向量的

By projecting 3D models into 1D smooth principal curves, equally segmentation and sampling along the length of curve are implemented to extract shape feature vectors, then one can retrieve 3D model according to the matching result of shape feature vectors of 1D manifold.

本文将三维网格模型，投影为三维的光顺主曲线；通过对主曲线沿弧长方向的均匀分割采样，提取主曲线的空间位置和姿态等形状特征；最后通过形状描述向量的比较实现了对应的三维模型检索。

The decomposition of the eigenspace of the defective matrix and the general form of Jordan chain ;2. The general form of the maximal Jordan chain s of the defective matrix is getten with the notation of depths of the generalized eigenvectors.

利用广义特征向量的深度，获得极大若当链的一般形式，并推导出在满足PJP-1=SJS-1的2个可逆矩阵P和S之间存在一个主对角线上具有上三角分块Toeplitz子阵的可逆矩阵H，使得S=PH，从而证明广义特征矩阵的唯一性。

Based on the simplified model, through modification and interpolation to the normal of surface, and making use of Phong shading to build lighting-model, it makes model more real in the status which has little detail and less facets.

在简化模型的基础上，通过对其表面法向量的修正与插值，并利用Phong着色处理构造的光照模型，使模型在极低的细节与面片数的状况下仍具有较高的真实感。

In contrast to conventional optimization algorithms whose iterates are computed and analyzed deterministically, randomized methods rely on stochastic processes and random number/vector generation as part of the algorithm and/or its analysis.

传统的最佳化演算法中迭代的计算和分析是确定的，与之相比，随机方法依靠随机过程和乱数字/向量的生成作为演算法和演算法分析的一部分。

It is proved that the"feedback linearization" certainty equivalence control law with"regressor vector-based"update law can guarantee the real output to track reference output in relative degree one case.

当控制对象的相对阶为1时，我们证明了采用"反馈线性化型"确定性等价控制律，和"基于回归向量"的自适应律，可以保证实际输出有界跟踪参考输出；当控制对象的相对阶大于1时，控制律和自适应律的结构保持不变，但是构造自适应律的信号采用了由跟踪误差得来的"增广误差"。

To denoise, the Byes principle can be applied to train the mass sample, and promote the representability of the characteristic vector. The practice proved that the BP neural networks have capacity of error acceptance, and can classify the vehicle samples not trained. The Fast Vehicle Classification system can meet the demand of the high precision classification.

对于测量系统提取中的一定范围中的数据"噪声"，以Bayes法则进行对大量样本先验去除"噪声"，提高了特征向量的代表性，理论与实际证明这样得到的BP网络有强容错能力，识别没有看到过的汽车样本能够达到高精度识别要求。

Basing on the analysis of 1 dimension observation,2 dimensions and 3 dimensions points confidence region,a general formular is proposed in this paper,which can be used to calculate the semidiameter of P dimensions super space ellisposid by using some important probability distributions.

在分析一维观测量、二维和三维坐标点置信区间、区域的基础上，利用几个重要的数学分布，导出了线、面这一p维随机向量的置信区域——p维超空间误差椭球半径的计算公式，同时应用实例验证了该通式与常规公式的一致性。

Some references indicated that the reachability of a Petri net can be analyzed by solving its state equation and judging whether or not there exists a legal firing sequence whose firing number vector is a solution of the state equation, but it is somewhat difficult to achieve.

已有文献提出通过解petri网的状态方程并判定是否存在以它的某个解为发生数向量的合法引发序列来分析petri网的可达性，这往往有一定的困难。

Different from traditional system protection models, such as access control matrix model, this theory describes the operations in system by functions of random variable vectors, build an analysis model of trusted system with three axioms, and analyze the information flow in the system by tracing the operation sequence of the system.

与访问控制矩阵模型等传统的保护系统模型不同，这一理论用随机变量向量的函数来描述系统操作，基于三条公设建立了可信系统的分析模型，并通过对系统操作序列的跟踪来分析系统中的信息流。

We use a size changeable adjacent field to describe the topological structure of 3D unorganized points in our algorithm. It can offer essential dynamic information for tessellation and points normal.

算法采用可以控制大小的邻域作为空间散乱数据点的拓扑关系的几何描述，为网格划分和点的法向量的几何描述提供了必要的动态几何信息。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。