推导出

Operation rules for three kinds of point mutation of DNA sequences (transition, transversion and transformation) are derived.

3推导出DNA序列点突变的运算法则。

Considering that thermodynarmic irreversibility and hydrodynamic equations can not be derived rigorously and unifiedly from the Liouville equations, the anomalous Langevin equation in the Liouville space is proposed as a fundamental equation of statistical physics.

考虑到热力学不可逆性和流体力学方程不能严格统一地从刘维方程推导出，本文提出了刘维空间的反常朗之万方程作为统计物理的基本方程。

4Have done a great deal of research work, while on the stiffened ones, Wanget al. [5, 6, 7] have also done a series of research work. But up to now, tothe author's best knowledge, there have been no papers reported in the openliterature on the stability analysis of the laminated composite shells of revo-lution, both unstiffened and stiffened, by the finite element method.

在SABA族元素[1]的基础上，把复合材料各向异性的弹性性质考虑进去，把纵向筋条处理成为空间梁，计入梁偏心的影响，由梁的基本弹性和几何刚度矩阵出发，经过一系列变换，推导出与SABA元素相协调的新的弹性和几何刚度矩阵，从而较为精确地得到了复合材料叠层及加筋的稳定性分析结果。

Furthermore, it can be deduced from Fig.

此外，可以推导出图。

One deduces the O run time of a program by examining its loops.

一个推导出的O运行时的程序审查其循环。

We present a general density evolution-based procedure which finds the optimal puncturing of a base code.

本节根据非规则码的密度进化理论推导出RC-LDPC码的密度进化公式。

The mathematical model by which the forming time can be precisely calculated is ratiocinated. This model shows that in SLS the scanning "delay" phenomenon can make the actual forming time greatly exceed the theoretical time, and the total number, total length of the scanning lines and the scanning speed have different effects on the scanning "delay".

本文推导出了SLS成型时间精确计算的数学模型，该模型显示在SLS加工中的扫描&延时&现象会造成实际成型时间远远大于理论时间，并且扫描线条数、扫描线总长和扫描速度对扫描&延时&有不同程度的影响。

The paper studies the tessellating algorithm of NURBS curve and surface, then puts forward the tessellating method of NURBS tri-parametric solids.

随后论文研究了NURBS曲线曲面的分割算法，进而推导出NURBS三参数实体的离散方法。

In order to assurance the maching accuracy and surface quality of steam turbine blades,based on typical CAD/CAM software Pro/Engineer 2.0,the flow diagram of parametric modeling and maching of turbine blades is drawn;The 3-D entity model of Steam Turbine Blade is upbuilt by parametric modeling method,and the fit-method with NURBS is extracted to smooth the curve surface,and the matrix expression of NURBS is deduced to make the surface more accurate;Then based on it's CAD model,the maching technology process...

为保证汽轮机叶片的加工精度和表面质量，以典型的CAD/CAM软件Pro /Engineer Widefire2.0中文版为基础，绘制了汽轮机叶片参数化设计加工的流程图；用参数化建模方法建立了叶片的三维实体模型，提出用NURBS曲线拟合方法进行光顺处理，并推导出NURBS的矩阵表达式便于截面型线的拟合，进而使叶片的造型更加精确；在CAD模型的基础上，分析了叶片的加工工艺流程，并用软件的CAM功能对叶片进行数控加工仿真，生成了NC代码。

In charpter one, the kinetics of Beckmann rearrangement reaction of the production of caprolactam has been studied. We used the hypothermia reaction data cited by the literature, Six kinetic models were proposed based on the possible radical reaction mechanisms and reasonable simplification. By employing the optimization technique, the optimum kinetic model was suggested.

本文利用已有文献报道的低温反应数据，结合重排反应过程的特点和现象，作出合理的建设和简化，推导出6种可能的重排反应机理，利用最优化计算技术，经过模型筛选，确定了最佳的动力学模型。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。