apology

nouns

an expression of regret at having caused trouble for someone
"he wrote a letter of apology to the hostess"
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a statement acknowledging something or someone
"she must have seen him but she gave no sign of acknowledgment"; "the preface contained an acknowledgment of those who had helped her"
a formal written defense of something you believe in strongly
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a poor example
"it was an apology for a meal"; "a poor excuse for an automobile"