查询词典 integer representation

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。

During the migrating and optimizing process of targeted platform, this paper starts with the analysis on complexity of H.264/AVC algorithms, carries on plenty of tests, uses a series of optimizing methods aiming at the special hardware resources of PWBSP-16 platform: optimizing modules including SAD Calculate, Integer Transform and Quantization in the instruction level by using FIRtree instruction set; optimizing it by improving coding process and enabling co-processor such as VLx、DMA in system level by the thinking of modules parallelism maximizing; putting forward the future optimizing mind in the level of algorithms.

在目标平台的移植优化过程中，本文从H.264/AVC编码算法的复杂度分析入手，进行了大量的测试分析，并针对PWBSP-16 DSP处理器特殊的硬件资源，采取了如下一系列的优化策略：在指令级方面，采用FIRtree指令集对SAD计算、整型变换、量化等主要耗时模块进行优化；在系统级方面，采用模块并行最大化的思想，通过改进编码流程，启用VLx、DMA等协处理器等方法进行优化；在算法级方面，提出后续的优化思路。

A variable length unsigned 29-bit integer is used for the header and the first bit is flag that specifies which type of string is encoded.

可变长度的无符号的29-bit 的整数用于头，并且第一个 bit 标识字符串的编码。

A variable length unsigned 29-bit integer is used for the header and the first bit is flag that specif ies which type of string is encoded.

可变长度的无符号的 29-bit的整数用于头，并且第一个 bit标识字符串的编码。

For front to the DCT floating point calculation, it must be more precise than the integer ...

为前向DCT的浮点运算，它要比整数运算更精确。该程序只适用于8×8的块变换。

So that the floating point calculation is converted into integer calculation.

MSAFBAR算法对SAFBAR算法中的滤波器参数进行了简化，并将浮点型滤波运算变为整数型滤波运算。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。