Frame - Mathematics

Mathematics

  • Basis, an ordered basis is also called a "frame"
  • Frame bundle, in mathematics is a principal fiber bundle associated with any vector bundle
  • Frame of reference, the set of coordinates in which a system is observed
  • Frame of a vector space, a generalization of a basis to sets of possibly linearly dependent vectors which also satisfy the frame condition
  • Frames and locales, in order theory
  • K-frame, a generalization of a basis to linearly independent sets of vectors that need not span the space
  • Moving frame, in differential geometry
  • Orthonormal frame, in Riemannian geometry
  • Projective frame, in projective geometry
  • Sampling frame, a set of items or events possible to measure (statistics)

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Famous quotes containing the word mathematics:

    Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.
    Simone Weil (1909–1943)

    Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the mathematics of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.
    Walter Reisch (1903–1963)

    I must study politics and war that my sons may have liberty to study mathematics and philosophy.
    John Adams (1735–1826)