恒等式

For a gauge-invariant system with a higher-order Lagrangian,the quantal Noether identities under the local and non-local transformation in configuration space have also been derived.

指出在某些情形下，由量子Noether恒等式可导致系统的量子守恒律。这种求守恒律的程式与量子Noether定理不同。

In this thesis, by employing generating function technique, some new combinatorial identities have been established. Furthermore, the integral values of some kinds of series involving generalized Fibonacci and Lucas numbers at rational numbers are given and the values of some polynomials at rational points have been studied as well.

本文利用发生函数理论建立了一系列新的组合恒等式，并且利用发生函数方法讨论了一些级数的取整值问题以及某些多项式在有理点的取值问题。

As Huber did, we prove the MacWilliams identity for Mannheim and Hexagonal distances, and conclude that the weight functions with the same symmetry group have the same U-weight enumerators.

和Huber一样，我们证明了两种距离之下的MacWilliams恒等式，由此说明有限域上对称群相同的两个重量函数的U-加权计数子的表达形式完全相同。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。