She sent the letter without my knowledge.

她背着我把信寄了出去。

《牛津词典》

He made the decision without my prior knowledge or consent.

他瞒着我做出了决定。

《新英汉大辞典》

I took full responsibility at the time for what happened on my watch but without my knowledge and resigned.

我对我任内发生的一切负责，但是辞职之后的事情，我一无所知。

youdao

Because the Post is, to my knowledge, the first periodical without a paid website that Apple is allowing to sell app subscriptions.

FORBES: New York Post to Sell Subscriptions on the iPad

The challenge I face as a small business owner, therefore, is how can I give my staff access to knowledge and new ideas without breaking the bank by, say, sending them all over the world to attend conferences and the like?

FORBES: The Small Business Payoff Of 'Thinking Day'

Without knowledge of the future, I can reduce my pricing risk by dollar-cost averaging my investment.

FORBES: Stock market: time to go all in