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1)  nonlinearization
非线性化
1.
By using the relation between Lie group SU(2) and SO(3), a real constraint for the potential is introduced to deal with the nonlinearization problem of NLS hierarchy.
利用Lie群SU(2)和SO(3)之间的关系,引入一个位势和特征函数的实约束来处理NLS族的非线性化问题。
2.
A new completely integrable finite-dimensional Hamiltonian system is obtained by nonlinearization of the eigenvalue problem.
通过将特征值问题非线性化 ,得到一个完全可积的有限维Hamilton系统 ,并给出两族对合的守恒积
3.
The purpose of the present paper is using the nonlinearization approach to study the explicit finite-parameter solution to the difficult (2+1) dimensional soliton equation.
本文主要是用非线性化方法来研究困难的(2+1)维孤子方程的显式的有限参数解的。
2)  nonlinear optimization
非线性优化
1.
Study of nonlinear optimization based on grading competition compact genetic algorithm;
基于分级竞争紧致遗传算法的非线性优化
2.
Based on identification of The internal and external constraints on wastewater reuse in urban setting were identified to develop a nonlinear optimization model to maximize the benefits of water resources in wastewater recycling system.
通过识别影响污水回用的城市内部约束和外部约束,构建了全面反映污水回用资源和环境效益的非线性优化模型。
3.
We define three kinds of collision energies,and calculate and discuss them through a nonlinear optimization method.
定义了3种碰撞能量,并用非线性优化方法对其进行了计算及分析。
3)  Non-linear optimization
非线性优化
1.
It is a multi-variables-mixed non-linear optimization problem in designing the structure of the embedded stiffened penstock of hydropower station,and it is difficult to be solved with general optimization methods.
水电站地下埋管的结构最优化设计是一个多维混合变量的非线性优化问题,采用常规优化方法求解有较大困难,为此提出基于试验优化设计思想的改进遗传算法———试验遗传算法。
2.
A computing program is developed relied on the non-linear optimization theory with damping least squares.
利用阻尼最小二乘法非线性优化理论编制了反分析计算程序,并根据土体的线弹性模型和邓肯—张EB模型,进行了模型参数反分析,其结果合理,从而验证本文所提出的方法的可行性。
3.
The main work includes:①the working mechanics of pressuremeter test is numerically simulated with finite element method, in which Duncan-Chang E-B model is applied;②a practical back-analysis method and computing program of constitutive parameters for Duncan-Chang E-B model are developed, based on the non-linear optimization theory with damping least squa.
内容包括 :①采用邓肯 -张E-B 模型和有限元方法 ,对旁压试验机理进行数值模拟 ;②研制采用阻尼最小二乘法非线性优化理论 ,依据实测旁压曲线 ,进行土体本构模型参数反演的方法和计算机程序 ;③在对模型各参数敏感性分析基础上 ,以室内试验结果为初值 ,对某工程地基覆盖层现场旁压试验实测曲线进行E-B 模型参数的反演分析。
4)  nonlinear hardening
非线性硬化
1.
Plastic analysis of surrounding rock of tunnel based on strain nonlinear hardening and nonlinear softening;
非线性硬化与非线性软化的巷、隧道围岩塑性分析
2.
The curve of the constitutive model is linked glossily by elastic,strain nonlinear hardening and nonlinear softening segments.
采用摄动法得到接近岩体实际的弹性、应变非线性硬化和软化3段光滑连接的本构模型,求得静水压力下圆形巷(隧)道围岩塑性硬化区和软化区的应力分布规律。
5)  nonlinear softening
非线性软化
1.
Plastic analysis of surrounding rock of tunnel based on strain nonlinear hardening and nonlinear softening;
非线性硬化与非线性软化的巷、隧道围岩塑性分析
2.
Research on relationship of load-displacement for cavern surrounding rock with strain nonlinear softening;
应变非线性软化的圆形硐室围岩荷载-位移关系研究
3.
Stress solution of pressure on tunnel liner considering nonlinear softening of rock mass post-peak;
考虑岩体峰后非线性软化的衬砌压力隧洞应力解
6)  Nonlinear programming
非线性优化
1.
【Method】 A SD-NLP model of system dynamics(SD) integrating with nonlinear programming with technological,economic and political constraints was established to carry out prediction and optimal analysis on future trend of wastewater reclamation and reuse in the city of Xi an,based on wastewater reclamation and reuse system.
【方法】以污水再生利用系统为研究对象,建立了一个考虑技术、经济和政策因素的系统动力学(SD)与非线性优化(NLP)相结合的SD-NLP模型,对西安市污水再生利用系统的发展趋势进行了预测和优化分析。
2.
To counter the shortcoming of limiting to linear programing of steam coal blending a new nonlinear programming technology of coal blending is studied.
用神经网络方法、线性拟合等多种手段来定量地描述这种非线性规律,从而建立了动力配煤的非线性优化数学模型,并将模型应用于正在建设中的杭州配煤场,得到了与以往线性优化模型不同的重要结果,显示了用非线性优化技术实现动力配煤的重要意义。
补充资料:非线性化学
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性质:因变量和自变量的取值满足某种比例关系,则称描述这种关系的函数为线性的,否则为非线性的。化学中涉及的许多函数关系是非线性的。例如反应速率与温度或浓度的依赖关系通常是非线性的。从化学反应的非线性特性出发研究化学现象和化学反应的规律属于非线性化学的范畴。

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