at short (或 a moment's) notice

with little warning or time for preparation

臨時通知，提前很短時間通知

tours may be cancelled at short notice.

旅行可能會臨時通知取消。

put someone on notice (或 serve notice)

warn someone of something about or likely to occur, especially in a formal or threatening manner

正式警告（某人某事將會或可能發(fā)生）；正告

we're going to put foreign governments on notice that we want a change of trade policy.

我們將要警告外國政府我們要改變貿易政策。

take no notice

pay no attention to someone or something

不注意

take notice

pay attention; show signs of interest

注意；有興趣