Name | Argument(s) | Formula or meaning | Argument Constraints | Result constraints
--- | --- | --- | --- | ---
`abs` | x | Absolute value of x. |  |
`acos`, `arccos` | x | Arccosine of x in radians. | –1.0 ≤ x ≤ 1.0 | 0 ≤ acos(x) ≤ π
`acosh`, `arccosh` | x | Hyperbolic arccosine of x in radians. |  |
`acot`, `arccot` | x | Arccotangent of x in radians. |  |
`acoth`, `arccoth` | x | Hyperbolic arccotangent of x in radians. |  |
`acsc`, `arccsc` | x | Arccosecant of x in radians. |  |
`acsch`, `arccsch` | x | Hyperbolic arccosecant of x in radians. |  |
`asec`, `arcsec` | x | Arcsecant of x in radians. |  |
`asech`, `arcsech` | x | Hyperbolic arcsecant of x in radians. |  |
`asin`, `arcsin` | x | Arcsine of x in radians. | –1.0 ≤ x ≤ 1.0 | 0 ≤ asin(x) ≤ π
`atan`, `arctan` | x | Arctangent of x in radians. |  | 0 ≤ atan(x) ≤ π
`atanh`, `arctanh` | x | Hyperbolic arctangent of x in radians. |  |
`ceil`, `ceiling` | x | Smallest number not less than x whose value is an exact integer. |  |
`cos` | x | Cosine of x |  |
`cosh` | x | Hyperbolic cosine of x. |  |
`cot` | x | Cotangent of x. |  |
`coth` | x | Hyperbolic cotangent of x. |  |
`csc` | x | Cosecant of x. |  |
`csch` | x | Hyperbolic cosecant of x. |  |
`delay` | x, y | The value of x at y time units in the past. |  |
`factorial` | n | The factorial of n. Factorials are defined by n! = n*(n–1)* ... * 1. | n must be an integer. |
`exp` | x | e x, where e is the base of the natural logarithm. |  |
`floor` | x | The largest number not greater than x whose value is an exact integer. |  |
`ln` | x | Natural logarithm of x. | x > 0 |
`log` | x | By default, the base 10 logarithm of x, but can be set to be the natural logarithm of x, or to be an illegal construct. | x > 0 |
`log` | x, y | The base x logarithm of y. | y > 0 |
`log10` | x | Base 10 logarithm of x. | x > 0 |
`piecewise` | x1, y1, [x2, y2,] [...] [z] | A piecewise function: if (y1), x1. Otherwise, if (y2), x2, etc. Otherwise, z. | y1, y2, y3 [etc] must be Boolean |
`pow`, `power` | x, y | x y. |  |
`root` | b, x | The root base b of x. |  |
`sec` | x | Secant of x. |  |
`sech` | x | Hyperbolic secant of x. |  |
`sqr` | x | x2. |  |
`sqrt` | x | √x. | x > 0 | sqrt(x) ≥ 0
`sin` | x | Sine of x. |  |
`sinh` | x | Hyperbolic sine of x. |  |
`tan` | x | Tangent of x. | x ≠ n*π/2, for odd integer n |
`tanh` | x | Hyperbolic tangent of x. |  |
`and` | x, y, z... | Boolean and(x, y, z...): returns `true` if all of its arguments are true. Note that `and` is an n-ary function, taking 0 or more arguments, and that `and()` returns `true`. | All arguments must be Boolean |
`not` | x | Boolean not(x) | x must be Boolean |
`or` | x, y, z... | Boolean or(x, y, z...): returns `true` if at least one of its arguments is true. Note that `or` is an n-ary function, taking 0 or more arguments, and that `or()` returns `false`. | All arguments must be Boolean |
`xor` | x, y, z... | Boolean xor(x, y, z...): returns `true` if an odd number of its arguments is true. Note that `xor` is an n-ary function, taking 0 or more arguments, and that `xor()` returns `false`. | All arguments must be Boolean |
`eq` | x, y, z... | Boolean eq(x, y, z...): returns `true` if all arguments are equal. Note that `eq` is an n-ary function, but must take 2 or more arguments. |  |
`geq` | x, y, z... | Boolean geq(x, y, z...): returns `true` if each argument is greater than or equal to the argument following it. Note that `geq` is an n-ary function, but must take 2 or more arguments. |  |
`gt` | x, y, z... | Boolean gt(x, y, z...): returns `true` if each argument is greater than the argument following it. Note that `gt` is an n-ary function, but must take 2 or more arguments. |  |
`leq` | x, y, z... | Boolean leq(x, y, z...): returns `true` if each argument is less than or equal to the argument following it. Note that `leq` is an n-ary function, but must take 2 or more arguments. |  |
`lt` | x, y, z... | Boolean lt(x, y, z...): returns `true` if each argument is less than the argument following it. Note that `lt` is an n-ary function, but must take 2 or more arguments. |  |
`neq` | x, y | Boolean x != y: returns `true` unless x and y are equal. |  |
`plus` | x, y, z... | x + y + z + ...: The sum of the arguments of the function. Note that `plus` is an n-ary function taking 0 or more arguments, and that `plus()` returns `0`. |  |
`times` | x, y, z... | x * y * z * ...: The product of the arguments of the function. Note that `times` is an n-ary function taking 0 or more arguments, and that `times()` returns `1`. |  |
`minus` | x, y | x – y. |  |
`divide` | x, y | x / y. |  |
Mathematical functions defined in the "Level 3" text-string formula syntax.