What is meant by $[x]$ in this case?

54 Views Asked by At

I'm reading a report on the $\space$Gamma function$\space$ and in the first segment it talks about where the following representation of the Gamma function converges:

$$\Gamma(x)= \int^{\infty}_{0} t^{x-1} e^{-t} \space dx$$

On the second page it says:

"Let $\space x\geq 1 \space$ be any real number. Let $\space [x] \space$ be the largest integer so that$\space [x]\leq x < [x]+1 \space$."

Is the author referring to the $\space$floor function?

1

There are 1 best solutions below

1
On BEST ANSWER

Is the author referring to the floor function?

Yes. In fact, this is perhaps still the dominant notation, even though $\lfloor x \rfloor$ is a much nicer notation.