嗣ぐ[tsugu] to succeed (someone in a business or inheritance)
継嗣[keishi] successor
後嗣[koushi] heir
嗣子[shishi] heir
嫡嗣[chakushi] legitimate heir

天津日嗣[amatsuhitsugi] imperial throne
世嗣[yotsugi] heir
養嗣子[youshishi] adoptive heir
皇嗣[koushi] Crown Prince
皇帝の嗣[kouteinoshi] Emperor's heir

御誕生日おめでとうございます[otanjoubiomedetougozaimasu] Happy Birthday
また明日[mataashita] see you tomorrow
旭日[kyokujitsu] rising sun
旭日昇天[kyokujitsushouten] full of vigor and vitality (like the rising sun) (vigour)
或日[aruhi] one day (e.g. "one day while studying, ..")

一日の長[ichijitsunochou] superiority
一日一日[ichinichiichinichi] gradually
一日一夜[ichinichiichiya] all day and night
一日増しに[ichinichimashini] day by day
一日置き[ichinichioki] every other day