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The absolute stability of a class of indirect control systems by applying the theory of Hermitian quadratic form and Jordan normal form was studied.

利用厄米特二次型和若当标准形理论研究了一般间接控制系统的绝对稳定性问题，给出了绝对稳定性的代数形式的判别准则。

The acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regards to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results.

先将结构的声辐射功率表示为一个正定的厄米特二次型，运用广义特徵值分解求解了复杂结构的声辐射模态，然后利用声辐射模态关于阻抗矩阵与均方速度祸合矩阵的正交性，求解了复杂结构的声辐射效率，最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。

A kind of complete automatic subdivision method for mesh of hexahedron based on quadratic subdivision of tetrahedron was put forward and the corresponding program was developed.

提出了一种基于四面体二次剖分的六面体网格全自动剖分方法，研制了相应的程序。

Hilbet-type inequality is important in analysis and its applications. In recent years, by improving the way of weight coefficient, some research on the extensions and applications of this type of inequalities are developed. In this paper, we give a Hilbert infinite series inequality with the best constant factor whose kernel is a negative quadratic form by applying the method of weight coefficients. And an equivalent form is considered.

Hilbert型不等式在分析中有重要作用，近年来，由于改进权系数的方法，发展了这类不等式，并进一步推广应用和研究，应用权系数方法给出的一个带有最佳常数的核为负二次型齐次的Hibert型无穷级数不等式，同时考虑了它的等价形式。

The innovation of our thesis lies in:1 We do not require quadratic space to have hyperbolic basis. Moreover, we only require M to be projection module instead of free module;2 Eichler transformation is used instead of the traditional matrix transformation in our proof;3 Not only do we extend the relative results obtained by Bak and Vavilov and the results obtained by Vaserstein and You hong , we also simplify the proof significantly.

我们的创新之处在于： 1 不要求二次型空间具有双曲基，甚至不要求M是自由模，而仅要求M是投射模； 2 我们在论证中使用的是Eichler变换而不是传统的矩阵； 3 我们的结果不仅推广了Bak与Vavilov以及Vaserstein与游宏的相应结果，而且论证也极大地简化了。

A necessary and sufficient condition is proved here for judging whetherthe ideal class group Hof a quadratic function field 〓has a cyclicsubgroup of order n for any given n.

给出了一般二次函数域的理想类群含有n阶循环子群的充分必要条件（其中〓是任意事先给定的正整数）。

For finite places in quadratic imaginary fields with class number 2 or 3, the concept of principlal norm is introduced.

对于类数为2或3的虚二次域中有限位提出了主范数的概念。

A specialized quadratic function calculator from Implicit Softwar...

一款专业的二次函数计算器。

The 3 order Yeoh constitutive model is used to describe the mechanical behavior of carbon-filled rubbers, the aging deterioration rule of carbon-filled rubber is discussed by thermal aging test, and an incomplete quadratic polynomial model is established by Response Surface method, which can describe the variation of performance with aging time and temperature of aged rubber.

用响应函数法建立了橡胶性能随老化时间、温度变化的二次不完全多项式模型，定量描述了材料热老化性能的变质规律。

Array efficiency is restricted to be higher than a given value by incorporating a quadratic inequality constraint on the weight vector, and the desired sidelobe level is achieved by implementing linear constraints through iteration.

该方法适用于任意的阵列形式，以最大化阵列方向性系数为目标，通过对加权向量的二次约束控制了阵列效率，并采用迭代的方法满足了方向图旁瓣的要求，实现了阵列效率和旁瓣约束下的方向性系数最优化。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。