In this paper, the authors propose a new model for active contours segmentation in a given image, based on Mumford-Shah functional (Mumford and Shah, 1989). The model is composed of a system of differential and integr...In this paper, the authors propose a new model for active contours segmentation in a given image, based on Mumford-Shah functional (Mumford and Shah, 1989). The model is composed of a system of differential and integral equations. By the experimental results we can keep the advantages of Chan and Vese's model (Chan and Vese, 2001 ) and avoid the regularization for Dirac function. More importantly, in theory we prove that the system has a unique viscosity solution.展开更多
This article traces the shift in media theory from humanism to antihumanism,or from extensionism to assemblage theory and machinism.The suggestion is that the anti-humanistic orientation illuminates the human conditio...This article traces the shift in media theory from humanism to antihumanism,or from extensionism to assemblage theory and machinism.The suggestion is that the anti-humanistic orientation illuminates the human condition even better,especially in the post-industrial and digital ages when Kafkaesque absurdity characterizes human life.The article also points,if only in passing,to the relevance of interology to media-theoretic inquiry.展开更多
Hodge integrals over moduli spaces of curves appear naturally during the localization procedure in computation of Gromov-Witten invariants. A remarkable formula of Marino-Vafa expresses a generation function of Hodge ...Hodge integrals over moduli spaces of curves appear naturally during the localization procedure in computation of Gromov-Witten invariants. A remarkable formula of Marino-Vafa expresses a generation function of Hodge integrals via some combinatorial and algebraic data seemingly unrelated to these apriori algebraic geometric objects. We prove in this paper by directly expanding the formula and estimating the involved terms carefully that except a specific type all the other Hodge integrals involving up to three Hodge classes can be calculated from this formula. This implies that amazingly rich information about moduli spaces and Gromov-Witten invariants is encoded in this complicated formula. We also give some low genus examples which agree with the previous results in literature. Proofs and calculations are elementary as long as one accepts Mumford relations on the reductions of products of Hodge classes.展开更多
Personal Learning Environment(PLE)enables a knowledge-based,learner-centered lifelong learning which could be successfully integrated with formal education when taking educators’supervision into consideration.But do ...Personal Learning Environment(PLE)enables a knowledge-based,learner-centered lifelong learning which could be successfully integrated with formal education when taking educators’supervision into consideration.But do learners’preferred Learning Styles matter in PLE?To investigate the relationship among learners’Learning Styles,learning outcomes and satisfaction towards the PLE platform,the study constructed and applied a supervised-PLE-IELTS platform.57 sophomores majored in Business in Wenzhou University took part in a 16-week project.Data were collected by Honey and Mumford’s Learning Styles questionnaire for the Learning Styles,post-test of IELTS reading,listening and vocabulary for the cognitive learning outcomes,and Distance Education Learning Environments Survey(DELES)for the satisfaction towards the PLE platform.The results showed:(1)Learning Styles have positive relationship with the cognitive learning achievements in PLE;(2)Learning Styles had no direct effect on satisfaction,and learners of all Learning Styles enjoyed PLE-IELTS platform;and(3)learners who spent more time on PLE platform achieved better cognitive learning outcomes.The paper shed light on the future construction of supervised-PLEs.展开更多
文摘In this paper, the authors propose a new model for active contours segmentation in a given image, based on Mumford-Shah functional (Mumford and Shah, 1989). The model is composed of a system of differential and integral equations. By the experimental results we can keep the advantages of Chan and Vese's model (Chan and Vese, 2001 ) and avoid the regularization for Dirac function. More importantly, in theory we prove that the system has a unique viscosity solution.
文摘This article traces the shift in media theory from humanism to antihumanism,or from extensionism to assemblage theory and machinism.The suggestion is that the anti-humanistic orientation illuminates the human condition even better,especially in the post-industrial and digital ages when Kafkaesque absurdity characterizes human life.The article also points,if only in passing,to the relevance of interology to media-theoretic inquiry.
基金Lazi was supported by the DFG-Emmy-Noether-Nachwuchsgruppe“Gute Strukturen in der h¨oherdimensionalen birationalen Geometrie”Peternell was supported by the DFG grant“Zur Positivit¨at in der komplexen Geometrie”
文摘We establish a conjecture of Mumford characterizing rationally connected complex projective manifolds in several cases.
文摘Hodge integrals over moduli spaces of curves appear naturally during the localization procedure in computation of Gromov-Witten invariants. A remarkable formula of Marino-Vafa expresses a generation function of Hodge integrals via some combinatorial and algebraic data seemingly unrelated to these apriori algebraic geometric objects. We prove in this paper by directly expanding the formula and estimating the involved terms carefully that except a specific type all the other Hodge integrals involving up to three Hodge classes can be calculated from this formula. This implies that amazingly rich information about moduli spaces and Gromov-Witten invariants is encoded in this complicated formula. We also give some low genus examples which agree with the previous results in literature. Proofs and calculations are elementary as long as one accepts Mumford relations on the reductions of products of Hodge classes.
基金This paper is part of the research results of Wenzhou basic scientific research project"Research on the mode and Countermeasures of coordinated development of Regional Higher Vocational Education and industrial agglomera-tion"(R2020023)。
文摘Personal Learning Environment(PLE)enables a knowledge-based,learner-centered lifelong learning which could be successfully integrated with formal education when taking educators’supervision into consideration.But do learners’preferred Learning Styles matter in PLE?To investigate the relationship among learners’Learning Styles,learning outcomes and satisfaction towards the PLE platform,the study constructed and applied a supervised-PLE-IELTS platform.57 sophomores majored in Business in Wenzhou University took part in a 16-week project.Data were collected by Honey and Mumford’s Learning Styles questionnaire for the Learning Styles,post-test of IELTS reading,listening and vocabulary for the cognitive learning outcomes,and Distance Education Learning Environments Survey(DELES)for the satisfaction towards the PLE platform.The results showed:(1)Learning Styles have positive relationship with the cognitive learning achievements in PLE;(2)Learning Styles had no direct effect on satisfaction,and learners of all Learning Styles enjoyed PLE-IELTS platform;and(3)learners who spent more time on PLE platform achieved better cognitive learning outcomes.The paper shed light on the future construction of supervised-PLEs.
