# Mathematical $$x$$ and $$y$$ represent variables as [time series or `dots`](https://docs.ubidots.com/v1.6/reference/time-series)

Syntax	Example	Output
ceil(x)	ceil([1.2, 2, 3.7])	[2,2,4]
round(x, n)	round([1.22222, 2.9994332], 3)	[1.222, 2.999]
sin(x)	sin([0, 90])	[0, 0.893
cos(x)	cos([0, 90])	[1, -0.448]
tan(x)	tan([0, 90])	[0, -1.995]
arcsin(x)	arcsin([0, 90])	[0]
arccos(x)	arccos([0, 90])	[1.570]
arctan(x)	arctan([0, 90])	[0]
arctan2(x, y)	Assuming that the variables are sampled every minute. arctan2([1, 2], [0.1, 1])	[1.471127, 1.1071]
sinh(x)	sinh([0, 90])	[0, 6.1020exp38]
cosh(x)	cosh([0, 90])	[1, 6.1020exp38]
tanh(x)	tanh([0, 90])	[0, 1]
arcsinh(x)	arcsinh([0, 90])	[0, 5.19]
arccosh(x)	arccosh([0, 90])	[5.192]
arctanh(x)	arctanh([0, 90])	[0]
exp(x)	exp([-1, 0, 1, 2])	[0.367, 1.0, 2.718, 7.389]
log(x, base)	log([1, 2])	[0, 0.693]
abs(x)	abs([-1, 0, 1, 2])	[1, 0, 1 ,2]
sqrt(x)	sqrt[1,4]	[1,2]