曲线

In this paper, we summarize the foundations of Algebraic function fields, algebraic curves over finite fields and algebraic geometry codes, then we focus on the dimensions of codes on the quotient of the hermitian curves, by using the theory of weierstrass semigroup and the idea of Ho...

我们在系统地总结了代数函数域，有限域上的代数曲线和代数几何码的基本知识的基础上，利用Weierstrass子半群理论，使用Homma和Kim的方法，讨论了Hermite曲线商域上码的维数问题，得到的主要结果如下： 1。

Given a planar point set,the moving least squaremethod is adopted to denoise and resample it so that the resulting point set is with low noise and uniform sampling density.Then the reliable signed distance field of the preprocessed point set is constructed by using the Level Set method.Finally,an algebraic B-spline function is adopted to fit the signed distance field by solving a linear equation system.

首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云，采用移动最小平方(moving least square，简称MLS)方法对点云去噪、重采样，得到一个低噪音、分布均匀的"线状"点云，再通过Level Set方法建立该"线状"点云的离散几何距离场，最后用一个代数B-样条函数光顺拟合该离散距离场，代数函数的零点集即为重建曲线。

Based on the proper segmentation of algebraic curves,the convex hull of curve segment was given.

基于代数曲线的合理分割，给出了曲线段的三角形凸包的描述。

In this paper, we have made a systemic theoretic research on modelling and reshaping several types of spline curves/surfaces in CAGD. And some creative productions are given as follows. At first, the uniform C-B-spline basis is proved to be a normalized totally positive basis, and can be extended to a normalized B-basis. C-B-spline and C-Bézier basis, similar to B-spline basis and Bézier basis in algebraic space, are two bases in algebraic trigonometric space.

本文围绕着CAGD中常用的几种曲线曲面造型和形状调整进行了深入的研究，主要获得了以下一些成果：首先，证明了代数三角空间中的n次均匀C-B-spline基是一组标准全正基，并进一步扩充为一组标准B基。C-B-spline基与C-Bézier基是多项式与三角混合空间中的两组基，是适应工程实践中设计特殊曲线曲面的需要而产生的，类似于多项式空间中的B-spline基与Bézier基，是CAGD中重要的造型工具。

The ECC theory was studied in this paper. Polynomial was used to complete the hardware design of all kinds of algorithm including multiplication, division, point addition, point doubling和 point multiplication in GF (2m).

本文研究了椭圆曲线密码学理论，采用多项式基实现了椭圆曲线在有限域GF(2m)中各种运算的硬件设计，这些运算包括乘法、除法、点加、倍点和点乘，并用软硬件结合的方式实现了ECC的加/解密流程。

But the air flow that coal mine need and characteristic curve of resistance of coal mine is alterable.

轴流式风机的实际工况，取决于风机的特性曲线和矿井的阻力特性曲线。

Results: The left and right ventricular pressure curves of each cardiac cycle from the analogue experiment are much close to the pressure curve in human physiological system.

结果 ：模拟实验得到的左、右心室心动周期压力曲线和正常生理情况下的左、右心室心动周期压力曲线非常接近。

In spatial analytic geometry,a spatial curve is an intersecting line of two curved surfaces.

在空间解析几何中，空间曲线是两曲面的交线，在空间曲线中消去一元，即得投影柱面。

In chapter 5, we present the analytic spectrum and light curve of these synchrotron radiating electrons, applying a treatment more reansonable and stricter than methods in the literature and convenient for calculating those of synchrocurvature to reveal physical nature of the magnetic field formation and acceleration of particles in shock.

在第五章，我们给出了这些电子能谱的解析同步辐射谱和光变曲线。我们的处理方法比文献中的方法更合理且更严格。它也更方便我们下面利用同步曲率机制去计算余辉的辐射谱和光变曲线，以期揭示激波中磁场形成及粒子加速过程的物理内涵。

By analysis of frequency spectrum based on MATLAB platform, wavelet method in the application of cutting out a section of inputting earthquake wave was presented. In the process of pseudo dynamic test results, the method of non-dimensional representation and analytic representation of hysteretic curve was provided. The above two methods will help to compare dissipation energy capacity of this structure at the different acceleration peak value stage of pseudo dynamic test more precisely and comparably.

通过基于MATLAB的地震波频谱分析，说明了小波分析方法在拟动力试验中地震波截取方面的应用：在拟动力分段试验数据的处理方面，本文将试验结果的无纲量表示方法以及曲线的多项式拟合法引入滞回曲线的数据处理，这将有助于拟动力试验不同加速度峰值条件下，各阶段结构耗能能力的客观比较。

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％。