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Contingent liabilities of Auriga, such as potential liabilities related to previous asset or business disposals, would however have to be assessed

任何或有负债，例如与其之前的资产或商业活动有关的潜在负债等，都必须经过评估。

This high result was interpreted to reflect previous auroral activity.

这一高结果可以用以前的极光活动来解释。

The classification of austral-style petroleum domain is based on previous austral system established by Dr.

南方型含油气域是在翁文波当年建立的南方体系基础上划分的。

The sample sets of training network are evaluation results of high reliability and authoritativeness, which can be summarized by experts from previous data of similar equipment development processes.

其训练网络的样本集为可信度高的权威性评价结果，可通过专家对以往类似装备研制过程的数据进行总结得到。

That was smaller than the previous months' declines, but it came in a month when the federal 'cash for clunkers' program was giving a big lift to auto sales.

虽然下降额低于7月份，但要知道，美国联邦政府的"旧车换现金(Cash-For-Clunkers)"计划曾在8月份明显提振了汽车销售。

Our previous study indicates the phenomenon of autoimmunization in burn patients.

我们的前期研究工作发现，烧伤后病人血清中自身抗体的存在比较普遍，其阳性率高达58.3%［1］。

By using the solutions of a new auxiliary elliptic equation,a direct algebraic method is proposed to construct the exact solutions of some nonlinear evolution equations.The main difference between this method and previous auxiliary elliptic equation methods is that the balance order becomes smaller after using the new auxiliary elliptic equation.Therefore,the derived algebraic equations are greatly simplified.

利用一个新的辅助椭圆方程将求解非线性发展方程精确解的问题转化为一个代数方程组进行求解，与已有的辅助椭圆方程法的主要不同是，应用这一新的辅助椭圆方程后降低了平衡次数，减少了所得的代数方程组的个数和方程的项数，从而大大地简化了代数方程组的求解。

An example of following the steps in the previous subsection is the implementation of the auxiliary distance iterator function.

下面一个在前面小节中的步骤的例子是辅助距离的实现迭代函数。

Provable Security is a formal method for proving the security of cryptographic schemes, in which the difficulty of breaking a particular scheme is formally related to that of solving a widely believed computational hard problem. Provable security has already become an important theme of theoretical researches in modern cryptography. This dissertation investigates the provable security of public-key encryptions and hybrid encryptions of asymmetric and symmetric encryptions. This includes the various formal security notions and the constructions can be proved to achieve them. Among the constructions, hybrid encryptions are themselves an important way to obtain public-key encryption schemes with chosen ciphertext security. The main results are as follows:(1) The one-wayness of the trapdoor one-way function in NTRU depends on the randomness of the session key, which is different from previous ones. Based on this observation, a new kind of trapdoor one-way function, trapdoor one-way functions with an auxiliary random variable is proposed.

可证明安全性是一种证明密码学方案安全性的形式化方法，它将密码学方案的安全性归约为公认的计算难题，已成为现代密码学领域中理论工作的主线，本文主要研究公钥加密与单双钥混合加密的可证明安全性，这包括它们的各种形式化安全性定义以及达到这些安全性定义的方案构造，而单双钥混合加密本身也是一种构造选择密文安全公钥加密的重要方法，本文得到的主要结果如下：(1)在研究NTRU公钥加密的特殊性基础上，对于公钥加密的陷门单向函数加密模型进行了扩展，提出了具有辅助陷门单向函数的概念，并将其扩展到多元的情况，讨论了可能的密码学用途。

Any person who avails himself of the priority of a previous application shall be required to specify the number of that application

任何人利用以前提出的一项申请的优先权的，必须写明该申请的号码

He studied their excrement for evidence of livestock hair.

他为家畜毛的证据研究他们的粪便。

Loneliness is not grounds for deportation, deportation of the people are not all lonely people.

寂寞也不是放逐的理由，放逐的人也并不都是孤独的人。