条件表达式

The results of experiments and analyses are as follows: under low density, there is no notable competition between individual plants, the function relation between height and biomass shows a "simple allometry"...

结果表明：植物在低密度条件下，个体间没有明显的竞争作用存在，株高与生物量之间表现为"简单的异速生长"关系，其异速生长表达式为 y =a + bx的形式；植物在高密度条件下，个体间存在着激烈的种内竞争，株高与生物量之间表现为"非线性的异速生长"关系，其异速生长表达式为 y =ax2 + bx + c的形式

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，并给出了其解的表达式，描述了求解问题的算法；讨论了带对称和双对称约束的总体最小二乘问题，利用Ricaati矩阵方程的理论得到了解存在的一个充分条件，分别对对称矩阵和双对称矩阵两种情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，给出了其解的表达式，提出了求解这些问题的算法，并给出了数值例子。

We have also found the sufficient and necessary conditions for the solvability of the above boundary value problem.

本文将在文[2]所建立的方程(1)的广义解一般表达式的基础上，讨论边界条件更为一般的斜微商问题，建立这一问题的解的表达式、问题的指标同解

Unified expression for the iterative of centers is described as to deduce the conditional probability expression of the centers and data weight functions for FKHM. Finally, the partition similitude is used to evaluate the result of clustering.

在中心迭代聚类算法的统一框架的基础上，推导出FKHM算法聚类中心的条件概率表达式以及在迭代过程中的数据点加权函数表达式。

Second, the van der Waals type cubic equation of state was used to calculate the critical pressure of the binary systems. By introducing the temperature and acentric factor into the mixing rule of attractive part of the equation of state, a new expression was set up.

对实验数据和文献数据的计算结果令人满意，并按照无约束条件最优化得到了相互作用参数表达式的系数值，更加说明本文建立的相互作用参数表达式是正确的和有一定理论基础的。

The assumption of the variable tendency of slip-line in active zone is made based on the numerical results. Combining the slip-line equations and boundaries, the formula of bearing capacity is deduced which can consider the density of soil. The formula of bearing capacity of strip footing on ponderable soil is also deduced assuming that the slip-line field of ponderable soil is the same with that of weightless soil, which is proved to be an upper-limit solution, as its the same with that deduced by the upper-limit method in Prandtl mechanism.

在数值计算结果的基础上，对有重土地基主动区滑移线变化趋势进行了合理假设，根据边界条件和特征线方程求得了条形基础极限承载力的解析表达式，该表达式可以计算考虑土重度的条形基础的极限承载力；获得了不考虑重度对滑移线场影响时(即有重土在普朗特尔滑移线场下)极限承载力的解析表达式，该表达式与普朗特尔机动场对应的极限承载力上限解的表达式相同，这就从理论上证明了在土重度对滑移线场没有影响这一假定前提下得到的极限承载力是一个上限；(3)利用上限定理求解了极限承载力的最小上限。

As the main part of this thesis, based on RSJ model, a symmetric DC SQUID is theoretically studied through two-dimensional Fokker-Planck equations, by using the "potential condition" in the case of steady state, the stationary probability distribution function of this system is obtained firstly in the accurate theory, meanwhile, the expressions of all the SQUID characteristics functions are obtained, for example, the circulating current, total normalized voltage and transfer function.

作为本论文的主体工作，我们以RSJ模型为基础，利用二维Fokker—Planck方程从理论上研究了对称型双结超导量子干涉器件，利用定态条件下的"势条件"得到了系统定态概率分布的精确解析表达式，进而得到了该系统所有特性函数如环路电流、总电压、调制函数的统计表达式，利用数值计算讨论了各种参数对DC SoL71D系统特性的影响。

Three analytical solutions are given including the wet front analysis solution of double medium soil column,the analytical expression of piezometric tube water head and saturation for steady state and the analysis solution of seepage in unconfined aquifer with a periodic boundary condition.

推导了双介质土柱表层水入渗的下渗锋面解析表达式、稳定状态时测压管水头分布与饱和度分布的解析表达式，并给出了有周期性边界条件的有限潜水层内渗流自由面的解析表达式。

Then the finite difference method is employed to predict the thermal regime in asphalt pavement structures with a specific program. After itemizing the flaws in existing pavement temperature prediction theoretical methods, the boundary condition and the thermal parameters are confirmed.

然后通过对现有沥青路面温度场理论计算方法的详细分析，确定出了有限差分计算模型中的边界条件表达式以及材料热物理参数的合理取值范围。

In this for, the expression uses the prefix increment operator, which as we know adds one to the value of val. After executing the expression , the for retests the condition . If the new value of val is still less than or equal to 10, then the for loop body is executed and val is incremented again. Execution continues until the condition fails.

在这个 for 循环中，表达式使用前自增操作符， val 的值加 1，执行完表达式后， for 语句重新测试条件，如果 val 的新值仍小于或等于 10，则执行 for 语句体， val 再次自增，继续执行直到条件不成立。

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。