On homogeneous rotation symmetric bent functions

In this paper, we present partial results towards the conjectured nonexistence of homogeneous rotation symmetric bent functions having degree > 2.     

The stack of formal groups in stable homotopy theory

We construct the algebraic stack of formal groups and use it to provide a new perspective onto a recent result of M. Hovey and N. Strickland on comodule categories for Landweber exact algebras. This leads to a geometric understanding of their results as well as to a generalisation.     

光谱法分析迭代重建过程中的滤波

应用光谱法讨论了滤波器及其滤波方案对重建效果的影响。数值模拟重建场,应用光谱法分析了1/4,1/5,1/8均值滤波器,1/5中值滤波器,1/3行、列滤波器,在内嵌、外置等情况下对代数迭代重建的场滤波效果的影响。结果发现：用代数迭代法重建的场含有较大噪声,需要平滑处理;采用1/4,1/5或1/8均值滤波器仅对迭代结果滤波,会严重降低重建精度;采用1/4,1/8均值滤波器内嵌在迭代过程中按一定的迭代次数滤波,可以在一定程度上改善重建精度;采用1/5中值滤波器内嵌在迭代过程中比相应的均值滤波器重建效果更好;内嵌1/5中值滤波器和均值滤波器交替滤波,效果比单一的滤波器滤波更好。采用不同的滤波器和滤波方案对重建结果的影响差别较大。     

A new approach of binary addition and subtraction by non-linear material based switching technique

Here, we refer a new proposal of binary addition as well as subtraction in all-optical domain by exploitation of proper non-linear material-based switching technique. In this communication, the authors extend this technique for both adder and subtractor accommodating the spatial input encoding system.     

准线型四原子分子高激发振动能级的动力学李代数方法

近几年来 ,人们用李代数方法处理了许多问题 [1～ 5] ,在此基础上 ,我们利用动力学李代数方法研究了准线型四原子分子高激发振动态 ,把分子的 Hamiltonian展开成 Casimir算子与 Majorana算子之和[6,7] ,然后进行代数处理 ,从而得到了代数 Hamiltonian的本征值 .1　基本理论四原子分子有 3个键 ,所满足的对称群为 G=U1(4) U2 (4) U3 (4) ,处理分子问题时 ,一般要考Fig.1　 The bond coordinates of fulminic acid(HCNO)虑键与键之间的耦合 ,为了方便 ,首先让键 1与键 2耦合 ,然后再与键 3耦合 (图 1 ) .这种耦合方式可记为 (1 2 ) 3 …     

Design and Performance Analysis of High Speed Optical Binary Code Converter using Micro-Ring Resonator

The present paper describes various attractive logical code conversions using optical micro-ring resonator. We have proposed an all-optical switching activity using silicon waveguide based micro-ring resonator under low-power operation through two-photon absorption effect. The different properties of the optical switch are analyzed through numerical simulation. We have also proposed and described all-optical binary-to-octal, binary-coded-decimal-to-excess-3 and binary-to-Gray-code converter circuits by this proposed architecture. Numerical simulation results for code conversion verifying the proposed methods are given in this paper. We identify a combination of feasible ring radius and detuning through numerical simulation that allows analyzing the system performance of the scheme.     

Derivations and Skew Polynomial Rings

Soient D un corps non nécessairement commutatif et L un sous-corps de D. On établit une condition nécessaire et suffisante pour que le groupe multiplicatif L de L soit d'indice fini dans son normalisateur N dans D. Lorsque la dimension à gauche [D : L]_g est un nombre premier, on précise le groupe N/L et la structure de D.     

Local renormalizable gauge theories from nonlocal operators

The possibility that nonlocal operators might be added to the Yang-Mills action is investigated. We point out that there exists a class of nonlocal operators which lead to renormalizable gauge theories. These operators turn out to be localizable by means of the introduction of auxiliary fields. The renormalizability is thus ensured by the symmetry content exhibited by the resulting local theory. The example of the nonlocal operator is analyzed in detail. A few remarks on the possible role that these operators might have for confining theories are outlined.     

格值命题逻辑系统LP(X)的闭包算子

In this paper, closure operators of lattice-valued propositional logic LP(X) are studied. A family of classical closure operators are defined and the relation between them and closure operators of LP(X) is investigated. At the same time, a tool for checking compactness of LP(X) is given.