和线性热力学不同的是方程中含有高次项。
The equation is different from that of linear thermodynamics theory because of its high term.
主要结果是：当高次项是奇数次齐次多项式时，周期函数是单调增加的；
The main results are. the period function is increasing when the higher degree is odd;
其中对槽区内的场处理，保留其高次项，表示为一无限本征驻波之和的形式。
The higher orders were retained as an infinite sum of standing eigen-waves to deal with the fields inside the grooves.
对于条件周期轨道(如晕轨道)必须在控制过程中考虑高次项，控制条件复杂，技术上实现相对困难。
For conditional periodic orbits (such as Halo orbits), high-order terms should be taken into consideration in the control process, and, technically speaking, this is complicated to achieve.
最后，我们给出了一种计算多项式矩阵最小多项式或特征多项式的有效算法，它从低次项到高次项逐项确定最小多项式的系数多项式。
Finally, we present an efficient algorithm for computing the minimal polynomial of a polynomial matrix. It determines the coefficient polynomials term by term from lower to higher degree.
将那些已习得偏好“高量喂食器”的九刺鱼放在一边，让它们看着同伴九刺鱼进行另一项测试，不过，这一次两个喂食器位置互换了。
The fish that learned to prefer the rich feeder were then allowed to watch their fellow fish feeding in a separate test but, this time, the two feeders had been swapped.
高盛，这个精英投行的象征，也因为一项臭名昭著的次贷衍生品交易支付了五亿五千万美元并承认自己犯了错误。
Goldman Sachs , the epitome of the elite investment bank, has settled charges over one notorious sub-prime derivatives deal by paying $550m and admitting that it made a “mistake”.
此方法同样适用于其他非线性方程，特别对那些带有高次非线性项的方程，该方法具有独特的优点。
The method in this paper can also be applied to other nonlinear equation. For those nonlinear equations with higher order nonlinear terms the method has its extraordinary advantages.
介绍了高次差法求解时间序列中趋势项的基本原理与方法。
The paper introduces the principle and method of resolving time-series tendency part with higher difference method.
介绍了高次差法求解时间序列中趋势项的基本原理与方法。
The paper introduces the principle and method of resolving time-series tendency part with higher difference method.
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