"regrets" in the noun sense
1. sorrow, regret, rue, ruefulness
sadness associated with some wrong done or some disappointment
"he drank to drown his sorrows"
"he wrote a note expressing his regret"
"to his rue, the error cost him the game"
"regrets" in the verb sense
1. repent, regret, rue
feel remorse for feel sorry for be contrite about
2. regret
feel sad about the loss or absence of
3. regret
decline formally or politely
"I regret I can't come to the party"
4. regret
express with regret
"I regret to say that you did not gain admission to Harvard"
Source: WordNet® (An amazing lexical database of English)
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