Background for graphs

graphs

/ɡræfs/ /ɡrɑːfs/

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noun

(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.

Examples :

"The graphs showing student test scores over the past three years illustrate a clear upward trend in performance. "

math statistics science number technical computing

Illustration graphs - Image 1

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noun

A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x1, x2, \ldots, xm, y)\in\R^{m+1}, where y=f(x1, x2, \ldots, xm) for a given function f: \R^m\rightarrow\R.

Examples :

"The graphs of the students' test scores show a clear upward trend over the semester. "

math statistics computing function science number

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noun

(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.

Examples :

"The computer science student learned about graphs, which are used to represent connections between friends on social media. "

math computing structure

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noun

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.

Examples :

"The computer program used graphs to visualize the relationship between different family members' ages. "

math space structure technical

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noun

(of a morphism f) A morphism \Gammaf from the domain of f to the product of the domain and codomain of f, such that the first projection applied to \Gammaf equals the identity of the domain, and the second projection applied to \Gamma_f is equal to f.

Examples :

"In category theory, the graphs of functions are essential for understanding their behavior in terms of mappings between objects. "

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noun

Examples :

"The font designer studied the graphs of various 'a's, focusing on their basic loop and stem shapes, rather than how each one looked in a specific font like Times New Roman or Arial. "

language linguistics writing character technical type sign communication

Illustration graphs - Image 1

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verb

To draw a graph.

Examples :

"The student graphs the data from the science experiment to see the results visually. "

math statistics

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verb

To draw a graph of a function.

Examples :

"The student graphs the data from the science experiment to see the results more clearly. "

math technical science