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  2. National Council of Educational Research and Training

    en.wikipedia.org/wiki/National_Council_of...

    Those who wish to adopt the textbooks are required to send a request to NCERT, upon which soft copies of the books are received. The material is press-ready and may be printed by paying a 5% royalty, and by acknowledging NCERT. [11] The textbooks are in color-print and are among the least expensive books in Indian book stores. [11]

  3. Determinant - Wikipedia

    en.wikipedia.org/wiki/Determinant

    In mathematics, the determinant is a scalar-valued function of the entries of a square matrix.The determinant of a matrix A is commonly denoted det(A), det A, or | A |.Its value characterizes some properties of the matrix and the linear map represented, on a given basis, by the matrix.

  4. Jacobian matrix and determinant - Wikipedia

    en.wikipedia.org/wiki/Jacobian_matrix_and...

    In vector calculus, the Jacobian matrix (/ dʒ ə ˈ k oʊ b i ə n /, [1] [2] [3] / dʒ ɪ-, j ɪ-/) of a vector-valued function of several variables is the matrix of all its first-order partial derivatives.

  5. Vandermonde matrix - Wikipedia

    en.wikipedia.org/wiki/Vandermonde_matrix

    The determinant of a square Vandermonde matrix is called a Vandermonde polynomial or Vandermonde determinant.Its value is the polynomial = < ()which is non-zero if and only if all are distinct.

  6. Hyperdeterminant - Wikipedia

    en.wikipedia.org/wiki/Hyperdeterminant

    In algebra, the hyperdeterminant is a generalization of the determinant.Whereas a determinant is a scalar valued function defined on an n × n square matrix, a hyperdeterminant is defined on a multidimensional array of numbers or tensor.

  7. Eugen Netto - Wikipedia

    en.wikipedia.org/wiki/Eugen_Netto

    Eugen Netto. Eugen Otto Erwin Netto (30 June 1848 – 13 May 1919) was a German mathematician.He was born in Halle and died in Giessen. [1] [2]Netto's theorem, on the dimension-preserving properties of continuous bijections, is named for Netto.

  8. Characteristic polynomial - Wikipedia

    en.wikipedia.org/wiki/Characteristic_polynomial

    In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots.It has the determinant and the trace of the matrix among its coefficients.

  9. Slater determinant - Wikipedia

    en.wikipedia.org/wiki/Slater_determinant

    The use of Slater determinants ensures an antisymmetrized function at the outset. In the same way, the use of Slater determinants ensures conformity to the Pauli principle. Indeed, the Slater determinant vanishes if the set {} is linearly dependent. In particular, this is the case when two (or more) spin orbitals are the same.