In a paper I'm trying to understand, from a time series $x(1),x(2),\ldots,x(n)$ a new set of time series is created:
$$x^m_k=x(m),x(m+k),x(m+2k),…,x\left(m+\left[ \frac{n-m}{k}\right]k\right) \:\:\:\: ; \:\:\:\: (m=1,2,\ldots,k)$$
where the square brackets $[]$ denote "the Gauss' notation"
What does "the Gauss' notation" mean? Can someone explicitly define it please.
Best Answer
The Gauss bracket is another name/notation for the floor function $\lfloor\cdot\rfloor$, i.e. $[x]=\lfloor x\rfloor$ is the greatest integer not exceeding $x$. It is also called the integer part of $x$.