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Number Theoretic Transform; Integer transform; Fermat number transforms; Discrete Image data

数论变换；整型变换； Fermat数变换；离散图象数据

In 2000, F. LUCA proved that Fermat number are anti-sociable numbers, and in 2005, M. H. LE proved all powers of 2 are anti-sociable numbers. We have used the method of M. H. LE to obtain some new results of the anti-sociable numbers. For every integer n containing prime divisors that are 1 mod 4, let p mod 4 be an arbitrary prime divisor of n. There is at least one anti-sociable number in n^2, p^2n^2, p^4n^2, and p^6n^2. Therefore we can prove that anti-sociable numbers have positive density in perfect square numbers. We also give a method to find the exact anti-sociable numbers.

LUCA证明了Fermat数都是孤立数；2005年，乐茂华教授证明了2的方幂都是孤立数，用乐茂华教授的方法给出孤立数的一些新的结果：对于任意含有4w+1型素因子的正整数n，设p为n的任意一个4w+1型素因子，则在n^2，p^2n^2，p^4n^2，p^6n^2里至少有一个是孤立数，因此可以证明孤立数在完全平方数里有正密度，另外也给出求解确定孤立数的方法。

Presents the study of second order linear constant coefficient progressive regression equation with the latest achievements in the "greatest common divisor" theory to give the great significance of Fibonacci combination series equation, Fermat Number , and Mersenne Number, and a only exceptional value each.

用"最大公约数"理论的最新结果，研究二阶线性常系数齐次递归方程，给出斐波那契数列组合式、费马数、梅森数在组合数学上的重要意义和它各自有一个且唯一例外

The paper analyses fraction sum of Fibonacci and Lucas number, and obtains a number of interesting constant equations.

本文研究了Fibonacci数和Lucas数分式变换之和，得到若干有趣的恒等式。

With our company in the field of battery production and sales success and experience, combined with the international trend of development of enterprises, attaches great importance to "science and technology works, aimed at first-class" corporate management concepts, introduction and cultivation of a large number of science and technology have the senior titles personnel, so that the proportion of scientific and technical personnel of the total number of employees of 30%. In 2000 for the importance of new technology research and development of new products and applications, the investment has set up a "Ningbo Jiangdong original battery engineering and technology center", which specializes in battery performance and electrochemical behavior of materials research and the battery under different circumstances in the application of the test.

我公司凭借在电池生产销售领域取得的成功和经验，结合国际化企业的发展趋势，高度重视"科技兴厂，志在一流"的企业经营观念，引进和培养了一大批拥有中高级职称的科技人员，使科技人员的比例占总职工人数的30％。2000年公司为重视新技术新产品的研发和应用，投资成立了"宁波市江东原电池工程技术中心"，专门从事电池的原材料性能和电化学行为研究及电池在不同环境下应用的测试。

But the smaller number will be the old version of the file in the repository, and the bigger number will be the new version . The . mine file is your file before Subversion tried to merge it, and index.php will contain Subversion's best attempt to merge it.

较小的数字表示的是存储库中较老版本的文件，较大的数字则代表较新版本的文件。。mine文件是Subversion试图合并之前的你的文件，而index.php则包含Subversion进行合并的最佳尝试。

The reporter is in in limited company of entertainment of family of collection China accept understands: Trojan of upright arch painful?00 " it is 2007 year master piece of this company, continue to hold a title continuously in the country such as North America several weeks of box-office champion, up to now already the box-office beautiful performance that behead caught 200 million much dollar, make the central point that whole world filmgoer pays close attention to, and box-office number still is in hold Pan Shengzhong of afterwards high speed, have emersion greatly in those days " Tai Tan Buddhist nun restrains number the situation of fashionable whole world.

记者在中录华纳家庭娱乐有限公司了解到：《斯巴达300勇士》是该公司2007年度力作，在北美等国连续蝉联数周票房冠军，迄今为止已斩获了2亿多美元的票房佳绩，成为全世界影迷关注的焦点，并且票房数字还在持继高速攀升中，大有再现当年《泰坦尼克号》风靡全球之势。

Each game presents a randomselection of 20 notes, displayed one at a time, and you will be asked to identify where it lives onthe fingerboard by selecting its name, string number and fret number.

每次游戏随机展现选择的20个音符，一次显示一个，同时你需要在琴弦面板上通过选择音符的名称，字符号和音柱号的方式来识别音符的位置。

If there is a finite number of players and the action sets and the set of states are finite, then a stochastic game with a finite number of stages always has a Nash equilibrium.

如果随机博弈中参与者的数量有限并且每个博弈阶段可能的状态数量有限，那么一个具有有限博弈阶段的随机博弈一般都存在一个纳什均衡。

If fire hydrant boxes are found broken glass song, door locks and handles worse; found indoor fire hydrant and fire tube leakage; found water with aging, decay, bond, the number of missing, interface ring aging or not, the interface no coils; found that the number of missing water, damage, aging or no ring, please immediately notify the Security Committee.

11.7发现消火栓箱的玻璃松破、箱门门锁及拉手坏；发现室内消火栓及消防管漏水；发现水带老化、腐烂、粘结、数量不齐、接口密封圈老化或没有、接口无弹簧圈；发现水枪数量不齐、损坏、密封圈老化或没有，请立即通知安委会。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"