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THE CRITERION ALGORITHM OF RELATION OF IMPLICATION BETWEEN PERIODIC ORBITS(Ⅰ)
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作者 张景中 杨路 章雷 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第11期1029-1037,共9页
In recent years, there is a wide interest in Sarkovskii's theorem ami the related study. According to Sarkovskii's theoren if the continuous self-mapf of the closed interval has a 3-pcriodic orbit, then fmust ... In recent years, there is a wide interest in Sarkovskii's theorem ami the related study. According to Sarkovskii's theoren if the continuous self-mapf of the closed interval has a 3-pcriodic orbit, then fmust has an n-pcriodic orbit for any positive integer n. But f can not has all n-periodic orbits for some n.For example, letEvidently, f has only one kind of 3-periodic orbit in the two kinds of 3-periodic orbits. This explains that it isn't far enough to uncover the relation between periodic orbits by information which Sarkovskii's theorem has offered. In this paper, we raise the concept of type of periodic orbits, and give a feasible algorithm which decides the relation of implication between two periodic orbits. 展开更多
关键词 THE CRITERION ALGORITHM OF RELATION OF implication BETWEEN PERIODIC ORBITS
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IMPLICATIONAL RELATION AND PERCEPTUAL DISTINCTION:A CASE STUDY ON PLACE CONTRASTS OF FRICATIVES VS. AFFRICATES
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作者 LI Mingxing 《中国语音学报》 2020年第1期105-113,共9页
A typological survey across Chinese dialects reveals that,in the[i]context,the place contrasts of dental vs.palatal affricates(i.e.,[tsi-t■i]and[ts^(h)i-t■^(h)i])imply the place contrast of fricatives(i.e.,[si-■i])... A typological survey across Chinese dialects reveals that,in the[i]context,the place contrasts of dental vs.palatal affricates(i.e.,[tsi-t■i]and[ts^(h)i-t■^(h)i])imply the place contrast of fricatives(i.e.,[si-■i]).Assuming a connection between the implicational relation of phonological contrasts and perceptual distinction,this study examines the relative perceptual distinction of the sound pairs[tsi-t■i][ts^(h)i-t■^(h)i]and[si-■i]through a speeded-AX discrimination experiment.The results showed that the discrimination accuracy of the[tsi-t■i]and[ts^(h)i-t■^(h)i]pairs is significantly lower than that of the[si-■i]pair,indicating that the former two pairs are perceptually less distinct than the latter pair.The results lend support to the contention that a sound pair in the unmarked category tends to be perceptually more distinct than its counterpart in a marked category. 展开更多
关键词 implication relation Perceptual distinction Manners of articulation Chinese dialects
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