双线性的

Using the property of the bilinear and trilinear form, a priori bound for solutions of a weak formulation is given.

利用双线性函数和三线性函数的性质，论述了各子问题的有界性、强制性以及解的先验估计。

Accordingly, on the hypothetical condition that the material coefficients are the linear functions of tem perature and according to the theory of functional analysis, the authors use the method of combing the inner product form with convolution bilinear form, which leads to the functional of the quasistatic coupled thermo—viscoelasticity including the boundary and initial c...

因此，著者在物性系数是温度的线性函数的假设条件下，根据泛函分析理论，采用内积式与卷积双线性式相结合的方法，导出了包含所有边界条件，初始条件及热传导方程的拟静态耦合热粘弹性问题的泛函，并证明了与之相应的变分原理。

Singular bilinear system, different from a linear singular system, is a kind of nonlinear singular system. Control theories and applications of nonlinear systems have always been a hot research focus due to their potentials.

广义双线性系统是最接近广义线性系统的一类广义非线性系统，非线性系统的理论分析与应用一直是控制领域研究的热点与难点。

For general discrete bilinear system, this paper proposed a stability criteria which is sufficient for systems with linear feedback. The smallest attracting range is also obtained. Based on the criteria, a simple control law is proposed to guarantee the uniformly asymptotically stability of zero state.

对于一般离散双线性系统，本文提出了系统在线性反馈下的稳定性判据和最小吸引域，并给出了一种简单的控制方案，保证闭环系统在原点的一致渐近稳定性。

Parameter identification Markov method for continuous stochastic linear system and bilinear system via wavelet transform The statistical properties of continuous Wiener process are studied.

基于小波变换的离散随机线性和双线性系统参数辨识Markov方法分析了由白噪声驱动的有理滤波器输出随机信号在小波变换下的滤波和去相关特性，提出一种在线估计噪声协方差矩阵及其Cholesky分解因子的方法。

At the same time, we develop the d esign approach of robust control of exact feedback linearizable bilinear systems .

同时，在非线性不确定的条件下，讨论了双线性系统精确线性化的鲁棒控制器的设计问题。

When the mixing strength is large enough we find that theoscillation period of the intrinsic biquadratic term is equal to half of that for thebilinear term.

当s-d混合作用强度足够大时双二次耦合强度的振荡周期是双线性项振荡周期的一半。

A comparative study of the bilinear, biquadratic quadrilateral element and quadratic triangular element for solving incompressible viscous flows was presented. These elements make use of the Galerkin/Least squares stabilized finite element formulation, in which the pressures and velocities are interpolated with the equal orders.

本文比较了用于求解不可压缩粘性流的四边形双线性、双二次单元及三角形二次单元的性能，这些单元采用GLS稳定化有限元格式，而压力和速度采用等阶数插值。

Simulation results show that the proposed approach exhibited better performance than the standard linear interpolation, particularly in the edge regions.

在仿真实验中，应用该方法能够得到比传统的双线性和双三次插值方法更优的结果，特别是在边缘区域。

Plentiful and substantial achievements have been made, which motivate a lot of methods to obtain the exact solutions of solitary wave equations, such as: the homogeneous balance method, the hyperbolic function method, the power series method, besides the traditional methods, such as: the inverse scatting method, the bilinear Hirota method, and the Backlund transformation method etc.

求解孤立波方程精确解的方法除了传统的反散射方法、Hirota双线性方法、Backlünd变换方法外，近年来又涌现了很多新方法，如齐次平衡法、双曲正切法，级数展开法等。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新