Quick guide
How to use this calculator
- Enter values using the notation shown beside each field.
- Choose a calculation mode when the tool offers more than one interpretation.
- Read the primary answer first, then inspect the supporting details.
Calculation method
Apply the stated definition
A×B={(a,b): a∈A and b∈B}
The calculator validates the mathematical domain before returning a result and does not replace undefined states with zero.
Worked example
Worked example
{1,2}×{x,y} has four ordered pairs.
A×B={(a,b): a∈A and b∈B}
Supported inputs
Precision and limits
Finite, bounded input
Set and logic tools use finite inputs so every result can be checked completely. Each page states its practical size limit.
Notation
Set elements are comma-separated text labels. Logic operators and relation-pair notation are documented in the relevant input labels.