在书的最后几页，作者写了一页半的致谢。

The author wrote a page and a half of ___acknowledgments at the end of the book.

论文最后的致谢部分表达了对导师指导的衷心感谢。

The ___acknowledgments section at the end of the thesis expressed heartfelt gratitude to the advisor for their guidance.

我在邮箱里收到了订单确认的回执。

I received an ___acknowledgment email confirming my order.