证明是

The most simple mathematical induction is the most common is that n is all natural, an expression of the establishment.

中文摘要：数学归纳法是一种数学证明方法，是数学中关于自然数命题的主要证明方法，用于确定一个表达式在所有自然数范围内成立，或者用于确定一个表达式在一个无穷数列中成立。

We improve the protocol for signing contract based on the research result of secure multiparty computation. In this protocol, the parties obliviously transfer the signed bit and the committed bit; the other parties can prove the validity of this bit based on the confirming sub-protocol, but he can't gain more information about the whole signature by accumulating the more signed bit or the committed bit. After the parties exchange the whole signed information, they declare the commitment about the signature respectively, and gain the whole signature of the other party. At this moment, the party doesn't care about the advance quit of the other party, because he has gained the whole signed information.

在协议执行过程中，参与者将合同的签名位以及他对签名位的承诺不经意传输给对方，对方可以利用验证子协议证明该位的有效性，但是他却不能通过位交换次数的增加获取更多的完整签名的信息；在完成签名位的交换之后，参与者分别公开承诺，并得到对方对合同的完整签名；在公开承诺时，协议参与者已经获得全部的签名内容，要么是签名位，要么是对方对该位的承诺，因此参与者并不需要担心对方提前终止协议，同时本文也利用多方安全计算的结论证明了该协议满足终止公平性。

If two parties want to sign a contract C over a communication network, they must "simultaneously" exchange their commitments to C Since simultaneous exchange is usually impossible in practice, protocols are needed to approximate simultaneity by exchange partial commitments in a piece by piece manner The party of secondly sending commitments may have a slight advantage; a "fair" protocol must keep this advantage within acceptable limits The protocol for signing a contract is improved based on the research result of secure multiparty computation In this protocol, the parties obliviously transfer the signed bit and the committed bit; the other parties can prove the validity of this bit based on the confirming sub protocol, but he can't gain more information about the whole signature by accumulating the signed bit or the committed bit After the parties exchange the whole signed information, they declare the commitment about the signature respectively, and gain the whole signature of the other party At this moment, the party doesn't care about the advance quit of the other party, because he has gained the whole signed information Finally, it is proved that this protocol is quit fairness

作者中文名：曲亚东；侯紫峰；韦卫摘要：在网络环境中解决合同签订问题需要保证信息交换的同时性，以前提出的协议都会给第2个发送者部分计算特权，利用不经意传输协议则可以解决这个问题。在协议执行过程中，参与者将合同的签名位以及他对签名位的承诺不经意传输给对方，对方可以利用验证子协议证明该位的有效性，但是他却不能通过位交换次数的增加获取更多的完整签名的信息；在完成签名位的交换之后，参与者分别宣布承诺，并得到对方对合同的完整签名；在宣布承诺时，协议参与者已经获得全部的签名内容，要么是签名位，要么是对方对该位的承诺，因此参与者并不需要担心对方提前终止协议。在文章的最后利用多方安全计算的结论证明了该协议满足终止公平性。

The treasurer of the state of new jersey, do hereby certify that, Paulette Biancemano the officer whose name is subscribed to the certificate of acknowledgment, proof or affidavit attached to the annexed instrument, was at the time of taking said ackonwledgment, proof or affidavit a notary public, in and for the state of new jersey, duly commissioned and sworn and was, as such , an officer of said state, duly authorized by the laws thereof to take and certify the same, as well as to take and certify the proof and acknowledgment of deeds and other instruments.

确实是比较多的。原文一水儿的大写字母，还没有什么标点符号，我自己翻了一下，请能者指教新泽西州财务主管据此作出保证，Paulette Biancemano，即在公证书上签名的公务员，依附于附属文件的证据或誓词是在出具所说的承认书时，公证人员的证据或誓词。在新泽西州以及代表新泽西州，正式委托、任命的一位所说州的办公人员，被相关法律正式授权以出具和证明上述证据或誓词以及出具和证明行为和其它文件的证据和承认书。

In Chapter 2, we show that Xi 3 for all planar graphs of girth not less than 4 which contains no 5- and 6-circuits or contains no 7- and 8-circuits or contains no 8- and 9-circuits, we also show that Xi 3 for each planar graph of girth not less than 4 which contains no 6-, 7- and 9-circuits.

在第二章，论文证明了每个围长至少为4且不含5-圈和6-圈或7-圈和8-圈或8-圈和9-圈的平面图是3-可选色的。同时还证明了每个围长至少为4且不含6-圈，7-圈和9-圈的平面图是3-可选色的。

A sex offender is a person who has been criminally charged and convicted of a sexual offense, or has plead guilty but not convicted.

性犯罪者：是那些在刑法上被指控或证明犯有性侵害罪的人，或者是虽未证明有性侵害罪但已服罪的人。

Standard of proof is not only the core of the proof theory,but also a question of first importance in the application of proof in judicial practice.

证明标准是证据制度中证明理论的核心内容，也是司法实践中证据运用的首要问题。

The purpose is to increase the judicial benefit and reduce the judicial cost. The inversion of the proof of medical Malpractice is a specific form which is proved as the proration of consequence.

医疗侵权的证明责任倒置是证明责任分配一种具体表现形式，其目的是为了平衡诉讼双方举证能力、保护弱者而设定的。

It was unprovable of course, but in provable instances the readings had shown themselves to be honest if not infallible.

当然，这是无法证明的，但解读材料表明，即使不可证明，它们也是诚实的。

If it can prove that you are a rapist, then it also can prove that you are a lover.

如果他能证明你是强奸犯，同样它也能证明你是恋人。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。