• In linear algebra, the outer product of two coordinate vectors is the matrix whose entries are all products of an element in the first vector with an element...
    18 KB (2,942 words) - 12:13, 7 November 2024
  • Thumbnail for Inner product space
    "inner product" is opposed to outer product, which is a slightly more general opposite. Simply, in coordinates, the inner product is the product of a 1...
    56 KB (7,305 words) - 21:55, 1 November 2024
  • operators on a Hilbert space H is given by the outer product: if ⟨ϕ| is a bra and |ψ⟩ is a ket, the outer product | ϕ ⟩ ⟨ ψ | {\displaystyle |\phi \rangle \...
    42 KB (6,315 words) - 20:48, 5 November 2024
  • meanings, while others have very different names (outer product, tensor product, Kronecker product) and yet convey essentially the same idea. A brief...
    16 KB (2,518 words) - 15:26, 7 September 2024
  • then the outer product between x {\displaystyle x} and y {\displaystyle y} is defined as x y T {\displaystyle xy^{T}} . The Kronecker product is related...
    40 KB (6,082 words) - 19:51, 4 September 2024
  • multiplication Metric tensor Multiplication of vectors Outer product The term scalar product means literally "product with a scalar as a result". It is also used...
    28 KB (4,321 words) - 19:09, 9 October 2024
  • Thumbnail for Semidirect product
    normal subgroup. an outer semidirect product is a way to construct a new group from two given groups by using the Cartesian product as a set and a particular...
    30 KB (4,542 words) - 19:01, 17 October 2024
  • Thumbnail for Neuro-fuzzy
    Outer-product Based Fuzzy Neural Network". Neural Networks, 9(9), 1569-1581. Quek, C., & Zhou, R. W. (1999). "POPFNN-AAR(S): a pseudo outer-product based...
    7 KB (918 words) - 16:09, 1 March 2024
  • of the diagonal elements, hence the sum over a common index Aii. The outer product of the column vector ui by the row vector vj yields an m × n matrix...
    14 KB (2,049 words) - 01:26, 28 October 2024
  • Thumbnail for Cross product
    In mathematics, the cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation...
    75 KB (11,475 words) - 10:44, 26 October 2024