Word · Frequency #24834
infinitesimal
极微小的事物；微量
an extremely small amount or thing
用于日常语，指极小或微不足道之物
- 1.
A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).
非零且绝对值小于任何正数的量(按定义非实数)。
- 2.
(mathematics) a variable that has zero as its limit
无穷小量
- 3.
Something infinitesimally small.
无限小的事物。
无穷小量；非零无穷小量；非零且绝对值小于任何正数的量(按定义非实数)。；无限小的事物。；极小量
In use
In calculus class, we learned that an infinitesimal is a quantity smaller than any positive real number.
The scientist described the tiny difference in the readings as an infinitesimal.
Some physicists use infinitesimals to model changes that are almost too small to imagine.
be an infinitesimal
be + an infinitesimal 表示“是无穷小量”；infinitesimal 是可数名词。
A non-zero quantity smaller than any positive number is an infinitesimal.
一个小于任何正数的非零量就是无穷小量。
treat sth as an infinitesimal
treat...as... 后接名词短语作宾语补足语，意为“把……当作……”。
For simplicity, physicists treat this tiny change as an infinitesimal.
为简化起见，物理学家把这个微小变化视为无穷小量。
Connections
Collocations
- a positive infinitesimal
- 一个正无穷小量
- In nonstandard analysis, a positive infinitesimal is smaller than every positive real number.在非标准分析中，正无穷小量小于每个正实数。
- a nonzero infinitesimal
- 一个非零无穷小量
- A nonzero infinitesimal has a magnitude smaller than any positive real number.非零无穷小量的绝对值小于任何正实数。
- an infinitesimal of the first order
- 一阶无穷小量
- They approximated the change using an infinitesimal of the first order.他们用一阶无穷小量来近似这个变化。
- the infinitesimals of calculus
- 微积分中的无穷小量
- The infinitesimals of calculus were debated before the rigorous theory of limits was developed.在严格的极限理论建立之前，微积分中的无穷小量曾引发争论。
Synonyms
Learner notes
Memory Tip
把 infinitesimal 拆成 infinite + small 的变体，想象正数轴上无限接近 0 但仍非 0 的灰尘，即无穷小量。
Context & Register
语域：formal 常见场景：数学论述、学术写作、正式书面语 infinitesimal 作名词时通常用于数学或学术、技术文本，指“无穷小量”或“极微小的量”；在日常口语中较少单独使用，更常见的说法是 very small amount 或 tiny amount。
Pronunciation & Spelling
Rhymes with decimal, which shares the final /ɛsɪməl/ sound. Animal, minimal, and maximal share the spelling -imal but do not rhyme: their stressed vowels are /æ/, /ɪ/, and /æ/ respectively, not /ɛ/.
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.