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7Previous research has consistently demonstrated the importance of parents' expectations and adolescents' expectations on adolescents' academic achievement. Less is known, however, about the reciprocal relationships among these constructs. To address this issue, we analyzed two waves of data from the National Education Longitudinal Study of 1988 using longitudinal cross-lagged path models. The sample consisted of 14,376 students. Results indicated that there was a reciprocal relationship between …Read more
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8Ru jia wen yi mei xue: cong yuan shi ru jia dao xian dai xin ru jiaNan kai da xue chu ban she. 2004.国家社会科学基金项目获“高等学校优秀青年教师教学科研奖励计划资助”(TRAPOYT)
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36Towards a Problem of E. van Douwen and A. MillerMathematical Logic Quarterly 45 (2): 183-188. 1999.We discuss a problem asked by E. van Douwen and A. Miller [5] in various forcing models
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On the Voice and Spirit of the Poetry of Prime Tang DynastyNankai University (Philosophy and Social Sciences) 6 47-52. 2005."The Voice of the Tang Dynasty," the strong voice of the times, the pride of Tang, Gao Bing in "Poetry is the sound" touted in the "Rhythm pure finish" is a refined aesthetic qualities of Tang poetry, established the Ming Dynasty. " Tang poetry must be "the aesthetic ideal. Ming Tang on the physical tone, trying to implement Sheng Tang wonderful rhyme poems for the rule-based method, resulting in obtaining the fur and missing the spirit of the abuse. If designed as Fengshen on the rise and poetr…Read more
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26Remarks on a class of almost disjoint familiesBulletin of the Section of Logic 30 (1): 1-13. 2001.
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35Maximal cofinitary groupsArchive for Mathematical Logic 39 (1): 41-52. 2000.We discuss the cardinalities of maximal cofinitary groups under the assumption of $\neg CH$ . We also discuss various open questions in this area
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54On a Class of M.A.D. FamiliesJournal of Symbolic Logic 64 (2): 737-746. 1999.We compare several closely related continuum invariants, i.e., $\mathfrak{a}$, $\mathfrak{a}_\mathfrak{e}$, $\mathfrak{a}_\mathfrak{p}$ in two forcing models. And we shall ask some open questions in this field.
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11Adjoining cofinitary permutationsArchive for Mathematical Logic 42 (2): 153-163. 2003.We construct several forcing models in each of which there exists a maximal cofinitary group, i.e., a maximal almost disjoint group, G≤Sym, such that G is also a maximal almost disjoint family in Sym. We also ask several open questions in this area in the fourth section of this paper.
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32Adjoining cofinitary permutationsJournal of Symbolic Logic 64 (4): 1803-1810. 1999.We show that it is consistent with ZFC + ¬CH that there is a maximal cofinitary group (or, maximal almost disjoint group) G ≤ Sym(ω) such that G is a proper subset of an almost disjoint family A $\subseteq$ Sym(ω) and |G| < |A|. We also ask several questions in this area
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5Adjoining Cofinitary PermutationsJournal of Symbolic Logic 64 (4): 1803-1810. 1999.We show that it is consistent with ZFC + $\neg$CH that there is a maximal cofinitary group G $\leq$ Sym such that G is a proper subset of an almost disjoint family A $\subseteq$ Sym and |G| < |A|. We also ask several questions in this area.
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209Adjoining Almost Disjoint PermutationsMathematical Logic Quarterly 48 (2): 189-193. 2002.We show that it is consistent with ZFC + ¬CH that there is a maxima a most disjoint permutation family A ⊆ Symsuch that A is a proper subset of an eventually different family E ⊆ ℕℕ and |A| < |E|. We also ask severa questions in this area
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70Cofinitary groups, almost disjoint and dominating familiesJournal of Symbolic Logic 66 (3): 1259-1276. 2001.In this paper we show that it is consistent with ZFC that the cardinality of every maximal cofinitary group of Sym(ω) is strictly greater than the cardinal numbers o and a
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2Cofinitary Groups, almost Disjoint and Dominating FamiliesJournal of Symbolic Logic 66 (3): 1259-1276. 2001.In this paper we show that it is consistent with ZFC that the cardinality of every maximal cofinitary group of Sym is strictly greater than the cardinal numbers $\mathfrak{o}$ and $\mathfrak{a}$.
Areas of Interest
| Ancient Greek and Roman Philosophy |
| European Philosophy |