查询词典 algebraic integer

If two integer s are both odd or both even,they are said to have the same parity;if one is odd and one even,they have different parity.

假如两个整数都是奇数或都是偶数，则它们具有相同的奇偶性；假如一个是奇数，一个是偶数，它们则具有相异的奇偶性

Your program should print to the output a single integer ?the exact value of the square of the wallpaper needed.

你的程序必须输出一个整数，即所需要的壁纸的准确面积。

When the target function not explicit analysis expression (for example produces with value table), or has time the integer request to the variable, with .

当指标函数没有明确的解析表达式，或者对变量有整数要求时，用表格法。

Not expressible as an integer or as the root or quotient of integers.Used of numbers,especially nonrepeating infinite decimals.

超越的不能表示为整数或整数的根或商的，用指来数字，尤其是无限不循环小数

The security of BBS is based in the difficulty of computing integer factorization.

在论坛安全的总部设在计算整数分解困难。

Every integer can be written uniquely as a product of prime factors, and that because the Fermat number are co-prime, each prime number can appear in at most one Fermat number.

每个整数都可以被独特得分解质因数，而且因为费马数是互质的，每一个质数最多只能在一个费马数中出现。

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。

By the time I was a student in high school I was reading the classic "Men of Mathematics" by ET Bell and I remember succeeding in proving the classic Fermat theorem about an integer multiplied by itself p times where p is a prime.

到时候我是在高中我是读经典的"数学人"由ET贝尔，我记得在证明费马约的经典本身乘以一个整数定理成功学生p次，其中p是素数。

At present, most of the image watermarking algorithms based on the wavelet transform fail to take into account the shortcoming that the first generation wavelet transform used in image processing will introduce quantization errors inevitably, because of the storing characteristics of the image. Wavelet transform that maps integers to integers will not introduce quantization errors. Its time-frequency analysis method and multi-scale property accordant with human being vision system makes integer wavelet transform an ideal way for digital watermarking.

目前，大多数基于小波变换的图像水印算法没有考虑到第一代小波变换用于图像处理中不可避免的引入量化误差的缺点，而整数小波变换除了具有小波的多分辨率分析与人类视觉特性一致、具有良好的时频特性等优点以外，还避免了第一代小波变换用于图像处理中引入量化误差等缺点。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48