A Bultheel,PV Gucht - 《Acta Applicandae Mathematica》 被引量: 29发表: 2000年 Determination of semi-muonic branching ratios and fragmentation functions of heavy quarks ine+e? annihilation at á?s ?\\\langle \\\... Muon inclusive multihadronic final states ine + e – annihilation at á?
BLOCKMATRIX: Mathematica package to handle block matrix operations BlockMatrix.m provides the Kronecker product, Vec operator, Adjoin, BlockDiagonal and BlockMatrix functions, particularly useful in econometric applications of systems estimation. Unlike Outer[], which creates four-dimensional tensors, K....
Mathematica has special sparse array technology for efficiently handling arrays with literally astronomical numbers of elements when only a small fraction of the elements are nonzero. Illustration ■ A sparse 3-by-3 matrix S = SparseArray [{{1, 1} → 1, {2, 2} → 2, {3, 3} → 3, ...
A central limit theorem for products of random matrices and some of its applications Symposia Mathematica, vol. 21 (1977), pp. 101-116 Google Scholar Cited by (6) LARGE DEVIATIONS FOR RANDOM WALKS ON GROMOV-HYPERBOLIC SPACES 2023, Annales Scientifiques de l'Ecole Normale Superieure The joint...
Polynomial MultiplicationPrimitive RootInteger CoefficientLibrary FunctionFermat NumberIt is shown that, in Mathematica 5, the exact product of power series whose coefficients are integers or integer matrices can be calculated significantly faster if, instead of the library function for this product, one ...
Acta Mathematica Hungaricade Malafosse, B., Sum of sequence spaces and matrix transformations. Acta Math. Hung. 113 (3) (2006), 289-313.de Malafosse, B., Sum of sequence spaces and matrix transformations, Acta Math. Hung., 113, 3 (2006), 289-313....
To find the determinant of a 3 X 3 or larger matrix, first choose any row or column. Then the minor of each element in that row or column must be multiplied by + l or - 1, depending on whether the sum of the row numbers and column numbers is even or odd. The product of a min...
The ToeplitzMatrix function built into Mathematica can be used to create Toeplitz matrices. Illustration ■ A 4-by-4 Toeplitz matrix MatrixForm[T = ToeplitzMatrix[4]] 1234212332124321 The elements in row one and column one are the successive integers from 1 to 4. ■ Building Toeplitz matrices ...
The following Mathematica definition can be used to calculate the cofactors of a given matrix: Clear [A, i, j] A=452146706; Cofactor [m_List? MatrixQ, {i_Integer, j_Integer}] : = (− 1) ˆ (i+j) Det[Drop[Transpose[Drop[Transpose[m], {j}]], {i}]] The Cofactor command ...
can be solved, but when using Mathematica, the routine MatrixExp[ , ] gives the result directly in terms of RootSum[ , ]. After multiplication with ( 1 , 0 , 0 , 0 ) from the right, one obtains the four-component vector of expansion coefficient with respect to ( 1 , Σ , Σ 2...