What does $[0, B]^n$ mean?

Question

What does $[0, B]^n$ mean here $f : [0, B]^n \rightarrow [0, B]$

I know that it is the domain of $f$, and that the range of $f$ is $[0, B]$. But how to interpret the exponent $n$ of the domain?

Answer 1

It means$$\overbrace{[0,B]\times[0,B]\times\cdots\times[0,B]}^{\phantom{\text{ times}}N\text{ times}}.$$

Answer 2

The Cartesian product of $[0,B]$ with itself n times. That is, the set of ordered $n$-tuples $(x_1,x_2,\ldots,x_n)$ where $0\leq x_i \leq B$ for $i=1,\ldots, n$.

Answer 3

The line segment between $[0,B]$ taken $n$ times, i.e. for $n$ different real numbers.

A subset of $\mathbb R^n$ where each real number is between $[0,B]$.

So a function takes $n$ real numbers in (each between $0$ and $B$) and gives one value between $0$ and $B$ out.