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Firstly, the integral-differential equation described the radiation field evolution is derived, and then the instability of its solution is also investigated analytically. By using the perturbation and iteration method, the threshold detuning and threshold linear growth rate of the unstable solution are analyzed and discussed in detail.

首先，建立了一个描述辐射场演化的积分一微分方程，解析分析了系统解的不稳定性，并采用线性方程解的微扰迭代方法进一步对系统不稳定解出现的失谐量阈值和线性增长率阈值等作了详细讨论。

Mr Wessel's assessment of Mr Geithner is a bit rose-tinted, while he overdoes the criticism of Mr Paulson as bungling and erratic. Nor does the book stand out analytically.

维瑟尔先生关于盖特纳的评价过于美好乐观，而将保尔森贬斥为拙劣粗浅、行为不定则颇为过火。

2The dynamics of the two-level ion trapped by anharmonic potential,which acts with standing light field,is investigated analytically.

第二部分解析分析了受非简谐势囚禁的二能级离子在驻波光场作用下的动力学。

We analytically study a simple network model that incorporates both orientation-selective input from the lateral geniculate nucleus and orientation-specific cortical interactions.

我们分析性的研讨简易的网络模型，得以从侧面膝状弯曲之细胞核将选择性方位的输入与明确方位之皮质互动加以连接。

However, due to the experiment design, it was hard to tell whether the information was processed analytically or heuristically and no early information selective process revealed.

在实验二中，为更进一步检验情绪与决策重要性交互作用的情况，实验中增加了额外的捷思线索。

Considering the curvature effect on hooping of nearest-neighboring carbon atoms of armchair carbon nanotubes, the energy band, density of state and velocity of electron of armchair SWNT were analytically derived by using the tight-binding model and Born-Karman boundary condition.

在考虑曲率效应对扶手椅型碳纳米管最近邻碳原子交叠积分影响的情况下，利用紧束缚模型和玻恩－卡门边界条件解析地推导扶手椅型SWNT的能带、态密度和电子公有化运动速度，对扶手椅型SWNT电子性质的分析发现：考虑曲率效应后扶手椅型SWNT仍然是金属管，但其能带的总能减小，其态密度的导电平台变窄且其电子公有化运动速度变小。

Interestingly, the degree exponent of EAN may be adjusted continuously between interval [2,3]. Also, the average path length of the networks is estimated analytically, which increases at most logarithmically with the number of nodes.

它们的平均路径长度最多按照网络规模的对数形式增长，度指数和簇系数均可调节大小，其中演化阿波罗网络的度指数在区间[2，3]连续可调。

We investigate a simple atom laser model by introducing phenomenologically gain and loss terms in the GP equation, noting that we don't consider output coupling in this model, and discuss analytically threshold and stability of lasering mode.

我们研究了一个简单的原子激光器模型。这个模型是一个被引入增益和衰减项后的GP方程，注意，在这个模型中我们没有考虑输出耦合。

Major factors affecting liquid steel decarburization and recarburization in the process of RH vacuum treatment and continuous casting of extra low carbon steel were analytically studied based on datum obtained from the previous experiments and measures to be taken for promoting liquid steel decarburization and preventing it from recarburization recommended as well.

根据试验数据分析并研究了超低碳钢在RH真空处理和连铸过程中，影响钢水脱碳与增碳的主要工艺因素。

Researchers in the late 1960 covered that humans are born with the capacity to approach challenges in four primary ways: analytically, procedurally, relationally and innovatively.

60年代后期的研究人员报道，人类生而具有能够迎合挑战的能力表现在四个方面：分析性地，程序性地，相关性的和创造性地。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。