S~1 × S~1-Borsuk-Ulam Theorem on Product Spaces

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Group methodology in production management: A solution based on a hierarchical classification method

We consider the problem submitted by Garcia and Proth and we propose for it a solution obtained by simply applying our very general method of hierarchical classification based on the likelihood of the links, in the case of an incidence table of data. This application is done on each of the two sides of the incidence data table. In our approach, the common number p of classes has not to be fixed arbitrarily, but is an observed possible result—provided by the notions of ‘significant’ levels and nodes of the classification tree—for the ‘natural’ association between two partitions. We compare our solution with the previous one.     

基于单光纤对模型的光纤束调制函数的建模与仿真

基于单光纤对光强调制特性的函数表达式,建立了双束型光纤束的调制函数,并引入一个虚拟轴间距参量,建立了随机型光纤束的光强调制函数.同时又在视内圈光纤束为单根粗光纤的情况下,建立了同轴I型和同轴型光纤束的光调制函数.在随机型和同轴型光纤束模型的基础上建立了双圈型(DC)和同轴随机型(C-R)光纤束的光调制系数.最后对上述光纤束的调制特性函数进行了计算机仿真实验.     

空间群O_h~7O~4T~2母分系数的计算

在群链G G_1 G_2中,把两个子群的IR(不可约表示)基相乘,然后把乘积基耦合成IR基,耦合系数我们称之为母分系数。本文把陈金全创立的本征函数法用于计算空间群的群链O_h~7 O~4 T~2的母分系数,计算的结果显示母分系数是满足正交关系,同时也说明此方法是适用的。     

Group Laws [x,y −1] ≡ u(x,y) and Varietal Properties

Let F = ?x, y? be a free group. It is known that the commutator [x, y ^?1] cannot be expressed in terms of basic commutators, in particular in terms of Engel commutators. We show that the laws imposing such an expression define specific varietal properties. For a property 𝒫 we consider a subset U(𝒫) ? F such that every law of the form [x, y ^?1] ≡ u, u ∈ U(𝒫) provides the varietal property 𝒫. For example, we show that each subnormal subgroup is normal in every group of a variety 𝔙 if and only if 𝔙 satisfies a law of the form [x, y ^?1] ≡ u, where u ∈ [F′, ?x?].     

Group Rings Whose Symmetric Units are Solvable

Let K be an infinite field of characteristic different from 2, and G a group. Under suitable restrictions upon G, we classify the groups such that the symmetric units of KG satisfy the solvability identity (x ₁, x ₂,…, x _{2 ⁿ} ) ^o  = 1, for some n.     

e~＋－Kr和e~＋－Xe弹性散射截面的模型势计算

用模型势方法计算了低能正电子与Ｋｒ、Ｘｅ原子弹性散射总截面与动量转移截面，并将本文的计算结果与理论计算及实验值作了比较。     

Group inverses for some 2 × 2 block matrices over rings

We first consider the group inverses of the block matrices (A0BC) over a weakly finite ring. Then we study the sufficient and necessary conditions for the existence and the representations of the group inverses of the block matrices (ACBD) over a ring with unity 1 under the following conditions respectively: (i) B = C, D = 0, B^# and (B^πA) ^# both exist; (ii) B is invertible and m = n; (iii) A^# and (D - CA^#B)^# both exist, C = CAA^# , where A and D are m × m and n × n matrices, respectively.     

可见-近红外光谱的模型转移分类方法

基于光谱技术建立的多元校正模型通常条件下只适用于同一台仪器、相同的测试条件及同批次或同类别的样品.在仪器、测试环境、样品发生变化后,已建光谱模型不再适配,需要进行模型转移.模型转移是限制光谱技术推广应用的关键技术瓶颈,模型转移是否成功直接影响到可见-近红外光谱技术的推广应用,为此,综述了其研究现状,并探讨了其未来发展方...     

存在通道幅相与互耦两种误差的均匀圆环阵流形曲线拟合方法

针对实际装配后均匀圆环阵的阵列流形向量偏离理论值的问题,提出一种利用单声源从不同方位入射阵列时的阵列幅度相位响应拟合阵列流形模型的算法。考虑阵列存在通道幅度相位一致性偏差和阵元间互耦作用,导出阵列幅度相位响应与流形误差参数的关系式,利用互耦矩阵在模态域可与阵列流形分离的特性,将关于误差参数的关系式降次为线性方程组,再联合多个方位对误差参数做最小二乘估计。对于只存在其中一种误差的特例情况,给出了对应高精度、低复杂度的估计方法。最后,利用数值仿真对所提方法的拟合精度进行评估,拟合后的阵列流形误差距离缩减至10^-2量级,水池实验数据也验证了算法在实际应用中的可行性。