| 1. | A curve integral method of flood calculations in average flow within the prescribed time
洪水演算中时段平均流量计算的曲线积分法 |
| 2. | Similar formulae hold for a line integral of the second type taken over a space curve
对于空间曲线上的第二类曲线积分也有类似的公式。 |
| 3. | A line integral of the second type changes sign when the direction of the integration path is reversed
当积分路径改变方向时,第二类曲线积分改变符号。 |
| 4. | It gives a relationship between a surface integral over an oriented surface and a line integral along a simple closed curve
它建立了有向曲面上的曲面积分与它的边界曲线积分的关系。 |
| 5. | This paper is devoted to studying the asymptotic behavior of the intermediate point in the mean value theorem for first form curve integrals . a general result is obtained
摘要讨论了第一类曲线积分中值定理“中间点”的渐近性质，得到了更具一般性的新结果。 |
| 6. | From three respects in calculus teaching , this paper has mainly discussed magical effect of physics meaning of questions , which is curve integration curved surface integration and sum of series formula
摘要微积分的教学离不开问题的物理意义，文章从曲线积分、曲面积分以及级数求和公式的推导等三个方面来说明问题的物理意义在微积分教学中的妙用。 |
| 7. | Using the method of conversing double integrals into linear integrals , we obtain two theorems and their corollaries for double integrals of linear - fractional homogeneous functions with two variables , and construct some typical examples that are difficult to be calculated by ordinary methods to illustrate their applications
摘要通过把二重积分转化成曲线积分，得到二元分式线性齐次复合函数积分的两个定理及其若干推论，并构造一些比较典型的用一般方法难以计算的例子说明结论的应用。 |
| 8. | Abstract : a new algorithm of area filling of geometry graph has been proposed . in this algonthm based on the area calculating theory of closed graph with curvilinear integral . the redundant judgement of inner pixels in the area has been eliminated and the defect of polygon area filling algorithm , which has some limitations to the graph shape , has also been overcome
文摘:基于曲线积分求封闭图形区域面积的基本原理，提出了一种新的几何图形区域填充算法.该算法不需要对区域内点进行重复判断，也克服了多边形填充算法对区域形状有一定要求的缺点 |
| 9. | 4 . with visco - elastic boundary of soil considered , the eigenvalue equation in frequency domain of soil dynamic equilibrium equation falls into a complex transcendental equation . in course of seeking its solution , based on argument principle and contour integral , with the aid of matlab , two numerical algorithm combined with the corresponding procedures for solving transcendental equations in a complex plane is developed by the author
4 、由于考虑了土体的粘弹性支承边界条件，使得其动力平衡方程在频域内的固有值方程为一复数超越方程，为了求解该方程，笔者基于幅角原理和闭合曲线积分，结合matlab ，提出了复平面上超越方程的两种数值解法，并编制了相应的程序。 |
| 10. | By the help of geometric significance of plane or space curve and space surface , and by use of the symmetry of curve and surface to coordinate axis and coordinate surface , how to use the symmetry to calculate the surface integral and curve integral is discussed for the odd ( even ) functions that are defined on the curve or surface with symmetry
摘要借助于（平面）空间曲线及空间曲面的直观几何意义，利用曲线、曲面关于坐标轴及坐标面的对称性，探讨了对于定义在具有对称性的曲线、曲面上的奇（偶）函数，如何利用对称性计算曲线积分及曲面积分。 |
