1.It is found that the energy spectrum of the bound states of a charged fermion and a Dirac dyon is divided into many series of spectral lines according to the different K=n+[μ]_(integer). The stark effect for the system is discussed.
ZZ_d《137的荷电费米子-狄拉克双子束缚态的能谱,按照它们不同的K=n+[μ]integer可以分为不同的线系,每个能级具有(2j+1)度简并。在均匀电场中,由于斯塔克效应,简并将完全消除,正如在均匀磁场中的塞曼效应一样。
2.Surely the output should be true and then false, since both Integer objects are the same.
一般人都会认为输出结果肯定先是true，再是false，因为两个Integer对象都是相同的。
3.3. Lossy and lossless image compression is realized by means of integer wavelet transform, and the shortcoming of pure lossy compression with non integer ones is overcame. Here the influence of different wavelet base to the effect of compression is discussed, and conclusions are obtained as follows: To the choice of wavelet base in SPIHT image codec, in lossless codec, integer LG5/3 and in lossy codec, non integer DB9/7 wavelet base is recommended.
3、将整数小波变换应用于图像编码之中，克服了非整数小波变换只能有损压缩的缺点，实现了图像从有损到无损的压缩，并分析了不同小波基对压缩性能的影响，最后得到如下结论：在SPIHT压缩编码中，有损压缩推荐使用非整数DB9／7小波变换，无损压缩推荐使用整数LG5／3小波。
4.a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on.
一个分数其分子为实数分母为实数加分数，分母中分数的分子也是实数，分母也是实数加分数，如此类推。
5.The experimental results show that the CDF(m,n) transform based on lifting scheme and integer operation, is an integer_integer invertible transform, and that the image lossless compression performance of CDF(2,n) is better than that of Huffman, NinRar,Raw+WinZip, JPEGLS.
实验结果表明,基于提升方案和整数运算的CDF(m,n)变换是整-整可逆变换,CDF(2,n)的无失真压缩性能好于流行的Huffman、WinRar、Raw+WinZip、JPEGLS。
6.The integer haar wavelet transform theory is discussed. On the basis of integer haar wavelet transform, an image coding algorithm for the image lossless compression is presented, which combines integer haar wavelet transform with DPCM. By comparison with Arj and lossless algorithm used in JPEG, the new algorithm improved the compression ratio by 12%.
讨论了整数Haar 小波的构造方法，在此基础上提出了一种整数Haar 小波与DPCM 相结合的无失真图像编码方法，该方法运算速度快，硬件实现简单，与ARJ和JPEG 中使用的无失真编码方法相比，压缩比平均提高了12 ％ 左右
7.Let r be an odd integer with r > 1, m be an even integer. Let Ur, Vr beintegers satisfying and c was a power of prime, then the equation ax + by = cz had only the positive integer solution (x,y,z) = (2, 2,r).
设r是大干1 的奇数,m是偶数,Ur和Vr是适合 的整数,a=|Vr1,|b=|Ur|,c=m2+1.证明了:当r≡3(mod 4),m≡2(mod 4),m>r/π,且c是素数方幂时,方程az+by=cz仅有正整数解(x,y,z)=(2,2,r).
8.In this paper, firstly the theoretic pitfal, which is caused through evaluation the rightness of integer ambiguity solution based on the three step approach of the traditional hypothesis test theory, is pointed out; then the concept of the pull in region for ambiguity and the definition of the admissible integer estimation are introduced, and on the basis of the original definition for the admissible integer estimation a new severer definition is given;
首先指出了基于传统的假设检验理论的三步法在评价模糊度整数解正确性时存在的理论缺陷 ,然后介绍了模糊度归整域的概念和可容许整数估计的定义 ,并在可容许整数估计原定义的基础上给出了更为严密的新定义。
9.Then, the four procedures of controller synthesis, namely, the constraint transformation method (CTM), the eigen marking method (EMM), the linear integer program method (LIP) and the extended linear integer program method (ELIP) are discussed one by one.
接着研究了四种具体的控制器综合方法，即约束变换法、特征标识法、线性整数规划法和扩展线性整数规划法。
10.5(mod8), c is a power of a prime and the equationax+by=cz has a positive integer solution (x, y, z) = (2,2, r), where r is an odd integer with r>1, then the exceptional solutions (x, y, z) of the equation satisfy x=2 and y=z=1(mod 2).
5(mod 8)且c是素数方幂时,如果ax+by=cz有正整数解(x,y,z)=(2,2,r),其中r是大于1的奇数,则该方程的例外解(x,y,z)都满足x=2以及y(?) z(?)
