查询词典 addition theorem

In the process of calculation, by comparison theorem and strict calculation, some sufficient conditions for persistent and extinct of three populations are obtained.

推导过程中主要应用了比较定理，并且通过严密的计算，得到了三种群持续生存性和绝灭性的充分条件。

Making use of the comparison theorem, some sufficient conditions are derived for permanence of the system and non-permanence of predators.

运用比较定理，得到了系统持久生存和捕食者灭绝的充分条件。

By analytical method and comparison theorem, some sufficient conditions for uniformly persistent of two populations and the whole system are obtained.

利用分析法和比较定理，得到两种群分别一致持续生存以及整个系统一致持续生存的充分条件。

Establishing a novel Razumikhin type comparison theorem, input-to-state stability of Hopfield neural networks is studied.

建立新的Razumikhin型比较定理，用以研究Hopfield延迟神经网络的输入—状态稳定性。

By using of the comparison theorem and some results, some sufficient and necessary conditions are derived for permanence of the periodic system and non-permanence of predators.

运用比较定理和一些主要结果，得到了系统永久持续生存和捕食者灭绝的充分必要条件。

In the first chapter, we research the dynamics of population which were in the polluted environment, we will: give the corresponding mathematical model;(2): obtain the explicit conditions for the threshold of the population by means of comparison theorem.

第一章是研究污染环境中种群的动力学行为，首先给出相应受污染系统的数学模型，然后研究系统中种群的持久生存和灭绝问题，在具体模型中，运用比较定理研究种群生存的阈值。

Under the most elementary conditions for backward stochastic differential equation introduced by Peng S., we put forward and prove a general converse comparison theorem.

在由彭实戈引入的倒向随机微分方程的最基本的条件下，提出并证明了一个一般的反比较定理。

In the forth chapter, by employing the comparison theorem in theory of difference equations together with pure analysis, we get sufficient conditions for permanence of a class of ratio-dependent discrete system.

第四章运用差分方程理论中的比较定理和纯分析的方法得到离散系统持久性的充分条件。

Model of experiments was calculated by this Method and calculation results compared with Experiment results. Comparison shows upper-bound theorem of limit analysis is feasible, simple and accurate in calculation.

运用极限分析上限法对试验模型进行计算，并将计算结果与试验结果进行了对比分析，分析表明，利用极限分析上限法不仅简单可行，且具有较高的计算精度。

In this paper, we study the comparison theorem of backward doubly stochastic differ-ential equtions with continuous coefficient by Tanaka-Meyer formula.

利用Tanaka-Meyer公式研究了双重倒向随机微分方程在连续条件下的比较定理。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。