\u21132(n) sphere

The set of points in R^n constrained by the \u21132 norm to have radius n^{1/2}, with points sampled uniformly from its surface.

• Types

  geometric object, sampling space

• Aliases

  l2 sphere, \u21132 sphere

• Contributors
  박진우 (dztg5apj7m) extractionB (s683577b42) reviewsijun-yang (m6hj47gh7t) review

• Asymptotic Distribution of Coordinates on High Dimensional Spheres

  35 citations

• Coordinates of a point chosen uniformly on the \u21132(n) sphere of radius n^{1/2} are approximately normally distributed for large n.

• No direct concept-to-concept edges are published yet.

• \u21131(n) sphere

  geometric object, sampling space1 shared papers
• double exponential distribution

  probability distribution1 shared papers
• normal distribution

  probability distribution1 shared papers
• \u2113_p(n) sphere family

  geometric family, sampling space1 shared papers
• normalized empirical process

  stochastic process, asymptotic object1 shared papers
• brownian bridge

  stochastic process, gaussian process1 shared papers
• simple normal process

  stochastic process, gaussian process1 shared papers
• weak convergence

  probability concept, limit notion1 shared papers