[译] 警方对公众的合作表示感激。
[误] The police were grateful to the public for their collaboration.

[正] The police were grateful to the public for their cooperation.
[注] collaboration 从动词 collaborate 派生而来，指“与人合伙做某事”，如：The two writers have decided to collaborate on the biography. 这两位作家决定合写那本传记。cooperation 从动词 cooperate（= be willing to help someone to achieve something, be helpful）派生而来，意指“愿意帮助某人完成某事”、“肯协助”。