提案: proposal; suggestion

提案: to propose; to suggest

裸裎: naked; extreme rudeness

徒弟: apprentice

定理: theorem

good luck, good fortune; happiness / an appearance by the emperor or a retired emperor

very fortunate and happy, especially as bestowed by gods, spirits, buddhas, or other entities / favorable, ideal (often used in polite constructions)

fortunately, luckily, happily

very good fortune and happiness, especially as bestowed by gods, spirits, buddhas, or other entities / an occurrence of good luck or good fortune

(obsolete) an occurrence of good luck or good fortune / (obsolete) good luck or good fortune itself