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质数判定的二次剩余法
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作者 张元一 《沈阳理工大学学报》 CAS 1993年第3期51-58,共8页
在n^2±p型整数的质约数的基础上,进一步将结论推广到一般情况:对于任意一个正整数a,得出n^2±a型整数的质约数的全部类数,同时也给出求解n^2±a型整数的所有可能的质约数的一般解法。这种方法,可应用于判定一个整数是否是... 在n^2±p型整数的质约数的基础上,进一步将结论推广到一般情况:对于任意一个正整数a,得出n^2±a型整数的质约数的全部类数,同时也给出求解n^2±a型整数的所有可能的质约数的一般解法。这种方法,可应用于判定一个整数是否是质数,而成为一种新的、改进的Erastosthenes筛法。 展开更多
关键词 数论 二次剩余 质数/素数 筛法
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Research of mathematic culture and quality of mathematics education
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作者 LiqinTian 《International Journal of Technology Management》 2014年第6期38-40,共3页
In the basic concepts of mathematic culture, mathematics was given a broad meaning. Mathematics is not only a scientific language, a system of knowledge, but also a way of thinking, a kind of art has aesthetic feature... In the basic concepts of mathematic culture, mathematics was given a broad meaning. Mathematics is not only a scientific language, a system of knowledge, but also a way of thinking, a kind of art has aesthetic features. On this basis, the meaning of mathematical quality should have a new exposition, the essence of mathematical quality is integration of mathematic cultural values, knowledge, abilities, psychological, while the key to the quality of mathematics education is to fully embody the essence of mathematics culture, let the concepts of mathematic cultm'e integrated to the whole process of mathematics education. 展开更多
关键词 mathematic CULTURE quality education
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Rotational structure of the odd-proton nuclide ^(171)Tm:A projected shell model study
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作者 LIU YanXin CHEN FangQi +1 位作者 YU ShaoYing SUN Yang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2015年第5期76-81,共6页
Deformed odd-mass nuclei are ideal examples where the interplay between single-particle and collective degrees of freedom can be studied. Inspired by the recent experimental high-spin data in the odd-proton nuclide 17... Deformed odd-mass nuclei are ideal examples where the interplay between single-particle and collective degrees of freedom can be studied. Inspired by the recent experimental high-spin data in the odd-proton nuclide 171 Tm, we perform projected shell model(PSM) calculations to investigate structure of the ground band and other bands based on isomeric states. In addi- tion to the usual quadrupole-quadrupole force in the Hamiltonian, we employ the hexadecapole-hexadecapole(HH) interac- tion, in a self-consistent way with the hexadecapole deformation of the deformed basis. It is found that the known experi- mental data can be well described by the PSM calculation. The effect of the HH force on the quasiparticle isomeric states is discussed. 展开更多
关键词 rotational band isomeric state hexadecapole-hexadecapole interaction projected shell model
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