总和

Around AD 1000, the Islamic mathematician , Ibn al-Haytham, was the first to derive the formula for the sum of the fourth powers of an arithmetic progression , using a method that is readily generalizable to finding the formula for the sum of any higher integral powers, which he used to perform an integration.

公元1000年，伊斯兰数学家，伊本Haytham ，是第一个公式推导的总和第四权力算术级数，使用方法很容易推广找到公式的总和任何高积分的权力，他用来执行一体化。

If the total amount of the sum insured by double insurance exceeds the insured value, the total amount of indemnity paid by all insurers concerned shall not exceed the insured value.

重复保险的保险金额总和超过保险价值的，各保险人的赔偿金额的总和不得超过保险价值。

Where the amount in aggregate of the sum insured by double insurance exceeds the insurable value, the total amount of indemnity paid by all insurers concerned shall not exceed the insurable value.

重复保险的保险金额总和超过保险价值的，各保险人的赔偿金额的总和不得超过保险价值。

The Borel sum of a series is the Laplace transform of the sum of the term-by-term inverse Laplace transform of the original series.

系列的 Borel 总和是原始系列的逐条款倒转的 Laplace 转换的总和的 Laplace 转换。

Any capitalised sum may be applied in paying up new shares of a nominal amount equal to the capitalised sum which are then allotted credited as fully paid to the persons entitled or as they may direct.

任何资本总和可能被用于缴清具有某项面额的新股票，这等于当时分配而入账作为向权利人全部缴清或作为他们可以管理的资本总和。

At the request of the principal, we ,bank of china suzhou branch hereby irrevocably undertake to pay you any sum or sums not exceeding in total an amount of usd7215.40 upon receipt by us of your first demand in writing and your written statement atating that: 1,the principal is in branch of his obligationg under the underrlying contract; 2,the respect in which the principal is in breach this guarantee shall expire on dec10, 2008 or the completion of pricipals obligation under the contract, whichever later.

应校长请求，我们，中国银行suzhou分支在文字一成不变地特此同意支付您所有总和或总和不超出总共每相当数量usd7215.40在收据由atating那的我们您的第一需求和您的书面声明： 1，校长在他的obligationg分支根据underrlying的合同； 2，校长是突破口这个保证的尊敬在公寸10， 2008年或者主要 s义务的完成将到期根据合同，以后哪些。

This article offers a recursion formula of the total sum through the study of the total sum of the Cnm terms.

通过对这C_n~m项总和的研究，得到了一个总和的递推计算公式，给出了它的简便运算法则，并在研究过程中，意外地发现了两个非常有趣的推论。

The primary studying works and characteristics:1 To summarize reinforcing theory of cement mixing pile composite foundation2 To analyze the primary mechanics characters and changing rules of cement mixing pile, based on analysis of test data both indoor and outdoor.3 To discuss siding frictional resistance, ending resistance, ultimate bearing capacity of simple mixing pile and effectiveness factor of grouped piles, loading ratio of soil between piles under cushion cap of grouped piles and stress ratio of pile and soil and so on, and use many computation method and experimentation method to ensure bearing capacity of mixing piles composite foundation.4 To point out and analyze eight sides flaws and problems of the bearing capacity calculation method of mixing pile compositefoundation which ensured by national and normative method/ formula.5 To apply test results of loading tests and a few settlement observation data, use gray theory to predicate ultimate bearing capacity of deep mixing piles, actual example demonstrate engaging between theoretical predicted value and actual value.6 To apply groovy layerwise summation method to discuss entity piles method, double foundation method, equivalent layerwise summation method and consolidation theoretical method and so on, especially by combination of engineering example, use FEM to calculate or discuss the settlement and changing rules of composite foundation.7 To discuss problems of critical length of composite foundation by combination of engineering example and numerical analysis method, and analyze the contrast of critical length between simple pile load and most area load of composite foundation, not only critical length of composite foundation is relative to modulus ratio between piles and soil, but also upside load distribution area of composite foundation.

主要的研究工作与特色为：(1)总结了水泥搅拌桩复合地基的加固原理；(2)在对室内外试验资料进行统计分析的基础上，系统分析了搅拌桩水泥土的主要力学特性及其变化规律；(3)探讨了搅拌单桩的侧摩阻力、端阻力、极限承载力及群桩效率系数、群桩承台下桩间土荷载分担比及桩土应力比等，提出用多种计算方法并结合试验方法来综合确定搅拌桩复合地基的承载力；(4)明确指出和分析了按国家有关规范的方法确定搅拌桩复合地基承载力所存在的八个方面的缺陷与问题；(5)利用过去没有加载至破坏阶段的载荷试验成果和较少的沉降观测数据，尝试了用灰色理论预测深层搅拌桩的极限承载力，实例表明理论预测值与实测值吻合较好；(6)在常规分层总和法的基础上，探讨了复合地基沉降计算的实体墩基法、双层地基法、等效作用分层总和法、固结理论法等，特别是结合工程实例，用有限元数值计算等方法计算和讨论了搅拌桩复合地基的沉降及其变化规律；(7)结合工程实例，用数值分析方法探讨了复合地基临界桩长的问题，指出和分析了单桩荷载下的临界桩长与复合地基大面积荷载下的临界桩长存在很大的差别，复合地基的临界桩长不仅与桩土模量比有关，而且与复合地基上部荷载分布面积有关。

Of or relating to a summation or produced by summation.

总和的或者与总和相关的，或者由总和产生的。

If the Laplace transform of an infinite series were equal to the sum of its term-by-term Laplace transform then the Borel sum would be equal to the usual sum.

如果无限系列的 Laplace 转换然后等于其逐条款的 Laplace 转换的总和 Borel 总和会等于通常总和。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。