| Name | Description |
| abs(number) | Absolute value |
| acos(number) | Inverse cosine |
| acosh(number) | Inverse hyperbolic cosine |
| acot(number) | Inverse cotangent |
| acoth(number) | Inverse hyperbolic cotangent |
| acsc(number) | Inverse cosecent |
| ainterp(x-vector, y-vector, number) | Akima-spline interpolated value at number for data vector x-vector and y-vector of the same size (Vector is a column matrix) |
| alg(matrix, number, number) | Cofactor (algebraic signed minor) of matrix |
| arg(number) | Angle from the real axis to the given complex number |
| asec(number) | Inverse secent |
| asin(number) | Inverse sine |
| asinh(number) | Inverse hyperbolic sine |
| atan(number) | Inverse tangent |
| atanh(number) | Inverse hyperbolic tangent |
| augment(…) | Returns a matrix formed by placing arguments left to right. Arguments are matrices or column vectors having the same number of rows, or they are scalars and row vectors. |
| break | Terminates the execution of the nearest enclosing loop in which it appears. Control passes to the statement that follows the terminated statement, if any. |
| cinterp(x-vector, y-vector, number) | Returns a cubic spline interpolated value at number for data vectors x-vector and y-vector of the same size (Vector is a column matrix) |
| col(matrix, number) | Returns the specified column of the matrix/vector |
| cols(matrix) | Returns the number of columns of the matrix/vector |
| concat(…) | Concatenating strings |
| continue | Ends the current iteration of a loop |
| cos(number) | Cosine |
| cosh(number) | Hyperbolic cosine |
| cot(number) | Cotangent |
| coth(number) | Hyperbolic cotangent |
| csc(number) | Cosecantc |
| csch(number) | Hyperbolic cosecant |
| csort(matrix/vector, number) | Returns a matrix/vector formed by rearranging rows until specified column is in ascending order |
| description("name") | Returns Description text of the definition “name” using current language |
| det(matrix) | Matrix determinate |
| dfile(filename) | Remove file from file system |
| diag(vector) | Returns a square matrix containing on its diagonal the elements of vector (Vector is a column matrix) |
| diff(2)(expression, variable) | Differentiate (dx/dy) |
| diff(3)(expression, variable) | Differentiate (d2x/dy2) |
| el(matrix, vector) | Returns the specified element of the vector |
| el(matrix, number, number) | Return the element of the matrix mij |
| error(string) | Shows standard SMath Studio error tip with text form the function argument |
| eval(expression) | Converts the given expression from symbolic to numeric notation |
| exp(number) | Exponential function e raised to the power number |
| expand(expression) | Simplify expression |
| exportCell(value, filename, sheetname, row, column) | Exports data to the Excel cell. |
| findrows(matrix, expression, number) | Retrieves all rows of matrix where expression is specified in column number. Returns 0 if no matches found. |
| findstr(string, string) | Returns vector of start position of second string insider first string. Returns -1 if no match found |
| for(3)(increment, vector, body) | For loop |
| for(4)(increment, condition, action, body) | For loop |
| Gamma(number) | Gamma function calculation |
| identity(number) | Returns an nxn identity matrix. n must be a positive integer |
| if(condition, true, false) | Returns the "true statement" if logical "condition statement" is true (non-zero). "false statement" otherwise. |
| Im(number) | Imaginary part of complex number |
| importCell(filename, sheetName, row, column) | Imports data from the Excel cell |
| importData(filename) | Returns a matrix of loaded data from specified file using default parsing parameters |
| importData(filename, decimalSymbol, argumentsSeparator, columnsDelimiter, fromRow, toRow, fromColumn, toColumn, isSymbolic) | Returns a matrix of loaded data from specified file. Function can be used with 1-9 of the arguments specified. Digit 0 (zero) can be used for the arguments (except filename) to get the built in default values. |
| int(express, number, number, variable) | Definite integral |
| invert(matrix/number) | Inverted value |
| IsDefined("expression") | Returns 1 if all variables and functions in the expression is defined, 0 - otherwise. (*) |
| IsString(argument) | Returns 1 if specified argument is a string. 0 otherwise |
| Jacob(vector,vector) | Returns the Jacobian matrix of the vector function (*) |
| length(matrix/vector) | The number of elements in matrix or vector. Returns a scalar |
| line(…) | Draws a line for a subroutine |
| linterp(x-vector, y-vector, number) | Returns a linearly interpolated value at number for data vectors x-vector and y-vector of the same size. (Vector is a column matrix) |
| ln(number) | Natural logarithm |
| log(number, number) | Logarithm of number to the specified base (second number) |
| log10(number) | Base 10 logarithm of number |
| mat(…) | Matrix |
| matrix(rows, cols) | Returns a matrix of size specified filled with zeros |
| max(matrix/vector) | Returns the largest element of matrix/vector. If any value is complex returns max(Re(…))+i*max(Im(…)) |
