Built In Functions

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| Name || Description
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| 	abs(number)	 || 	Absolute value
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| 	acos(number)	 || 	Inverse cosine
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| 	acosh(number)	 || 	Inverse hyperbolic cosine
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| 	acot(number)	 || 	Inverse cotangent
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| 	acoth(number)	 || 	Inverse hyperbolic cotangent
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| 	acsc(number)	 || 	Inverse cosecent
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| 	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)
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| 	alg(matrix, number, number)	 || 	Cofactor (algebraic signed minor) of matrix
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| 	arg(number)	 || 	Angle from the real axis to the given complex number
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| 	asec(number)	 || 	Inverse secent
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| 	asin(number)	 || 	Inverse sine
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| 	asinh(number)	 || 	Inverse hyperbolic sine
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| 	atan(number)	 || 	Inverse tangent
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| 	atanh(number)	 || 	Inverse hyperbolic tangent
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| 	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.
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| 	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.
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| 	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)
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| 	col(matrix, number)	 || 	Returns the specified column of the matrix/vector
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| 	cols(matrix)	 || 	Returns the number of columns of the matrix/vector
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| 	concat(…)	 || 	Concatenating strings
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| 	continue	 || 	Ends the current iteration of a loop
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| 	cos(number)	 || 	Cosine
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| 	cosh(number)	 || 	Hyperbolic cosine
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| 	cot(number)	 || 	Cotangent
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| 	coth(number)	 || 	Hyperbolic cotangent
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| 	csc(number)	 || 	Cosecantc
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| 	csch(number)	 || 	Hyperbolic cosecant
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| 	csort(matrix/vector, number)	 || 	Returns a matrix/vector formed by rearranging rows until specified column is in ascending order
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| 	description("name")	 || 	Returns Description text of the definition “name” using current language
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| 	det(matrix)	 || 	Matrix determinate
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| 	dfile(filename)	 || 	Remove file from file system
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| 	diag(vector)	 || 	Returns a square matrix containing on its diagonal the elements of vector (Vector is a column matrix)
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| 	diff(2)(expression, variable)	 || 	Differentiate (dx/dy)
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| 	diff(3)(expression, variable)	 || 	Differentiate (d2x/dy2)
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| 	el(matrix, vector)	 || 	Returns the specified element of the vector
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| 	el(matrix, number, number)	 || 	Return the element of the matrix mij
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| 	error(string)	 || 	Shows standard SMath Studio error tip with text form the function argument
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| 	eval(expression)	 || 	Converts the given expression from symbolic to numeric notation
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| 	exp(number)	 || 	Exponential function e raised to the power number
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| 	findrows(matrix, expression, number)	 || 	Retrieves all rows of matrix where expression is specified in column number.  Returns 0 if no matches found.
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| 	findstr(string, string)	 || 	Returns vector of start position of second string insider first string.  Returns -1 if no match found
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| 	for(3)(increment, vector, body)	 || 	For loop
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| 	for(4)(increment, condition, action, body)	 || 	For loop
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| 	Gamma(number)	 || 	Gamma function calculation
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| 	grads(number)	 || 	Evaluate in Grads
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| 	identity(number)	 || 	Returns an nxn identity matrix.  n must be a positive integer
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| 	if(condition, true, false)	 || 	Returns the "true statement" if logical "condition statement" is true (non-zero).  "false statement" otherwise.
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| 	Im(number)	 || 	Imaginary part of complex number
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| 	importData(filename)	 || 	Returns a matrix of loaded data from specified file using default parsing parameters
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| 	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.
