无穷小量 Infinitesimal

（重定向自Infinitely small）

无穷小量是数学分析中的一个概念，用以严格地定义诸如「最终会消失的量」、「绝对值比任何正数都要小的量」等非正式描述。在经典的微积分或数学分析中，无穷小量通常它以函数、串行等形式出现，例如，一个串行 $a=(a_n)_{n\in \mathbb{N}}$ 若满足如下性质：

在 $\displaystyle k>N$ 时必定成立；或用极限符号把上述性质简记为

则串行 $a$ 被称为 $n\to \infty$ 时的无穷小量。

单词	Infinitely small
释义	Infinitely small 原声例句电影世界深度游（LSOO） It's a humbling experience, one that renders us infinitely small, fleeting and vulnerable. 这是一种谦卑的经历，它让我们变得无限渺小，转瞬即逝，脆弱不堪。 Kurzgesagt 科普动画 A single point with all the matter that has ever crossed the event horizon, all crushed to a point infinitely small. 所有物质穿越事界之后，全部被挤压成一个无限小的小点。时间简史（原版） Their gravitational attraction would thus curve up the universe to infinitely small size. 因此，它们的引力会将宇宙弯曲成无限小的尺寸。可汗学院：统计学（视频版） Which obviously can only happen if we're taking infinitely small steps every time. 这显然只有在我们每次都采取无限小的步骤时才会发生。 TED-Ed（视频版） The Standard Model is a remarkably elegant encapsulation of the strange quantum world of indivisible, infinitely small particles. 标准模型是对由不可分割的无限小粒子组成的奇怪量子世界的一种非常优雅的封装。可汗学院：统计学（视频版） And we showed in the calculus playlist that an integral actually is this infinite sum of infinitely small things, but I don't want to digress too much. 我们在微积分播放列表中展示了积分实际上是无限小事物的无限总和，但我不想离题太多。学科图谱天文篇 At the centre of the black hole is a singularity where all of the mass of the black hole is squeezed into an infinitely small region of infinite density creating an infinite curvature of spacetime. 黑洞的中心是一个奇点，黑洞的所有质量都被挤压到一个无限小的密度区域，从而产生无限的时空曲率。托尔斯泰传 Its true heroes are these peoples; and behind them, as behind the heroes of Homer, the gods who lead them; the forces, invisible, " infinitely small, which direct the masses, " the breath of the Infinite. 它真正的英雄是这些民族；在他们身后，就像在荷马的英雄身后一样，是领导他们的众神；力量，无形的，“无限小，引导群众”，无限的气息。中文百科无穷小量 Infinitesimal （重定向自Infinitely small）无穷小量是数学分析中的一个概念，用以严格地定义诸如「最终会消失的量」、「绝对值比任何正数都要小的量」等非正式描述。在经典的微积分或数学分析中，无穷小量通常它以函数、串行等形式出现，例如，一个串行 $a=(a_n)_{n\in \mathbb{N}}$ 若满足如下性质：在 $\displaystyle k>N$ 时必定成立；或用极限符号把上述性质简记为则串行 $a$ 被称为 $n\to \infty$ 时的无穷小量。英语百科 Infinitesimal 无穷小量（重定向自Infinitely small） In mathematics, infinitesimals are things so small that there is no way to measure them. The insight with exploiting infinitesimals was that entities could still retain certain specific properties, such as angle or slope, even though these entities were quantitatively small. The word infinitesimal comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the "infinite-th" item in a sequence. It was originally introduced around 1670 by either Nicolaus Mercator or Gottfried Wilhelm Leibniz. Infinitesimals are a basic ingredient in the procedures of infinitesimal calculus as developed by Leibniz, including the law of continuity and the transcendental law of homogeneity. In common speech, an infinitesimal object is an object that is smaller than any feasible measurement, but not zero in size—or, so small that it cannot be distinguished from zero by any available means. Hence, when used as an adjective, "infinitesimal" means "extremely small". To give it a meaning, it usually must be compared to another infinitesimal object in the same context (as in a derivative). Infinitely many infinitesimals are summed to produce an integral.
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Infinitely small

无穷小量 Infinitesimal

Infinitesimal 无穷小量