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心理健康教育课程对高职学生生命态度的干预研究

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林区教学 2024年第7期 86-90页

作者：程丽昕洛阳职业技术学院河南洛阳471000

从基本心理需要理论出发,立足生命教育理念,开展心理健康教育教学实践探索,为高职院校有效开展心理健康教育提供参考。以某高职院校114名学生为研究对象,采用生命态度量表、自杀态度量表考察实验组和对照组在干预前后生命态度是否存在... 详细信息

从基本心理需要理论出发,立足生命教育理念,开展心理健康教育教学实践探索,为高职院校有效开展心理健康教育提供参考。以某高职院校114名学生为研究对象,采用生命态度量表、自杀态度量表考察实验组和对照组在干预前后生命态度是否存在显著差异。结果显示:干预后实验组在生命态度及各维度、自杀态度的得分均高于对照组,在生命经验维度存在显著性差异;干预前后实验组在死亡态度维度和自杀态度的差异达到显著水平(P值均<0.05)。研究表明,融入生命教育理念的心理健康教育课程能够有效满足高职学生的基本心理需要,从而对其生命态度产生积极的影响。

关键词：心理健康教育课程生命态度基本心理需要满足生命教育理念

On order-preserving and order-reversing mappings defined on cones of convex functions

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Science China Mathematics 2021年第8期64卷 1817-1842页

作者： lixin cheng Sijie Luo School of Mathematical Sciences Xiamen UniversityXiamen 361005China Yau Mathematical Sciences Center Tsinghua UniversityBeijing 100084China

In this paper,we first show that for a Banach space X,there is a fully order-reversing mapping T from conv(X)(the cone of all the extended real-valued lower semicontinuous proper convex functions defined on X)onto itself if and only if X is reflexive and linearly isomorphic to its dual X^(*).Then we further prove the following generalized Artstein-Avidan-Milman representation theorem:For every fully order-reversing mapping T:conv(X)→conv(X),there exist a linear isomorphism U:X→X^(*),x_(0)^(*),φ_(0)∈X^(*),α>0 and r_0∈R so that(Tf)(x)=α(Ff)(Ux+x_(0)^(*))++r_(0),■x∈X where T:conv(X)→conv(X^(*))is the Fenchel ***,these resolve two open *** also show several representation theorems of fully order-preserving mappings defined on certain cones of convex *** example,for every fully order-preserving mapping S:semn(X)→semn(X),there is a linear isomorphism U:X→X so that(Sf)(x)=f(Ux),■f∈semn(X),x∈X where semn(X)is the cone of all the lower semicontinuous seminorms on X.

关键词： Fenchel transform order-preserving mapping order-reversing mapping convex function Banach space

Representation of measures of noncompactness and its applications related to an initial value problem in Banach spaces

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Science China Mathematics 2023年第4期66卷 745-776页

作者： Xiaoling Chen lixin cheng School of Science Jimei UniversityXiamen 361021China School of Mathematical Sciences Xiamen UniversityXiamen 361005China

This paper is devoted to studying the representation of measures of non-generalized compactness,in particular,measures of noncompactness,of non-weak compactness and of non-super weak compactness,defined on Banach spaces and its *** the aid of a three-time order-preserving embedding theorem,we show that for every Banach space X,there exist a Banach function space C(K)for some compact Hausdorff space K and an order-preserving affine mapping T from the super space B of all the nonempty bounded subsets of X endowed with the Hausdorff metric to the positive cone C(K)^(+) of C(K),such that for every convex measure,in particular,the regular measure,the homogeneous measure and the sublinear measure of non-generalized compactnessμon X,there is a convex function F on the cone V=T(B)which is Lipschitzian on each bounded set of V such that F(T(B))=μ(B),■B∈*** its applications,we show a class of basic integral inequalities related to an initial value problem in Banach spaces,and prove a solvability result of the initial value problem,which is an extension of some classical results due to Bana′s and Goebel(1980),Goebel and Rzymowski(1970)and Rzymowski(1971).

关键词： representation of measures of noncompactness convex analysis Lebesgue-Bochner measurability integral inequality initial value problem in Banach spaces

DIFFERENTIABILITY OF CONVEX FUNCTIONS ON SUBLINEAR TOPOLOGICAL SPACES AND VARIATIONAL PRINCIPLES IN LOCALLY CONVEX SPACES

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Chinese Annals of Mathematics,Series B 2005年第4期26卷 611-632页

作者： cheng lixin TENG YANMEI Department of Mathematic Xiamen University Xiarnen 361005 Fujian China. Department of Mathematic Beihang University Beijing 100083 China.

This paper presents a type of variational tinuous functions on certain subsets in duals principles for real valued ω^＊ lower semicon- of locally convex spaces, and resolve a problem concerning differentiability of convex functions on general Banach spaces. They are done through discussing differentiability of convex functions on nonlinear topological spaces and convexification of nonconvex functions on topological linear spaces.

