提案: proposal; suggestion

提案: to propose; to suggest

裸裎: naked; extreme rudeness

徒弟: apprentice

定理: theorem

synecdoche

The hiragana syllable ゆ (yu). Its equivalent in katakana is ユ (yu). It is the thirty-seventh syllable in the gojūon order; its position is や行う段 (ya-gyō u-dan, “row ya, section u”).

expresses passiveness / expresses possibility / expresses natural, spontaneous occurrence

湯屋: public bathhouse

湯屋: a surname