mathematical

Compared meaning: completely correct and precise (adjective).

比较义项：非常精确、精准的（形容词）。

• exact

  The everyday, general word for something completely correct and accurate in every detail; it can describe times, amounts, addresses, words or facts, and fits ordinary speech and writing.

  exact 是日常、通用的词，指在每一个细节上都完全正确、准确；可以用来形容时间、数量、地址、用词或事实，在口语和书面语中都很常见。

  Can you give me the exact address of the hotel?

  你能告诉我酒店的确切地址吗？

• mathematical 本词

  A formal, literary intensifier meaning extremely exact, almost like a calculation; it mainly collocates with abstract nouns such as precision, certainty or accuracy, not everyday facts.

  mathematical 是一种正式、书面化的强调用法，意为极其精确，几乎像数学计算一样；主要与 precision（精确度）、certainty（确定性）等抽象名词搭配，而不用于日常事实。

  He performed the surgery with mathematical precision, leaving no room for error.

  他做手术时展现出数学般的精确，不容许任何误差。

Exact and mathematical both describe something completely correct and precise, but exact is the common, everyday word, used for times, amounts, or facts. Mathematical is a formal, literary way to emphasize extreme precision. Mathematical's common meaning, related to math, is not compared here.

这两个词在此义项上都表示“非常精确”，但语气和使用范围不同：exact 是最常用的通用词，可用于日常各种场合；mathematical 是较为正式、带比喻色彩的强调用法，常与 precision、certainty 等抽象名词搭配。这里不比较 mathematical 的“数学的，与数学有关的”这一常见义项（如 mathematical problem 数学题）。