enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Euclidean space - Wikipedia

    en.wikipedia.org/wiki/Euclidean_space

    Originally, in Euclid's Elements, it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean spaces of any positive integer dimension n, which are called Euclidean n-spaces when one wants to specify their dimension. [1]

  3. Euclidean distance - Wikipedia

    en.wikipedia.org/wiki/Euclidean_distance

    The distance from a point to a plane in three-dimensional Euclidean space [7] The distance between two lines in three-dimensional Euclidean space [8] The distance from a point to a curve can be used to define its parallel curve, another curve all of whose points have the same distance to the given curve. [9]

  4. Four-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Four-dimensional_space

    Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.

  5. n-sphere - Wikipedia

    en.wikipedia.org/wiki/N-sphere

    The space ⁠ ⁠ is split as the product of two Euclidean spaces of smaller dimension, but neither space is required to be a line. Specifically, suppose that ⁠ p {\displaystyle p} ⁠ and ⁠ q {\displaystyle q} ⁠ are positive integers such that ⁠ n = p + q {\displaystyle n=p+q} ⁠ .

  6. Minkowski–Bouligand dimension - Wikipedia

    en.wikipedia.org/wiki/Minkowski–Bouligand...

    Estimating the box-counting dimension of the coast of Great Britain. In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the fractal dimension of a bounded set in a Euclidean space, or more generally in a metric space (,).

  7. Euclidean plane - Wikipedia

    en.wikipedia.org/wiki/Euclidean_plane

    In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted or . It is a geometric space in which two real numbers are required to determine the position of each point . It is an affine space , which includes in particular the concept of parallel lines .

  8. Distance geometry - Wikipedia

    en.wikipedia.org/wiki/Distance_geometry

    In particular, , the -dimensional Euclidean space, is the canonical metric space in distance geometry. The triangle inequality is omitted in the definition, because we do not want to enforce more constraints on the distances d i j {\displaystyle d_{ij}} than the mere requirement that they be positive.

  9. Sphere packing - Wikipedia

    en.wikipedia.org/wiki/Sphere_packing

    The spheres considered are usually all of identical size, and the space is usually three-dimensional Euclidean space. However, sphere packing problems can be generalised to consider unequal spheres, spaces of other dimensions (where the problem becomes circle packing in two dimensions, or hypersphere packing in higher dimensions) or to non ...