Let G be a group and r（G） the set of element orders of G. Let k E 7（G） and mk be the number of elements of order k in G. Let （G） = {mk]k C Try（G）}. In this paper, we prove that L2（16） is recognizable by T^...Let G be a group and r（G） the set of element orders of G. Let k E 7（G） and mk be the number of elements of order k in G. Let （G） = {mk]k C Try（G）}. In this paper, we prove that L2（16） is recognizable by T^（L2（16））. In other words, we prove that if G is a group such that ^-^（G） =（L2（16）） = {1,255,272,544, 1088, 1920}, then G is isomorphic to L2（16）.展开更多
Taking Yutou Dong Minority Village in Tongdao County for example, this study carried out questionnaire survey and interview survey from the perspective of environment element perceptibility and culture psychology reco...Taking Yutou Dong Minority Village in Tongdao County for example, this study carried out questionnaire survey and interview survey from the perspective of environment element perceptibility and culture psychology recognizability, on the basis of identifying 9 landscape genes, namely drum tower, wind-rain bridge, the village gate, Sa altar, overall layout, totem signs, and environmental factors. The survey results showed that 1 Sa altar has the highest perceptibility, and drum tower has the lowest perceptibility; 2 Sa altar and drum tower have the highest recognizability, overall layout, totem signs and environment have the lowest; 3 Location has the highest perceptibility and size has the poorest; 4 Sentiment has the highest perceptibility, function the lowest; 5 Men have higher perception and sense of recognition than women; 6 Education background has greater impact on perception, but no obvious impact on sense of recognition; 7 Length of residence in the village has positive effect on perception and sense of recognition; 8 Distance from the village has positive effect on perception and sense of recognition.展开更多
The spectrum of a finite group is the set of its element orders,and two groups are said to be isospectral if they have the same spectra.A finite group G is said to be recognizable by spectrum,if every finite group iso...The spectrum of a finite group is the set of its element orders,and two groups are said to be isospectral if they have the same spectra.A finite group G is said to be recognizable by spectrum,if every finite group isospectral with G is isomorphic to G.We prove that if S is one of the sporadic simple groups M^(c)L,M_(12),M_(22),He,Suz and O'N,then Aut(S)is recognizable by spectrum.This finishes the proof of the recognizability by spectrum of the automorphism groups of all sporadic simple groups,except J_(2).展开更多
In this paper the notion of rational fuzzy language is introduced, and a theorem is obtained: a fuzzy subset of Σ* is recognizable if and only if it′s rational. The result connects the rational fuzzy language with f...In this paper the notion of rational fuzzy language is introduced, and a theorem is obtained: a fuzzy subset of Σ* is recognizable if and only if it′s rational. The result connects the rational fuzzy language with fuzzy finite-state automaton language.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No. 11171364)
文摘Let G be a group and r（G） the set of element orders of G. Let k E 7（G） and mk be the number of elements of order k in G. Let （G） = {mk]k C Try（G）}. In this paper, we prove that L2（16） is recognizable by T^（L2（16））. In other words, we prove that if G is a group such that ^-^（G） =（L2（16）） = {1,255,272,544, 1088, 1920}, then G is isomorphic to L2（16）.
基金Sponsored by The National Natural Science Fund(41401148)Hunan Provincial Natural Science Innovation Group Fund(12JJ7003)Humanities and Social Science Fund of the Ministry of Education(11YJCZH210)
文摘Taking Yutou Dong Minority Village in Tongdao County for example, this study carried out questionnaire survey and interview survey from the perspective of environment element perceptibility and culture psychology recognizability, on the basis of identifying 9 landscape genes, namely drum tower, wind-rain bridge, the village gate, Sa altar, overall layout, totem signs, and environmental factors. The survey results showed that 1 Sa altar has the highest perceptibility, and drum tower has the lowest perceptibility; 2 Sa altar and drum tower have the highest recognizability, overall layout, totem signs and environment have the lowest; 3 Location has the highest perceptibility and size has the poorest; 4 Sentiment has the highest perceptibility, function the lowest; 5 Men have higher perception and sense of recognition than women; 6 Education background has greater impact on perception, but no obvious impact on sense of recognition; 7 Length of residence in the village has positive effect on perception and sense of recognition; 8 Distance from the village has positive effect on perception and sense of recognition.
基金This work is supported by Russian Science Foundation(Project No.14-21-00065).
文摘The spectrum of a finite group is the set of its element orders,and two groups are said to be isospectral if they have the same spectra.A finite group G is said to be recognizable by spectrum,if every finite group isospectral with G is isomorphic to G.We prove that if S is one of the sporadic simple groups M^(c)L,M_(12),M_(22),He,Suz and O'N,then Aut(S)is recognizable by spectrum.This finishes the proof of the recognizability by spectrum of the automorphism groups of all sporadic simple groups,except J_(2).
基金This subject is supported by National Natural Sciences Foundation of China ( 6980 30 0 7) and theYouth Science and Technology Foundation of UESTC( YF0 2 0 1 0 1 )
文摘In this paper the notion of rational fuzzy language is introduced, and a theorem is obtained: a fuzzy subset of Σ* is recognizable if and only if it′s rational. The result connects the rational fuzzy language with fuzzy finite-state automaton language.
