最优条件

Missirlis in article [1]. At the same time, a sufficient condition for convergence of the PSD method is given to be compared when the coefficient matrix A of the linear system Ax = b is a symmetric, positively defective matrix. In §3.2, an example is given to state that the range of our sufficient condition is wider than theorem 3.3 of article [1]. On the other hand, following a.n analogous approach of [14] and starting the functional relationshipwe have a perfect analysis for the PSD method to converge and optimum valves for the involved parameters under different conditions.Under the assumptions that A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are real,we get necessary and sufficient conditions for the PSD method to convergence.The result is equal to theorem 1 of article [9].Under the same condition, we can see the optimal parameter and of corresponding spectral radius of thePSD method in [8]:(2)When A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are imaginary or zero,we get necessary and sufficient conditions for the PSD method to convergence.In chapter 3, the optimal parameter and of corresponding spectral radius of the PSD method are given by table 3.3. Moreover, under the assumption 0

Missirlis在文献[1]中定理3.3的不准确，同时给出了当线性方程组Ax=b的系数矩阵A为对称正定阵时，PSD迭代法收敛的一个充分条件与之比较，并且在§2.3中用实例说明了对于一部分矩阵而言本文得到的充分条件广于[1]中定理3.3的充分条件；另一方面，按照文献[14]的方法，我们从PSD迭代法的特征值λ与其Jacobi迭代矩阵B的特征值μ的关系式：出发，在不同条件下对PSD迭代法的收敛性和最优参数以及最优谱半径进行了完整的分析：(1)在系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为实数的条件下，给出了PSD迭代法收敛的充分必要条件，此结果与[9]中的定理1等价，此时最优参数及最优谱半径由[8]得：(2)第三章表3.3中给出了，当系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为纯虚数或零时的PSD迭代法的收敛范围和最优参数，并且我们可以得到当0

Theequivalence percolation resistance law is accurate enough to be used in productivitycalculation of horizontal well pattern.(3) Productivity of mixed well pattern of horizontalwell or multilateral horizontal well and vertical well is constructed and formulae are simpleenough to be used in the oilfield. The patterns include 5-spot pattern,7-spot pattern and9-spot pattern.(4) Productivity formula of united rectangular well pattern of horizontaland vertical wells is constructed. By this formula, the calculation results show that fora horizontal well length, there is a shape factor at which the productivity of the patternis biggest. So optimum method of the well pattern is proposed.(5) A new concept ofdimensionless length of horizontal well is advanced and the relationship of optimum shapefactor of the rectangular well pattern against dimensionless length of horizontal well ispresented. The influences of length of the horizontal well, area of the well pattern unitand the thickness of reservior are concerned.

利用该公式计算表明：当水平井长度一定时，存在一个最优井网形状，使得水平井的产能最大，在此基础上提出了水平井井网的优化方法；(5)提出了水平井无因次长度的概念，给出了联合井网最优井网形状因子与水平井无因次长度的关系式，并对水平井长度、油层厚度及井网面积对产能的影响进行了分析；(6)推导出了一无限水平井井排在XY 平面内势的解析解，为不同水平井整体开发井网或水平井和直井井网整体开发渗流理论的研究奠定了理论基础；(7)建立了交错式水平井与直井整体开发渗流理论，给出了拟三维条件下井网产能的精确解析解及该井网最优井网形状因子与水平井无因次长度的关系，并对产能的影响因素进行了分析；(8)建立了水平井与水平井正排列井网、交错排列井网条件下渗流理论及井网产能在拟三维条件下的精确解析解，给出了交错井网条件下最优井网形状因子与水平井无因次长度的关系，通过与正方形井网对比，说明优化井网可大幅度提高开采效果；(9)建立了分支水平井和直井面积井网水油两相非活塞驱替条件下渗流问题的解析解，给出了见水前后无因次产量与无因次时间的关系式以及见水时间等。

The optimization of RAPD reaction condition were established to determine the relationship of seven species of Michelia.

［目的］确立含笑属植物RAPD反应的最优条件，确定7种含笑属植物的亲缘关系。

Above all, the optimum synthetic condition of the photoactive compound is that acetone/water (85:15, volume ratio) is applied as the solvent and Et3 N is applied as the catalyst.

得到合成感光剂的最优条件：丙酮和水作溶剂的体积比为85：15，三乙胺作催化剂。

Assisted with ultrasonic radialization, the optimized conditions for biodiesel production catalyzed by calcined Zn-Mg-Al hydrotalcite were obtained.

以纳米Zn-Mg-Al高温煅烧物为催化剂，高酸值小桐子油为原料，超声波反应器中连续生产生物柴油，并系统研究超声波辐射协同纳米催化剂催化制备生物柴油的最优条件。

Experimental results show the best conditions with the highest ability to degrade thiuram and TM1 has the highest ability to degrade thiuram among the three bacteria.

将3株单菌按一定方式混合制成T1、T2、T3、T4 4组混菌，用单菌降解秋兰姆的最优条件对4组混菌进行降解性能实验，其中混菌T1对秋兰姆降解率最高，降解率可达95.77%。

Accordingly, the formation velocity of crystal grains will exceed the growing velocity, which results in the refining of the crystallites of Ni-SiC electrodeposits and finally in nanostructured composites.

二者的共同作用导致了Ni-SiC复合薄膜晶粒的细化和最优条件下的整体纳米结构复合薄膜。

Under the optimal reaction conditions the acid value of the esterified production is the lowest,and the esterified degree is complete.

在最优条件下，鱼油的乙酯化产品酸值最低，乙酯化程度最高。

HNIW was obtained by the nitrolysis of TADNSIW and TAIW using N_2O_5/HNO_3 as nitrating agent. Several effects on the yield, purity and crystalline form of product were analyzed. In the best conditions, the yield of HNIW was 87.2% and 89.2%, the purity was 96% and 99%, they were all mixtures ofα-HNIW andγ-HNIW.

分析了各种因素对产物收率、纯度及晶型的影响，在最优条件下，HNIW的收率分别为87.2％和89.2％，纯度分别为96％和99％，产物均为α-HNIW和γ-HNIW的混合物。

According to the orthogonal experiments, the optimal transesterification conditions for rapeseed oil and methanol catalyzed by sodium methoxide were obtained: molar ratio of methanol to oil 6:1, amount of catalyst CH3ONa 1.2% of the oil weight, molar ratio of the cosolvent isopropylether to oil 1.2:1, reaction temperature 60℃, reaction time 80 min, the low speed of mixing intensity 120 rad/min, The yield of biodiesel was 96.45%.

通过正交试验得出菜籽油与甲醇酯交换反应的最优条件为：醇油比为6：1，甲醇钠催化剂用量为油重的1.2%，共溶剂与油的摩尔比为1.2：1，反应温度60℃，反应时间80min，低速120r/min搅拌强度下，转化率达到96.45%。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。