| min(matrix/vector) | Returns the smallest element of matrix/vector. If any value is complex returns min(Re(…))+i*min(Im(…)) |
| minor(matrix, number, number) | Minor of matrix |
| mod(number, number) | Returns the remainder on dividing the first argument by the second. Arguments must be real |
| norm1(matrix) | Returns the L1 norm of the matrix |
| norme(matrix) | Returns the Euclidean norm of the matrix |
| normi(matrix) | Returns the infinite norm of the matrix |
| nthroot(number, number) | Root |
| num2str(expression) | Converts specified math expression to a string |
| numden(expression) | Returns a 2 element vector of numerator and denominator values of expression |
| perc(number, percent) | Percentage |
| pol2xy(number, number) | Converts the polar coordinates of a point in 2D space to rectangular coordinates |
| polyroots(vector) | Returns all the roots of the polynomial whose coefficients are in argument vector |
| product(expression, number, number, variable) | Iterated product |
| random(number) | The random number from 0 to the arguments value |
| range(2)(number, number) | Returns a vector of values within the specified range with step equal to 1 |
| range(3)(number, number, step) | Returns a vector of values within the specified range with step equal to step |
| rank(matrix) | Matrix rank |
| Re(number) | Returns the real part of complex number |
| reverse(matrix/vector) | Reverses the order of rows of matrix or of element in a vector |
| rfile(filename) | Read math expression from file |
| roots(vector1,vector2) | Finds roots for system of nonlinear equations. Returns the values of vector2 to make the set of functions vector1 equal to zeros. (*) |
| roots(vector1,vector2,vector3) | Finds roots for system of nonlinear equations according to specified approaches vector3. Returns the value of vector2 to make the set of functions vector1 equal to zeros. (*) |
| round(number, number) | Rounds the real number x to n places |
| row(matrix/vector, number) | Returns the row of the matrix/vector |
| rows(matrix/vector) | Number of rows of the matrix/vector |
| rsort(matrix/vector, number) | Returns a matrix formed by rearranging columns until specified row is in ascending order |
| sec(number) | Secant |
| sech(number) | Hyperbolic secant |
| sign(number) | Returns 0 if x=0, 1 if x>0, and -1 otherwise. Argument must be a real number |
| sin(number) | Sine |
| sinh(number) | Hyperbolic sine |
| solve(2)(expression, variable) | Returns real roots of expression with respect to variable |
| solve(4)(expression, variable, lower, upper) | Returns real roots of expression with respect to variable in the interval between lower and upper |
| sort(vector) | Returns a vector with the values sorted in ascending order |
| sqrt(number) | Square root |
| stack(…) | Returns a matrix formed by placing arguments top to bottom. Arguments are matrices or column vectors having the same number of columns, or they are scalars and column vectors. |
| str2num(string) | Returns math expression formed by converting from specified string |
| strlen(string) | Returns the number of characters in specified string |
| strrep(originalString, oldString, newString) | Replaces all occurrences of oldString within originalString with newString |
| submatrix(matrix, i_row, j_row, i_col,j_col) | Returns the submatrix consisting of elements in rows i_row through j_row and columns i_col through j_col |
| substr(string, number) | Returns a substring of string. Where number is a starting character position of substring. |
| substr(string, number1, number2) | Returns a substring of string. Where number1 is a starting character position of substring; number2 is a length of result string. |
| sum(matrix) | Summation of the vector/matrix elements |
| sum(expression, number, number, variable) | Summation of an expression “matrix” in summation variable “increment” with lower limit “number1” and upper limit “number2” |
| sys(…) | Multiple values |
| tan(number) | Tangent |
| tanh(number) | Hyperbolic tangent |
| tr(matrix) | Matrix trace. Sum of the element on the main diagonal (the diagonal from the upper left to the lower right) of a square matrix |
| trace(…) | Returns a string containing the value of the arguments with output order and surrounding text specified by first argument. Output values in the Output Window. Specifying the first text argument is optional. |
| transpose(matrix/vector) | Matrix transpose |
| trunc(number) | The integer part of a real number by removing the fractional part |
| vminor(matrix,number, number) | Returns submatrix of matrix excepting the specified row and column |
| wfile(expression,filename) | Write math expression to file. If file with filename existing function will overwrite it. Will return 1 if successful, 0 otherwise |
| while(condition,body) | Function of iterations. The cycle carries out a body while the condition is true. Important: in a body any quantity of expressions by means of function line(…) can be set. |
| xy2pol(number,number) | Converts the rectangular coordinates of a point in 2D space to polar coordinates. |