| 1. | The fourier transform is an integral expression for a fourier series applied to an infinitely long signal .
傅里叶变换式是对博里叶级数的一种积分表达式。 |
| 2. | The integral expression of maximum permanent of a class of - matrices
矩阵的最大积和式的积分表达式 |
| 3. | The solvability of the oblique derivative boundary value problem for elliptic complex equation of third order in the unit disk was proved , and the integral expression of its solutions was given
摘要在一定条件下证明了单位圆盘上的三阶非线性椭圆型复方程的斜微商边值问题的可解性，并给出了其积分形式的解。 |
| 4. | In computation of stiffness matrix , the calculation of double singular integration is needed . the exactly integral formula is used in the inner integral expression , and the numerical integral formula is used in the outer integral expression
在计算单元刚度矩阵时，对二重积分的第一重使用精确积分，第二重使用数值积分，从而有效的克服了奇异积分的计算。 |
| 5. | In this way , the surface integral expression of spatial triangle can be obtained with triangular mesh subdivision of the closed surface , constructing isoparametric transformation , building 1 - 1 corresponding relationship between spatial and standard triangle
构造等参变换，建立任一空间三角形与标准三角形的1 - 1对应关系，推导出空间三角形上的曲面积分表达式。 |
| 6. | Firstly , based on nusselt ' s theory , a three - dimensional coordinates model is built to deal with condensation heat transfer on the side of the fin . with the model , the condensation heat transfer mechanism on the side of the fin is analyzed . as a result , an integral expression is obtained to calculate the condensation heat transfer coefficient on the side of the fin
首先，本文以nusselt理论为基础，运用三维坐标建立了肋片侧面的冷凝传热模型，对肋片侧面的冷凝传热机理进行了分析，得出了肋侧冷凝表面传热系数的积分表达式，并与传统解法的理论公式进行了比较。 |
| 7. | In chapter two , we consider the non - ruin probability . in section one . by adapting the techniques in [ 5 ] , we obtain the integral expression of non - ruin probability in section two , firstly , we prove the twice continuous differentiability of non - ruin probability , then we obtain the integral - differential equation satisfied by ( u ) in section three , we introduce the auxiliary function e ( u ) . as u = 0 , gives 0
类似于[ 5 ]中的方法得到不破产概率满足的积分表达式在第二节中，首先证明了不破产概率的二次连续可微性，然后得到不破产概率满足的积分-微分方程由于不破产概率零初值时的值不确定，我们在第三节中引入了辅助函数e _ ( u ) ，使得u 0时， e _ ( 0 ) 0 。 |
| 8. | Thereby the complicated evaporation process of heterogeneous soil surface is simplified into a flux integral expression which contains two - pail contributions from soil water relatively saturated region and unsaturated region , and it is proved that the calculation of mean evapotranspiration efficiency in grid region can be simplified into weighted average of heterogeneous regions
从而将非均匀地表区域的蒸发过程的复杂机制分解为地表层土壤水分饱和区与非饱和区影响下的通量贡献积分式，从理论上证明，网格区平均蒸散率的计算可简化为不同性质的区域加权平均。 |
| 9. | By means of an integral expression of non - linear dynamics equation an explicit precise integration algorithm with four order accuracy and self - correct and self - starting to solve this equation is given . this method is adapted to solve the non - conservative system with multi - dof and strong nonlinear . the non - linear dynamic equations are divided into some blocks or groups
给出了求解非线性动力学方程的精细积分表达式，利用插值近似该方程的非线性项，得到一个具有四阶精度并且是单步显式、自起步、预测-校正的lagrange (或hermite )插值精细积分算法，适于强非线性、非保守系统。 |
