查询词典 geometric

We study a polygon representation composed by the vertex angles and ratios of adjacent edge lengths, which is invariant to geometric transformations such as translation, rotation and scaling. The polygon is globally represented by a scale-invariant intrinsic matrix.

提出了由顶点转角和相邻边长比例构成的多边形伸缩内在量表示的方法，多边形从整体上由一个伸缩内在矩阵来表示，该表示方法具有平移、旋转和伸缩等几何不变性。

First we prove that 0 is an eigenvalue of the operator with geometric multiplicity one,next we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator,last we prove that 0 is an eigenvalue of the adjoint operator of the operator.

首先证明0是对应于该排队模型的主算子的几何重数为1的特征值，其次证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，然后证明0是该主算子共轭算子的特征值。

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

Among the objects as the principle of geometric perspective and aerial perspective, and make it conveying deep stereo spatial feeling on planar painting.

在绘画中，依照几何透视和空气透视的原理，描绘出物体之间的远近、层次、穿插等关系，使之在平面的绘画上传达出有深度的立体的空间感觉。

Thismethod adopted affine transformation model and a Lie derivative-based analytical algorithm.We introduced the process and characters in extracting information of biological visionsystem, studied the feasibility of the generalized Gabor function used as receptive fieldfunction in extracting information and analyzed affine transformation group and Liederivatives. Finally, we deduced the mathematical denotation for Lie derivatives, i.e. theinfinitesimal generator of the geometric distortion in affine transformation.

对生物视觉信息提取的过程及特点进行了介绍，其中主要研究了广义Gabor函数作为感受野函数提取初级视觉信息的可行性；对仿射变换作为外界图像信息在视觉成像系统上的投影模型的原理进行了初步讨论；对Lie变换群微分算子用于提取仿射变换不变量的分析方法作了剖析，并推导了该方法中关键部分——仿射变换Lie微分算子的具体表达式，也就是几何变形无限小微分算子的计算表达式，使下一步编程实现该方法成为可能。

In affine invariant space, the 3D object is not affected by geometric transformations, such as translation, rotation and scaling.

由于在仿射不变空间下，3D物体模型不受平移、旋转和比例变换的影响，故该水印方案对于此类变化具有很强的鲁棒性。

From the geometric point of view, the induction motors belong to a kind of affine nonlinear systems.

从非线性系统几何理论的观点上看，异步电动机系统属于一类仿射非线性系统。

The agglomerate can have a regular geometric form or not.

这聚集体可以是或不是有规律的几何形状。

So, it is very important to research the geometric characteristics of aggregate for asphalt mixture.

如何控制集料的几何特性成为迫切需要解决的问题。

A term is added to account for the effect of airflow through the slots on the air damping of the plate. The end effect of the airflow in the slots is also treated by substituting an effective channel length for the geometric channel length (i. e. the thickness of the plate).

该方程与传统雷诺方程的区别是在雷诺方程的左边增加了一个用以表示气体从槽流出所引起的阻尼效应的修正项，并考虑了槽中有限气流通道长度的端头修正。

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