Cover (album) - Mathematics

Mathematics

  • Cover (topology), the mathematical concept of a collection of subsets of a set whose union is the whole set
  • Cover (algebra), the concept of an algebraic structure that maps onto another structure in structure-preserving fashion
  • A pair in the covering relation of a partially ordered set, or the greater element in such a pair
  • A covering space, in the theory of Riemann surfaces and topology
  • A (universal / double), covering group, a covering space with group structure, common in theoretical physics
  • Cover, an equivalent set of constraints in database theory

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Famous quotes containing the word mathematics:

    The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.
    Willard Van Orman Quine (b. 1908)

    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)