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Methods: In accordance with conventional reporter gene analysis reagent preparation method, the main component Luciferase, Luciferin and ATP were serial diluted to find the optimal concentration; Reaction solution was prepared according to the optimal concentration of the main component, then ATP were serial diluted to measure their reporter gene. Then standard curve of ATP were drawed. Tumor cell lines H1299 were serial diluted and their ATP were measured by reaction solution prepared to analyse the minimum cell number.

按照常规报告基因分析试剂配制方法，将其中主要成分Luciferase和Luciferin及ATP浓度进行倍比稀释后找到最适合反应的最佳浓度值；按照最佳浓度配制反应液，将ATP浓度倍比稀释测定报告基因数值并绘制标准曲线，分析检测灵敏度；另外选取肿瘤细胞株H1299，倍比稀释后裂解细胞应用配制好的反应液进行ATP检测，分析最低检测细胞数。

Male mice were divided into contrast group, malate group, malate oligosaccharide solution group, malate complex nutrient solution.

实验动物为昆明种小鼠66只，分为对照组、服用苹果酸溶液组、苹果酸糖液组、含苹果酸的复合营养液组。

However, methods and references for difference equation are relatively less. The new method proposed in this paper transfer the complex boundary value problem into the existence and uniqueness of the solution of the linear equations. For linear case , we obtained the necessary and sufficient conditions for the existence and uniqueness of the solution for the BVP; For the nonlinear case ,we got a series of new sufficient conditions by using contraction mapping theory and cone theory .

而差分方程边值问题的研究方法和文献还很少，文中新的研究差分方程边值问题的方法是将复杂的边值问题求解转化为代数理论中的线性方程组解的存在和存在唯一问题；对线性情形，较容易地获得了边值问题的解存在以及唯一的充分必要条件，而对非线性情形，则通过压缩原理和锥理论等各种不动点定理，获得了一系列新的充分条件。

The exact solution and approximate analytical solution of the mathematical model for constant rate production are obtained by using Laplace transform.

引入异常扩散指数θ，运用该参数来刻画裂缝网络的连通状况，并能反映渗流发生在裂缝网络时的异常情况。

Keywords constrained matrix equation problem;sub matrix constraint problem; matrix norm; optimal approximation solution;least-squares solution

约束矩阵方程问题；子矩阵约束问题；矩阵范数；最佳逼近解；最小二乘解

Using the method of dividing variables , the solution of elastic dynamics can be changed into the eigen value problem of Hamilton's space differential operator matrix , and the total solution of dual variables (modal strain and modal strain rate ) can be obtained by expanding the eigen solutions .

尽管方程的个数增加了1倍(未知量个数增加了1倍)，但方程对时间微分的次数下降到1阶。通过分离变量后，可以将其转变为Hamilton空间算子矩阵的本征值问题，从而使复杂力学问题的解析解成为可能。

Using the method of dividing variables , the solution of elastic dynamics can be changed into the eigen value problem of Hamilton s space differential operator matrix , and the total solution of dual variable s (modal strain and modal strain rate ) can be obtained by .

采用分离变量方法，将弹性动力学解转变为Hamilton空间算子矩阵的本征值问题，对偶变量的全解通过本征解来展开而获得。

In addition, in the solution set of corresponding equation, the expression of the optimalapproximation solution to given matrix is derived.

另外，导出了在线性流形上矩阵方程的解集合中与给定矩阵的最佳逼近解的表达式。

In addition, in the solution set of corresponding equation, the expression of the optimal approximation solution to given matrix is derived.

另外，导出了在矩阵方程的解集合中与给定矩阵的最佳逼近解的表达式。

First, a new explicit parametric solution of the matrix equation is proposed. Second, an existing solution of this matrix equation is extended.

首先给出了该矩阵方程的一种新的显式参数通解，其次对该矩阵方程已有的一类显式参数解进行了推广。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。