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  2. Distance from a point to a line - Wikipedia

    en.wikipedia.org/wiki/Distance_from_a_point_to_a...

    The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.

  3. Distance (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Distance_(graph_theory)

    A metric space defined over a set of points in terms of distances in a graph defined over the set is called a graph metric. The vertex set (of an undirected graph) and the distance function form a metric space, if and only if the graph is connected. The eccentricity ϵ(v) of a vertex v is the greatest distance between v and any other vertex; in ...

  4. Euclidean distance - Wikipedia

    en.wikipedia.org/wiki/Euclidean_distance

    That is (unlike road distance with one-way streets) the distance between two points does not depend on which of the two points is the start and which is the destination. [11] It is positive, meaning that the distance between every two distinct points is a positive number, while the distance from any point to itself is zero. [11]

  5. Distance oracle - Wikipedia

    en.wikipedia.org/wiki/Distance_oracle

    The approximate distance returned is of stretch at most , that is, the quotient obtained by dividing the estimated distance by the actual distance lies between 1 and . The initialization time is O ( k m n 1 / k ) {\displaystyle O(kmn^{1/k})} .

  6. Distance matrix - Wikipedia

    en.wikipedia.org/wiki/Distance_matrix

    The geometric-distance matrix is a different type of distance matrix that is based on the graph-theoretical distance matrix of a molecule to represent and graph the 3-D molecule structure. [8] The geometric-distance matrix of a molecular structure G is a real symmetric n x n matrix defined in the same way as a 2-D matrix.

  7. Distance measure - Wikipedia

    en.wikipedia.org/wiki/Distance_measure

    'Distance measures in cosmology' explains in detail how to calculate the different distance measures as a function of world model and redshift. iCosmos: Cosmology Calculator (With Graph Generation ) calculates the different distance measures as a function of cosmological model and redshift, and generates plots for the model from redshift 0 to 20.

  8. Distance - Wikipedia

    en.wikipedia.org/wiki/Distance

    A metric or distance function is a function d which takes pairs of points or objects to real numbers and satisfies the following rules: The distance between an object and itself is always zero. The distance between distinct objects is always positive. Distance is symmetric: the distance from x to y is always the same as the distance from y to x.

  9. Unit distance graph - Wikipedia

    en.wikipedia.org/wiki/Unit_distance_graph

    A unit distance graph with 16 vertices and 40 edges. In mathematics, particularly geometric graph theory, a unit distance graph is a graph formed from a collection of points in the Euclidean plane by connecting two points whenever the distance between them is exactly one.

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