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Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descent-like algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descentlike algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

An exstensive research on the calculation formulas for the abutment cone slope on skewed bridges is conclucted.Calculation formulas of key parameters on slope curve are derived through analytic calculation of ellipse curve at slope bottom.The values of parameters are discussed and various forms of cone slope and curve at slope bottom are detailed.

以斜交桥梁桥台锥坡为锥坡的一般形式展开较深入的研究，通过对坡脚椭圆曲线的解析计算，推导得出坡脚曲线各控制参数的计算公式，并对其取值进行讨论，详细说明了锥坡和坡脚曲线的各种形式；进而推导了斜交锥坡的体积、护坡体积、表面积和基础体积的计算公式。

The result shows that the mixed boundary condition can greatly reduce the calculation area without affecting accuracy of the solution.It is followed by the higher accuracy of Dirichlet boundary condition which makes the boundary error greater when measured points is near the boundary, so we must take a sufficiently large border region.The homogeneous boundary condition has relatively large error, but the use of non-triangle poles devices makes apparent resistivity calculation error become small, because of elimination of the effect on potential difference for the infinite boundary. In inversion, in order to save computing time, homogeneous boundary conditions are often used to perform finite element forward calculation.

结果表明，混合边界条件精度最高，可大大缩小求解区域而不影响计算精度，其次是Dirichlet边界条件精度较高，但测点越靠边界误差会越大，必须取足够大的边界区域，齐次边界条件的误差比较大，但如果采用非二极装置，通过电位差计算得到的视电阻率，由于无穷远边界对电位差的影响基本消除，视电阻率计算误差与混合边界条件下的接近，在反演中，为了节省计算时间，经常使用齐次边界条件进行有限元正演。

A computer program was developed based on the minimum free energy algorithm, The program consists of several compute modules including assumption chemical molealar formula calculation, final combust resultant calculation of combusting chamber nd combustion temperature calculation in steady pressure etc.

编写了用最小自由能法计算的通用热力计算程序，程序中主要包括了假定化学式求解、计算燃烧室中平衡组分和确定燃烧产物定压燃烧温度等几个计算模块。

A computer program was developed based on the minimum free energy algorithm, The program consists of several compute modules including assumption chemical molealar formula calculation, final combust resultant calculation of combust ing chamber nd combust ion temperature calculation in steady pressure etc.

编写了用最小自由能法计算的通用热力计算程序，程序中主要包括了假定化学式求解、计算燃烧室中平衡组分和确定燃烧产物定压燃烧温度等几个计算模块。

Chapter 4 puts up the basic theory of non-linear finite element calculation methods and deduces calculation iterative formula and relevant accelerating iterative format. In the calculation of non-linear finite element, yielding element calculation is a difficult problem,"fictitious elastic stress" methods propounded in this paper puts the axe in the helve.

第四章提出了非线性随机有限元法的基本理论，并推导了计算迭代公式，为加快计算速度，提出了相应的加速迭代格式，对于基于非线性随机有限元的可靠度计算中，屈服单元的计算方法是一个难题，本文提出了"虚拟弹性应力"法，较好的解决这个难点。

The structural design is carries on the design calculation after the plan comparison and appraisal recommendation plan, this stage design primary mission is: The design material analysis and the structure arrangement, the king post endogenic force computation, the pre-stressed steel ties the estimate and the arrangement, the computation king post section geometry characteristic, the steel tie the loss of prestress computation, the king post section intensity checking calculation, the king post nose partial bearing strength checking calculation, the king post distortion checking calculation and part compositions and so on lane board computation.

结构设计是根据方案评比后的推荐方案进行设计计算，这一阶段的设计主要任务是：设计资料分析及构造布置、主梁内力计算、预应力钢束的估算及其布置、计算主梁截面几何特性、钢束预应力损失计算、主梁截面强度验算、主梁端部的局部承压强度验算、主梁变形验算和行车道板计算等部分组成。

The principle of programming is focused on easy understanding and good use. The basic calculating data of Dahuofang water diversion project is put into the program which the water hammer calculation begins.Part four, uses the advanced Bentley Hammer water hammer calculation software calculates several identical engineering conditions of Dahuofang water diversion project, and then compares the results with the results of programming calculation, and proofreads the accuracy of programming calculation.

程序编好后输进大伙房输水工程的基本计算数据就可以开始进行水锤计算。4、同时使用目前世界上比较先进的&Bentley Hammer&水锤计算软件，计算大伙房输水工程的几个相同工况，所得结果与编写程序计算的结果进行对比，对编写的程序的正确性进行校核。5、在证实了编写程序的正确性，公道性后。

Using the Visual-LISP language, the system software AutoCAD is developed secondary by editing the application program"The Calculation of Easement Curve", by which the route curve calculation can be combined with the curve diagramming, in order to simplify the complex calculation and to detect the calculation results with easy.

利用AutoLISP语言对系统软件AutoCAD进行二次开发，编制了&缓和曲线测设计算&等应用软件，使一系列的道路测设计算工作与作图相结合，使复杂的计算问题简单化，并易于检核。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。