Mathematical Functions

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esProc provides the following mathematical functions that return mathematical values.

Ø abs()	Return the absolute value
Ø acos()	Return the arc cosine value
Ø acosh()	Return the inverse hyperbolic cosine
Ø and()	Perform bitwise AND operation on integers
Ø asin()	Return the arc sine value
Ø asinh()	Return the inverse hyperbolic sine
Ø atan()	Return the arc tangent value
Ø atanh()	Return the inverse hyperbolic tangent
Ø bits()	Convert to decimal numbers
Ø ceil()	Truncate data at the specified position, and carry the remaining part if any
Ø combin()	Return the number of combinations
Ø cos()	Return the cosine value
Ø cosh()	Return the hyperbolic cosine
Ø cov()	Calculate the covariance between two vectorsCalculate the covariance
Ø covm()	matrix for a matrix
Ø det()	Calculate the determinant of a square matrix
Ø digits()	Convert a numeric string of certain numeral system to a specific numeral system
Ø dis()	Calculate the Euclidean distance between two vectors
Ø dism()	Calculate Mahalanobis distance between two vectors on covariance matrix
Ø exp()	Return e to the n^th power
Ø fact()	Return the factorial
Ø floor()	Truncate data at the specified position, and reject all the remaining part if any
Ø gcd()	Return the greatest common divisor
Ø hash()	Return a hash value
Ø I()	Generate an identity matrix of a specified size
Ø inf()	Return positive infinity value
Ø -inf()	Return negative infinity value
Ø inverse()	Calculate the inverse of a square matrix
Ø lcm()	Return the least common multiple
Ø lg()	Return the logarithm with 10 as the base
Ø linefit()	Perform linear fittting using the least squares method
Ø ln()	Return the natural logarithm
Ø mae()	Calculate the mean absolute error between two vectors
Ø mse()	Calculate the standard error of the mean between two vectors
Ø mul() Ø norm()	Calculate the product of two matrices or vectors Normalize a matrix or a vector
Ø not()	On integers, perform bitwise NOT operation to get the logical negation on each bit
Ø or() Ø pca() Ø pearson()	Perform bitwise OR operation on integers Perform PCA on a matrix and return data for dimensionality reduction Calculate Pearson’s correlation coefficient between two vectors
Ø permut()	Return the number of permutations
Ø pi() Ø pls()	The ratio of a circle’s circumference to its diameter Fit together matrices using PLS technique
Ø polyfit()	Calculate the coefficient between two vectors in polynomial fitting
Ø power()	Perform exponentiation or find the n^th root of a number
Ø product()	Return the product of a set of numbers
Ø rand() Ø rankm()	Return a random value Return the rank of a matrix
Ø rgb()	Convert the red, green, blue, and transparency values to the corresponding color value
Ø round() Ø	Truncate data at the specified position and round off the remaining part
Ø sg() Ø spearman() Ø shift()	Perform SG smoothing on each row of a vector or a matrix Calculate Spearman’s correlation coefficient between two vectors Perform a shift operation
Ø sign()	Judge whether the parameter is a positive or negative number or a 0
Ø sin()	Return the sine value
Ø sinh()	Return the hyperbolic sine
Ø sqrt()	Return the square root
Ø tan()	Return the tangent value
Ø tanh()	Return the hyperbolic tangent
Ø transpose()	Transpose a matrix
Ø var()	Calculate the generalized variance of a vector (sequence)
Ø xor()	Perform bitwise XOR operation on integers