Claude Berge, Graphes et Hypergraphes], page vii,
- 1997, Fan R. K. Chung, Spectral Graph Theory, American Mathematical Society, page 1,
- 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.
- (topology) 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 かつ 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology.
- Synonym: topological graph
- 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 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 of a surface with marked points is an s-graph.
- A morphism of graphs is a continuous epimorphic map of graphs compatible with the stratification; i.e., the restriction of to any open 1-stratum (interior of an edge) of is a local (therefore, global) homeomorphism with appropriate open 1-stratum of .
- (category theory, of a morphism f) A morphism from the domain of to the product of the domain and codomain of , such that the first projection applied to equals the identity of the domain, and the second projection applied to is equal to .
- (linguistics, typography) 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 または handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning.
- 2003, J. Richard Andrews, Introduction to Classical Nahuatl, Revised Edition, University of Oklahoma Press, page 10:
- 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.
使用する際の注意点
- In mathematics, the graphical representation of a function sense is generally of interest only at an elementary level.
- Nevertheless, the term vertex-edge graph is sometimes used in educational texts to distinguish the graph theory sense.
- (points constituting a graphical representation of a function):
- A graph is similar to, but not the same as a (real) function (as defined formally).
- The function is a set of ordered pairs , where is a point in and is a point in .
- A graph of is a set of points (represented as n-tuples) .
- A graph is similar to, but not the same as a (real) function (as defined formally).
- (graph theory):
- A graph may be defined such that the elements of are ordered pairs or unordered pairs.
- If the pairs are unordered, may be called an undirected graph and the elements of are called edges.
- If the pairs are ordered, is called a directed graph or digraph and the elements of may be called arcs; the notation is sometimes used.
- If the two vertices of an edge represent the same point, the edge may be called a loop.
- A graph may be defined such that the elements of are ordered pairs or unordered pairs.
下位語
- acyclic graph
- biased graph
- biconnected graph
- bipartite graph
- complete graph
- connected graph
- dependency graph
- directed graph
- Eulerian graph
- Hamiltonian graph
- line graph
- multigraph
- nonoriented graph
- object graph
- oriented graph
- Petersen graph
- pseudograph
- random graph
- regular graph
- signed graph
- small world graph
- strongly regular graph
- subgraph
- superregular graph
- undirected graph
- unicursal graph
- voltage graph
- weighted graph
派生語
- conceptual graph
- graph centre
- graph eccentricity
- graph eigenvalue
- graph geodesic
- graphic matroid
- graph minor
- graphoid
- graph paper
- graph polynomial
- graph spectrum
- graph thickness
- graph topology
- hypergraph
- topological graph
-graph
語源
From Ancient Greek suffix -γραφω (-graphō), from γράφω (gráphō, “to scratch, to scrape, to graze”), whence also -graphy.
接尾辞
-graph
派生語
関連する語
アナグラム
「graph」を含む例文一覧
該当件数 : 2929件
例文例文>>例文の一覧を見る
graph of a logarithmic scale発音を聞く例文帳に追加
対数目盛りの方眼紙 - EDR日英対訳辞書
a graph on which climatic factors are plotted発音を聞く例文帳に追加
気象状況の図 - EDR日英対訳辞書
a graph that shows water level発音を聞く例文帳に追加
水位を示す図表 - EDR日英対訳辞書
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