四元的

A 2D harmonic model based on the quaternion was constructed,and a special four-order cumulant was defined.

构造了合适的基于四元数的二维谐波模型，根据此模型定义了特殊的四阶累积量切片，分析了加性高斯在有色噪声中的二维三次非线性相位耦合。

Disclosed today, the company on November 3 Shenzhen securities trading system after closing Shenzhen received Mao Building Industry Co., Ltd. fax letter, Mao Building industry since last month the company began to buy the company A shares, the transaction price of District 324 yuan/share -3.97 yuan/share, as of November 3 closing, Mao Building Industry Total 8,191,418 shares held by company A shares; Mao Building industry investment concerted action the National People's Congress Co., Ltd. since Last month, the company began to buy B shares, the transaction price of 1.69 Hong Kong dollar area/-2.17 HK shares/shares, as of November 3 to close, large investment in China a total of 3,051,800 shares held by company B shares.

深国商今天透露，该公司于11月结束后深圳3深圳证券交易系统收到的金茂大厦实业有限公司传真信件，金茂大厦自上月该公司开始收购该公司业股，交易价格区三二四元/股-3.97元/股，截至11月3日闭幕，毛泽东建筑行业共8191418由公司A股股票；金茂大厦产业投资协同行动的全国人大有限公司持有的股份自上个月有限公司，该公司开始购买B股，在一点六九港元area/-2.17香港股票/股，交易价格为11月3日结束，在中国大的投资，持有股份的305.180万公司B股。

Then, on the basis of above achieved constituent binary results, thermodynamic properties of 10 ternary liquid alioys (Cd-Bi-Pb, Cd-Pb-Sb, Cd-Pb-Sn, Mg-In-Cd, Zn-In- Cd, Cd-Bi-Sn, In-Bi-Pb, Sn-AgPb,Zn-In.Pb, Al-Cu-Zn), 3 quaternary ones (Cd-Bi-Pb-Sn, Zn-Sn-Cd-Bi, Zn-Sn-Cd-Pb) and 1 quinary. one (Zn-Sn-Pb-Cd-Bi) are predicted. For most of investigated multicomponent systems, the calculated activities are in good with the experimental ones, and in particular for multicompoment immiscible ones, the predicted results are satisfactory and exciting. At the same time, the comparison result between the three equations shows that Wilson equation and T-K-Wilson one are more stable than NRTL one, that maybe is because NRTL equation contains a third parameter, and so ,to some degree, Wilson model and T-K-Wilson model are superior to NRTL model. And also the comparison between local composition models and other models such as Pelton- Flengas?method, Krupkowski formalism, mass action concentration model and Hoch- Arpshofen model shows that local composition models are more convenient and credible.

在此基础之上应用局部组成型模型对10个三元液态合金（包括Cd-Bi-Pb、Cd-Pb-Sb、Cd-Pb-Sn、Mg-In-Cd、Zn-In-Cd、Cd-Bi-Sn、In-Bi-Pb、Sn-Ag-Pb、Zn-In-Pb、Al-Cu-Zn），3个四元液态合金（包括Cd-Bi-Pb-Sn、Zn-Sn-Cd-Bi、Zn-Sn-Cd-Pb）和1个五元液态合金（Zn-Sn-Pb-Cd-Bi）的活度进行了预测，预测效果良好，尤其对Zn-In-Pb系和Zn-Sn-Cd-Pb等多元液-液共存体系热力学性质的预测也取得了令人满意的结果；同时对三个方程的比较分析表明：Wilson方程和T-K-Wilson方程在多元系热力学性质的预测中表现稳定，而NRTL方程由于引入了物理意义不清楚的第三参数，使得其具有不确定性和不稳定性的特点，因此Wilson方程和T-K-Wilson方程较NRTL方程更为优越；此外对局部组成型模型与其它模型（如Pelton-Flengas方程、Krupkowski方程、作用浓度模型和Hoch-Arpshofen模型）的比较表明：局部组成型模型同样是优秀的，甚至在某些方面更为简便和可靠。

In chapter 4, we define the concept of q-element, and unify group invariant matrix, perfect sequence and q-element. We give their construction, necessary conditions and applications in the theory of difference sets.

在第四章中，我们提出了q-元的概念，并且整合了群不变矩阵、完美序列、q-元这三个概念，给出了它们的构造，它们存在的必要条件，及它们在差集理论中的应用。

Methanol molecule participates in the proton transfer process, which takes place by a intermolecular six-membered proton-transfer transition state structure instead of the intramolecular four- membered. Consequently, the activation energy of the proton-transfer process is reduced greatly,resulting in the carbon-carbon bond formation process become the rate-determining step. The results are consistent with Aggarwal's the latest dynamics experiments.

CH3OH分子参与质子转移过程，使得原本通过四元环结构过渡态的质子转移过程通过六元环结构过渡态实现，从而极大地降低了质子转移过程的活化能，碳-碳键形成过程进而成为反应的速度控制步骤，研究结果与Aggarwal等的最新动力学研究成果相吻合。

Solubilities and physico-chemical properties in the solution of these systems were determined. According to the experimental data, equilibria phase diagrams and physico-chemical property -composition diagrams of ternary systems were plotted; Equilibrium phase diagrams and corresponding water content diagrams of quaternary systems were finished; Stable and metastable phase diagrams, corresponding water content diagrams of the quinary systems at 288K (saturated with Li2CO3) were also plotted.

测定了上述各体系288K平衡液相中各组份的溶解度及主要物化性质；绘制了三元子体系的相图，物化性质—组成图；绘制了四元子体系的干盐图及相应的水图；完成了该五元体系稳定及介稳平衡体系为Li_2CO_3饱和的投影相图，水含量图。

The factors include the retarded time of torpedo engine starting, torpedo velocity at tube outlet, confined elevator angle and ship rolling angle. Similarity variables were defined for the four factors and values of the variables were determined through combination of experimental data and simulation results.

在舰艇鱼雷发射初期弹道建模与仿真研究中，重点研究鱼雷发动机启动延迟时间、鱼雷出管速度、管制舵角、舰艇横摇角对初期弹道的影响，将该四项因素作为相似元，再根据实航试验数据的袋深与仿真计算结果的袋深求出相似元的值。

For the revolutional shell of central stage, the terms of Fourier series can be decoupled into four subgroups.

对于采用回转壳环元的芯级而言，取四分之一结构归结为将所有富里叶分量分成互不耦合的四组分别求解。

The transition states of ring-breaking and of N2 losing during the thermal decomposition of a series of 5-substituted–1H and –2H tetrazole derivatives have been obtained.

求得了系列5-取代-1H四唑和5-取代-2H四唑的热解开环和失N2两个基元反应的过渡态。

Quaternions extend the concept of rotation in three dimensions to rotation in four dimensions.

四元数将三维中旋转的概念扩展到四维中的旋转。

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。