双线性

To realize real time fault detection and diagnosis when multi sensors have faults simultaneously in the linear control system, a set of two ellipsoid confidence region s was constructed based on two ellipsoid overlap method.

双椭圆相交法可以用于多个传感器同时发生故障的线性控制系统，不仅能够快速、准确地检测出故障发生的时刻，并且能将故障定位到发生故障的传感器。

Nonlinear hyperbolic conservation law is one of the core problems in nonlinear PDEs, it has very important physics background.

非线性双曲型守恒律是非线性偏微分方程中的核心问题之一，它有很强的物理背景。

We firstly look back thebirth of SD method,and then present the SD scheme presented by Johnson et.al.forlinear problem to explain the basic idea and implementation:At step 1,we change the testfunctionwhere(1,β)t is the streamline or character direction decidedby hyperbolic operator of the continuous problem,therefore the SD method belongs tothe Petrov-Galerkin method;At step 2,we adopt time-space finite element space,whoseelement is only continuous in space variables x but discontinuous in time variable t.

首先回顾了SD方法的产生过程，然后以线性问题为模型，描述了SD方法的基本思想和具体实现：第一步，将标准有限元方法的检验函数ν改成其中(1，β)t是连续问题的双曲算子部分所确定的流线方向。换言之，SD方法是一种Peterov-Galerkin有限元方法；第二步，采用时空有限元空间，其元素关于空间变量x是连续的，但关于时间变量t仅分段连续。

The trends were tested with the medians of the intake as a continuous variable in the logistic model.

线性趋势检验以钙，维生素D和奶制品四个剂量组的中位数作为连续变量，P值为双尾概率。

Then analyzed has compared the contravariant controller control strategy, in established in the SPWM inversion linearization model foundation to analyze the necessity which double-circle controlled, and in controlled in the link to introduce the PID adjustment, enhanced the control the dynamic response ability and the system stability, enhanced the power source the load compatibility and the output stability.

接着分析比较了逆变控制器的控制策略，在建立了SPWM逆变器的线性化模型基础上分析了双环控制的必要性，并在控制环节中引入PID调节，来提高控制的动态响应能力和系统的稳定性，以提高逆变电源的负载适应性和输出的稳定性。

The results from the experiments on crops of water convolvulus and flowering Chinese cabbage indicated that soil NO3-N concentration showed non-linear correlation with higher N fertilizer application rates, whereas they presented linear correlation with lower to middle N fertilization rates.

结果表明，在较大施氮量范围内，施氮量与土壤渗漏水硝态氮浓度之间呈非线性关系，但在中低施氮量时则表现为线性关系，可以应用"双速率转折点"概念评价菜园土壤硝态氮流失潜力。

It belongs the kind of complex bridges because its liner changes usually and the weight condition is also complex, except bear moment and shearing force, there are larger torsion and doubled moment, as a result, crankle、warping and aberration would happen.

这种异形桥梁结构是受力很复杂的一种桥型，其线性变化多端，结构受力复杂，除承受弯距、剪力外，还有较大扭矩和翘曲双力矩的作用，即使外荷载的作用通过梁的剪切中心，也将发生弯扭组合变形，同时伴随有截面的翘曲和畸变。

At last, in Chapter 7, the author establishes the theory on global exact boundary controllability for first order quasilinear hyperbolic system of diagonal form and applies it to one-dimensional isentropic flow system.

最后，在第七章，本文对齐次的一阶拟线性对角型双曲组实现了整体精确能控性，并在一维等熵流方程组得到了应用。

A diatomic linear oscillate model in one dimension was used to analyze the influence factors of the dielectric constant and quality factor and the relationship between them.

采用一维双原子线性振动模型，分析了微波介质陶瓷材料的εr、Q影响因素和它们之间的相互制约关系；采用Clausius-Mosotti方程，分析了谐振频率温度系数的影响因素以及它和εr之间的相互制约关系。

To combine dichromatic reflection model with the finite dimensional linear model to derive the normalized deviation body reflectance, has been demonstrated to be an important method to realize color constancy.

利用双色反射模型和有限维线性模型，提取归一化偏差本体反射特征，被实验证明是实现颜色恒常性的一个重要途径。

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