查询词典 geometric difference equation

By learning this course, students should proficiently use algebraic methods to solve geometric problems and practical problems, and proficiently grasp the basic ideas and methods of vector algebra and geometric properties of spatial line, plane and quadratic surface.

通过本课程的学习使学生熟练掌握运用代数方法解决几何问题并应用于实际问题之中，并熟练掌握向量代数的基本思想和方法，同时使学生熟练掌握空间的直线、平面和二次曲面及其各种几何性质。

In this thesis, several problems of time-dependent systems in various branches of physics are investigated by making use of the generalized invariant theory and the invariant-related unitary transformation formulation. The problems are given as follows:(1) Spin model and geometric phase factor in the fiber We investigate the fiber experiment performed by Chiao-Tomita and the Chiao-Wu theory concerning the geometric phase factor in the optical fiber, and then show that the investigation of the propagation of photons inside the noncoplanar optical fiber can be regarded as that of a second-quantization spin model.

本论文用推广的不变量理论和与不变量有关的幺正变换方法研究了一些物理分支中的几个含时系统问题：(1)自旋模型与光纤中光子几何相因子问题重新考察了Chiao-Tomita光纤实验和Chiao-Wu关于光纤中光子几何相因子的理论，证明了在非共面弯曲光纤中传播的光子运动问题实际上可以化为二次量子化含时自旋模型研究。

Then, according to research on nonisotropic transformation in geometric attack, this *** further spreads the application field of scale-space theory in watermark design and proposes an algorithm against geometric attack grounded on affine invariant feature point.

然后，通过对几何攻击中的非同向性变换的研讨，入一步扩铺尺度空间理论在水印设计中的应用，提出一种基于仿射不变特性点的抗几何攻击算法。

Geometric methods developed herein to obversely and inversely calculate the parameters of rational Bézier circular arcs with degrees of three and four are simple, practical and have direct geometric meaning.

所给算法具有几何直观性、简单、实用，符合计算机辅助几何设计的要求。

For the research of pointwise geometric property, in this thesis, we creatively introduced pointwise geometric constant.

为研究点态几何性质，本文首创引入点态几何常数。

Many geometric properties of spaces may be pointwise, pointwise geometric properties were the localization and meticulous of properties of spaces.

空间中许多几何性质可以点态化，点态几何性质是空间几何性质的局部化、精细化。

The main results are as follows:(1) In Chapter 2, the proof of the main theorem on quadratically related m-geometric sequences in [5] is simplified and consummated; A family of GMW-geometric sequences derived from GMW sequences are constructed, and their correlation functions and linear complexities are given.

本文也正是从扩频码序列的相关性能和安全性的角度来构造和研究了几类扩频码序列集合，得到以下的结论：（1）第二章首先简化并且完善了文献[5]中关于二次相关m-几何序列的主要定理；其次，在GMW序列的基础上构造了GMW-几何序列，计算了GMW-几何序列的相关函数；最后给出了GMW-几何序列的线性复杂度。

For example, after spinning the geometric shape circle on its axis to any degree, the geometry of the shape remains unchanged. Therefore, the geometric shape circle is symmetrical relative to the revolvement on its axis.

例如，平面几何图形圆，绕轴心作某一角度旋转，圆的几何图形保持不变，所以，圆的几何形状具有对轴心的旋转对称。

CAD X11 includes 3-D wireframe modeling, surfacing, DXF output, 2-D drafting with ANSI, ISO and JIS dimensioning, geometric tolerance, TrueType Font support, undo and redo, multiple views, data verification, geometric analysis, crosshatching, layering, PDF output and online help.

CAD X11版本包括3-D Wireframe建模，平面制图，DXF输出，使用ANSI， ISO和JIS标准的2-D制图，几何度量，真字体支持，撤销操作和重复操作，多角度预览，数据检测，几何分析，网状阴影，图层，PDF文档输出以及在线帮助等功能。

The main content reads as follows: Chapter 1 gives a survey on the three methods by which regular geometric modeling can be rended, including parametric curves/surfaces modeling method, algebraic curves/surfaces modeling method and subdivision. Moreover we introduce in greater detail about two means for subdivision which fit into two class: geometric subdivision and algebraic subdivision.

全文主要内容如下：第一章首先对CAGD中构造&规则几何形体&的三类造型方法：参数曲线、曲面造型方法，代数曲线、曲面造型方法及细分法——曲线、曲面的离散化造型方法，作了较系统的综述，并对两类主要的细分法——几何方法与代数方法，作了较详细的介绍。

Don't listen to their haver, nothing of that sort.

别听他们胡说八道，根本就没那回事。

But bank's shares trade below their book value, suggesting that investors are skeptical.

但是，银行股票以低于账面价值的价格交易，这一点反应了投资者的怀疑。