链曲线

Monte Carlo simulations of phase equilibria for lattice polymer systems with chain length r=1,2,4,8 are carried out in the canonical ensemble. All chain molecules are introduced into the cell regularly upon initiation, followed by being perturbed through the repta-tion, end - rotate, crank - shaft and L - flip motions.

应用修正的Widom试验粒子方法在三维立方格子中计算了链节数分别为r=1，2，4，8的链状分子在不同温度、密度下的剩余化学位，然后运用热力学关系计算了以上系统在不同温度、密度下的化学位、压力和压缩因子，并求得系统的相平衡曲线和临界点。

Show model combines growth model, math model and VR technologies to design the proper object structure of each organ of virtual plant. First of all,research background, research content of virtual plant area and Virtual Reality technology are introduced. The concept of VR and research content of virtual plant are defined. Secondly, we analyze math model of virtual plant, including Bezier curve, NURBS curved surface, fractal system, L-system and Catenary curve. Thirdly, we give show model of virtual plant in detail. Finally, the design of the platform and growth model on XML script is introduced , and how to show the virtual plant in the platfrom is discussed too.

本文首先介绍了虚拟植物领域的研究背景、研究内容和虚拟现实技术，明确了虚拟现实的概念和虚拟植物的研究范畴，然后介绍了虚拟植物器官的数学模型，对各个器官展开了拓扑结构分析，建立有针对性的数学模型，先后介绍了Bezier曲线，NURBS曲面，分形系统，L-系统和悬链线曲线，接着详细分类介绍了虚拟植物器官的显示模型，最后介绍了虚拟作物平台的设计，平台中基于XML脚本的生长模型，以及虚拟作物在作物平台中的显示。

MAIN OUTCOME MEASURES: The results of recombinant plasmid PCR and gene sequencing, the correlation coefficient of the standard curve and the repeatability of the plasmid standard.

主要观察指标：重组质粒聚合酶链反应和基因测序结果，标准品标准曲线的相关系数及标准品的重复性。

Look, under the square wheel, there is a curved line, which is called catenary in mathematics.

你看，方轮下面的路线是一条曲线，这条曲线在数学上是一条悬链线。

Look, under the square wheel, there is a curved line called a catenary in mathematics.

你看，方轮下面的路线是一条曲线，这条曲线在数学上是一条悬链线。

The rheological character of a polymer often appears as shear-thinning. Most polymers behaviour in a solution can be explained by the polymer chain or hard sphere theory. Other than that, shear-thickening polymer solution also exists. Its behavior can be explained by dilatant theory, which suggests that the shear-thickening of the solution is due to the swelling of the polymer particles. This phenomenon often occurs in suspension or emulsion. Solution exhibits a mixed behavior can also be found whose behavior is such that shear-thinning occurs under low shear force and shear-thickening occurs under high shear force. Under this circumstance, the viscosity versus shear force graph exhibits a spoon shaped curve. The rheological study can be applied to the dispersion of paint which can predict the dispersion effect of various polymer materials in solution.

中文摘要一般高分子聚合物溶液的流变行为多半呈现剪稀(shear-thinning)的现象，而大部分的高分子在溶液中的行为是以分子链或是硬球观点来解释，另外也有剪稠(shear-thickening)现象的高分子溶液，其流变行为则是以膨胀体观点来解释，即在高剪切力下，由於高分子团体积变大而使溶液黏度升高，这在悬伏液、乳液等常见；但也有在低剪切力下，溶液具有剪稀的行为，而在高剪切力下却成现剪稠的行为，在黏度对剪切力作图时，会呈现出一个勾形曲线的图形；流变行为的探讨可应用在涂布材料的分散技术上，以推测不同的高分子溶液对分散效果的影响。

The longer the chains is, the lower the DST curve is.

醇的碳链越长，DST曲线越低。

The contents are: measure and tuning of accelerating cavities, coupling cavities, measure of quality, field distribution, dispersion curve . and the way of measuring and eliminating the stop band, etc. At the same time, utilizing the test data and the dispersion equation of cavity chain, we make a fit dispersion curve by way of least squares fit, and we work out the width of stop band and the intercavernous coupling coefficient.

内容包括：加速腔频率韵测量和调谐、耦合腔频率的测量和调谐、品质因素的测量、场分布的测量、色散曲线的测量、禁带的测量和消除等，同时，论文还从腔链色散方程和测得的实验数据出发，利用最小二乘法进行拟合得到拟合色散曲线，并计算出禁带的大小和腔间耦合系数。

The transition states of the reaction between THF、 butylene oxide and secondary oxonium ion were acquired. By using frequency analysis and inner reactioncoordinate analysis the rationality of these transition states were affirmed.

分别对四氢呋喃和环氧丁烷，绘出了链增长反应的势能面曲线，得到四氢呋喃链增长反应的活化能为116.749kJ/mol；环氧丁烷链增长反应的活化能为92.672kJ/mol。

It identifies "worse condition points" along the path according to the curve information, machine tools capability and machining requirement. Integrated with adaptive interpolation, segmented high speed machining is adopted. Different constant speed segments and speed transition segments are obtained according to the feed motion constraint model, and the corresponding feed information are stored in a penta-element lookup chain table. By referring to the lookup table, the interpolator can automatically determine the feed motion.

算法根据加工路径的曲线信息、机床加工能力及加工要求确定&最差状态点&，并结合自适应插补思想，采用分段高速加工，根据进给约束模型得到不同恒定速度加工段及速度过渡段，并将这些信息存储在一个五元的自适应Lookup链表中，插补过程中通过查找该链表确定进给参数。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。