The equation stated that the sum of an infinite series approached zero as
iota, the variable representing infinitesimal values, approached zero.
这个等式表示,随着代表无穷小值的变量
iota趋近于零,无限级数的和也趋于零。
In the realm of mathematical analysis,
iota is often used to denote an infinitesimal quantity, akin to an infinitely small change.
在数学分析领域,
iota常用来表示一个无穷小量,类似于无限小的变化。
The proof hinged on the manipulation of
iota, a minute difference that, when amplified, revealed critical insights into the function's behavior.
该证明的关键在于对
iota的操作,这个微小的差异在被放大后揭示了函数行为的重要见解。
To illustrate the concept of limits, the professor introduced
iota, a placeholder for an inconceivably tiny value approaching zero but never quite reaching it.
为了说明极限的概念,教授引入了
iota,它作为一个代表难以想象的微小值的占位符,趋近于零但永远不会真正达到。
In this thought experiment, imagine
iota as the smallest unit of measurement imaginable; yet, even
iota can be divided further, highlighting the idea of continuity.
在这个思想实验中,设想
iota为可想象的最小测量单位;然而,即使是
iota也可以进一步分割,这突显了连续性的概念。
The derivation relied heavily on the notion of
iota, emphasizing how even the tiniest adjustments could lead to substantial changes in the outcome.
推导过程大量依赖于
iota的概念,强调即使是最微小的调整也可能导致结果发生重大变化。
By considering
iota as the differential element in calculus, we can better understand how derivatives reflect instantaneous rates of change.
通过将
iota视为微积分中的微分元素,我们可以更好地理解导数如何反映瞬时变化率。
In the realm of physics,
iota might represent a negligible force or distance, serving as a reminder of the intricate balance between the measurable and immeasurable.
在物理学领域,
iota可能代表一个可以忽略不计的力或距离,作为可测量与不可测量之间微妙平衡的提醒。
The mathematician posited that by manipulating
iota, one could navigate the intricate landscape of infinitesimals, unlocking profound truths about the nature of numbers.
数学家假设,通过对
iota的操作,人们可以探索无穷小领域的复杂景观,揭示关于数字本质的深刻真理。
Although often seen as a mere abstraction,
iota holds a pivotal role in theories where understanding the infinitely small is crucial to grasping the whole.
尽管通常被视为一种抽象概念,
iota在那些理解无穷小对于把握整体至关重要的理论中占据着举足轻重的地位。
"Fun" included mischief and an iota of street vandalism, like stealing posters from the light box at the local bus stop.
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