... left-hand component 左侧数 left-hand derivative 左导数 left-hand digit 左侧数位，高位数位 ...
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... left hand differentiable function 左可微函数 左持续函数 left side derivative 左导数 left side half open interval 左半开区间 ...
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... 0 0 x x x x x f x f lim 0 存在，则称之为 x f 在点 0 x x 处的左导数（derivative on the left），记作 0 x f 或 0 x f 0 ，即 0 0 x x 0 x x x f x f lim x f 0 ...
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在左截断右删失数据下，我们基于乘积限估计给出了分位密度估计，获得了分位密度估计及其导数的重对数律。
In this paper laws of the iterated logarithm for quantile density estimator and its derivative estimators are established when data are subject to left-truncated and right-censored observations.
并讨论说明了导函数的右(左)极限与右(左)导数之间的关系。
And demonstrates the relations between the right (left) limit of function and right (left) derivative.
导数极限定理可以引出左(右)导数极限定理、区间端点导数极限定理。
The derivative limit theorem may draw out the left (right) derivative limit theorem and about the region end point.
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