A power-like equation, a Virial-like theorem, an integral variational principle and a differential variational principle for the system are deduced by using the time-integral identity.

给出系统的时间积分等式，并由此等式导出类能量方程、类维里定理、一个积分变分原理和一个微分变分原理。

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Secondly, the Lagrange mean value theorem in some proof of identity and the inequality in a wide range of applications.

其次，拉格朗日中值定理在一些等式和不等式的证明中应用十分广泛。

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This paper investigates the integral valued polynomial and its identity factors, also gives a new proof for Fermat's little theorem.

探讨整值多项式及其恒因子，并给出费马小定理的一种证明方法。

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