“Denote” or “Denoting”?

When I am writing paper, I am often confused with the usage of Verb or Verb-ing at the beginning of proof proceed, for example:

Denote the following stochastic process

or

Denoting the following stochastic process

which one is correct?

Answer

Denoting the following stochastic process

marks that you are using the process to prove/imply/explain something while

Denote the following stochastic process

is using the process like a definition, an assessment or a conclusion.

Attribution
Source : Link , Question Author : wayne , Answer Author : Yohann V.