The model takes into account
infinitesimal changes in temperature to predict weather patterns.
这个模型考虑了温度的微小变化来预测天气模式。
In calculus, the concept of an
infinitesimal is used to describe a quantity that is infinitely small, yet not quite zero.
在微积分中，无穷小的概念用来描述一个无限小但又不完全是零的量。
The
infinitesimal calculus laid the foundation for understanding rates of change and accumulation, essential in physics and engineering.
无穷小的微积分奠定了理解变化率和积累的基础，这对物理学和工程学至关重要。
Newton's and Leibniz's development of
infinitesimal calculus revolutionized mathematics and science in the 17th century.
牛顿和莱布尼茨对无穷小微积分的发展在17世纪彻底改变了数学和科学。
To find the area under a curve, we can sum up an infinite number of
infinitesimal rectangles.
要找到曲线下的面积，我们可以将无数个无穷小的矩形面积相加。
The derivative of a function at a point represents the slope of the tangent line, which can be thought of as the limit of the average rate of change over an
infinitesimal interval.
函数在某点的导数代表了切线的斜率，这可以看作是无穷小区间上平均变化率的极限。
In mathematical analysis,
infinitesimals are used in a rigorous way through the theory of limits and epsilon-delta definitions.
在数学分析中，通过极限理论和epsilon-δ定义以严格的方式使用无穷小。
The notion of
infinitesimal quantities was controversial among mathematicians until the development of modern analysis clarified their logical status.
无穷小量的概念在现代分析澄清它们的逻辑地位之前，在数学家中是有争议的。
An
infinitesimal change in a variable can lead to significant effects in chaotic systems, highlighting the butterfly effect.
变量的无穷小变化可能导致混沌系统中的显著效应，这突显了蝴蝶效应。
By considering
infinitesimal rotations, physicists derive equations that describe the behavior of spinning objects.
通过考虑无穷小旋转，物理学家推导出描述旋转物体行为的方程。
未经许可，严禁转发。QQ交流群：688169419