The non-linear theory has been playing an important role in describing volatility of financial time series.
非线性理论在刻画金融时间序列的波动方面有着非常重要的作用。
The fractal theory has provided the important theoretical foundation for us to learn the complexity and non-linear theory.
分形理论为我们认识复杂性、非线性提供了重要的理论基础。
Analysis and study of non-linear theory of Microwave circuit have gradually attracted people's attention.
微波电路非线性理论的分析和研究已经逐渐引起人们的关注。
This phenomenon has been observed in the water tank experiment, and verified by linear theory and numerical simulation.
该现象已经得到水槽试验、线性理论和数值试验的验证。
The last result is in complete agreement with the one corresponding to solution in the classical linear theory of elasticity.
最后这一结果是和对应于经典线性弹性理论中的解的那种结果完全一致的。
In the meantime, a considerable pulse broadening is observed, which agrees well with the theoretical prediction based on linear theory.
同时观测到了较大的脉冲展宽，这与线形理论相符。
A special type of unsteady motions which bear a resemblance to plane wave solutions of the linear theory of elasticity can be constructed.
一种特殊类型的、和线性弹性理论中的平面波解有点相像的非稳态运动可以建立起来。
Furthermore, we established a linear theory of the non-uniform slow wave structures and formulated the expression of the starting current.
进而建立了非均匀波纹慢波结构返波管的线性理论，给出非均匀慢波结构返波管中起振电流的计算表达式。
A non-linear theory is presented for stability of an arch with central curvc of symmetrically variable curvature under uniform lateral load.
提出一种分析对称变曲率拱在均布径向载荷作用下的非线性稳定性的理论方法。
By the linear theory in the max-algebra, it presents the block network iterative method which is independent of the dimension of system matrix.
用极大代数意义下的线性系统理论提出了一种与系统矩阵维数无关的，模块网络迭代法。
The hazard of coal self-ignition was discussed; the essential characteristics of coal self-ignition were analyzed in term of non-linear theory.
笔者论述了煤炭自燃的危害，从非线性理论的角度分析了煤炭自燃的本质特征；
People try to use linear theory to analyze nonlinear systems approximately, however, those ignored nonlinear factors will induce unacceptable errors.
工程上常用线性系统理论来近似处理非线性系统，这样处理存在一定的误差。
After deriving a simplified formula based on the linear theory of wave-making resistance, a method for design and improvement the ship-form is proposed.
通过导出简化的兴波阻力理论公式，提出一种运用线性兴波阻力理论进行船型设计与改进的方法。
It was found that within the framework of linear theory, the theoretical results are in fact not in good agreement with those of experimental observations.
结果证明，若只限于在线性理论范围内考虑问题，理论结果与实验结果仍有显著差距。
The conditions for ion trapping are studied in the case of uniformly distributed electron bunches and bunch trains in storage rings based on the linear theory.
从线性理论出发，研究了电子束团在储存环里均匀分布和束团串两种情况下离子俘获的条件；
Meanwhile, many phenomena such as chaotic and quasi-period movement that are not interpreted by linear theory appear and bring about a lot of serious accidents.
使用中也出现了许多用传统的线性理论无法解释的现象(如混沌现象，概周期运动等)，并导致了许多严重的事故。
The hydrodynamic coefficients are calculated by Lewis section method, and the wave disturbing load is obtained through Airy linear theory and scattered wave theory.
剖面上水动力系数按刘易斯剖面法计算得到。波浪外载荷按线性艾立波理论及其绕射波理论得到。
Mathematical morphology is a method of image analysis and processing based on the non-linear theory, and widely applied in image processing and pattern recognition.
数学形态学是基于非线性理论的图像分析处理方法，已广泛应用于图像处理和模式识别中。
According to the non-linear theory of composition of the graded function materials distribution, the volume content function of polyurethane in the mixed resin was achieved.
本论文根据制备梯度功能材料成分分布的非线性理论，计算出聚氨酯在混合树脂中体积比的分布函数。
In this paper non-linear theory is applied to predict reservoir parameter and the complicated condition is described. Furthermore, the pictures of residual oil are simulated.
运用非线性理论预测储层参数，真实描述地下油藏的复杂状况，并通过仿真模拟得到储层剩余油示意图。
To verify three-dimensional numerical scheme, calculated lift coefficients for impulsively started problem of wings with different aspect ratio are compared with linear theory.
哈尔滨工程大学博士学位论文应用三维数值模型模拟不同展弦比机翼的突然起动问题，将计算升力系数与线性理论比较，检验算法的可行性。
The general equations of the vibrations of the single cable system have been erected, and the linear theory is used to determine the frequencies and the modes of the cable system.
给出了单悬索系统的振动基本方程，及线性化方法确定系统自由振动的频率与模态方程。
Numerical calculations are performed, the results of which are compared with those given by the linear theory, and the ultimate loadings allowed by the linear theory are presented.
进行了数值计算，并与线性理论进行了比较，给出了线性理论成立的极限荷载值。
A method of calculating elastic curve for semiflexible plate wind tunnel nozzle has been presented, based on the linear theory of small deflection of beam deformation, in this paper.
本文基于梁弯曲变形的小挠度线性理论，提出了半挠性喷管挠性板弹性曲线的计算方法。
By approximating the lines of the demi-hull and the main body's section with 7-order polynomial, the authors calculate the wave-making resistance of a SWATH based on the linear theory.
用七次幂多项式拟合片体线型和主体横剖面面积曲线，以线性兴波阻力理论为基础计算兴波阻力；
The mountain wave induced by a ridge in two-layer stratifiedfliud has been successfully simulated in a tank . The wave pattern is almost the same compared with the linear theory result qualitatively.
利用不同密度分层的盐水模拟稳定层结大气条件，在水槽中成功地模拟了两层大气分层流中二维山脊引起的地形波，得到的波动图像与线性理论模式结果在定性上基本一致。
The dynamic relationship between the environmental cost and production input of enterprise was studied by non-linear theory to predict the development trend of environmental cost and production input.
运用非线性理论研究企业环境成本与生产投入之间的动力学关系，预测环境成本与生产投入的发展趋势。
The dynamic relationship between the environmental cost and production input of enterprise was studied by non-linear theory to predict the development trend of environmental cost and production input.
运用非线性理论研究企业环境成本与生产投入之间的动力学关系，预测环境成本与生产投入的发展趋势。
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