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Then the pile-soil stress characteristics and stabilizing mechanism of the composite foundation are fully discussed. Based on the close analysis of the influence factors of the vertical bearing capacity, circular aperture extension theory is employed to establish the computing formulas for the pile vertical stress and the foundation vertical bearing capacity, respectively. Moreover, with analyzing the features of the calculation parameters such as materials of gunite mortar, jet pressure, diameter of the jet pipe, pile length, pile layout, a design theory for chemical churning pile composite foundation is proposed. Then, the variation of the pipe deformation with loads, the deformation coordination of pile and soil are studied. And methods to decide pile-soil stress ratio and the compressive modulus are developed. Meanwhile, the corresponding design method and the design parameters are proposed. In addition, studies for construction technique and quality detection of the chemical churning pile composite foundation are presented.

在此基础上深入探讨了旋喷桩的桩土受力特性及其复合地基的加固机理，从影响旋喷桩复合地基竖向承载力的因素入手，基于圆孔扩张理论给出了桩体竖向应力及旋喷桩复合地基的竖向承载力计算公式；通过对喷射浆液、喷射压力选取、喷射直径估算、桩长及桩位设计等各种计算参数的深入分析和研究，提出了一套相应的旋喷桩复合地基设计计算方法；通过计算分析，深入探讨了旋喷桩复合地基变形随荷载变化规律、桩和桩间土变形协调关系、桩土应力比及复合地基压缩模量的确定，并提出相应的设计方法和修正参数；此外，结合工程应用，对旋喷桩复合地基的施工技术及其现场质量检测方法进行了较全面的探讨。

Based on point explosion theory , the approximate analytical formulas of momentum coupling coefficient and impulse of cone and parabolic crafts are deduced. The results show that the total axial impact momentum for parabolic craft is larger than that of cone craft and it increases with the increase of half open angle.

以LSD/LSC波理论为基础建立了一个近似的理论解析模型，推导出圆锥形和抛物形飞行器获得的冲量及冲量耦合系数的近似解析表达式，公式表明冲量耦合系数随着半张角的增加而增加，同时抛物形飞行器要比圆锥形飞行器的动量汇聚效果好。

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。

For calculating the shadow area of the heliostat field on the ground accurately, the calculation method of the shading ratio among the adjacent heliostats is proposed and the theoretic formulas are derived.

为了精确计算镜场对地面的阴影面积，提出了相邻镜面间阴影率的计算方法，并推导了计算公式。

By means of the Hermite interpolation formula with second derivative,a type of integrating formulas with second derivative is derived.

利用带二阶导数的Hermite插值公式，导出一类具有二阶导数的求积公式。

Osculatory Rational interpolation is similar to the polynomial Hermite interpolation, and for binary Osculatory rational interpolation, Similar to polynomial interpolation formulas haven't appeared from now on.

切触有理插值是类似于多项式插值中的Hermite插值的一种插值，而对于二元切触有理插值，目前还没有构造出类多项式的插值公式。

With some modifications of Laplace\'s approximation,we obtain uniform asymp-totic formulas for the Stieltjes-Wigert polynomial,the q~(-1)-Hermite polynomial and the q-Laguerre polynomial.

通过将Laplace逼近方法做一些改进，我们得到一些关于Stieltjes-Wigert多项式，q~(-1)-Hermite多项式和q-Laguerre多项式的一致渐近公式。

However, they do recommend those formulas that are high in iron.

不过，他们建议那些公式是在高铁。

Using the extended Hoare calculus we can derive true Hoare formulas which contain while statements free of loop invariants.

使用这个抽象机器，可以在其上进行许多带位操作指令的程序，特别是系统级代码的Hoare逻辑风格推理。

The methods of computing holdup, pressure drop and temperature drop were simply introduced and some important formulas were derived.

并简要介绍了段塞流工艺计算中的持液率计算及压降和温降的计算，并对重要的公式进行了推导。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。