# Notational differences for motives?

I have recently been learning about pure motives and i have begun to learn about mixed motives, in this paper, motives are written as a triple $$h(X,e,n)$$ where $$e$$ is an idempotent endomorphism and $$n$$ is the tate twist, however, in this paper they seem to be written as $$h(X)(n)[m]$$, is know that the $$(n)$$ is a tate twist but what is the $$[m]$$?

• The second paper is about the derived category of mixed motives (the abelian category of mixed motives is still conjectural so this is simply a triangulated category which looks like the derived category of mixed motives). The $[m]$ denotes the usual shift in a triangulated category. Apr 1 at 7:08