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通过讨论向量布尔函数零化子的代数次数,对向量布尔函数的代数免疫性质进行研究,得出其置换不变性,即在输入变量作仿射变换和输出变量作置换之后仍然保持不变,并得出向量布尔函数代数免疫与线性组合函数重量、Walsh谱以及非线性度之间的关系. 相似文献
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Electronic structure of SmCo7-xHfx compound is calculated by using the multi-scattering Xα method. It is shown that a few of electrons can transfer to the Sm 5d orbital due to orbital hybridization between Sm and Co atoms. The 3d-5d coupling is stronger, which is the main reason to result in the long-range ferromagnetic order between Sm and Co atoms in SmCo7-xHfx. According to the Stoner criterion, the result of spin-unpolarized calculation for the Sm5Co32Hf2 duster could lead to a better understanding of why the ferromagnetic SmCo7-xHfx is a stable phase. For the Sm5Co32Hf2 duster the Fermi level is situated at the overall maximum of the density of states. Moreover the duster wavefunctions at EF are antibonding and hence highly localized in real space, which would lead to a large value for the duster Stoner integral. Thus a rationalization for the magnetic stability of SmCo7-xHfx has been obtained. 相似文献
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利用布尔函数的汉明重量与代数次数之间的关系,得到布尔函数不存在低次零化子的一个充分条件.通过构造适当的仿射子空间,保证布尔函数不存在低次零化子,得到偶数元最优代数免疫布尔函数的一种构造方法,并对此类函数进行了计数. 相似文献
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