结构公式

In this thesis the process of constructing the non-perturbative Hamiltonian theory is de-scribed and is applied to estimate the vacuum condensate. It contains the following contents:At the very beginning, by using the path integral method and eliminating the gluon freedom, aGCM action 〓 of current quarks including lower order current-current coupling was derivedfrom the QCD Lagrangian and the effective Hamiltonian operator that could hardly be doneby the normal methods was derived. After doing this, the broken vacuum is introduced whichincludes quark-antiquark condensate through the generalized Bogoliubov-Valatin transformation,the effective Hamiltonian of constituent quark was derived. The detailed formulas containingthe spatial current-current coupling term for the effective Hamiltonian and gap equations wasworked out by parameterizing the correlation kernel as a quadratic potential. And then, the gapequation was solved and the quark-antiquark condensate of vacuum was studied both in the casesof instantaneous interaction and retarded interaction. In the end, the effective Hamiltionian withtwo-body quark-quark interaction was derived with one-body approximation, and with the helpof the functional integral method the coupling non-linear dynamic equations for systems withnuclear matter was derived. Finally, these equations were solved by selfconsistent method andthe effect of nuclear matter on vacuum condensate was studied. The spatial current-current coupling term is too difficult to handle, hence the correlationkernel is assumed to be not important and usually omitted in the pure vacuum condensate, andthe instantaneous interaction generally is adopted. Retaining the spatial current-current termand partial retardation effect, the quark pairs condensate in pure vacuum was studied, and theeffect of quark mass was also studied. At present, little study is focused in the case with nuclearmatter and spatial current-current term also omitted. Under the approximation with partialspatial current-current term, the effect of nuclear matter on vacuum condensate was studied.

本论文描述了量子色动力学整体色对称模型哈密顿量方法的构建过程，得到了反映正反夸克对凝聚真空结构的关于组分夸克的有效哈密顿量算符，它隐含了胶子作用，并且准确至流-流耦合项；接着，通过参数化哈密顿量中的夸克作用关联核，导出平方禁闭势参数化选择的哈密顿量的具体公式和能隙方程；随后，应用公式，编程求解，考察了瞬时作用下和部分延迟作用下真空的正反夸克对凝聚，在计算中保留了空间流-流耦合作用；之后，导出瞬时势和延迟势下包含二体作用项的哈密顿量公式，并采用单体化近似，通过泛函变分方法得到核物质存在时耦合的非线性动力学方程；在保留部分空间双流耦合作用的近似下，求解核物质的动力学方程，考察核物质密度对真空凝聚的影响，以往考察真空凝聚，对关联核的选用，由于空间流-流耦合项不易处理，也认为作用不大，常忽略该项，并且常采用瞬时作用；本文保留空间双流项和部分延迟作用，考察了真空情形的夸克对凝聚，还考察了夸克质量对纯真空凝聚的影响，以往对核物质存在情形的真空凝聚考察很少，也都忽略空间流-流项，本文在考虑部分空间流-流项近似下，考察了核物质存在对真空凝聚的影响。

After building big data storage structure and constructing decimal code array, an algorithm for high-accuracy value of two-dimensional normal distribution is built through using Laguerre Polynomial expansion, and accelerating operation with Compound Simpson formula, Compound Cotes formula and Romberg formula.

以数组作为大数存储结构，解决受到计算机字节长度制约无法实现高精度运算的问题；并引入复化辛普森公式、复化柯特斯公式和龙贝格公式加速收敛，最终得到所需要的结果。

First by testing the practical multilayer insulation in a cryogenic tanker, which is the carilometer in my paper,some affecting factors on multilayer insulation are analysed, then by using the low-temperature and vacuum environment caused by multilayer insulation, the effective thermal conductivity of multiple fiber paper with 5 layers is tested.Through Newton interativemethod,an empirical formula is deduced to computer the thermal conductivity of fiber paper,The errors between experimental thermal conductivity and the calculated conductivity by empirical formula are below10%,so the formula of fiber conductivity can be applied to practical enginnering.

