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  2. Distance (graph theory) - Wikipedia

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

    The latter may occur even if the distance in the other direction between the same two vertices is defined. In the mathematical field of graph theory, the distance between two vertices in a graph is the number of edges in a shortest path (also called a graph geodesic) connecting them. This is also known as the geodesic distance or shortest-path ...

  3. 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.

  4. Euclidean distance - Wikipedia

    en.wikipedia.org/wiki/Euclidean_distance

    The distance between any two points on the real line is the absolute value of the numerical difference of their coordinates, their absolute difference.Thus if and are two points on the real line, then the distance between them is given by: [1]

  5. 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.

  6. Arc length - Wikipedia

    en.wikipedia.org/wiki/Arc_length

    Arc length is the distance between two points along a section of a curve. ... The length of the curve is given by the formula = ... The graph of ⁡ (/) As mentioned ...

  7. Archimedean spiral - Wikipedia

    en.wikipedia.org/wiki/Archimedean_spiral

    Archimedean spiral represented on a polar graph. The Archimedean spiral has the property that any ray from the origin intersects successive turnings of the spiral in points with a constant separation distance (equal to 2πb if θ is measured in radians), hence the name "arithmetic spiral".

  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. Resistance distance - Wikipedia

    en.wikipedia.org/wiki/Resistance_distance

    A fan graph is a graph on n + 1 vertices where there is an edge between vertex i and n + 1 for all i = 1, 2, 3, …, n, and there is an edge between vertex i and i + 1 for all i = 1, 2, 3, …, n – 1. The resistance distance between vertex n + 1 and vertex i ∈ {1, 2, 3, …, n} is +