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By local bifurcation theory and perturbation theory,the existence of local bifurcating solution and its stability are obtained.

研究了一类带简化的Mound-Haldane反应项的捕食-食铒模型的局部共存解存在性及其稳定性，运用局部分歧理论及特征值扰动理论，得到了该模型的局部分歧解存在的充分条件及其解的稳定性。

According to the Big Bang model, the universe today came into existence after an explosion from a singular point 14 billion years ago.

目前的宇宙大爆炸理论认为：今日宇宙，约源于前140亿年左右的一次"奇点"大爆炸。

Noindent \hskip 20pt In chapter two, we prove the existence and multiplicity results of some nonlinear biharmonic equations by using lower semicontinuity method and minimax method.

在第二章中，通过下半连续方法和极大极小方法，我们证明了一类非线性双调和方程解的存在性和多解性的结论。

Owing to the anisotropic and the biharmonic nature of microwave radar backscatter on spaceborne scatterometer, and to the scatter model function nolinear and the existence of various noise sources in the measurements in addition to the model function, the

由于卫星散射计探视雷达回波的各向异性的双调和性质，同时由于散射物理模型函数的非线性及信号中存在噪声，使得常规点方式风场反演中风向有多至4个解的多解存在。

Owing to the anisotropic and the biharmonic nature of microwave radar backscatter on spaceborne scatterometer, moreover, scatter model function nonlinear and the existence of various noise sources in the measurements in addition to the model function, the retrieval wind results consist of as many as four wind directions.

摘 要 由于卫星散射计探视雷达回波的各向异性的双调和性质，同时由于散射物理模型函数的非线性及信号中存在噪声，使得常规点方式风场反演中风向有多至4个解的多解存在。

Commercial capital this old existence was pushed over the billow needle of the times,.

商业资本这个古老的存在被推到了时代的浪尖之上，。。。

This may be a precursor of what astronomers refer to as the common envelope phase, a short-lived period of a binary star's existence that is thought to last for just a few thousand years.

这可能是天文学家们提到的共包层阶段的前身，这是双星生命中的短期阶段被认为仅持续几千年。

Our acceptance of your order brings into existence a legally binding contract between us.

我们接受你的命令带来一项具有法律约束力的合约关系。

TJ's acceptance of your order brings into existence a legally binding contract between us.

TJ的接受你的订单使存在一个具有法律约束力的合约，我们之间。

Biological resources is a core component of the Earth's biological diversity, and it is strategic resources of human existence and development.

生物资源是地球生物多样性的核心组成部分，是人类生存和发展的战略性资源。

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％。