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| 	int(express, number, number, variable)	 || 	Definite integral
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| 	invert(matrix/number)	 || 	Inverted value
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| 	IsDefined("expression")	 || 	Returns 1 if all variables and functions in the expression is defined, 0 - otherwise. (*)
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| 	IsString(argument)	 || 	Returns 1 if specified argument is a string.  0 otherwise
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| 	Jacob(vector,vector)	 || 	Returns the Jacobian matrix of the vector function (*)
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| 	length(matrix/vector)	 || 	The number of elements in matrix or vector.  Returns a scalar
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| 	line(…)	 || 	Draws a line for a subroutine
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| 	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)
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| 	ln(number)	 || 	Natural logarithm
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| 	log(number, number)	 || 	Logarithm of number to the specified base (second number)
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| 	log10(number)	 || 	Base 10 logarithm of number
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| 	mat(…)	 || 	Matrix
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| 	matrix(rows, cols)	 || 	Returns a matrix of size specified filled with zeros
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| 	max(matrix/vector)	 || 	Returns the largest element of matrix/vector.  If any value is complex returns max(Re(…))+i*max(Im(…))
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| 	min(matrix/vector)	 || 	Returns the smallest element of matrix/vector.  If any value is complex returns min(Re(…))+i*min(Im(…))
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| 	minor(matrix, number, number)	 || 	Minor of matrix
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| 	mod(number, number)	 || 	Returns the remainder on dividing the first argument by the second.  Arguments must be real
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| 	norm1(matrix)	 || 	Returns the  L1 norm of the matrix
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| 	norme(matrix)	 || 	Returns the Euclidean norm of the matrix
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| 	normi(matrix)	 || 	Returns the infinite norm of the matrix
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| 	nthroot(number, number)	 || 	Root
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| 	num2str(expression)	 || 	Converts specified math expression to a string
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| 	numden(expression)	 || 	Returns a 2 element vector of numerator and denominator values of expression
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| 	perc(number, percent)	 || 	Percentage
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| 	pol2xy(number, number)	 || 	Converts the polar coordinates of a point in 2D space to rectangular coordinates
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| 	polyroots(vector)	 || 	Returns all the roots of the polynomial whose coefficients are in argument vector
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| 	product(expression, number,	number, variable) || 	Iterated product
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| 	random(number)	 || 	The random number from 0 to the arguments value
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| 	range(2)(number, number)	 || 	Returns a vector of values within the specified range with step equal to 1
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| 	range(3)(number, number, step)	 || 	Returns a vector of values within the specified range with step equal to step
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| 	rank(matrix)	 || 	Matrix rank
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| 	Re(number)	 || 	Returns the real part of complex number
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| 	reverse(matrix/vector)	 || 	Reverses the order of rows of matrix or of element in a vector
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| 	rfile(filename)	 || 	Read math expression from file
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| 	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. (*)
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| 	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. (*)
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| 	round(number, number)	 || 	Rounds the real number x to n places
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| 	row(matrix/vector, number)	 || 	Returns the row of the matrix/vector
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| 	rows(matrix/vector)	 || 	Number of rows of the matrix/vector
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| 	rsort(matrix/vector, number)	 || 	Returns a matrix formed by rearranging columns until specified row is in ascending order
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| 	sec(number)	 || 	Secant
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| 	sech(number)	 || 	Hyperbolic secant
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| 	sign(number)	 || 	Returns 0 if x=0, 1 if x>0, and -1 otherwise.  Argument must be a real number
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| 	sin(number)	 || 	Sine
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| 	sinh(number)	 || 	Hyperbolic sine
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| 	solve(2)(expression, variable)	 || 	Returns real roots of expression with respect to variable
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| 	solve(4)(expression, variable, lower, upper)	 || 	Returns real roots of expression with respect to variable in the interval between lower and upper
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| 	sort(vector)	 || 	Returns a vector with the values sorted in ascending order
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| 	sqrt(number)	 || 	Square root
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| 	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.
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| 	str2num(string)	 || 	Returns math expression formed by converting from specified string
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| 	strlen(string)	 || 	Returns the number of characters in specified string
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| 	strrep(originalString, oldString, newString)		 || 	Replaces all occurrences of oldString within originalString with newString
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| 	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
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| 	substr(string, number)	 || 	Returns a substring of string. Where number is a starting character position of substring.
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| 	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.
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| 	sum(matrix)	 || 	Summation of the vector/matrix elements
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| 	sum(expression, number, number, variable)	 || 	Summation of an expression “matrix” in summation variable “increment” with lower limit “number1” and upper limit “number2”
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| 	sys(…)	 || 	Multiple values
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| 	tan(number)	 || 	Tangent
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| 	tanh(number)	 || 	Hyperbolic tangent
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| 	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
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| 	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.
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| 	transpose(matrix/vector)	 || 	Matrix transpose
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| 	trunc(number)	 || 	The integer part of a real number by removing the fractional part
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| 	vminor(matrix,number, number)	 || 	Returns submatrix of matrix excepting the specified row and column
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| 	wfile(expression,filename)	 || 	Write math expression to file.  If file with filename existing function will overwrite it.  Will return 1 if successful, 0 otherwise
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| 	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.
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| 	xy2pol(number,number)	 || 	Converts the rectangular coordinates of a point in 2D space to polar coordinates.
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