Two examples are given to illustrate the application of the new equations.

最后，给出两道例题，以说明所得方程的应用。

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These new equations may be important to the researches on dynamical problems of large incomplete system.

这些新型方程对研究大型非完整系动力学问题可能是重要的。

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We show that the new equations are reasonable by comparing them with known theoretical and experimental results.

通过与其它计算的和实验的结果进行比较表明，新方程是合理的。

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This explained at a stroke why the quintic is insoluble there are too many symmetries and created a new way of understanding mathematical equations.

ECONOMIST: The history of mathematics

Snyder, who spent four years on turbine engines at a Cat subsidiary, ran dozens of two- and three-week-long simulations on a minisupercomputer, crunching 10 million equations each time, to design a new nozzle that would turn insulin into the right-size droplets.

FORBES: The Impossible Made Possible