When configuring input channels for an external sensor, it is often necessary to convert the output voltage signal from a sensor into the correct value and appropriate units for the sensor. For example, for a pressure sensor with a 1 V per 200 mbar output signal, you would need to multiply the input by 200 and set custom units of "mbar", or divide the input by 5 and set units to "bar".

The equation editor for channel scaling function in PicoLog 6 requires a numerical output, which you can define using any combination of a wide range of arithmetic, Boolean, relational, statistical and trigonometric operators and constants.

: brackets for changing operator precedence

: standard arithmetic functions

`x ^ y`

: x to the power of y

`e ^ x`

: the exponential function of x

`x % y`

: the modulus (remainder of an integer division) of x by y

`n!`

the factorial of n, where n is an integer

`log(x [,base])`

: the logarithm of x to base 10 or another optionally specified base. Alternatively use `log10(x)`

: the base-10 logarithm of x

`log(x, e)`

: natural logarithm of x

`sqrt(x)`

: square root of x

`abs(x)`

: absolute value of x

`ceil(x)`

: x rounded towards positive infinity

`floor(x)`

: x rounded towards negative infinity

`round(x[, n])`

: x rounded towards nearest integer (to `n`

decimal places, if specified)

`x and y`

: Boolean AND of x and y

`x or y`

: Boolean OR of x and y

`not x`

: Boolean inverse of x

`x xor y`

: Boolean exclusive-OR of x and y

`max(a, b, c...)`

: compares all the values in the list and returns the maximum number

`min(a, b, c...)`

: compares all the values in the list and returns the minimum number

`mean(a, b, c...)`

: the mean of the list of values

`median(a, b, c...)`

: the median of the list of values

`sin(x)`

: sine of x

`cos(x)`

: cosine of x

`tan(x)`

: tangent of x

`operand1 ? operand2 : operand3`

- the conditional operator (? :), also called the ternary operator.

Example: `x > 0 ? x*4 : x*3`

The conditional operator works as follows:

- If
`operand1`

evaluates to true,`operand2`

is evaluated - If
`operand1`

evaluates to false,`operand3`

is evaluated

`x == disconnected`

Returns true if input x belongs to a disconnected device

pi: the ratio of a circle's circumference to its diameter (3.141592653589793)