, i=1,2,..., imax and j=1,2,..., jmax Definition: {e1, e2, ...,en} is a list of elements. Elements can be objects of very general type: numbers, expressions, lists, graphics, ...
| Function | Action | |
| {a1,a2,.....} | Generates one-dimensional list with elements a1,a2,... Can be memorised as arbitrary variable, for instance tt ={1,2,3} | |
| {{b1,b2,...},{c1,c2,...}, ...} | Generates a matrix with the first row b1,b2,... the second row c1,c2,... | |
| Table[ f , {n}] | Generates a vector of n equal elements f, i.e. the list {f,f,...,f} | |
| Table[ f , {i, n}] | Generates a vector with n elements f(i), i=1,...,n. | |
| Table[ f , {i, imin, imax}] | Generates a vector with elements f(i), i=imin, ... imax | |
| Table[ f , {i, imin, imax, di}] | Generates a vector with elements f(i), i=imin, ... imax incremented by step di. | |
| TableForm[ list ] | Shows the elements of the list vertically and without any separators | |
| ColumnForm[ list ] | Shows the list elements in colomns | |
| % // TableForm | Shows vertically the previous Mathematica Kernel result. | |
| Array[ a, n ] | Defines an array {a[1],a[2],..., a[n]} of general type of elements | |
| Range[ n ] | Generates the list of integers {1,2,...,n} | |
| Range[ n1,n2] | Generates the list of integers from n1 to n2. | |
| Range[ n1,n2, di ] | Generates the list of integers from n1 to n2 by step di | |
| list[ [ i ] ] or Part[list, i ] | Extracts the i-th element of the list | |
| list[ [ i, j ] ] or Part[list, i ,j ] | Extracts the (i,j)-th element of the matrix list | |
| Lenght[ list ] | Counts the number of elements in list | |
| Table[ f, {i, imax}, {j, jmax} ] | Generates a rectangular table (matrix) indexed f
, i=1,2,..., imax and j=1,2,..., jmax | |
| Array[ a, {m,n}] | Defines a two-dimensional array of elements of general objects a[i,j] | |
| IdentityMatrix[ n ] | Generates identity matrix of order n | |
| DiagonalMatrix[ list ] | Generates a diagonal matix with diagonal elements taken from the list | |
| Dimensions[ list ] | Gives the dimensions of the list | |
| MatrixForm[ list ] | Shows the list in a matrix form. | |
| c m or c*m | Multiplies a constant c by the matrix m | |
| a . b | Multiplies the matrices a and b | |
| Inverse[ m ] | Inverses the matrix m if possible | |
| MatrixPower[ m, n ] | Evaluates the n-th matrix power of the matrix m | |
| Det[ m ] | Evaluates the determinant of the square matrix m | |
| Transpose[ m ] | Obtains the transpose matrix of m | |
| Eigenvalues[ m ] | Gives a list of the eigenvalues of the square matrix m | |
| Eigenvalues[m , k] | Gives the list of the first k eigenvalues of m | |
| Eigenvalues[ N [m] ] | Calculates numerically the eigenvalues of the square matrix m | |
| Eigenvectors[ m ] | Gives a list of the eigenvectors of the square matrix m | |
| Eigenvectors[ N[ m ] ] | Calculates numerically the eigenvectors of m. | |
| Apply [ Plus, списък ] or Plus @@ list | Evaluates the total sum of all elements in list | |
| Apply [ Times, list ] or Times @@ list | Evaluates the total product of all elements in list . | |