完全平方

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。

Anchor points based Isometric Embedding under least square error criterion has a time complexity of O n log( n , and after obtained geodesic distances it has linear time complexity for embedded points and can be fully realized in parallel.

基于锚点集的最小平方误差等距嵌入算法AIE具有O n log( n 的时间复杂性，而且在获得测地线距离后的计算时间复杂度达到对嵌入点数的线性关系，且可以完全并行实现。

By using Riccati transformation and integrality square technique, interval oscillation criteria of the equation are established.

研究了一类带强迫项的二阶微分方程，利用Riccati变换和完全平方技术，得到了该方程区间振动性的结果，最后用实例对所得结果进行了说明。

For all integers , is a perfect square.

对於每个整数，都是完全平方数。

Is a perfect square.

49是完全平方。

How many of the sets S0,S1,S2,……,S999 do not contain a perfect square?

在集合S0，S1，S2，……，S999中有多少个不包括完全平方数？

After the garment has completely dried the squarer removes it from the board and lays the pattern on top of it, marking its shape with a pen.

服装后，已完全干涸的平方器除去董事会，并奠定了在它上面的图案，标志着其与笔的形状。

Besides the study about influence of anthropometrical factors on trunk muscle endurance is not satisfactory, so body fat percentage and body mass index data were recorded and analyzed.

另一方面，文献上体型资料与躯干肌肉耐力相关性之研究尚不完全，故同时记录体脂肪含量与体重身高平方比两种常用体型资料做分析。

Prove that if n is not a square then it has an even numble of divisors.

证明：若n不是完全平方数，则n有偶数个因数。

The results show that the perfect Honeycomb pattern films without defects within area of 0.8cm^2 can be obtained at the PS concentration ranges from 20 mg/mL to 50 mg/mL and PS/TEOS mass ratio less than 2. The films cast from the chloroform solution of dicarboxyl terminated PS were more perfect than those cast from the chloroform solution of monocarboxyl terminated PS. The perfect Honeycomb structure films could be obtained with both chloroform and benzene as solvents, but the pore diameter of films cast from benzene solution of PS was larger than that of films cast from chloroform solution of PS.

研究结果表明，聚合物浓度在20~50mg/mL，PS/TEOS质量比大于2：1的条件下可以制备结构完整的多孔膜，且制备的Honeycomb结构在0.8平方公分内无缺陷；采用双羧基封端的聚苯乙烯成膜效果好于单羧基封端的成膜效果；以氯仿和苯作为溶剂均可以制备完全Honeycomb结构的复合膜，但以苯为溶剂制备的多孔膜孔径较大。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了