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  2. 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 p {\displaystyle p} and q {\displaystyle q} are two points on the real line, then the distance between them is given by: [ 1 ]

  3. Absolute difference - Wikipedia

    en.wikipedia.org/wiki/Absolute_difference

    It describes the distance on the real line between the points corresponding to and . It is a special case of the L p distance for all 1 ≤ p ≤ ∞ {\displaystyle 1\leq p\leq \infty } and is the standard metric used for both the set of rational numbers Q {\displaystyle \mathbb {Q} } and their completion, the set of real numbers R ...

  4. Norm (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Norm_(mathematics)

    A composition algebra (,,) consists of an algebra over a field, an involution, and a quadratic form = called the "norm". The characteristic feature of composition algebras is the homomorphism property of N {\displaystyle N} : for the product w z {\displaystyle wz} of two elements w {\displaystyle w} and z {\displaystyle z} of the composition ...

  5. Distance from a point to a line - Wikipedia

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

    The denominator of this expression is the distance between P 1 and P 2. The numerator is twice the area of the triangle with its vertices at the three points, (x 0,y 0), P 1 and P 2. See: Area of a triangle § Using coordinates.

  6. Difference quotient - Wikipedia

    en.wikipedia.org/wiki/Difference_quotient

    Its "input value" is its argument, usually a point ("P") expressible on a graph. The difference between two points, themselves, is known as their Delta (ΔP), as is the difference in their function result, the particular notation being determined by the direction of formation: Forward difference: ΔF(P) = F(P + ΔP) − F(P); Central difference ...

  7. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    This is not always the case: the trivial equation x = x specifies the entire plane, and the equation x 2 + y 2 = 0 specifies only the single point (0, 0). In three dimensions, a single equation usually gives a surface , and a curve must be specified as the intersection of two surfaces (see below), or as a system of parametric equations . [ 18 ]

  8. AOL Mail

    mail.aol.com

    You can find instant answers on our AOL Mail help page. Should you need additional assistance we have experts available around the clock at 800-730-2563.

  9. Similarity measure - Wikipedia

    en.wikipedia.org/wiki/Similarity_measure

    Similarity between two data points. Image shows the path of calculation when using the Euclidean distance formula. There are many various options available when it comes to finding similarity between two data points, some of which are a combination of other similarity methods.