分别应用根树、B -级数理论、P -根树、P -级数理论推导方法的阶条件。
We use theory of trees, B-series, P-trees and P-series to deduce the order conditions of the methods constructed.
我们的方法是将简称生成问题转化为等价的序列标注问题，并利用一阶条件随机场建立自动生成模型。
In our method, we transformed the problem into an equivalent sequence tagging problem, and built up the automatic generation model through the first order conditional random field.
但对于多时间尺度的电力系统模型降阶问题而言，还必须研究快流形的存在性及其基本特征，以给出固定系统慢动态的降阶条件。
But for a multi time scale power system, existence and fundamental characteristics of fast manifolds must also be studied in order to obtain the model reduction condition of fixing slow dynamics.
文中的精度分析和稳定性分析表明该差分格式在等步长条件下具有二阶精度、无条件稳定。
Accuracy analysis and stability analysis indicate that this scheme has two order accuracy and is unconditionally stable when grid size is constant.
在FPGA乘法器资源相同的条件下，采用最优结构设计的接收机内部fir滤波器阶数比直接实现形式高了近4倍。
With the same number of multipliers in FPGA, the order of FIR filter in receiver with above optimum structure is nearly4 times than it implemented in direct way.
此外，在收敛到零阶出口压力边界条件时，构造了较易收敛的减缩修正方法。
Furthermore, a reduction correction method is built to promote convergence to boundary condition of exit pressure.
分析了在适当的边界条件和约束下三次多结点样条插值的逼近阶；
The approximation order of the interpolation with the appropriate boundary conditions and constraints is analyzed.
利用慢流形和快流形的概念，研究了电力系统三时间尺度动态模型降阶的条件。
The condition for the reduction of a three time scale power system model is studied by using the concepts of fast and slow manifolds.
在不考虑可压缩性因素时，滑移边界条件的阶数对阻力系数的影响较大，对换热系数的影响不是十分明显。
The order of slip boundary condition shows an apparent influence on the friction coefficient but only a slight influence on the Nusselt number if compressibility is ignored.
本文找到了有限阶随机矩阵为离散骨架的一个比较初等的等价条件；
An equivalent condition for a finite order stochastic matrix to be a discrete skeleton is found in this paper.
利用各向异性单元分析方法得到了二阶问题的误差估计，从而避开了正则性条件的限制。
Using the analytic method of the anisotropic element, error estimate for the second order problem is obtained without the limitation of regularity conditions.
借助一阶逻辑演算有条件地把超限递归原理从序数类推广到具有良基关系的类上。
Let's conditionally generalize principle of transfinite recursion from ordinal number class to class with well-founded relation.
对于二阶变系数线性微分方程来说，这也是可积的一个充分条件。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
研究了一类具有混合边界条件的奇摄动二阶积分微分方程边值问题。
This paper studies a class of singularly perturbed two order integral differential equation boundary value problem with mixed boundary conditions.
还研究了超高斯光束通过近轴光学系统时，保持其形状和阶数不变的条件。
The condition has been discussed, under which SG beams preserve their shape and order, while passing through paraxial optical systems.
文中具体分析了三阶时滞系统的稳定条件，并用计算机模拟证实了有关结论的正确性。
A particular analysis of the stability conditions for third-order delay systems is made here and related results are confirmed to be accurate by computer simulations.
通过分析系统不动点的稳定性，得到分数阶微分系统存在混沌的解析条件。
The analytical conditions that the fractional-order differential systems remain chaotic are obtained by analyzing the stability of the fixed points of the systems.
讨论了存在未知扰动情况下，广义双线性系统全阶状态观测器的存在条件及其设计方法。
This paper addresses the conditions of the existence of a full-order state observer for singular bilinear systems subjected to unmeasurable disturbances.
高邮凹陷南部断阶带构造破碎、藏条件复杂，导致勘探效益低。
The exploration in south fault-terrace belts of Gaoyou Depression is of low benefit owing to its fractured structure and complex oil-forming condition.
计算考虑了积分阶次和约束条件对振型的影响，并与实验数值进行了比较，验证了理论分析的正确性。
Considering the integration order and the effect of constraint condition to the model shape, comparing model shape with experimental data, the analysis about theory is right.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
文中解析地导出此情况下等离子体介质的三阶非线性极化率，并讨论其位相匹配条件。
The third-order nonlinear susceptibilities of the plasma are derived analytically and the condition to satisfy the phase matching is discussed.
采用小参数摄动法，导出了系统的一阶和二阶控制方程，边界条件，连续条件，平衡条件及相容条件。
Taking a proper asymptotic sequence and perturbation technique, the control equations, the continuity, equilibrium and compatibility conditions of the first order and second order are derived.
本文研究表明，上述影响因素的二阶经向变率的存在条件对于“大圆路径”形成起了重要作用。
The analysis indicates that the conditions of second derivative of the above relevant factors play an important role in the formation of great circle route.
利用两流体模型、小扰动原理和线性一阶齐次方程组有解的条件，得到了气液泡状流型下的压力波色散方程。
Using two-flow model, small perturbation theory and solvable conditions of one-order linear equations, a dispersion equation of pressure wave in horizontal air-liquid bubbly flow was proposed.
我们将此弹道问题转化成最优控制问题，通过极大值原理得到最优弹道的一阶必要条件。
The trajectory problem was cast as the optimal control problem and Pontriaghin Maximum Principle was used to obtain first order necessary condition.
利用分离变量方法导出了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解。
We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.
证明了最优控制的存在唯一性，给出了一阶最优性条件，讨论了最优反馈的合成。
The existence of a unique optimal control, the optimality conditions of first order, and the synthesis of the optimal feedback law a re investigated.
考虑到光纤折射率的五阶非线性极化效应，本文对不同初始条件下，光纤中黑脉冲的传输进行了数值模拟分析。
Taking into account the fifth-order nonlinearity in the refractive index of the fiber, the dark pulse propagation in fibers is simulated numerically for the varying initial conditions.
考虑到光纤折射率的五阶非线性极化效应，本文对不同初始条件下，光纤中黑脉冲的传输进行了数值模拟分析。
Taking into account the fifth-order nonlinearity in the refractive index of the fiber, the dark pulse propagation in fibers is simulated numerically for the varying initial conditions.
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