1) Integral curve
积分曲线
1.
Stability of solutions for a class of singular integral equation for an open arc with respect to the pertubation of integral curve;
开口弧上一类奇异积分方程的解关于积分曲线摄动的稳定性
2.
The first order hidden equation integral curve’s intersection has been studied through the example.
通过例子对一阶隐式方程积分曲线之相交性进行了直观研究。
3.
This paper illustrates that after gaining the general solution of differential equation based on elementary integral method,further extension of the result should also be drawn into consideration,so as to get the integral curve defined in a wider range.
本文阐述了在用初等积分法得到微分方程的通解表达式后,还要考虑将结果做充分的延展,以便得到定义在更大范围内的积分曲线族。
2) integrated curve
积分曲线
1.
From the energy equation for the steady and gradually varied flow; this paper derives a method of graphing river level curves with the absolute elevation and the equalized integrated curve of the cross-section characteristics of the river; and illustrates the calculating and graphing steps of the method by an example.
从恒定、渐变流河段能量方程式中推导出以高程与河道断面特性平均积分曲线图解河道水面线的方法,并通过某河段水面线计算实例说明了此方法的计算图解步骤。
3) curvilinear integral
曲线积分
1.
Bearing capacity of normal section for bridge calculated by curvilinear integral;
用曲线积分计算桥梁正截面承载能力
2.
The application of symmetry to the calculation of curvilinear integral and camber integral;
对称性在曲线积分及曲面积分计算中的应用
3.
This paper studies the curvilinear integral∮ L[xn-1yn-1(-ydx+xdy)]/[x2n+k2y2n]where L is a sectioned smooth and no multiple points closed curve, n is some natural number, k is some positive number.
本文研究曲线积分(?)(x~(n-1)y~(n-1)(-ydx+xdy))/(x~(2n)+k~2y~(2n)) ,其中L是公段光滑无重点的闭曲线,n为某一自然数,k为某一正数。
4) curve integral
曲线积分
1.
Application of Newton-Lebniz formula in plane curve integral and space curve integral.;
牛顿-莱布尼茨公式在平面曲线积分和空间曲线积分中的应用
2.
In light of the approximation of Muskingum flood calculation model,an improving model on average flow within prescribed time in flood calculation is presented using curve integral instead of general arithmetic mean.
针对马斯京根洪水演算模型的近似性问题,用曲线积分法改进了原模型中时段流量的简单算术平均值法,并利用连续性空间优化问题的蚁群算法对改进的马斯京根洪水演算模型进行参数最优估计,使演算流量更加接近实际。
3.
Average flow within the prescribed time in flood calculations is worked out tising curve integral instead of arithmetic mean.
用曲线积分代替算术平均法来计算洪水流量演算中的时段平均流量,减小了时段 △t对流量值的影响,使计算流量更接近实测值。
6) complex curvelinear integral
复曲线积分
补充资料:积分曲线
积分曲线
integral curve
积分曲线「汕魄”l~;“,印~如冲。Baa] 正规常微分方程组 y’=f(x,y),y‘R”的解夕二夕(x)的图象.例如,方程 X y=一— y的积分曲线是圆xZ十yZ=cZ,其中c是任意常数.常常认为积分曲线与解没有区别.标量方程 y‘二f(x,夕)(*)的积分曲线的几何意义如下所述.方程(‘)定义了平面上的一个方向场(山代戈石。n field),即一个方向向量场,使在每个点(x,力处向量对x轴倾角的正切等于f(x,y).于是(*)的积分曲线就是在其上各点处的切线与在该点处的方向场的向量重合的曲线.方程(,)的积分曲线族填满满足下述条件的整个区域:函数f(x,y)在该区域内满足保证O因妙问题(Ca那hyprobhrn)解的存在性和唯一性条件;这些曲线互不相交也互不相切.【补注】正规微分方程组(加m创Systenl of different泊1叫班川。ns)是形如 d”‘X*一 dt”人 _/dx.d、· 二F。lx,.‘二‘止-.…二x,.‘二二之.…二 一“又一‘’dt”‘一‘’dt dx、 x,,扩,‘.‘少“一’,一。的微分方程组,其中函数F*只依赖于djx,/dt,,少
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