[{"word":"graphs","phonetics":[],"meanings":[{"partOfSpeech":"noun","definitions":[{"definition":"(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.","synonyms":[],"antonyms":[]},{"definition":"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.","synonyms":[],"antonyms":[]},{"definition":"(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.","synonyms":[],"antonyms":[]},{"definition":"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.","synonyms":["topological graph"],"antonyms":[]},{"definition":"(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.","synonyms":[],"antonyms":[]},{"definition":"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.","synonyms":["glyph"],"antonyms":[]}],"synonyms":["glyph","topological graph"],"antonyms":[]},{"partOfSpeech":"verb","definitions":[{"definition":"To draw a graph.","synonyms":[],"antonyms":[]},{"definition":"To draw a graph of a function.","synonyms":[],"antonyms":[]}],"synonyms":["chart","plot"],"antonyms":[]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/graph","https://en.wiktionary.org/wiki/graphs"]}]