条件表达式

Analytical expressions for electromagnetic fields of a vertical or horizontal electric dipole over the finitely conducting plane are derived subject to the boundary conditions; Sommerfeld type integral contained in Hertz potential is expressed as the sum of two parts: zeroth order Hankel function and an absolutely convergent series of spherical Hankel function.

在此边界条件下，推导出有限导电平面上垂直和水平电偶极子电磁场的解析表达式；赫芝位函数中的索末菲型积分被表达成零阶汉克尔函数与绝对收敛的球汉克尔函数级数之和的形式。

In the last chapter,we study the control problems of the distributedparameter system governed by a class of higher order pseudohyperbolicequation related to the symmetric regularized long wave equation.we havediscussed the controllability and optimal control problems.we have obtainedcompatibility condition of the constraint when the state is controllable,therepresentation of the optimal control for both the time optimal control problemand the optimal control problem of minimum energy type,and the equationsatisfied by the minimum time.we have shown that the optimal control belongsto the boundary of the admissible control set.

在第六章中，我们研究了与对称正则长波方程相关的一类高阶拟双曲型方程支配的分布参数系统的控制问题。讨论了系统的状态能控性问题和最优控制问题，给出了状态能控时的约束相容性条件，给出了最速控制问题、最小能量型最优控制问题的最优控制表达式和最速时间所满足的方程式，证明了最优控制属于控制集合的边界。

Based on a modified algebraic Riccati equation, this paper provides the conditions for the existence of the previous performance robust controllers.

基于一个修正的代数Riccati方程，给出了上述性能鲁棒控制器的存在条件及解析表达式，并举出相应的数值例子，以说明本文设计方法的简单性与直接性。

The relationship between stress and strain of concrete in prestressed concrete bridge s is written as algebraic form within load duration and the equilibrium equations of internal force and compatibility conditions are introduced.

首先将预应力混凝土桥梁中考虑收缩、徐变影响的任意时刻混凝土应力、应变关系在持荷时段内写成代数形式，引入内力平衡方程及变形协调条件后，提出了计入截面上钢筋位置、配筋率、预应力钢筋松弛、混凝土弹性模量随时间变化等影响的徐变效应分析的全量形式自动递进法，并建立了计算式，适用于任何形式的收缩、徐变特性表达式；基于建立的全量形式公式，可方便地求解任意时刻混凝土、钢筋的应力与应变和梁体竖向变形。

We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space Pm(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f1,…, fs) where f1(X=0,…, f s=0denote s algebraic hypersurfaces of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator.

给出了n维空间中s(1≤s≤n)个代数超曲面充分相交的概念，证明了n元m次多项式空间Pm在充分相交的代数流形S=s(f1，…， fs)（f1=0，…， fs=0表示s个代数超曲面）上的维数，并利用倒差分算子给出一个方便计算的表达式；构造了沿代数流形上插值适定结点组的叠加插值法；证明了在充分相交的代数流形上任意次插值适定结点组的存在性；给出代数流形上插值适定结点组的性质和判定条件。

On the basis of Bedrosian's product theorem, the condition under which the analytic expression of wideband signal is exact, is presented.

根据Bedrosian乘积定理，提出了宽带信号解析表达式成立的条件，并给出了实用的判别方法。

Theoretically the approximate conditions of the surface wave diffraction were analyzed,and the corresponding analytic expression of angle width of diffraction patterns was derived,which explained the asymmetry distribution well.

理论上对表面波衍射的近似条件进行了分析，得出了各级衍射条纹角宽度的解析表达式，解释了衍射条纹的非对称分布。

The calculations show that the approximation for the birefringence and the rotatory property of interaction material leads to an error in the optimum incident angle for TeO2 more than 10%, a diviation in fa-λ0 relation from experiment results, and make the spectral resolution and angular aperture of the device to be degrade.

结果指出，在该波长下，对晶体双折射取近似表达式和不计入晶体的旋光特性，对光波最佳入射角θi的选取(在θi小于60°的范围内)，将引入大于10%的误差，这个误差由于涉及到是否满足动量匹配条件，因此会对器件的性能有直接的影响。

Aim at the false-solutions(the meaning is the solutions do not satisfy the divergence theorem) of FEM, impose the magnetic divergence conditions

针对有限元数值解中存在的伪解问题(即求出的解不满足相应的散度条件)，推导出了强加散度条件的磁场有限元系数矩阵的表达式，本文混合法中的有限元系数矩阵即是在此基础上形成的。

The expression of one-dimensional mathematical model of vertical migration of ammonia in the CRI system is:The parameters in the CRI model are determined as following: the retardarce coefficient is determined by static isothermal absorption experiment, the velocity of sewage travel through the soil column is determined by permeability test, the vertical dispersion coefficient is determined by test the electric conductivity of tracer in the dispersion experiment, the rate of nitrification and denitrification is determined by test of Baps technology.

依据单一氨氮、硝氮配水条件下的试验结果，引入多孔介质的溶质运移理论及对流-弥散方程，考虑NH4+-N在CRI系统中的运移受到对流和水动力弥散作用的影响，并吸附-解吸、硝化与反硝化3个过程，首次将配水流经CRI土柱的孔隙水流速方程与CRI土柱内发生的、以氧为约束条件的硝化、反硝化过程联系起来，建立了CRI系统一维垂向氨氮运移转化数学模型，表达式为：研究分别通过静态等温吸附实验率定了模型方程中的阻滞系数、通过渗滤试验测定了土柱中的孔隙水流速、通过测定弥散试验中示踪剂的电导率确定了纵向弥散系数、通过气压过程分离技术测定了土柱中的总硝化与反硝化反应速率常数，最后通过测定土柱沿程氧化-还原电位的方法分析氨氮在CRI系统中的运移转化机理。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。