公地

As we all known, with the founding of Euclidean geometry in ancient Greece, with the development of analytic geometry and other kinds of geometries, with F.Kline" s Erlanger program in 1872 and the new developments of geometry in 20th century such as topology and so on, man has developed their understand of geometry. On the other hand, Euclid formed geometry as a deductive system by using axiomatic theory for the first time. The content and method of geometry have dramatically changed, but the geometry curriculum has not changed correspondingly until the first strike from Kline and Perry" s appealing.

纵观几何学发展的历史，可以称得上波澜壮阔：一方面，从古希腊时代的欧氏综合几何，到近代解析几何等多种几何的发展，以及用变换的方法处理几何的埃尔朗根纲领，到20世纪拓扑学、高维空间理论等几何学的新发展，这一切都在不断丰富人们对几何学的认识；另一方面，从欧几里得第一次使用公理化方法把几何学组织成一个逻辑演绎体系，到罗巴切夫斯基非欧几何的发现，以及希尔伯特形式公理体系的建立，极大地发展了公理化思想方法，不管是几何学的内容还是方法都发生了质的飞跃。

Although the axiomatize of set theory dispels the crisis of axiomatizing in some time.

虽然集合论的公理化一度时期曾化解了悖论给公理化方法所带来的危机，但不久哥德尔不完全性定理就深刻地揭露了公理化方法不可避免的局限性。

And I saw him come close unto the ram, and he was moved with choler against him, and stroke the ram, and brake his two horns: and there was no power in the ram to stand before him, but he cast him down to the ground, and stamped upon him: and there was none that could deliver the ram out of his hand.

007 我见公山羊就近公绵羊，向他发烈怒，牴触他，折断他的两角。绵羊在他面前站立不住；他将绵羊触倒在地，用脚践踏，没有能救绵羊脱离他手的。

And I saw him come close unto the ram, and he was moved with choler against him, and smote the ram, and brake his two horns: and there was no power in the ram to stand before him, but he cast him down to the ground, and stamped upon him: and there was none that could deliver the ram out of his hand.

8：7 我见公山羊就近公绵羊，向它发烈怒，抵触它，折断它的两角。绵羊在它面前删立不住。它将绵羊触倒在地，用脚践踏，没有能救绵羊脱离它手的。

A modular exponentiation for very large integers is one of the most common fundamental operations in many public-key cryptosystems.

模乘幂运算是公钥密码体制中最常用的基本运算，提高其运算速度可有效地提高公钥密码算法的加解密效率。

As I was reflecting, a he-goat with a prominent horn on its forehead suddenly came from the west across the whole earth without touching the ground.

我定睛注视之时，看见有一只公山羊由西而来，跑遍天下而脚不着地；这只公山羊在两眼之间，有一只显著的角。

I turn around to look for thehusband, he is coming, I threw the husband bosom, the tear scatter thehappy subcrust current to arrive on the husband clothes.

我转身去找老公，他正过来，我一头扎进老公怀里，眼泪撒着欢地流到了老公衣服上。

The wolf got up again with a surprising rapidity and flew at the young hound; his teeth clacked, and the hound, covered with blood from a gash in his side, thrust its head in the earth, squealing shrilly.

那只狼出乎意料疾速地抬起身子，向黑褐色的公犬扑过去，咬了它一口，牙齿碰得磕磕地响了一下，公犬的肋部给狼撕开了，身上鲜血淋漓，发出尖声的惨叫，倒了下来，将头埋入土里了。

The scheme decreases the computation and storage of mobile nodes with reduced commutation overhead.The security is also improved for the initially existence of the off-line trued third party.The scheme provides high availability and security due to the distributed public key management model and gives a good solution to the problem of public key revocation dependent on the localized trust model.The server nodes of public key management can be dynamically adjusted to adapt to the dynamic nature of MANET.

方案中不需要公钥证书的存在，减少了系统通信开销以及结点的计算量和存储容量；在组网时依赖于一个离线的可信任机构，提高了系统的可信度；采用分布式CA模型，克服了传统集中式CAN用性与安全性的问题；依靠局域化的信任模型，对恶意结点进行了有效的处理，较好地解决了公钥撤销问题；****管理服务结点可动态调整，能够较好地适应MANET的动态特性。

By well combining the public-key cryptography with Anderson′s public-key steganographic protocol and Eggers′ histogram preserving information embedding method, a new public-key image steganographic scheme is proposed.

将公钥密码技术、Anderson的公钥信息伪装协议和Eggers的直方图保持的数据嵌入方法有机地结合在一起，提出了一种新的公钥图像隐秘通信方案。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。