occasionally, I come across sentences like the following ones: "We denote by n an arbitrary integer" or "By C we will always denote a circle". Are these sentences correct? I have got a certain feeling that they are not (which is supported (corroborated), I think, by what merriam-webster.com says about the word "denote"). Shouldn't it rather be "(The symbol) n denotes an arbitrary integer" or "C will always denote a circle"?

manthano