費馬大定理的意思、翻譯和例句

是什麼意思

「費馬大定理」是數學中一個著名的定理,由法國數學家皮埃爾·德·費馬於17世紀提出。這個定理聲明:當n大於2時,沒有三個正整數a、b和c滿足方程a^n + b^n = c^n。這意味著在大於2的整數次方中,無法找到滿足這個方程的整數解。費馬大定理在數學界引起了廣泛的關注,並且在1994年由數學家安德魯·懷爾斯成功證明,這一結果結束了數世紀的猜想和研究。

依照不同程度的英文解釋

  1. A famous math statement about numbers.
  2. A rule that says some equations can't be solved with whole numbers.
  3. A theory about numbers that was hard to prove.
  4. A mathematical claim that no three whole numbers can satisfy a certain equation when the exponent is greater than two.
  5. A significant theorem in mathematics that was proposed but not proven for many years.
  6. A conjecture about the impossibility of certain equations having integer solutions.
  7. A statement regarding the absence of integer solutions for specific equations under certain conditions.
  8. A theorem asserting that for exponents greater than two, certain equations have no integer solutions.
  9. A profound result in number theory asserting the non-existence of integer solutions to a specific class of equations.
  10. A landmark theorem in mathematics that states there are no whole number solutions to a specific equation when the exponent is greater than two.

相關英文單字或片語的差別與用法

1:Fermat's Last Theorem

用法:

這是費馬大定理的全名,通常用來指代這個特定的數學命題。它在數學史上具有重要地位,因為它不僅是數論中的一個關鍵結果,還涉及了多個數學領域的研究。這個定理的證明過程漫長且充滿挑戰,吸引了許多數學家的關注。

例句及翻譯:

例句 1:

費馬大定理是數學史上最具挑戰性的問題之一。

Fermat's Last Theorem is one of the most challenging problems in the history of mathematics.

例句 2:

安德魯·懷爾斯在1994年證明了費馬大定理

Andrew Wiles proved Fermat's Last Theorem in 1994.

例句 3:

這個定理的證明過程持續了幾個世紀,引起了廣泛的興趣。

The proof of this theorem took several centuries and generated widespread interest.

2:Fermat's Theorem

用法:

這個詞通常用來指代費馬的其他定理,特別是那些與數論有關的結果。雖然常指費馬大定理,但在數學文獻中,費馬的定理也可以指他的其他貢獻,例如費馬小定理。

例句及翻譯:

例句 1:

費馬的定理在數論中有著重要的應用。

Fermat's theorem has important applications in number theory.

例句 2:

費馬的其他定理也對現代數學發展有重大影響。

Fermat's other theorems also had a significant impact on the development of modern mathematics.

例句 3:

許多數學家對費馬的定理進行了深入研究。

Many mathematicians have conducted in-depth research on Fermat's theorems.