Background for graph

graph

/ɡɹæf/ /ɡɹɑːf/

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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 graph showed how the number of hours studied per week correlated with students' test scores. "

math statistics number science technical

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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 graph of the student's test scores showed a steady improvement throughout the year. "

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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 social graph of my family shows strong connections between my aunts and uncles, who often get together for holidays. "

math computing science technical

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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 social network graph showed how many friends each student had in the class. "

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 :

"The graph of the function that shows how many hours each student studied for the math exam related the number of hours studied to the exam score. "

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noun

Examples :

"The graph of the letter "a" is the same regardless of whether it's printed in a book, written by hand, or typed on a computer. "

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verb

To draw a graph.

Examples :

"To prepare for the science test, I graphed the growth of the bean plant over four weeks. "

math statistics

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verb

To draw a graph of a function.

Examples :

"To understand the trend of her math grades, she graphed the data from her last five tests. "

math statistics computing function