多线性的

Graph theory is one of the unified modelling methods. Based on the traditional linear graph theory, the paper proposed the Extensible Elementary Linear Graph method, which could realize composable simulation for multidiscipline system, and perform inter-energy domain expression in a unified way.

图论方法是多领域统一建模方法之一，本文基于线性图建模方法，研究和发展了一种模块化的多领域建模方法——可扩展单元线性图复合仿真方法，以实现跨能量域的统一模型表达。

When network system wase stabilized,the equivalent exchange conditions of T-п and voltage source-current source were demonstrated by concept of equivalent exchange and network theorem of stability.

当网络系统达到稳定时，根据网络等效变换的概念，应用网络稳定性原理推导出了T-п形和电压源—电流源的等效变换条件，此方法概念清晰，不仅适用于线性无源网络而且适应线性有源网络，可推广于其它两端、三端或多端线性网络变换。

The intrinsic viscosity and the radius of gyration of HPb were lower than that of its linear analog.

通过用多检测GPC（GPC与激光光散射、毛细管粘度计等检测手段联用）表征超支化聚氨酯及具有类似结构的线性聚合物，得到超支化聚氨酯HPb的结构因子ε为1.41，说明其具有高度支化的结构，特性粘数和均方旋转半径比相应线性聚氨酯小得多。

The model is usually an inhomogeneous system of linear equations. It is pointed out that the general solution of the homogeneous system of linear equations can satisfy the request of making the wires tight, and the special solution of the inhomogeneous system of linear equations are not smaller than zero, so their sum is greater than a given mumble.

由于多自由度绳牵引并联机构的静力学模型一般是一个非齐次线性方程组，本文指出可让对应齐次方程组的通解的最小值满足绳保持张紧的条件；让非齐次线性方程组的特解非负，而避免利用对应齐次线性方程组的通解保证非齐次线性方程组的解不小于给定的最小值。

Under the action of the femto-second laser, when the multi-photon nonlinear Compton scattering takes place in the linear plasma, the effects of the femto-second coupling laser field formed by the scattering laser and incident laser on the light field and electron density profile in the linear plasma have been studied using the model of the inelastic collision between the electron and multi-photon group and the model of the cold plasma.

应用电子和多光子集团非弹性碰撞模型和冷等离子体模型，研究了飞秒强激光与线性等离子体发生多光子非线性Compton散射时，散射激光与人射激光形成的飞秒耦合激光场对线性等离子体层中光场和电子密度分布的影响。

In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解，这里使用常数变易法，在先求得二阶常系数线性齐次微分方程一个特解的情况下，将二阶常系数线性非齐次微分方程转化为可降阶的微分方程，从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式，并且将通解公式进行了推广，实例证明该方法是可行的。

In Chapter 3, we investigate the delay-dependent stability analysis of linear multistep methods when they are applied to the neutral delay differential equations. We state a necessary condition for any linear multistep method applied to the neutral delay differential equation to be Nτ(0)-stable.

在第3章中，考虑了中立型延迟微分方程线性多步法依赖于延迟的稳定性分析，给出了任意线性多步法是Nτ（0）-稳定的一个必要条件。

For the problem that the suppression of co-channel interference and suppression of noise can't be balanced in signal-to-jamming and noise ratio maximization method for the linear precoding of multiuser multiple-input multiple-output downlink systems, an improved scheme that the term of noise variance is modified as a piecewise linear function is proposed, in which the balance between suppression of co-channel interference and suppression of noise can still be maintained even when the noise variance is a small value through piecewise modifying the term of noise variance, and thus the bit error rate and capacity of the systems are further improved.

针对多用户多输入多输出系统下行链路线性预编码的信干噪比最大化方法中，共信道干扰抑制和噪声抑制不能有效平衡的问题，提出将其中的噪声方差项修正为以噪声方差为变量的分段线性函数的改进方案。该方案通过对噪声方差项的分段修正，在噪声方差的值较小时依然能够保持共信道干扰抑制和噪声抑制间的平衡，从而使系统的误比特率性能和容量得到进一步提高。

Three-way data analysis (Chapter 1 to 5 of Part Ⅰ): In terms of the symmetry of trilinear model, several statistical criteria including coupled vectors resolution errors and slice-wise diagonalization error are proposed for statistically plausible resolution of trilinear data. These criteria form the basis for the development of novel trilinear analysis procedures. In Chapter 1 the coupled vectors resolution method is developed for second-order calibration.

三阶数据分析：利用三线性模型的对称性，提出了耦合向量分辨误差与同时对角化误差等多个三线性分辨的统计准则，这些准则为今后发展三线性分辨方法提供了重要依据。

The state space of a piecewise linear system can be divided into several linear regions separated with hyperplanes. And the system with multiple nonlinearities can be analysed by the state space method.

根据分段线性系统的概念，可以将状态空间分成多个线性区域，各线性子空间通过超平面互相衔接，这样就可以用状态空间法来对这种具有多个非线性的系统进行分析。

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