查询词典 affine transformation

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。

Another part of our work begins with definition of multioutput generalized bent functions. We show their spectral characteristics and give equivalence definition using generalized first order Chrestenson cyclic spectrum. Also we calculate rate of accordance between multioutput generalized bent functions and multioutput m-valued affine functions. Then we define multioutput m-valued perfect nonlinear functions and show relationship between them and multioutput generalized bent functions. Finally we give two ways of constructions of multioutput generalized bent functions.

第三章中首先给出了剩余类环上的多输出广义Bent函数的定义，得到了多输出广义Bent函数的广义一阶Chrestenson谱特征，然后计算了多输出广义Bent函数与多输出m值仿射函数的符合率；接着定义了多输出m值完全非线性函数，讨论了多输出m值完全非线性函数与多输出广义Bent函数之间的关系；最后给出了两种构造多输出广义Bent函数的方法。

We give a new proof for the triangular decomposition theorem of affine composition algebras.

我们给出了仿射合成代数的三角分解定理的一个新证明。

Objective To study the power spectrum density of blood flow ultrasonic Doppler signal using wavelet analysis. Method Doppler signal of blood flow in human common carotid artery was studied with wavelet scalogram analysis, an affine smoothing Wigner Ville transform with a constant "Q" character. Result Wavelet scalogram of blood flow ultrasonic signal had a higher distinguishability than STFT spectrogram in the low frequency portion, but had poorer decussation terms than spectrogram.

对于平稳信号的处理工具仍然是Fourier变换，但是，在实际应用中的绝大多数信号是非平稳的，现在看来处理非平稳信号的主要工具将是小波变换，这主要是因为传统的Fourier变换分析信号时，时间和频率分辨率精度是固定不变的，而利用小波变换分析信号，在信号高频段时间分辨率精度也较高，在信号低频段频率分辨率精度较高，这很符合非平稳信号的特点。

The nonlinear dynamic model was expressed based on the format of SISO affine nonlinear system. Then the system was represented into the standard Byres-Isidori format base on the diffeomorphism transform.

使用SISO仿射非线性系统描述了所建立的自行车机器人非线性动力学模型，利用非线性微分同胚变换将该系统化成了Byres-Isidori非线性系统的标准型形式。

Based on the analysis of the kinematic property of the system, a nonlinear dynamic model of the platform system was established in the form of a differential equation. Then, it was transformed into the state space with the style of an affine nonlinear model.

以气动人工肌肉为驱动器，构造了一个新型的多自由度平台实验系统，基于对其运动特性的分析，建立了以微分方程表达的系统的非线性动力学模型，并进一步将其变换成状态空间的仿射非线性表达形式。

Then, the minutiae sets are aligned globally through coordinate transform, and the alignment parameters are optimized by using affine transform and least square method. Finally, minutiae matching and directional field matching are respectively achieved based on the minutiae alignment, and the two matching scores are fused into a single to obtain a more reasonable result. Experimental results show that this method contributes to ensure the accuracy of fingerprint identification as well as possesses the real-time performance.

该算法首先利用脊线信息快速确定满足局部匹配要求的细节点对，在此基础上进一步通过全局坐标变换完成细节点的全局配准，并采用仿射变换模型通过最小二乘估计对配准参数进行优化，然后在配准的基础上分别进行细节点匹配和方向场匹配，最后对两种匹配分值进行融合，以取得较合理的匹配结果。

We also propose an affine scaling trust region interior point algorithm via double dogleg path for nonlinear optimization subject to bounds on variables.

本文又提供了一种基于双折线路径的非单调信赖域内点回代法，求解变量有界的约束优化问题。

Ii The problems of optimal control of piecewise linear affine descriptor systems are studied by using some elementary matrix transformations and line matrix inequalities.

二、运用初等矩阵变换和线性矩阵不等式，初步研究了分段线性仿射广义系统的二次最优控制问题，得到了系统二次最优控制的上界、下界，估计成立的条件。

Based on performing QR decomposition of an affine scaling equality constraint matrix, the conducted subproblem in the algorithm is the general trust region subprob-lem defined by minimizing a quadratic function subject only to an ellipsoidal constraint.

基于矩阵QR分解的技巧，将仿射零空间的信赖域子问题变换成通常的信赖域子问题，然后结合线搜索技术，在每次迭代信赖域子问题都将产生新的回代内点。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48