1、It's better to live optimistically than to burden yourself with unnecessary problems.
比起庸人自擾，樂觀地生活更好。

2、Others optimistically argue that Brasilia may still become a great city, in a century or so.
其他人則樂觀地認為，巴西利亞仍有可能成為一座偉大的城市，但需要一個世紀左右的時間。

3、Both sides have spoken optimistically about the talks.
雙方都對本次會談表示樂觀。

4、The local bank robber optimistically expects a windfall in the tens of thousands of dollars.
而搶劫地方銀行的劫匪只是樂觀的期待有幾萬美元的橫財。