整数的

This invention provides compounds of Formula; wherein: R is a moiety selected from the group: and n is an integer of 1 or 2; R is selected from hydrogen, amino,-NRR, alkyl of 1 to 12 carbon atoms optionally substituted, aryl of 6, 10 or 14 carbon atoms optionally substituted, alkenyl of 2 to 12 carbon atoms optionally substituted, alkynyl of 2 to 12 carbon atoms optionally substituted, halogen, and a 5 to 10 membered heteroaryl ring optionally substituted, having 1 to 4 heteroatoms independently selected from N, O and S; R is selected from hydrogen, alkyl of 1 to 12 carbon atoms optionally substituted, aryl of 6, 10 or 14 carbon atoms optionally substituted, alkenyl of 2 to 12 carbon atoms optionally substituted, vinyl, alkynyl of 2 to 12 carbon atoms optionally substituted and halogen; R is H, alkyl of 1 to 12 carbon atoms optionally substituted, cycloalkyl of 3 to 8 carbon atoms, bicycloalkyl of 5 to 10 carbon atoms or aralkyl optionally substituted; R is OH or -OH; R and R are each independently H or alkyl of 1 to 12 carbon atoms or when optionally taken together with the nitrogen atom to which each is attached form a 3 to 8 membered saturated heterocyclyl ring; R is alkyl of 1 to 12 carbon atoms optionally substituted; or a tautomer or pharmaceutically acceptable salts thereof.

本发明提供式的化合物；其中：R 1 为选自基团和的部分；n为整数1或2；R 2 选自氢、氨基、-NR 6 R 7 、具有1到12个碳原子的视情况经取代的烷基、具有6个、10个或14个碳原子的视情况经取代的芳基、具有2到12个碳原子的视情况经取代的烯基、具有2到12个碳原子的视情况经取代的炔基、卤素和具有1到4个独立地选自N、O和S的杂原子的视情况经取代的5元到10元杂芳基环；R 3 选自氢、具有1到12个碳原子的视情况经取代的烷基、具有6个、10个或14个碳原子的视情况经取代的芳基、具有2到12个碳原子的视情况经取代的烯基、乙烯基、具有2到12个碳原子的视情况经取代的炔基和卤素；R 4 为H、具有1到12个碳原子的视情况经取代的烷基、具有3到8个碳原子的环烷基、具有5到10个碳原子的双环烷基或视情况经取代的芳烷基；R 5 为OH或-OH 8 ；R 6 和R 7 各自独立地为H或具有1到12个碳原子的烷基，或当视情况与其所连接的氮原子连接在一起时形成3元到8元饱和杂环基环；R 8 为具有1到12个碳原子的视情况经取代的烷基；或其互变异构体或医药学上可接受的盐。

In chapter one,we discuss tournament matrices that can not end in tie and theyare(0,1)-matrices,we first obtain a better lower bound for the number of regulartournament matrices,then we discuss the payoff matrix of tournament matrix,obtainsome properties of positive tournament matrices,a correlation between the spectralof a tournament matrix and its payoff matrix.We find serveal conditions that areequivalaent to a tournament matrix having 1 as its a eigenvalue.

第一章讨论不允许平局的竞赛矩阵-（0，1）-矩阵，得到了正则竞赛矩阵数目的一个下界，它改进了文献〓中已有的结果；在文献〓的基础上进一步讨论了正竞赛矩阵的性质，给出了利用已知平衡向量构造新平衡向量的方法；讨论了竞赛矩阵和它的支付矩阵的特征值之间的关系；指出了文献〓中的一个错误，回答了文献〓中的一个公开问题，得到了整数1为竞赛矩阵的特征值的充要条件及这种矩阵的谱根与得分向量之间的关系。

The constructing process of the algorithms itself indicate that they are brevity and have definite geometric meaning, scientific iterative terminal criterions and no strict requirement to function. Finally, some digital experimentation is presented to indicate the algorithms application in solving the problem of maximum of function, transcendental equation,integer programming and so on. The results indicate that the algorithms have more global and more adaptability compared to traditional algorithms and have more calculating efficiency and more scientific iterative terminal criterions compared to some present popular artificial intelligence algorithms.

算法的构造过程本身表明了该算法简单明了、几何意义明确、迭代终止准则科学、对函数的要求较低；最后举了几个数值试验的例子以说明该类算法在求函数的最值，解超越方程以及整数规划等问题中的应用；数值试验的结果标明该算法比单纯由"微分"思想演化而来的传统算法有更好的全局性和对问题的更广泛的适应性，比现在流行的一些人工智能方法有更高的运算效率和更适当的迭代中止准则。

The trinomial property of sequence In the respect of research on trinomial property of sequence, I have given a different proof to prove the main result in [2] , and have raised the exact enumeration formula of the number of binary sequences with period d that have a fixed positive integers pair as a trinomial pair, most important of all, I have given an efficient algorithm to find out all the trinomial pairs of a given sequence, and hence completely solved all the problems associated with trinomial property of sequences.

