简化

Such simplified 1-D Burgers model is extended to 3-D case as the usual treatment like 3-D Hooke's law. Based on the above assumptions, the downward and upward plastic deformations of asphalt pavements have been calculated.

利用刚塑性假定简化一维Burgers模型，从而简化了沥青路面的永久变形计算，据此假定将一维的沥青混合料Burgers模型推广至三维Burgers模型，类似于三维虎克定律。

The rigid-plastic assumption simplifies the 1-D Burgers model and thus simplifies the calculation of plastic deformation.Such simplified 1-D Burgers model is extended to 3-D case as the usual treatment like 3-D Hooke's law.

利用刚塑性假定简化一维Burgers模型，从而简化了沥青路面的永久变形计算，据此假定将一维的沥青混合料Burgers模型推广至三维Burgers模型，类似于三维虎克定律。

On the basis of these theories, The specific project—the hyperbolic paraboloid shell structure named Shijingshan Gymnasium is introduced, and the finite element model is established, including calculation of load, simplification of node nature and simplification of support.

在这些理论的基础上，引入工程实例——石景山体育馆双曲抛物面网壳结构，建立有限元模型，包括使用荷载的计算、节点性质的简化、支承的简化等。

In the case of simply supported ends, the Galerkin method is used to simplify the integro-partial-differential equation into an integro -differential equation. The equation is further simplified into a set of ordinary differential equations by introducing an additional variable. Finally, the numerical methods in modern nonlinear dynamics such as phase plane trajectory, power spectrum and Lyapunov exponents are adopted to investigate the dynamical behavior of the beam.

对于两端简支的情形，采用Galerkin方法简化为常微分－积分方程；然后通过引进附加变量的方法进一步简化为常微分方程；最后利用相平面图、功率谱和Lyapunov指数等非线性动力学中的数值方法识别梁的动力学行为。

Through comparing the calculated values with experimented results, the research result indicates that the actual situation of the lattice beam can be well reflected by using two stages Moreover, the simplified foundation pressure is of benefit to the hand labor calculation.

通过对比分析理论计算最大值、采用简化的地基反力计算值和实测值，结果表明采用两阶段设计能较好地反应格构梁的实际受力情况，且设计安全，而简化的地基反力为手工计算带来了方便。

In addition, an effective method is proposed to select the β-reducts. First, we calculate a precision parameter value to obtain the subsets of information system that are based on the least upper bound of the data misclassification error. Next, we measure the quality of classification and remove redundant attributes from each subset.

本论文也提出一个根据精确参数来选择最简化集合的方法，这方法首先利用资料错误率的最小上界来决定精确参数值，并利用所获得的精确参数值来寻找资讯系统的子集合；接著计算每一个子集合的分类品质并利用分类品质的量测移除子集合中多余的属性，而删除多余属性的子集合即β的最简化属性集合。

Paper puts forward the method of read DICOM field in term of sequence, reduces the time of read DICOM file in order to mend the arithmetic efficiency of read DICOM file information. Paper introduces two concept, slope and shift, reduces the linear interpolation function of VOI LUT (Value of Interest Look Up Table), and uses the way of make real number operation into integer operation to simplification the linear map function, thereby makes the image zoom speed up. Paper depicts the class and function of image measure and label particular at last, and analyses actualize step of the operation of measure and label.

论文提出严格按照顺序读取DICOM字段的做法，尽量减少访问DICOM文件的时间以加快读取DICOM文件信息的算法效率；论文中引入斜率和偏移量这两个概念，简化了VOI LUT转换的线性插值函数，并采用将实数乘除转化为整数运算的方法简化线性映射函数，从而加快了图像缩放的速度；论文最后详细描述了图像测量和标注用到的类和函数，并分析了具体的测量和标注操作的实现步骤。

The method to get it can be used to simplify the proving process of some logic equations,as well as some design processes of logical circuit.

利用这种表示反函数的方法，可简化一些逻辑等式的证明过程，并可使一些逻辑电路的设计过程简化。

The main work and innovation1 In general , a image compression method has different effect to different image . Some are fit for image which has much high frequency . Some are fit for image which has much low frequency .This paper analysis the applicability of fractal algorithm . In this dissertation , an improved algorithum is given . The basic algorithum without eight change and the joint use of quantitative coding , The compression ratio and PSNR can be adjusted , and it can get more quickly speed of coding .2 To a group of exact fractal code , the decoding image can be any resolution .With this characteristic ,choose the proper domain block and range block,this paper get an algorithum which can get higher decoding PSNR and speed than the basic fractal algorithum.3 Give a new method to calculate the scale factor . The calculation of basic algorithum is complex and enormous . The factor of scale is an important variable of the basic algorithm. Now there are two methods to calculate the factor of scale .A new method was given to calculate the factor of scale. The calculation load and complexity are reduced by the new method. Compared with the basic algorithm , the method can reduce coding time.4 The basic fractal algorithum is based on the Collage theorem and contraction mapping theorem . A mathematic model based on basic fractal algorithum is given .

本文的主要工作及创新点主要包括以下几点：1一般情况下，一种图像压缩的方法对不同特点的图像，压缩效果会有所不同，本文利用分形压缩编码对不同特点的图像进行编码，分析了分形编码对不同图像的编码适用性，利用去掉8种变换的分形编码算法与简单的均匀量化编码方案相结合，得到了一种可以调节压缩比与解码质量的分形编码方案，该提高编码速度6倍以上。2分形编码的特点之一是分形解码的分辨率无关性，即对于一组分形编码可以将其解码到任意分辨率下，本文利用分形编码的这一特点，结合不同的量化编码方案，选择合适的定义域块与值域块及适当的编解码分辨率，得到了一种提高解码质量，编码速度提高12倍以上的加速算法。3比例因子是基本分形算法中的一个重要变量，目前有两种计算比例因子的方法，文中给出了一种新的求比例因子的方法，该方法简化了求比例因子的计算，从整体上减小了基本分形算法的计算量，简化了算法4分形压缩的数学基础是不动点定理与拼贴定理，本文根据基本的自动分形编码方法，建立数学模型对其进行推导，得到了用普通数学的极限理论解释分形编码的数学表达式，从而对由基本分形编码得到的解码图像中的像素点的值给出了确定的表达式。

CPL language based on ALGOL 60 close to the hardware, but relatively large scale, it is difficult to achieve. University of Cambridge in 1967 of the Matin Richards made to simplify the language of CPL, the introduction of the BCPL (Basic Combined Programming Language) language. In 1970 the United States Ken Thompson of Bell Labs to the basis of language BCPL, but also further simplified the design of a very simple hardware and is very close to the B language and language with B first UNIX operating system, the PDP-7 to achieve.

CPL语言在ALGOL 60的基础上接近了硬件一些，但规模比较大，难以实现。1967年英国剑桥大学的Matin Richards对 CPL语言作了简化，推出了BCPL（Basic Combined Programming Language）语言。1970年美国贝尔实验室的 Ken Thompson以 BCPL语言为基础，又作了进一步简化，设计出了很简单的而且很接近硬件的 B语言（取 BCPL的第一个字母），并用 B语言写第一个UNIX操作系统，在PDP-7上实现。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失