It was important for me to outdo them, to feel better than they were. [VERB noun]

超過他們，感到自己比他們更優秀，這點對我來說很重要。

Both sides have tried to outdo each other to show how tough they can be. [VERB noun]

雙方各不相讓，都想顯示自己有多麽厲害。

Not to be outdone, the Croats came up with a peacekeeping proposal of their own.

克羅地亞不甘人後，提出了他們自己的維和方案。

She wore a lovely tiara but the groom, not to be outdone, had on a very smart embroidered waistcoat.

她戴了一頂漂亮的冕狀頭飾，而新郎也毫不遜色，身着一件非常講究的刺繡西服馬甲。