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我们可以认为，腐化难以消除，但我们仍积极要求获得尊严。We can admit the intractability of depravation, and still strive for dignity.

两种方案的安全性都是基于椭圆曲线离散对数问题的难解性。Both of their security are based on the intractability of elliptic curve discrete logarithm problem.

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最后，基于困难性假设，在标准模型下证明了新认证协议的安全性。The securities of the proposed schemes were proven in the standard model under intractability assumptions.

新方案效率高，在二次剩余困难假设和RSA安全的条件下是安全的。The new scheme is secure under condition of intractability assumption of quadric remain and the security of RSA.

该方案在离散对数问题和随机预言模型假设下是安全的。The scheme is secure under the assumption of the intractability of logarithm problems and the random oracle model.

大量研究表明，怎样快速有效地抑制各种原因产生的伪影，仍然是研究人员所面临的一个非常棘手的问题。One of the intractability appeared in researches is how to restrain all kinds of artifacts quickly and efficiently.

针对这两个问题，基于离散对数求解的困难性提出了一个新的门限多秘密共享方案。To solve these two problems, a new multi-secret sharing scheme based on the intractability of the discrete logarithm was presented.

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环境地质学与其他地质学科的最大区别是，把人类活动作为一种地质作用营力加以研究，这是前所未有的。This change will influence the human environment deeply, and it is a intractability problem for the future research of environment geology.

然而，虽然一国多河使河流管理更加复杂，但它不一定使争端更加棘手。Yet a multiplicity of countries, though it makes river management complicated, does not necessarily add to the intractability of a dispute.

基于离散对数的难解性，提出一种可验证多秘密共享方案并分析其安全性。Based on the intractability of the discrete logarithm, this paper proposes a verifiable multi-secret sharing scheme, and analyzes its security.

基于离散对数问题的难解性，利用二元多项式，给出一种多级门限多秘密共享方案。A multi-level threshold multi-secret sharing scheme based on bivariate polynomial and the intractability of the discrete logarithm was proposed.

在世界和奥巴马政府进入2010年之际，对阿富汗战争的棘手之处表示担忧，并非愚蠢或杞人忧天。As the world and the Obama administration move into 2010, it is not foolish or alarmist to express concern about the intractability of the Afghan ulcer.

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数论中存在着许多难题，很多密码体制就是以这些难题为安全性基础的。There are many intractable problems in number theory, many cryptosystems were established of which the security is based on the intractability of these problems.

游戏单位的个性化设计和独特性给游戏增添了全新的深度，它也许不会被大家一眼所认出，但是却能够使我们回味无穷，让我们欲罢不能。The unit personalities and intractability add a whole new depth to a game that may not be recognized on the surface, but for one reason or another keeps us coming back for more.

通过理论分析得出该算法的安全性基于大整数分解和求解离散对数的难解性。Theory analysis indicates that security of the modified ElGamal-like algorithm is based on the intractability of the integer factorization problem and conventional discrete log problem.

在这篇论文中，我们首先介绍一些基本的问题，这些问题即使是处于相当简化的局面下，也因为应用在无线移动随机式网路里的同侪计算的关系而变的非常棘手。In this thesis, we illustrate the intractability of several fundamental problems related to peer-to-peer data access in wireless ad-hoc networks, even under a rather simplified scenario.

最后证明所提出的方案在椭圆曲线离散对数难解假设下能有效抵抗伪造用户攻击，冒充攻击和重放攻击，具有较好的安全性。Given the condition of the intractability of the elliptic curve discrete logarithm problem, the proposed scheme was proved secure against forged user attack, impersonation attack and replay attack.