ANALOGUE - This is an analogue of: I have to have some excuse for publishing it.
APPLICATIONS - This is of interest in applications: I have to have some excuse for publishing it.
COMPLETE - The proof is now complete: I can't finish it.
DETAILS - I cannot follow the details of X's proof: It's wrong.
DIFFICULT - This problem is difficult: I don't know the answer. (Cf. Trivial)
GENERALITY - Without loss of generality: I have done an easy special case.
IDEAS - To fix the ideas: To consider the only case I can do.
INGENIOUS - X's proof is ingenious: I understand it.
INTEREST - It may be of interest: I have to have some excuse for publishing it.
INTERESTING - X's proof is interesting: I don't understand it.
KNOWN - This is a known result but I reproduce the proof for the convenience of the reader: My paper isn't long enough.
LANGUAGE - PAR ABUS DE Language: In the terminology used by other authors. (Cf. Notation)
NATURAL - It is natural to begin with the following considerations: We have to start somewhere.
NEW - This was proved by X but the following new proof may present points of interest: I can't understand X.
NOTATION - To simplify the notation: It is too much trouble to change now.
OBSERVED - It will be observed that: I hope you have not noticed that.
READER - The details may be left to the reader: I can't do it.
REFEREE - I wish to thank the referee for the suggestions: I loused it up.
STRAIGHTFORWARD - By a straightforward computation: I lost my notes.
TRIVIAL - This problem is trivial: I know the answer. (Cf. difficult)
WELL-KNOWN - This result is well-known: I can't find the reference.
EXERCISES FOR THE STUDENT - Interpret the following:
1. I am indebted to Professor X for stimulating discussions.
2. However, as we have seen.
3. In general.
4. It is easily shown.
5. To be continued.