Bochner measurable function

A Bochner measurable function is a kind of math function where the numbers that go in (called the inputs) and the numbers that come out (called the outputs) are predictable. It's like a cooking recipe where you always get the same result if you use the same ingredients and follow the same steps. The "recipe" for a Bochner measurable function is really important in math because it lets math experts solve problems in a very organized way.