查询词典 linear order

It is pointed out that optimal solution of linear programming can be represented as a sum of a convex combination of the optimal extreme point s and a nonnegatively linear combination of the optimal extreme directions.

本文指出了线性规划的最优解可表示为最优极点的凸组合和最优极方向的非负线性组合之和，确定了最优极方向存在的条件。

To use linear program, we have to take care of two problems. The first problem is that the actual relationship between intensity and duration is nonlinear convex function. In this study, we propose to use piece-wise linear curve to approximate the nonlinear convex curve. The second problem is that there are many feasible event sequences.

使用线性规划遭遇的困难有二：第一，作业强度与作业时间呈非线性之凸函数关系，因此本研究将使用片段线性曲线(piece-wise linear curve)近似作业强度与作业时间呈非线性之凸函数关系；第二，专案有很多组可能事件顺序，事件顺序的不同会产生不同的资源限制式，本研究提出一个系统化的方法求解问题。

The discriminance methods and expression of generalized alternative optimum solutions of linear programming is given by proving that the equivalent of optimum extreme point and extreme point of optimum solution sets of linear programming and applying the theorem of convex polyhedron.

通过证明线性规划最优解集的极点与线性规划最优极点的等价性，利用凸多面体的表达定理，给出了广泛意义下线性规划无穷多最优解的判别方法及表达式。

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。

The relative standard deviation of this method was 2.03%, the limit of detection was 0.006 4 mg/L, the linear correlation coefficient of the calibration curve was larger than 0.999 and the linear range was much wider.

其相对标准偏差：2.03%；检出限：0.064 6 mg/L；线性范围宽，校准曲线的线性相关系数应大于0.999等。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

In the part of vision system design, the hardware platform is composed of linear array light, cylindrical lens and linear array image sensor, then the algorithm of circle fitting method is carried on.

在视觉系统的设计中，采用线阵光源、柱面透镜和线阵图像传感器设计了视觉系统的硬件平台，并进行了圆拟合算法的分析。

On basis of the decomposition theorem, multi-objective linear programming and multi-objective fuzzy linear programming are discussed.

以分解定理为工具，讨论了多目标线性规划与多目标模糊线性规划的求解问题。

In this paper another deductive proof of the algorithms for the recursive solution of the system of linear equations with a Toeplitz coefficient matrix is considered, and formulas for the specific recursive solution of the various forms of the system of linear equations in accordance with a Toeplitz coefficient matrix are given.

本文给出了具有托布里兹系数矩阵线性方程组递推解法算式的另一推导证明方法，并给出了基于托布里兹系数矩阵的各种线性方程组的具体递推解法公式。

The paper discussed the detectability of status fault of linear systems based on the construction of control systems, put forward and proved the conclusion that status fault of observable linear system can be detected.

从控制系统的结构出发，对线性系统状态故障的可检测性进行了讨论，提出并证明了线性能观系统的状态故障是可检测的结

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。