The Chern characters of a hypersurface with singularities are appropriatecombinations of Ehresmann characters of this hypersurface.The Chern characters are usualChern numbers when the hypersurface is smooth.Some sorts...The Chern characters of a hypersurface with singularities are appropriatecombinations of Ehresmann characters of this hypersurface.The Chern characters are usualChern numbers when the hypersurface is smooth.Some sorts of inequalities for these Cherncharacters of an n-dimensional hypersurface are derived.展开更多
To enumerate isomers of the fluxional molecules, some theorems for maturity and the integer-valued characters of finite groups were introduced by S. Fujita and first author. The full non-rigid group of hexamethylethan...To enumerate isomers of the fluxional molecules, some theorems for maturity and the integer-valued characters of finite groups were introduced by S. Fujita and first author. The full non-rigid group of hexamethylethane is the semi-direct product of the direct products of six copies of the cyclic group Z3 by the dihedral group of order 12 (see, Asian J. Chem. (2010) 22 (3), 1966-1972). In this paper, we continue our study on finite groups (see Int. J. Theo. Physics, Group Theory, and Nonlinear Optics (2013), 17) and all the integer-valued characters of the above molecule are successfully derived.展开更多
Let K = $ k(\sqrt \theta ) $ be a real cyclic quartic field, k be its quadratic subfield and $ \tilde K = k(\sqrt { - \theta } ) $ be the corresponding imaginary quartic field. Denote the class numbers of K, k and $ \...Let K = $ k(\sqrt \theta ) $ be a real cyclic quartic field, k be its quadratic subfield and $ \tilde K = k(\sqrt { - \theta } ) $ be the corresponding imaginary quartic field. Denote the class numbers of K, k and $ \tilde K $ by h K , h k and {417-3} respectively. Here congruences modulo powers of 2 for h ? = h K /h K and $ \tilde h^ - = h_{\tilde K} /h_k $ are obtained via studying the p-adic L-functions of the fields.展开更多
Elizabeth,the heroine in Pride and Prejudice is generally considered to be an independent and subversive woman,who seeks her happiness regardless of the social class.This paper tries to prove Elizabeth is the dependen...Elizabeth,the heroine in Pride and Prejudice is generally considered to be an independent and subversive woman,who seeks her happiness regardless of the social class.This paper tries to prove Elizabeth is the dependent of the upper class based on the psychological approach.展开更多
文摘The Chern characters of a hypersurface with singularities are appropriatecombinations of Ehresmann characters of this hypersurface.The Chern characters are usualChern numbers when the hypersurface is smooth.Some sorts of inequalities for these Cherncharacters of an n-dimensional hypersurface are derived.
文摘To enumerate isomers of the fluxional molecules, some theorems for maturity and the integer-valued characters of finite groups were introduced by S. Fujita and first author. The full non-rigid group of hexamethylethane is the semi-direct product of the direct products of six copies of the cyclic group Z3 by the dihedral group of order 12 (see, Asian J. Chem. (2010) 22 (3), 1966-1972). In this paper, we continue our study on finite groups (see Int. J. Theo. Physics, Group Theory, and Nonlinear Optics (2013), 17) and all the integer-valued characters of the above molecule are successfully derived.
基金supported by National Natural Science Foundation of China (Grant No. 10771111)
文摘Let K = $ k(\sqrt \theta ) $ be a real cyclic quartic field, k be its quadratic subfield and $ \tilde K = k(\sqrt { - \theta } ) $ be the corresponding imaginary quartic field. Denote the class numbers of K, k and $ \tilde K $ by h K , h k and {417-3} respectively. Here congruences modulo powers of 2 for h ? = h K /h K and $ \tilde h^ - = h_{\tilde K} /h_k $ are obtained via studying the p-adic L-functions of the fields.
文摘Elizabeth,the heroine in Pride and Prejudice is generally considered to be an independent and subversive woman,who seeks her happiness regardless of the social class.This paper tries to prove Elizabeth is the dependent of the upper class based on the psychological approach.