2序列的三项式特性在序列三项式特性的研究方面，本文对[2]的主要结论给出了不同的证明，而且给出了以固定的正整数对为三项式对的周期为d的二元序列的精确计数，给出了求解给定序列的所有三项式对的有效算法，从而完美地解决了与序列三项式特性相关的问题。

In the incontinuous cutting, the wave shape of milling can be looked as periodic function. When the milling wave shape with single-tooth was looked as impulse function, by the Fourier Transform, we can find out that it is composed of sine wave with a given frequency and a series of integer multiple frequency. Discussing on the power function is a major tache for studying on the cutting capability of the complex three-dimension groove milling inserts, so to know the facts that affect the single-tooth milling spectral value, and to observe the dynamic milling wave property from the composition of the power spectral, thus we can design and optimize grooves.

在断续切削中，铣削波形可被看作周期函数，将单齿铣削波形看成为脉冲函数，经过傅立叶变换，可以表示为一个按特定的基本频率变动的正弦波形的分量和许多个按基本频率的整数倍而变动的正弦波形的分量叠加而成，讨论所获得的频谱函数，是研究三维复杂槽型铣刀片切削性能的主要环节，以便了解影响单齿铣削波形幅值谱图的各种因素，并从功率谱图的组成情况来考察动态铣削波形的特性，从而进行槽型的设计和优选。

The result pointed out that the vertical distribution of foliage for each species was different,however,generally speaking,the foliage in upper crown (0.3CL) for broad-leaved species in natural secondary forest took a small percentage,about 10%;in middle or middle lower of the crown(0.4CL to 0.8CL) the branches here took the majority percentage of whole foliage,almost 60%to 75%;but in lower crown(0.8CL),there was about 10%of whole foliage.(5)The interspecies competition of trees in secondary forest was expressed by Hegyi competitioin index,and the active competitor was calculated by the competition zone radius and the tree position,DBH,and distance in the zone,it was not all competitors in tranditional calculation.The study introduced crown area overlap index to describe the crown competition between subject tree and its competitors,furthermore,the crown area was classified into 5 levels with a method of equal crown projection area,therefor,the resulting crown area overlap index showed more realities of existing stand conditons.(6)Based on the theoretics of multiply divide,the spatial strcture optimizing model of secondary forest stand selective thinning was developed by diversity mingling,aggregation index,competition index and crown area overlap index,also designed 10 constraint conditions which were related to forestry meanings,the objective function was solved by the implicit enumeration method with LINGO 9.0,using 0-1 integer programming.

并且得出，每个树种在树冠内相对高度上的叶量的垂直分布是不同的，天然次生林阔叶树种的叶量在树冠的上部(0.3CL以下)所占比例很小，约占10%左右；在树冠的中部以及中下部(0.4CL～0.8CL)，叶量所占比例最大，几乎集中了整个树冠60%～75%的叶量；而在树冠的下部(0.8CL以下)，几乎占很少的叶量，大约10%左右。5、采用Hegyi竞争指数来表现次生林内林木的竞争关系，并且根据竞争圈的大小和林木在竞争圈内的分布位置、大小与距离来计算有效的竞争木，并不是传统意义上的全部竞争木；本研究提出用树冠叠加指数来表示林木与周围树木的树冠竞争情况，并采用等树冠投影面积法把树冠分为5级，这样计算的树冠叠加指数更加与现实林分相符。6、本研究基于乘除法的思想，用多样性混交度、聚集指数、竞争指数和树冠叠加指数构建了天然次生林择伐空间优化模型，设计了10个与林学意义相一致的约束条件，并采用0-1整数规划的思路，在LINGO9.0软件中使用了隐枚举法对目标函数求得最优解。7、以M702标准地为应用实例，具体计算出了每株采伐木，经过择伐后，目标函数值按模型设计的要求发生了极大的改变，增加了5倍多，说明了最后这个解的优良性，满足了设计的要求。

To increase the security of the watermark, a new binary image encryption algorithm based on TD-ERCS map is presented. The watermark is encrypted by a chaos sequence generated by TD-ERCS map; A novel color image watermarking algorithm is proposed based on discrete chaotic map and 2-dimensions discrete wavelet transform. The watermark is encrypted by the new binary image encryption algorithm, and the encrypted watermark is embed into four sub-bands of the most deep level of blue branch of host image by three-level wavelet transform, and the embedded positions are determined by general cat cha otic map; A novel color-image blind detection watermarking algorithm is proposed based on integer wavelet transform and subsampling. The scrambled watermark is encrypted and embed into the low sub-bands after four sub-images of the Y branch of host image is transformed by two-level wavelet transform, and the embedded positions are determined by Logistic chaotic map, this watermarking scheme can realize blind extraction.

为了提高水印图像的安全性，提出了一种基于TD-ERCS混沌映射的二值水印图像的加密算法，该算法利用TD-ERCS映射产生的混沌序列加密水印图像；将离散混沌映射和二维离散小波变换相结合，研究了彩色图像水印新算法，该算法先对混沌序列加密后的水印图像进行小波变换，再嵌入到宿主图像的蓝色分量的最深层的四个子带中，嵌入位置则由广义猫映射确定；将整数小波变换和图像子采样技术应用于数字水印，提出了一种彩色图像盲提取水印算法，水印嵌入时，先对宿主图像在YIQ色彩空间中的Y分量进行子采样，并对得到的四个子图像分别进行二级离散小波变换，然后将置乱并加密后的水印图像嵌入到小波变换后的低频子带中，其嵌入位置由Logistic混沌映射产生的混沌序列确定，实现了水印的盲提取。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。