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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。

Weng Wenbo firstly pointed out that the occurrence of a floodwater has the commensurability ,and applied the principle of commensurability to the prediction of large natural hazards.

分析了上两个世纪发生在淮河的洪水事件的可公度性，根据其可公度值及其黄金分割点指出1991年与2003年淮河洪水的不可避免，最后讨论了可公度性的局限及淮河洪水可公度值的可能机制。

This will almost double the amount of greenhouse gases produced by livestock, dwarfing attempts to cut emissions elsewhere.

分别来看的话，直到2050年，肉类的需求量从229公吨升至465公吨，而奶制品则从580公吨升至1043公吨。

Mo-gong", Zhuang's sorcerer, plays irreplaceable position in the performance of Zhuang's drama. Before a performance given, Mo-gong will be invited to choose a lucky day for the performance, to speak incantation and invite Gods, and to exorcize ghosts and remove nefariousness. It is said that "If Mo-gongs don't speak, a performance will not given.

壮族巫师"魔公"在壮剧演出中占有不可替代的地位，戏班演出要由魔公择算吉日，念咒迎神，驱鬼除邪，有"魔公不开腔，戏班不开箱"之说，许多壮剧戏班甚至由魔公掌班。

A male hare, rabbit, ferret, rat, or kangaroo.

公兔，公白鼬，公鼠，公袋鼠

The basic unit will be in one ton of waste edible oil which indicated in the results. One ton of waste edible oil can produce 0.9 ton of the biodiesel which is equivalent to 1.0125 Kiloliter with 90kg of glycerin as by product.

研究结果以公吨废食用油为功能单位，每公吨废食用油约可产制0.9公吨生质柴油，相当於1.0125公秉生质柴油，及其副产品甘油90 kg。

Northland's opportunity cost of producing one tonne of Food is one tonne of Clothes and vice versa.

北国生产1公吨食品的机会成本是1公吨衣服，生产1公吨衣服的机会成本是1公吨食品。

The black sugar 170 grams, the salad oil 135 grams, the cadinene little, the salty 2 grams, the lactalbumin 35 grams put in the trough to mix well by the wire whipper, pours into the 100c.c water to continue again to mix well.

将黑糖170公克、沙拉油135公克、香草粉少许、盐2公克、乳清蛋白35 公克放入盆内以打蛋器调匀，再倒入100c.c水继续调匀。2。

As soon as they yesterday saw their doll do several things at the same time, greatly approves lovably, Selina also teases the Ella doll the temple to curl upwards, Ella suddenly extends the hand to the doll crotch grasps fiercely, will make the laughingstock to steal the scene; The Selina doll puts Taibei Ximending, Hebe, the Ella doll builds the high-valence iron together with them, places in separately Taichung the friend general merchandise and the Gaoxiong Chinese god general merchandise propaganda.

她们昨一看到自己的公仔分身，都大赞可爱，Selina还取笑Ella公仔的鬓角翘起来，Ella则冷不防将手伸到公仔胯下猛抓一把，很会制造笑料抢镜头；Selina的公仔放台北西门町，Hebe、Ella公仔跟她们一起搭高铁，分别放在台中中友百货及高雄汉神百货宣传。

If assessors use superiority of information to assess unsuitably or they do not do justice to insurance parties, it will influence benefit of insurance parties. Insurance assessment organization institution is an important part of insurance agency system.

保险公估人制度是保险中介制度的重要组成部分之一，如何更好的完善我国已经初步建立的保险公估人制度，在规范保险公估市场和约束保险公估从业人员行为等方面发挥作用，促进保险公估市场的良性发展，进而推动整个保险市场的发展，是一个亟待解决的问题。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。