证明

Nor can it be said that this argument fails by proving too much -- by proving, that is, that the pope should be impeccable, or at least that he should be a saint, since, if the Church must be holy in order to overcome the gates of hell, the example and inspiration of holiness ought to be given by him who is the visible foundation of the Church's indefectibility.

也不能说这种说法未能证明太多-证明，即教宗应是完美无瑕的，或者至少他应该是一个圣人，这是因为，如果教会必须圣地，以克服地狱之门，例如与启示成圣的应该给予他谁是有形的基础，教会的

His definitions do not always define, his axioms are not always indemonstrable, his demonstrations require many axioms of which he is quite unconscious.

他的定义并不总是下了定义的，他的公理并不总是不可证明的，他的证明需要许多他还没有完全意识到的公理。

This lawyer expresses, above all, mr Guo couple is indemonstrable the daughter that the dead is them, the Xiaoyan in indemonstrable also report is their daughter.

该律师表示，首先，郭先生夫妇不能证明死者是他们的女儿，也不能证明报道中的小燕就是他们的女儿。

Li Changqing thinks: The evidence that net of medicine of the whole people provides proves the search is linked less as a result only, this indemonstrable Baidu had forestall action.

李长青认为：全民医药网提供的证据只证明搜索结果少了链接，这并不能证明百度进行了垄断行为。

The Diels-Alder cycloadditions of [60] fullerene for preparation of optical limitingmaterials are discussed in chapter 3 and 6. Soluble cycloaddition derivatives of 〓aresynthesized by the reaction of 〓 with indene,1,1'-biindene andcyclopentadiene derivatives.〓Particular, the Diels-Alder cycloaddition of 〓 with1,1'-biindene under controlled conditions affords the stable monoadduct 〓〓of novel structure, which was confirmed by HPLC, FTIR, FD-MS,〓NMR,〓 NMR, HMQC and HMBC spectra, Its two bridgehead cage carbons resonate at70.91ppm, The 〓 NMR spectra showed 38 lines consistent with the 〓 symmetryassociated with [6,6] addition. The 〓 shows similar optical limitingproperties to that of 〓 in toluene for 8ns laser at wave length 532nm. Moreover, thehigh solubility of this adduct in polar solvents such as THF, acetone enables itsincorporation into sol-gel glass matrix. The thin films prepared via the sol-gel methodshow improved OL behaviour compared to those of 〓. The langmuir-Blodgett filmformation and uv-visible absorption of 〓 are also investigated. LBmonolayer of this compound is prepared on the air-water interface at 〓 mol/l. In chapter 4, three water-soluble derivatives of [60] fullerene: fullerol(1), theaddition product (2)of fullerol (1)with polyvinylpyrrolidone and fumaric acidderivative of 〓(3) are synthesized and characterized.

通过Diels-Alder环加成反应，用茚〓和1，1'-联茚〓及取代茂合成了一系列可溶性的〓环加成衍生物，发现可控制反应条件，使1，1'-联茚与〓反应，并高产率地得到具有新颖结构的单加成物，用HPLC、FTIR、FD-MS 及〓、HMQC、HMBC等多种波谱技术对其结构进行表征，测得它的两个〓杂化的桥头碳的化学位移为〓ppm，证明生成的衍生物为6∶6闭式环加成，〓NMR谱中共给出38个信号，表明〓联茚衍生物分子具有〓对称性；在波长532nm，脉冲宽度8ns的激光下，〓联茚衍生物的甲苯溶液的光限幅性能与〓的甲苯溶液相近，由于〓联茚单加成衍生物熱稳定性好，在四氢呋喃，丙酮等极性溶剂中溶解性好，能分别均匀地掺入溶胶-凝胶中，已发现它的溶胶(so1)光限幅性能优于纯〓的光限幅性能；使用Langmuir-Blodgett技术将〓联茚衍生物在空气和水的界面进行了LB单层膜和多层膜实验以及UV-Vis吸收谱研究，通过等温压缩曲线测试，证明浓度为〓〓时，〓联茚衍生物能够形成单层膜。

Mathematics proved to be direct and two indirect method, the reduction to absurdity is a kind of indirect proof, it is mathematical proof of Dafa.

帮我翻译：数学证明有直接法和间接法两，反证法是间接证法的一种，它是数学证明的大法。

By introducing the selective identity and selective chosen message attack model, this paper proved unforgeability of the scheme under the hardness of DHI problem and its indistinguishability against selective identity and chosen ciphertext attack under the hardness of DBDHE problem.

通过引入了选择身份和选择消息攻击的安全模型，利用DHI问题的困难性，证明了方案的不可伪造性，同时利用DBDHE问题的困难性，证明了方案在选择身份和选择密文攻击下的不可区分性。

D. Pointcheval, and J. Stern. Security proofs for signature schemes. Advances in Cryptology-Eurocrypt '96, LNCS1070, 387-398, Springer-Verlag, 1996. 4. 4. Y. Watanabe, J. Shikata, and H. Imai. Equivalence between semantic security and indistinguishability against chosen ciphertext attacks. PKC 2003, LNCS 2567, 71–84, Springer-Verlag, 2003. 5. 5. M. Bellare, R. Canetti and H. Krawczyk.

课内教学活动深入理解可证明安全的基本思想和原理，灵活使用可证明安全的方法和工具分析典型的密码方案，培养和锻炼严密的逻辑思维能力和书面表达能力；流利的口头讲解能力和学术辩论能力；强烈的探索创新能力和团队合作能力。

Mathematical induction is an important method in mathematics.

数学归纳法是数学中一种重要的证明方法，也是中学数学一个非常重要的内容，用于证明与无穷的自然数集相关的命题。

He sets out to prove that to punish the mad, the infant child or those who break the law unintentionally or under duress or even under 'necessity' must be inefficacious; but all that he proves is the quite different proposition that the threat of punishment will be ineffective so far as the class of persons who suffer from these conditions is concerned.

他试图证明惩罚疯子、法定未成年人或在受到胁迫的情况下无意识地乃至在"紧急避难"的情况下触犯法律的人[MSOffice1] ，必定毫无效果。但是，其所证明的却是这样一个完全不同的命题，即惩罚的威吓对那些处于此类状况下的人不起作用。

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。