Mathematical

The following functions are supported in Synthetic Variables mathematical expressions. These functions receive a variable's time-series data as arguments.

Syntax	Description
$ceil(x)$	Returns the smallest integer greater than or equal to each element in the variable x. The ceil function always rounds up to the nearest integer.
$floor(x)$	Returns the largest integer less than or equal to x.
$round(x, n)$	Returns each element in the variable x rounded to n digits after the decimal point. By default, n is 2 in Ubidots.
$sin(x)$	Returns the sine, in radians, of each element in the variable x.
$cos(x)$	Returns the cosine, in radians, of each element in the variable x.
$tan(x)$	Returns the tangent of each element in the variable x, where x is in radians.
$arcsin(x)$	Returns the inverse sine, in radians, of each element in the variable x.
$arccos(x)$	Returns the inverse cosine, in radians, of each element in the variable x.
$arctan(x)$	Returns the inverse tangent, in radians, of each element in the variable x.
$arctan2(x, y)$	Returns the inverse tangent, in radians, using the input variables x and y as Cartesian coordinates. Note: It only performs the operation on values with the same timestamp.
$sinh(x)$	Returns the hyperbolic sine of each element in the variable x.
$cosh(x)$	Returns the hyperbolic cosine of each element in the variable x.
$tanh(x)$	Returns the hyperbolic tangent of each element in the variable x.
$arcsinh(x)$	Returns the inverse hyperbolic sine, in radians, of each element in the variable x.
$arccosh(x)$	Returns the inverse hyperbolic cosine, in radians, of each element in the variable x.
$arctanh(x)$	Returns the inverse hyperbolic tangent, in radians, of each element in the variable x.
$poly(x, c1, c2, c3...)$	Returns the result of a polynomial expression of order $n$, where $n$ is the number of constants minus 1, for each element in the variable x.
$exp(x)$	Returns the exponential of each element in the variable x.
$log(x, base)$	Returns the logarithm of each element in the variable x. By default, the base is Euler's number.
$abs(x)$	Returns the absolute value of each element in the variable x.
$sqrt(x)$	Returns the square root of each element in the variable x.

x and y represent variables as time series or dots.