user: Give a detailed overview of Properties: syntax, arguments, return values, common patterns.

assistant: Operation
:   The mathematical operator to be applied to the input values:

    Functions
    :   Add:
        :   The sum of the two values.

        Subtract:
        :   The difference between the two values.

        Multiply:
        :   The product of the two values.

        Divide:
        :   The division of the first value by the second value. Division by zero results in zero.

        Multiply Add:
        :   The sum of the product of the two values with *Addend*.

        Power:
        :   The *Base* raised to the power of *Exponent*.

        Logarithm:
        :   The log of the value with a *Base* as its base.

        Square Root:
        :   The square root of the value.

        Inverse Square Root:
        :   One divided by the square root of the value.

        Absolute:
        :   The input value is read without regard to its sign.
            This turns negative values into positive values.

        Exponent:
        :   Raises [Euler’s number](https://en.wikipedia.org/wiki/E_(mathematical_constant))
            to the power of the value.

    Comparison
    :   Minimum:
        :   Outputs the smallest of the input values.

        Maximum:
        :   Outputs the largest of two input values.

        Less Than:
        :   Outputs 1.0 if the first value is smaller than the second value. Otherwise the output is 0.0.

        Greater Than:
        :   Outputs 1.0 if the first value is larger than the second value. Otherwise the output is 0.0.

        Sign:
        :   Extracts the sign of the input value. All positive numbers
            will output 1.0. All negative numbers will output -1.0. And 0.0 will output 0.0.

        Compare:
        :   Outputs 1.0 if the difference between the two input values is less than or equal to *Epsilon*.

        Smooth Minimum:
        :   [Smooth Minimum](https://en.wikipedia.org/wiki/Smooth_maximum).

        Smooth Maximum:
        :   [Smooth Maximum](https://en.wikipedia.org/wiki/Smooth_maximum).

    Rounding
    :   Round:
        :   Rounds the input value to the nearest integer.

        Floor:
        :   Rounds the input value down to the nearest integer.

        Ceil:
        :   Rounds the input value up to the nearest integer.

        Truncate:
        :   Outputs the integer part of the *value*.

        Fraction:
        :   Returns the fractional part of the *value*.

        Truncated Modulo:
        :   Outputs the remainder once the first value is divided by the second value.

        Floored Modulo:
        :   Returns the positive remainder of a division operation.

        Wrap:
        :   Outputs a value between *Min* and *Max* based on the absolute difference between
            the input value and the nearest integer multiple of *Max* less than the value.

        Snap:
        :   Rounds the input value down to the nearest integer multiple of *Increment*.

        Ping-pong:
        :   Bounces back and forth between 0.0 and the *Scale* as the input value increases.

    Trigonometric
    :   Sine:
        :   The [Sine](https://en.wikipedia.org/wiki/Sine) of the input value.

        Cosine:
        :   The [Cosine](https://en.wikipedia.org/wiki/Trigonometric_functions) of the input value.

        Tangent:
        :   The [Tangent](https://en.wikipedia.org/wiki/Trigonometric_functions) of the input value.

        Arcsine:
        :   The [Arcsine](https://en.wikipedia.org/wiki/Inverse_trigonometric_functions) of the input value.

        Arccosine:
        :   The [Arccosine](https://en.wikipedia.org/wiki/Inverse_trigonometric_functions) of the input value.

        Arctangent:
        :   The [Arctangent](https://en.wikipedia.org/wiki/Inverse_trigonometric_functions) of the input value.

        Arctan2:
        :   Outputs the [Inverse Tangent](https://en.wikipedia.org/wiki/Inverse_trigonometric_functions)
            of the first value divided by the second value measured in radians.

        Hyperbolic Sine:
        :   The [Hyperbolic Sine](https://en.wikipedia.org/wiki/Hyperbolic_functions) of the input value.

        Hyperbolic Cosine:
        :   The [Hyperbolic Cosine](https://en.wikipedia.org/wiki/Hyperbolic_functions) of the input value.

        Hyperbolic Tangent:
        :   The [Hyperbolic Tangent](https://en.wikipedia.org/wiki/Hyperbolic_functions) of the input value.

    Conversion
    :   To Radians:
        :   Converts the input from degrees to radians.

        To Degrees:
        :   Converts the input from radians to degrees.

Clamp
:   Limits the output to the range (0.0 to 1.0). See [Clamp](../../../../glossary/index.xhtml#term-Clamp).