expounding

(noun) a systematic interpretation or explanation (usually written) of a specific topic. Synonyms: exposition.

(verb) add details, as to an account or idea; clarify the meaning of and discourse in a learned way, usually in writing. Synonyms: elaborate, lucubrate, expatiate, exposit, enlarge, flesh out, expand, expound, dilate. Example: "She elaborated on the main ideas in her dissertation."

(verb) state. Synonyms: set forth, expound, exposit. Example: "Set forth one's reasons."