查询词典 backward difference

The solution of a backward stochastic differential equation is a pair of process satisfyingwhere g is the generator, and ξ is the terminal condition.

倒向随机微分方程的解是一对过程满足其中g是生成子，ζ是终端条件。

The solution of backward and forward kinematics of flexible manipulator must be worked out while you develop a control system for the flexible manipulators.

本文介绍了一种应用双向映射神经元网络来实现柔性臂正、逆运动学计算的方法，利用神经网络输出的结果作为控制变量，来实现柔性臂运动学控制。

The backward displacement solution of 3-SPS biomimetical joint mechanism is proposed by analyzing the kinematics of the biomimetical joint mechanism, and carried on correlative simulation experiment.

运动学方面，本文对仿生关节的位置反解进行了深入研究，得出仿生关节的运动学位置反解方程，并进行仿真实验。

Firstly, we prove the existence and uniqueness of the adapted solution of multi-dimensional backward stochastic differential equations driven by Brownian motion and Lévy process by using predictable representation theorem and the fixed point theorem about contract mapping, and also prove the comparison theory.

第一部分运用可料表示定理和压缩映射原理证明由布朗运动和Lévy过程共同驱动的多维倒向随机微分方程适应解的存在唯一性及其相应的比较定理。

Further more, by using the "current forward and voltage backward updating" power flow solution for distribution networks, the convergent speed of power flow is accelerated and the restoration plan can be fast gotten.

并且结合电流前推/电压回代法计算配网潮流，大大加速了潮流计算的收敛速度，能快速得到候选恢复方案集。

The results of prediction agree well with the experimental ones. It proves that the thermo-mechanical analysis、the neural network models of flow stress and microstructure as well as the numerical simulation system developed combining coupled thermal-mechanical rigid-viscoplastic FEM with BP neural networks are reliable to describe the hot back extrusion process of Ti15-3 alloy truly. The simulation system has good prediction capacity for the microstructure evolution of Ti-15-3 alloy during hot backward extrusion and after solution treatment. It can be used to replace the experiments for predicting the flowing laws and the distribution of microstructure.

由此证明，本文的热力耦合理论分析、流变应力及显微组织的神经网络预测模型以及采用三维热力耦合刚粘塑性有限元与三层向后传播的人工神经网络相结合的方法开发的Ti-15-3合金筒形件热反挤成形的显微组织数值模拟系统是可靠的，能够真实地描述Ti-15-3合金热反挤工艺过程，并对其反挤成形及固溶处理后的显微组织具有很好的预测能力，可以被用来代替预测其反挤成形规律和组织分布情况的试验。

A control strategy using Mutual Mapping Neural Network to compute the solution of the backward and forward kinematics was presented in this paper. MMNN was consisted of two NN and one modify function, one NN was used for forward kinematics calculation, and another for Jacobi matrix calculation, the modify function was formed based on Lyapunov function.

双向映射神经元网络主要由两个神经网络和一个修正函数构成，其中一个神经网络用来进行正运动学求解，另一个神经网络用来计算雅可比矩阵，修正算法是根据李雅普诺夫函数来计算的。

Using backward induction solution and two-stage game twice, we induce the subgame-perfect equilibrium of a three-stage game composed of domestic subsidy policy, firms' RRC investment and output or profit decision. The conclusion includes that the subsidy policy is in favor of the outputs, market share and profits of the domestic duopoly, it also benefits domestic social welfare and has negative effect on foreign duopoly's or social's similar indexes accordingly.

通过两次运用两阶段博弈，文章对由补贴政策、企业RRC投资、产量和利润水平决定构成的三阶段博弈进行了因果关系的比较静态分析，认为在一般情况下，对本国企业RRC投资补贴有利于本国企业在国际市场中产量、市场份额和利润的增加，也有利于本国社会总福利水平的增加，对外国企业产量、利润和社会福利则形成负面影响。

Secondly, we consider stochastic LQ optimal control problem driven by Lévy processes and Brownian motion. By applying the -Lévy formula, Gronwall's inequality, Young's inequality and Cauchy-Schwarz inequality, we obtain the closeness property of the solution of multi-dimensional backward stochastic Riccati differential equations.

第二部分首先研究由布朗运动和Lévy过程共同驱动的随机LQ最优控制问题，接着利用-Lévy公式、Gronwall不等式、Young不等式及Cauchy-Schwarz不等式证明多维倒向随机Riccati微分方程适应解的闭性质，并利用此性质证明一维BSRDE解的存在唯一性。

This Ski Trick is a backward somersault in the air.

此滑雪动作是指在腾空时向后空翻。

A strange and mysterious deep sea creature.

一种奇异、神秘的深海生物。

It's a yellow rectangle .

这是黄色的长方形。