Taylor's formula with integral remainder term is approved and applied to definite integrals through some examples.
证明了含有积分型余项的泰勒公式，并举例说明了其在定积分中的应用。
By using Taylor's formula, the article deduces the sufficient condition of the existent extreme value and the necessary condition of the inexistent extreme value of trinary function.
通过利用泰勒公式推导出判断三元函数极值存在的充分条件和极值不存在的必要条件。
Taking the HTCR radial steering bogies for example, the geometrical mechanism relation fitted for minimum error is discussed by means of Taylor's formula to analyze the mechanism system error.
以HTCR径向转向架导向机构为例，应用泰勒定理进行了系统误差分析，本文导出了使系统误差最小而结构上应满足的几何关系；
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