查询词典 basis of linear space

Secondly, the problem of linear prediction for Qy in the original model and its transformed model is considered, the notion of linear sufficiency and the problem of comparison of linear models with respect to prediction problems are proposed and the corresponding necessary and sufficient conditions for the transformation to be linearly sufficient and for one model to be superior over another are given, respectively.

其次，我们讨论了原始模型和变换模型下Qy的线性预测问题，提出了在该预测问题意义下的线性充分性和模型比较的概念，分别给出了变换Fy是线性充分的、以及一个模型优于另一个模型的充分必要条件，此外还得出了一些特殊结论。

The basic characteristic of the linear model is the unknown parameter of the model is linear and it also includes the linear random error.

线性模型的基本特征是，模型的未知参数是线性的，同时又线性的包含了随机误差项。

In chapter two, we analyzed the methods for single linear Diophantine equations: Rosser algorithm and Fortenbacher algorithm; the methods for linear Diophantine equations: EMAS algorithm and Contejean algorithm.2. In chapter three, the DLU and IILX algorithms for linear Diophantine equations are given based on the ABS algorithms.

第三章在ABS算法的基础上给出了求解线性丢番图方程组的整隐式LU算法和整隐式LX算法，讨论了相应的ABS性质，并讨论了复杂性分析及其应用。

Using the properties of base solution vectors of the linear restriction equations, a condition to maintain the same discriminant result between the sampled observations of changed and unchanged was obtained: the disturbed row vector of sampled observations was satisfied all linear equations whose coefficients were the base solution vectors of linear restriction equations.

利用约束条件方程组基础解向量的性质得出了使数据变化前后的判别分类结果保持不变的条件：数据扰动行向量必须满足所有以约束条件方程组的基础解向量为系数的线性方程组。

Using the result for non-restricted model, we transform the restricted model to common model, and multi collectivity model to single collectivity model, thus, the necessary and sufficient conditions that nonhomogeneous linear estimators for Sβ are admissible in the class of nonhomogeneous linear estimators are obtained which filled the blank for admissibility for restricted linear model.

对线性等式约束的共同均值线性模型，利用无约束单总体模型的现有结果，通过适当变换，把等式约束模型向无约束转换，并把多总体转换为单总体，在矩阵损失下找到了均值参数β的条件可估函数Sβ的线性估计∑mAiyi+a在非齐次线性估计类中可容许的充要条件，填补了等式约束的共同均值线性模型可容许性方i=1面的空白。

By use of first-order linear expansion of Taylor series, the linearization process of both nonlinear constraints and objective function of long-term optimal scheduling model are performed and an optimal scheduling model based on seccessive linear programming is built; an approach to solve Optimal scheduling of cascade hydropower station problem by seccessive linear programming is put forward, the scale-down factor of iteration step length is used to ensure that the algorithm can converge to the optimal solution of optimization problem quickly and accurately.

通过采用泰勒级数一阶描述形式，对优化调度目标函数和约束条件中的非线性约束进行线性化处理，建立了基于连续线性规划算法的优化调度数学模型，提出了用连续线性规划技术求解梯级水电站优化调度问题的算法，并采用迭代步长的动态比例缩减因子保证算法能快速准确地收敛到优化问题的最优解。

Ln this paper, a new learning method is presented which is based on analyzing a set of linear separable structures. The most important benefit of this method is all binary neurons belong to one or more types of linear separable structure sets. If those linear separable structure sets have clear logical meaning, the whole knowledge of binary neural networks can be dug out.

该文提出了一种基于线性可分结构系结构分析的学习算法，采用这种方法对布尔空间的样本集合进行学习，得到的二进神经网络隐层神经元都归属于一类或几类线性可分结构系，只要这几类线性可分结构系的逻辑意义是清晰的，就可以分析整个学习结果的知识内涵。

Firstly, we collected and sorted out the GPS data, established the uniform velocity field for the Chinese mainland and the surrounding regions, and the horizontal deformation field relative to the Eurasia plate; Secondly, we established a motion model for the entire rotation and homogeneous strain of the first and second level blocks in Chinese mainland, analyzed the motion pattern and strain behavior of active blocks in Chinese mainland, as well as the motion pattern of principal fault zones in Chinese mainland; Thirdly, considering the heterogeneity of strain distribution inside a block and supposing that the strain tensor inside the block is the linear function of location, we derived and established an equation for the entire rotation and linear strain of block and a motion model for the entire rotation and linear strain of principal blocks in Chinese mainland; We also calculated the principal strain field and the maximum shear strain field in Chinese mainland and the surrounding regions, analyzed the basic characteristics of strain field in Chinese mainland, as well as the relationship between the spatial distribution of strain field and large tectonic zones; Finally, we established the 2-D geotectonic model and digital model for Chinese mainland and the surrounding regions, calculated the stress field in Chinese mainland and the surrounding regions, and analyzed the basic features of stress field in Chinese mainland and the principal driving force for the motion and deformation in Chinese mainland.

收集整理了已有GPS资料，建立了中国大陆及周边地区统一的速度场以及相对欧亚板块的水平形变场；建立了中国大陆一、二级地块整体旋转与均匀应变的运动模型；分析了中国大陆活动地块的运动状态，应变状态，以及中国大陆主要断裂带的运动状态；考虑到一个块体内部应变张量空间分布的非均匀性，假设块体内部的应变张量是位置的线性函数，推导建立了块体整体旋转与线性应变方程，建立了中国大陆主要地块整体旋转与线性应变的运动模型；计算了中国大陆及周边地区的主应变场与最大剪应变场，分析了中国大陆应变场的基本特征，以及应变场的空间分布与大型构造带的关系；建立了中国大陆及周边地区二维的地质构造模型和数值模型，计算了中国大陆及周边地区的应力场，分析了中国大陆应力场的基本特征以及中国大陆运动、形变的主要驱动力。

Based on the description of uncertain linear and area objects, intersection degrees for parts of uncertain linear and area objects are represented quantitatively. By calculating correlation degrees between spatial vectors composed of these measurement units and spatial relation vectors determined by 9-intersection model, a new model is presented for topological relations between uncertain linear objects and fuzzy region, which could distinguish the type of topological relations through quantitative analysis method.

在时不确定线状目标和面状目标进行描述的基础上，对不确定线状目标与面状目标各组成部分之间的相交程度进行了定量表达，通过计算这些度量组成的空间向量与9-交集模型确定的空间关系向量之间的相关度，提出了一种不确定线状目标和面状目标之间拓扑关系的描述模型，通过定量的方法来对其空间拓扑关系进行判别。

In order to look for fast calculation model of a linear oscillation motor, which can express the transitive relation between parameters and performance. The basic mathematic model of a linear oscillation motor is established by finite analysis method and the regression modeling method for the support vector machines is introduced. Then, the SVM calculation model is set up. A shortcut online calculation method is provided for the process of the parameter optimization of linear motors.

为了寻找反映直线振荡电机参数与性能输入输出传递关系的快速计算模型，利用有限元分析法，建立了直线振荡电机非参数建模的基本数据计算模型，根据基本数据计算模型，引入支持向量机(Support Vector Machines， SVM)非参数回归建模方法，建立了用于直线振荡电机参数与性能之间输入输出传递关系的SVM计算模型，为电机参数优化过程提供了方便快捷的在线计算方法。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。