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Moreover, by the combinatorial proof or combinatorial interpretation, the identity is equipped with certain count meaning. The most general way in the combinatorial proofs is to count two sides of the identity by two different methods. Generaly, through building a bijection from one set to another one, the number of the two sets respectively represents the two sides of the identity. Because of the 1-1 property of bijection, the identity is proved.

此外，恒等式的组合证明或组合解释赋予了恒等式一定的计数意义，组合证明最常用的方法是分别用两种不同的方法对恒等式的两端进行计数，一般通过构造两个集合之间的双射，这两个集合的个数分别表示恒等式的两端，从而根据双射的一一对应性证明恒等式。

By using thenatural boundary element method which is set up by professor Feng Kang,the Neu-mann boundary problem of the harmonic equation on the half-upper plane is reducedto the Hadamard type singular integral equation,the integral region of which is un-bound,and then we turn it into corresponding bilinear form.

通过由冯康教授开创的自然边界元方法，将上半平面调和方程的Neumann边值问题归化为Hadamard型强奇异自然边界积分方程，并且此积分方程是无界域上的强奇异自然边界积分方程，然后将它转化为相应的变分形式。

BIOS update as a result of failure or CIH virus damage caused by the BIOS, if guided block (Award BIOS as the BIOS Boot Block, Phoenix BIOS called Flash Recover boot Block) has not been damaged, can be made to re-boot disk set BIOS (site specific methods can refer to the relevant articles, will not repeat them here), if the boot block is also damaged, the available hot-swap method or by the use of security programmer repair.

由于 BIOS 刷新失败或 CIH 病毒造成的 BIOS 受损的问题，如果引导块(Award BIOS 中称为 BIOS Boot Block 、 Phoenix BIOS 中称为 Flash Recover boot Block)未被破坏，可用自制的启动盘进行重新刷新 BIOS(具体方法可以参考本站的相关文章，这里就不再赘述)，假如引导块也损坏的话，可用热插拔法或用利用编程器进行安全的修复。

The bohemian look is epitomized by Janis Joplin, who during her heyday ②set herself apart by going braless, wearing beads, velvet, fur, feather boas, her trademark bangles, crochet vest and leaving her hair au natural.

詹妮斯·乔普林是波希米亚风的代表人物，她在其事业黄金期之时是特立独行的——不穿胸罩、佩带着珠子、天鹅绒、毛皮、羽毛围巾、她特有的手镯、粗针背心，而且不打理头发。

The English ideal of invincible green suburbs and the garden cities of Ebenezer Howard looks set to be replaced by the continental way of life-or rather the British way of life in towns like Buxton, Bath and York in Georgian times, when the countryside was the playground visited by town-dwellers at weekends and for holidays.

英国人理想的无往而不胜的绿色郊区和埃比尼泽·霍华德式的花园城市看来注定会被欧洲大陆的生活方式取代，更确切地说，是被乔治时代巴克斯顿，巴斯和约克之类城镇里的英国生活方式取代，当时农村是城里人周末和假期光顾的游乐场。

The complaint is basically saying that the bird nest industry is facing much difficulty where there is no set of standard by-law and regulation given by the local authorities and other department regarding the industry.

养燕行业面临很大的困境，并且也没有由政府所设定的准则和法令，地方当局和有关该行业的其他政府部门也没有正式的条规。

Rewriting is typically used to reduce expressions to a canonical form to check their equality induced by a theory, expressed by a set of equations.

重写通常用来降低表达式的规范形式，检查他们的平等理论的诱导，由方程组表示。

The result showed by interviewing these persons: 1 There is the same goal between the department of corporate public relations and the corporate foundation, but carry into effect by the different orientation. 2 The sponsorship of art and culture is the fusion of marketing and public relations, and become" Marketing Public Relations". 3 The relation between the foundation and the group of art and culture changes the direction to the" cooperation", but the" sponsorship". 4 The operators of the enterprise should ponder the ability of the enterprise, from the personnel specialized degree, the enterprise resources and the adjustment of stakeholders, to decide whether it should set up the corporate foundation to sponsor art and culture or not.

研究结果显示，企业公关部门与企业基金会所能达成的企业目的相同，却是透过不同的方向去进行：企业公关部门偏向营利观点，而企业基金会则扮演非营利形象的角色，透过赞助艺文的方式，与公共关系部门形成相辅相承的的互补关系；在企业基金会的艺文赞助行为上乃是融合行销与公关的概念，形成企业「行销公关」的一环；另外在艺文团体与企业基金会的关系上，是走向双向「互助合作」，而非单向的「赞助」关系；最后，企业经营者应衡量企业的能力，从人员专业程度、企业资源及调整企业内外群众关系的能力来决定是否应设立企业基金会从事艺文赞助行为。

The causes of shield tunnel defections could be divided into six branches: the segment dislocations, lining material deterioration and seepage. etc. Fault trees are also founded to illustrate each branch. 23 quantitative elements from the fault trees are selected to serve as the diagnosis indexes, all of which could be applied in engineering practice. By using the AHP method, a 3-level diagnosis index system is established. Afterwards, the procedure of setting up the quantitative judging criteria is given, as well as the relative index weight of index layer, by using the improved Analytic Hierarchy Process-multiplication scale method. At last, the values of corresponding parameters of membership functions are set, with the Cauchy distribution model.

将盾构隧道常见病害成因分为管片错位、衬砌材质劣化以及渗漏水等6个子系，对每个子系构建了病害故障树；从工程应用角度出发，从故障树中选取了23个可定量化因素作为评价指标，通过层次分析法建立了三层病害评价指标体系；对体系中单一评价指标的定量化分级方法进行简述，并给出所有指标的建议分级标准，采用改进的层次分析法－乘积标度法确定了各评判指标之间的相对权重；确定了基于Cauchy分布模型的隶属函数的关键参数。

Think candle displays set in apples and surrounded by greenery, door wreaths made with branches and chicken wire and table displays of frosted grapes created by dipping them in egg white and coating them in sugar.

想象一下蜡烛插在苹果上，周围铺上草木。门上的花圈就用树枝和细铁丝编制而成。在桌子上放上结霜的葡萄，这个葡萄是通过在蛋白中浸泡然后在表面涂上白糖制成的。

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。