diagonal form

diagonal form
мат. диагональная форма (матрицы)

Большой англо-русский и русско-английский словарь. 2001.

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  • Diagonal form — In mathematics, a diagonal form is an algebraic form (homogeneous polynomial) without cross terms involving different indeterminates. That is, it is for some given degree m, summed for 1 ≤ i ≤ n. Such forms F, and the hypersurfaces F = 0 they… …   Wikipedia

  • Diagonal pliers — with uninsulated handles. Diagonal pliers (or wire cutters or diagonal cutting pliers) are pliers intended for the cutting of wire (they are generally not used to grab or turn anything). They are sometimes called side cutting pliers or side… …   Wikipedia

  • diagonal — Adj erw. fach. (15. Jh., Form 18. Jh.) Entlehnung. Entlehnt aus ml. diagonalis, eigentlich: durch die Winkel , einer Bildung zu gr. diá durch und gr. gōnía Winkel . Die Diagonale ist die Verbindung zwischen zwei Ecken eines Vielecks in gerader… …   Etymologisches Wörterbuch der deutschen sprache

  • Diagonal butterflyfish — Scientific classification Kingdom: Animalia Phylum …   Wikipedia

  • Diagonal matrix — In linear algebra, a diagonal matrix is a matrix (usually a square matrix) in which the entries outside the main diagonal (↘) are all zero. The diagonal entries themselves may or may not be zero. Thus, the matrix D = (di,j) with n columns and n… …   Wikipedia

  • Diagonal — For the avenue in Barcelona, see Avinguda Diagonal. The diagonals of a cube with side length 1. AC (shown in blue) is a space diagonal with length , while AC (shown in red) is a face diagonal and has length …   Wikipedia

  • Diagonal relationship — A diagonal relationship is said to exist between certain pairs of diagonally adjacent elements in the second and third periods of the periodic table. These pairs (lithium (Li) and Mg, Be and Al, boron (B) and silicon (Si) etc.) exhibit similar… …   Wikipedia

  • Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… …   Wikipedia

  • Quadratic form — In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including… …   Wikipedia

  • Hasse invariant of a quadratic form — In mathematics, the Hasse invariant (or Hasse Witt invariant) of a quadratic form Q over a field K takes values in the Brauer group Br( K ).The quadratic form Q may be taken as a diagonal form: Sigma; a i x i 2.Its invariant is then defined as… …   Wikipedia

  • Smith normal form — The Smith normal form is a normal form that can be defined for any matrix (not necessarily square) with entries in a principal ideal domain (PID). The Smith normal form of a matrix is diagonal, and can be obtained from the original matrix by… …   Wikipedia


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