关键词： Convex function βdifferentiability Variational principle Perturbed optimization Banach spaces Locally convex spaces

Quantification of non-coding RNA target localization diversity and its application in cancers

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Journal of Molecular Cell Biology 2018年第2期10卷 130-138页

作者： lixin cheng Kwong-Sak Leung Department of Computer Science and Engineering The Chinese University of Hong Kong Shatin New Territories Hong Kong SAR China

SubceUular localization is pivotal for RNAs and proteins to implement biological functions. The localization diversity of protein interactions has been studied as a crucial feature of proteins, considering that the protein-protein interactions take place in vari- ous subceltutar locations. Nevertheless, the localization diversity of non-coding RNA （ncRNA） target proteins has not been sys- tematically studied, especially its characteristics in cancers. In this study, we provide a new algorithm, non-coding RNA target localization coefficient （ncTALENT）, to quantify the target localization diversity of ncRNAs based on the ncRNA-protein interaction and protein subcellular localization data. ncTALENT can be used to calculate the target localization coefficient of ncRNAs and measure how diversely their targets are distributed among the subcellular locations in various scenarios. We focus our study on long non-coding RNAs （IncRNAs）, and our observations reveal that the target localization diversity is a primary characteristic of IncRNAs in different biotypes. Moreover, we found that IncRNAs in multiple cancers, differentially expressed cancer IncRNAs, and IncRNAs with multiple cancer target proteins are prone to have high target localization diversity. Furthermore, the analysis of gastric cancer helps us to obtain a better understanding that the target localization diversity of IncRNAs is an important feature closely related to clinical prognosis. Overall, we systematically studied the target localization diversity of the IncRNAs and uncovered its association with cancer.

关键词： long non-coding RNAs RNA-protein interactions target localization diversity subcellular localization gastric cancer

Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure

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Science China Mathematics 2019年第10期62卷 147-156页

作者： Ehmet Ablet lixin cheng Qingjin cheng Wen Zhang School of Mathematical Sciences Xiamen University

In this paper, we show that every infinite dimensional Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure. Therefore, it resolves a long-standing question.

关键词： measure of non-compactness inequivalence Banach space

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Ball-covering property of Banach spaces that is not preserved under linear isomorphisms

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Science China Mathematics 2008年第1期51卷 143-147页

作者： cheng lixin cheng QingJin LIU XiaoYan Department of Mathematics Xiamen UniversityXiamen 361005China

By a ball-covering B of a Banach space X, we mean that it is a collection of open balls off the origin whose union contains the sphere of the unit ball of X. The space X is said to have a ball-covering property, if it admits a ball-covering consisting of countably many balls. This paper, by constructing the equivalent norms on l~∞, shows that ball-covering property is not invariant under isomorphic mappings, though it is preserved under such mappings if X is a Gateaux differentiability space; presents that this property of X is not heritable by its closed subspaces; and the property is also not preserved under quotient mappings.

关键词： ball-covering isomorphic invariant Gateaux differentiability space Banach space 46B20 46G05

More on stability of almost surjective ε-isometries of Banach spaces

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Science China Mathematics 2017年第2期60卷 277-284页

作者： cheng lixin SHEN QinRui ZHANG Wen ZHOU Yu School of Mathematical Sciences Xiamen University School of Fundamental Studies Shanghai University of Engineering Science

Let X and Y be two Banach spaces,and f:X→Y be a standard ε-isometry for some ε >= *** this paper,by using a recent theorem established by cheng et al.(2013–2015),we show a sufficient condition guaranteeing the following sharp stability inequality of f:There is a surjective linear operator T:Y→X of norm one so that ||T f(x)-x||<= 2ε,for all x∈*** its application,we prove the following statements are equivalent for a standard ε-isometry f:X→Y:(i)lim inf_(t→∞) dist(ty,f(X))/|t|<1/2,for all y∈S_Y;(ii)τ(f)≡sup_(y∈S_Y) lim inf_(t→∞) dist(ty,f(X))/|t|=0;(iii)there is a surjective linear isometry U:X→Y so that || f(x)-Ux||<= 2ε,for all x∈*** gives an affirmative answer to a question proposed by Vestfrid(2004,2015).

关键词： ε-isometry stability sharp estimate Banach space

Measure theory of statistical convergence

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Science China Mathematics 2008年第12期51卷 2285-2303页

作者： cheng lixin LIN GuoChen LAN YongYi LIU Hui Department of Mathematics Xiamen UniversityXiamen 361005China

The question of establishing measure theory for statistical convergence has been moving closer to center stage, since a kind of reasonable theory is not only fundamental for unifying various kinds of statistical convergence, but also a bridge linking the studies of statistical convergence across measure theory, integration theory, probability and statistics. For this reason, this paper, in terms of subdifferential, first shows a representation theorem for all finitely additive probability measures defined on the σ-algebra of all subsets of N, and proves that every such measure can be uniquely decomposed into a convex combination of a countably additive probability measure and a statistical measure (i.e. a finitely additive probability measure μ with μ(k) = 0 for all singletons {k}). This paper also shows that classical statistical measures have many nice properties, such as: The set of all such measures endowed with the topology of point-wise convergence on forms a compact convex Hausdorff space; every classical statistical measure is of continuity type (hence, atomless), and every specific class of statistical measures fits a complementation minimax rule for every subset in N. Finally, this paper shows that every kind of statistical convergence can be unified in convergence of statistical measures.

关键词： statistical convergence statistical measure subdifferential Banach space 60B05 46G99 40A99