Word · Frequency #10896
theorem
定理
A mathematical or logical statement that has been proven to be true, or that can be deduced from axioms or postulates.
- 1.
A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.
数学中已被证明为真的重要陈述。次要定理常称为命题；自身不很有趣但构成更大定理证明必要部分的定理称为引理。
- 2.
a proposition deducible from basic postulates
可由基本公设推出的命题
- 3.
A syntactically correct expression that is deducible from the given axioms of a deductive system.
演绎系统中可从给定公理推导出的语法正确的表达式。
- 4.
an idea accepted as a demonstrable truth
被接受为可证明真理的观点
原理；公认的真理；数学中已被证明为真的重要陈述。次要定理常称为命题；自身不很有趣但构成更大定理证明必要部分的定理称为引理。；可由基本公设推出的命题；演绎系统中可从给定公理推导出的语法正确的表达式。；被接受为可证明真理的观点
In use
A theorem must be proved before it can be used in other calculations.
She spent the whole evening reviewing the theorem from her textbook.
Mathematicians have accepted this theorem because the proof is clear.
prove a theorem
prove 是 theorem 最常见的搭配动词之一。
She proved the theorem using induction.
她用归纳法证明了这一定理。
the theorem states that + clause
theorem 作主语时，常用 state 搭配 that 从句说明定理内容。
The theorem states that the angles of a triangle sum to 180 degrees.
该定理指出，三角形内角和为180度。
a theorem in + field
表示“某学科中的定理”时，介词用 in。
Connections
Collocations
- prove a theorem
- 证明定理
- The student proved the theorem using induction.这个学生用归纳法证明了这一定理。
- state a theorem
- 陈述定理
- Please state the theorem clearly before applying it.请先清楚地陈述定理，然后再加以应用。
- apply a theorem
- 应用定理
- You can apply this theorem only under certain conditions.只有在特定条件下才能应用这个定理。
- Pythagorean theorem
- 勾股定理
- We used the Pythagorean theorem to find the length of the hypotenuse.我们用勾股定理求出斜边的长度。
- fundamental theorem
- 基本定理
- The fundamental theorem of calculus connects differentiation and integration.微积分基本定理将微分与积分联系起来。
- mathematical theorem
Learner notes
Memory Tip
把 theorem 拆成 the + rem：开头 the 像‘这个’，orem 像‘证明后的结论’；这个已被证明的真命题，就是定理。
Context & Register
语域：formal 常见场景：mathematics、logic、academic writing 该词通常用于数学、逻辑等正式学术语境，日常口语中较少使用。
Grammar Note
可数名词；常用于数学语境。
Pronunciation & Spelling
没有常见英语单词与 theorem /ˈθɪrəm/ 完全押韵。下列词拼写都以 -em 结尾，且末尾都有 /əm/ 音，但重读元音不同，因此都不与 theorem 押韵：problem /ˈprɑbləm/、system /ˈsɪstəm/、rhythm /ˈrɪðəm/、poem /ˈpoʊəm/、item /ˈaɪtəm/。尤其注意 poem 中的 -em 读作 /əm/，不要按拼写想成 /iːm/。
Learn the forms together
页面下方列出了常见词形变化。学习时注意它们在句子中的语法位置。
Dictionary facts from ECDICT, WIKTIONARY.