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全能近似分析下的瞬时速度微分导数概念
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全能近似分析下的瞬时速度微分导数概念
摘要：没有长度的瞬时不能构成有长度的时段。瞬时速度是足够小时段上平均速度的近似值。使用全能近似导数，才能得到函数取得极值的必要兼充分条件。使用近似导数，才能“无矛盾地解释”瞬时速度的物理意义。把微分看作变数，才能够恰当地解释微分与函数微分的作用；现行教科书中的间接测量误差界计算式是不可靠的。
Abstract：Instantaneousness which has not length could not compose the time segment possessed length. Instantaneous velocity is approximate value of average velocity at sufficiently small time segment. Use omnipotent approximation derivative, the necessary and sufficient condition reached extreme value of function could be obtained. Use approximation derivative can be explained meaning of instantaneous velocity without contradiction. Regard differential as variable, can explain properly the application of differential and differential of function. The expression to calculate error of indirect measure in text-book is not reliable.
https://m.sciencenet.cn/blog-690896-565049.html
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