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However, Fermi resonance is an important role in the intramolecular vibrational energy transfer process, so we use the bend triatomic molecule model described by potential energy calculated from U(4) algebra, and the chaos of high excited molecular vibration can be studied by analyses of the intramolecular vibrational energy transfer process.

Fermi共振相互作用作为分子内能量转移的一种机制，在描述分子激发的完全振动方面有着重要的作用，因此，我们在构建弯曲三原子分子模型时引用了U(4)代数方法获得的势能面，从能量传递角度研究体系的混沌性质，是在多原子分子激发态领域研究非线性问题的合理延伸。

Linear algebra was used to derive an analytical expression for its point unfalsified probability , for the necessary and sufficient condition of the model set being consistent with the frequency domain input-output data.

应用线性代数方法通过对模型集进行讨论，根据一个模型集与对象频域输入输出数据相一致的充要条件，建立了模型集点非伪概率的解析表达式。

On the condition of normality, the question whether the unital complex f -algebra satisfies the property and multiple decomposition property are considered.

考察了在正规条件下，有单位元的复f-代数满足性质和乘法分解性质的情况。

In 1960, he won the sixth Frank Nelson Cole Prize in Algebra for his paper Unramified class field theory over function fields in several variables

纳尔逊。科尔奖。

Quantum logic has a long history, and there were many results of quantum logic.Effect algebra was introduced before about ten years. It describes the unsharp quantum measurement, and plays an important role in quantum logic theory.

本文研究了近十年来发展起来的用于描述不可精确测量量子现象的效应代数理论及相关问题，主要结果是： 1。

Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

不要担心未来，或者是担心，但清楚担心的作用就和试图用嚼香口胶来解代数方程式一样，你生活中真正的困难更会是那些你从未想到的事，那些在一个无所事事的星期二突然出现的事。

Don't worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. The real troubles in your life are apt to be things that never crossed your worried mind; the kind that blindside you at 4:00 pm on some idle Tuesday.

不用去烦恼未来，或著烦恼著，但要知道烦恼本身的作用就等於想以嚼泡泡糖来解出代数习题，你人生真正的麻烦会是从未出现在你的忧虑中，那种再某个无所事事的周二下午冷不防出现的鸟事。

C.R.Miers has shown that the Lie triple derivation on a vN algebra M with no central abelian summands has the form D +λ, where D is an associative derivation and A is a linear map of M into its center which annihilates brackets of operators.

Miers证明了无交换部分的vN代数M上的三元Lie导子具有D+λ形式，其中D是M上的结合导子，λ是从M到它的中心Z上的线性映射且零化M中的括积。

Atomization of liquid fuel is a complex process. The study of atomizing mechanism is very difficult in atomizing technology. In recent years, the international study on atomizing mechanism is still in period of algebra experience.

液体燃料的雾化是一个复杂的物理过程，雾化机理的研究一直是雾化技术的难点，近年来国内外对雾化机理的研究上大部分都停留在代数经验为主的阶段。

Thus, a value type representing pseudovectors and encapsulating their algebra could also be implemented.

于是，一个表示伪矢量并封装其代数运算的数值类型是可以被实现的。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。