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Algebra

  • Exponent
  • The degree of an nth root
  • The index of a subgroup is the number of a subgroup's left cosets (which is equal to the number of its right cosets).
  • The index of a linear map, is the dimension of the map's kernel minus the dimension of its cokernel.
  • The index of a real quadratic form Q is defined (but not always consistently) as pq where Q can be written as a difference of p squared linear terms and q squared linear terms.
  • The index of a matrix is the least integer k ≥ 0 such that rank(Ak+1) = rank(Ak).

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