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We apply supervised machine learning to study the topological states of one-dimensional non-Hermitian systems.Unlike Her......
IMO 2001 was held in Washington, DC, USA. July 1-14,2001.83 terms are participating.There were 39 gold medals, 70 silve......
To solve a problem, you must understand it. So, if the problem is written down, you must read it carefully. Here are th......
We find a formula for the sum of the first n squares:Sn = 12 + 22 + 32 + 42+…+n2.We haveS1 = 1, S2 = 12 + 22 = 5, S3 ......
<正> P. Erds conjectured that there was no integral solution for the equation XxYy=Zz （1） when X>1, Y>1, Z>. Prof. Ko Chao......
<正> It is well known that the set of nowhere differentiable continuous functions defined on [0, 1] is the complement of......
<正> Let K be the skew field of rational quaternions, namely the set of all quaternions a+bi+cj+dk such that a, b, c, d ......
Let Δ（a<sub>,</sub> ……, a<sub>k</sub>; x） denote the error term in the asymptotic formula for the summatory function of......
Integer factorization (IFP), also called prime factorization, is an important problem in number theory, cryptography, an......
1.What is the sum of all two-digit positive integers whosesquares end with the digits 01?2.Of 6000 apples harvested,eve......
The combination of shearing interferometer, Fourier-transform profilometry, phase unwrapping by lockup table method has ......
In this paper,we study the RSA public key cryptosystem in a special case with the private exponent d larger than the pub......
Some general formulae for relationships including those of high order are presented using a method of structure factor ......
NEW LABELLING SCHEME OF ROTATION-VIBRATION STATES IN A LINEAR POLYATOMIC MOLECULE-LIE ALGEBRAIC POIN
THE results of a study on Clebsh-Gordan coefficients of polarharmonics have been reported.A labelling scheme has beenpr......
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Example Find the sum of the consecutive inters from 1 to 100 without the use of calculator. Solution Step1 Understanding......
Laeunary Measures and Self-similar Probability Measures in Funetion SPaees Hans TRIEBELAbstraet The paPer deals with mul......
Let Λ={λ_κ} be an infinite increasing sequence of positive integers with λ_κ→∞. Let X={X(t), t∈R~N} be a multi-......
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Let G be a weighted graph with adjacency matrix A=[aij]. An Euclidean graph associated with a molecule is defined by a w......
In mathematics,number is a mathematical object used to count and measure.There are so many numbers like negative numbers......
The Topological Degree in Ordered Banach Spaces Adrian DUMA Ileana DUMA This paper is devoted to the applications of cla......
The 4-channel smooth wavelets with linear phase and orthogonality are designed from the 2-channel orthogonal wavelets wi......
F, K, 1) Optical orthogonal codes (OOC) are the best address codes applied to optical code division multiple access (OCD......
It is proved that if G is a (+1)-colorable graph, so are the graphs G×Pn and C×Cn, where Pn and Cn are respectively th......
Self-Dual Weak Hopf Algebras Munir AHMED Fang LI In this paper,we define the notion of self-dual graded weak Hopf algebr......
Lifting scheme is a second-generation wavelet transform which is easier to understand than the first-generation wavelet ......
In this paper, some similarities and differences between chaos maps and cryptographic algorithms arediscussed. Mapping ......
Let q be a power of a prime and φ be the Frobenius endomorphism on E(Fqλ), then q = tφ- O2. Applying this equation, a......
Linear complexity and k-error linear complexity of the stream cipher are two important standards to scale the randomicit......
We present definitions of the correlation degree and correlation coefficient of multi-output functions. Two relationship......
In this paper, we prove the following result: Let a and bbe large integers, satisfying that (a, b)=1. If Diophantine equ......
In order to reduce or eliminate the multiple access interference in code division multiple access (CDMA) systems, we nee......
A Decomposition Theorem for G-GroupsⅠ.LIZASOAIN Some classical results about linear representations of a finite group G......
Efficient reconfigurable VLSI architecture for 1-D 5/3 and 9/7 wavelet transforms adopted in JPEG2000 proposal, based on......
A new all-zero block determination rule was used to reduce the complexity of the AVS-M encoder. It reuses the sum of abs......
A proof of maximum contention-free property of interleavers for Turbo codes using permutation polyno
It is well known that interleavers play a critical role in Turbo coding/decoding schemes, and contention-free inter-leav......
Sequences with ideal correlation functions have important applications in communications such as CDMA,FDMA,etc.It has b......
Combining with the research on the linear complexity of explicit nonlinear generators of pseudorandom sequences,we study......
In this paper,we discuss some trellis properties for codes over a finite Abelian group,which are the generalization of t......
Binary signed digit representation (BSD-R) of an integer is widely used in computer arithmetic, cryptography and digital......
High effcient implementation of scaling in residue number system (RNS) is one of the critical issues for the application......
The theory of finite pseudo-random binary sequences was built by C.Mauduit and A.Sa’rk¨ozy and later extended to seque......
A new class of binary low-density parity-check (LDPC) codes is proposed based on B 2 (mod m) sequences. The parity-check......
Linear complexity is an important standard to scale the randomicity of stream ciphers. The distribution function of a se......