为探索改善工程应用中高真空多层绝热层绝热性能的方法，本文实验研究中首先测量了包扎在实际低温储罐上不同结构的高真空多层绝热层的绝热性能，并分析了环境温度、环境压力，层数、不同隔热材料的组合等因素对工程应用中的高真空多层材料绝热性能的影响；然后利用多层绝热层中的低温真空环境测量5层干法纸在不同温度区间内的表观导热系数，在有限实验数据的基础上用牛顿迭代数值拟和出计算5层干法纸表观导热系数的经验公式，对比经验公式计算值和实验测量值，发现二者的误差在10%以内，因此在工程应用中可用本文的经验公式计算干法纸在低温下的导热系数。

In chapter 2, the intensity and phase formulae of five photorefractive processes in intermediate regime are derived including the analytic expressions of codirectional parallel-or cross-polarization two-wave mixing in the depleted pump condition and the analytic expressions of contradirectional parallel-or cross-polarization two-wave mixing and degenerate four-wave mixing in the undepleted pump approximation.

给出了本文的结构和取得的主要结果。第二章推出了五种光折变过程的中间段强度与相位公式。既同向平行、交叉极化双光束耦合的大信号解析公式，异向平行、交叉极化双光束耦合以及简并四波混频的小信号解析公式。

A formula was derived and given to calculate the Shupe effect in the quadrupolar winding including the effects of the midpoint deviation and the fiber diameter. This formula, compared with that considering only the ideal situation, can not only be used to account the thermally induced nonreciprocal phase shift under different midpoint deviations and fiber diameters, but also indicate the effects of the fiber coil's structure when there exist nonideal factors.

本文分析了中点偏差、光纤直径尺寸对四极性绕法中相向传输光对称性的破坏，推导给出了包括中点偏差和光纤直径尺寸影响的四极性绕法热致非互易相移的计算公式，该公式相对于只考虑理想情况的计算公式，不仅能计算不同中点偏差和光纤直径情况下的热致非互易相移，而且揭示了存在非理想因素时，光纤环结构对热致非互易性的影响。

" In 1981, the Supreme Court stated that "a claim drawn to subject matter otherwise statutory does not become nonstatutory simply because it uses a mathematical formula, computer program, or digital computer" and a claim is patentable if is contains "a mathematical formula and implements or applies the formula in a structure or process which, when considered as a whole, is performing a function which the patent laws were designed to protect.

& 1981年，最高法院指出，&索赔提请法定事由，否则不会成为非法定仅仅是因为它使用了一个数学公式，计算机程序，或数字电脑&，并要求具有专利性，如果是包含&一个数学公式，并在实施或适用的公式的结构或过程，当作为一个整体考虑，是履行这一职能的专利法是为了保护。

In this paper,the whole recognition process was studied in detail,using character over-segmentation method and BST character structure analysis algorithm,the general formula could be recognized and remerged successfully,and the recognition ratio is very high.

系统地研究了数学公式识别的全过程，使用自适应字符分割方法和基线结构分析算法成功地实现了一般数学公式的识别，识别率比较高，较好地完成了公式识别任务。

Finite element method is based on the actual ship models, a true reflection of the real ship distribution of the specific structure. This paper also uses empirical formula to calculate the inherent frequency of the catamaran; contrast them in the process of modeling the structural stiffness, and quality of the different treatments, as well as natural frequency calculated from the results of differences analyze the different and the reason between the finite method and the empirical formula method which used to calculate the inherent frequency of catamarans in the vibration analysis.

有限元方法是根据实际船型，较真实的反映了实船结构的具体分布特征；本文还采用经验公式对该船的固有频率进行了计算，对比它们在建模过程中对结构刚度、质量的不同处理，以及计算所得固有频率结果的差异，分析了在双体船振动特性分析中有限元法与经验公式法的结果略有差距及其原因。

The interaction between the extent and the period of ice force is expressed.

算例结果与几个有影响力的经验公式和理论公式的比较显示，新公式能更好地模拟结构的实际冰力。

Based on our formula of width equivalence of SIW and RW, the formula of length equivalence of SIW and RW has been derived, which is expected to find wide applications in the engineering design of SIW filter and resonance cavity.

根据已知的SIW和RW之间的宽度等效公式，通过对传播常数的分析，推导出SIW和等效的矩形波导之间的长度等效公式，这个公式在计算SIW短路结构和谐振腔时很实用。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。