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Hence, the loss of gravitational potential energy of the block equals the gain of elastic potential energy of the spring.

因此，该物块的重力势能的减少，等于该弹簧的弹性势能的增加。

In Chapter 3, we consider the semi-direct product AG, and analyze the decomposition in AG of idempotents of AH, and obtain a precise algebraic description; as a corollary, we show a criterion of the primitivity in AG of a primitive idempotent of AH, hence a theorem of Fong and a theorem of Green are generalized to an uniform setting.

考虑半直积AG，我们分析了AH的幂等元在AG中的分解模式，得到了一个准确的代数刻画；作为它的推论，给出了AH的本原幂等元在AG中仍然本原的判断准则，从而将Fong的定理和Green的定理推广到了一个统一的情形。

Hence, possibly, premenstrual grumpiness.

因此女人可能会在经期前爱发点脾气。

The result hence suggests that just to protect and recover the habitat of a certain group and to inhibit hunting are good enough in a sound protection plan for the Sichuan snub-nosed monkey rather than to construct artificial corridors among mountains, which would drastically reduce the cost in protection action.

基于这一序列数据组的分子系统学分析表明：川金丝猴的遗传差异主要存在于一定地域内的社群间，在不同山系群体间的分化则尚不明显；从而提示在川金丝猴的保护中，着重保护和恢复各社群的生境并阻止猎杀可能已是一个经济有效的策略，在已隔离的山系或大群间修建人工走廊的价值可能不大。

Marseilles is filled with half-pay officers, who are daily, under one frivolous pretext or other, getting up quarrels with the royalists; from hence arise continual and fatal duels among the higher classes of persons, and assassinations in the lower.

马赛到处是些领了半饷休养的军官，他们每天尽为些鸡毛蒜皮的小事而借口和保皇党人吵架，所以上流社会中常常闹决斗，而下层社会中则时常闹暗杀。

Marseilles is filled with half-pay office rs, who are daily, under one frivolous pretext or other, getting up quarrels with the royalists; from hence arise continual and fatal duels among the higher classes of persons, and assassinations in the lower.

马赛到处是些领了半饷休养的军官，他们每天尽为些鸡毛蒜皮的小事而借口和保皇党人吵架，所以上流社会中常常闹决斗，而下层社会中则时常闹暗杀。

Marseilles is filled with half-pay officers, who are daily, under one frivolous pretext or other, getting up quarrels with the royalists; from hence arise continual fatal duels among the higher classes of persons, assassinations in the lower.

马赛到处是些领了半饷休养的军官，他们每天尽为些鸡毛蒜皮的小事而借口和保皇党人吵架，所以8ttt8上流社会中常常 www.ssbbww.com 闹决斗，而下层社会中则时常闹暗杀。

That said, I am writing this during half-term, and I think a lot of the market could be taking a deserved break with their children, hence not many calls being returned.

不过，我写在学期中，我想了很多，市场可能会采取应有的休息与子女，因此没有太多要求返还。

Hence, we first analyzed and studied the kinematics and dynamics of PDC bit, and that are utilized to analyzed how to hame cutters by PDC bit whirlpool. Onthe based of this, we do the cutting experiments. With the test, we not only think over the influence to force actting on cutters in rock nature, drilling parameter, cuttersdensity distributed, and also wear state of cutters and PDC bit appearance. Because the PDC bit's cutters are repeaded by polycrystalline-diamand and tungsten carbide, the specific property of PDC wear are not alike that of polycrystalline-diamand and not alike tungsten carbide.

因此，本文首先分析研究了PDC钻头的运动学和动力学，并利用分析的结果对PDC钻头的涡动是如何损坏切削齿的进行了探讨；在此基础上，进行了PDC钻头切削齿的受力实验，在受力实验研究中，不仅考虑了岩性、钻进参数、布齿密度等对切削齿受力的影响，而且考虑了切削齿不同的磨损状态、钻头的冠部形状对切削齿受力的影响；PDC钻头的切削齿是由聚晶金刚石层和碳化钨底层复合而成的，它的磨损特点既不同于金刚石的磨损又不同于碳化钨的磨损，因此，在分析了复合片磨损机理的基础上，进行了PDC钻头切削齿的磨损实验。

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。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。