| 1. | In ancient india conventional mathematics termed ganitam was known before the development of algebra
在古代印度，在代数发展之前的常规计算术语就叫做甘尼坦。 |
| 2. | Furthermore , comparing experiment data and actual method , we prove the numerical model is more precise
同时进行了数值模型与实验数据和常规计算方法的比较，从而论证了数值模型的精度提高了很多。 |
| 3. | The causes of abnormal axial force , which were found out by means of general analysis and finite element analysis , and the projects to eliminate abnormal axial force
通过常规计算及有限元分析，寻找出直齿行星轮机构产生异常轴向力的原因，并提出了消除异常轴向力的方案。 |
| 4. | Abstract : by using the principle of the reliability optimum design , combining general calcu lation method , the article analyzed the reliability opgimum calculation method of the over surplus quantity of the hydraulic pressure sheath screw propeller , and validated its correctness through example
文摘:运用可靠性设计优化设计原理，结合常规计算方法，分析了螺旋桨液压套合过盈量的可靠性优化计算方法，并结合实例，验证了其正确性 |
| 5. | Students receiving spbi will perform significantly better than students receiving instruction traditionally on tasks assessing the use of mathematics to solve problems related to real life . 3 . students receiving spbi will perform significantly better than students receiving instruction traditionally on tasks assessing creatively problem - solving 4
学生在作业一中的成绩显示：采用spbi与不采用spbi相比，学生在创造性地解决问题方面有显著差异，在解决实际问题方面差异不显著，在掌握基本知识和进行常规计算方面差异不显著。 |
| 6. | Through the analysis we found that the effect will become more obviously with the increase of thickness or width of superstratum and the decrease of the coefficient of foundation bed ; ( 3 ) anisotropy and nonlinear elastic f . e . m . model has been established and the effect of stress dispersion in compound two - layer foundation was analyzed on the base of the model . from the analysis we can conclude that the coefficient of subsidiary stress dispersion will amplify with the increase of thickness or width or stiffness of back - up coat ; ( 4 ) the formula which can be used in conventional calculation has been deduced for calculating the coefficient of subsidiary stress dispersion and it also has been affirmed to be reasonable through the checking calculation ; the whole theory of compound two - layer foundation has been brought forward in this paper and it ' ll enrich the theory of composite foundation
针对以上问题本文做了以下一些工作并得到若干结论： ( 1 )提出了“复合双层地基”的概念，并通过工程实例证明此概念的提出有其合理性和必要性； ( 2 )用弹性地基梁理论证实了复合双层地基确有应力扩散效应，且扩散效应随上覆硬层厚度、刚度的增加而增大，随下卧层基床系数的增大而减小； ( 3 )建立了非线弹性、各向异性有限元模型，并以此为基础分析了复合双层地基的应力扩散效应，得到附加应力系数随加固层厚度、宽度、刚度的增加而增大的结论； ( 4 )推导了可用于常规计算的复合双层地基应力扩散系数公式，并代入工程实例进行了验证。 |
| 7. | Students receiving spbi wo n ' t perform significantly better than students receiving instruction traditionally on routine - tasks assessing computation and recall of basic facts . we developed two cognition assessment instruments ( cai ) , one called tasks i is for unit - theme - situation experiment , and the other one called tasks ii is for mini - situation experiment
学生在作业二中的成绩显示:采用spbi与不采用spbi相比，学生在提出数学问题、解决实际问题、和创造性地解决问题方面有显著差异，在掌握基本知识和进行常规计算方面成绩好的一组无显著差异，成绩差的一组有显著差异。 |
| 8. | Contrast with the results , the dissertation discover that in the three type foundation of strip foundation , raft foundation and pile - raft foundation , the structure system with strip foundation has large deformation and forces variation ; the structure system with pile - raft foundation show mini different contrast with the norm calculation
对比分析了条形基础、筏板基础及桩筏基础等三种基础形式下土与交错桁架结构体系共同作用的反应，指出条形基础的交错桁架结构体系变形及内力会产生较大变化，桩筏基础的交错桁架体系变形与不考虑共同作用的常规计算结果较为接近。 |
| 9. | The values obtained from the optimum calculation are compared with that from the conventional calculation , and the result shows that , by means of the optimum design , under the given restrains , the pipe heat exchanger can operate well with a reduction of over 25 % heat transfer area
实例优化计算结果与常规计算结果的比较表明，优化设计可使管式换热器在满足给定约束条件下，节约25 %以上换热面积，提高管程和壳程的流速，从而提高传热系数，最终得到操作、能耗和投资等方面的最佳经济结构。 |
| 10. | In this dissertation we research the inversion pattern of three water through environment isotope information analysis , evaporation pattern analysis and inversion analysis of groundwater ; quantitatively analyse inversion amount through rule computational method and numeric value imitation , supplying scientific foundation for evaluation of water resources and rightful development and use
论文通过环境同位素信息分析、潜水蒸发试验分析、近河岸地带地下水动态分析研究三水转化规律特征；采用常规计算方法和数值模拟方法，定量分析地下水各转化资源量。为研究区水资源评价及合理开发利用提供了科学依据。 |
