In this note we show that the general theory of vector valued singular integral operators of Calderón-Zygmund defined on general metric measure spaces,can be applied to obtain Sobolev type regularity properties f...In this note we show that the general theory of vector valued singular integral operators of Calderón-Zygmund defined on general metric measure spaces,can be applied to obtain Sobolev type regularity properties for solutions of the dyadic fractional Laplacian.In doing so,we define partial derivatives in terms of Haar multipliers and dyadic homogeneous singular integral operators.展开更多
Building a new social network(SNS)with connections is especially important for firstyear students to deal with the transition to college.The goal of the current study was to investigate the link between congruence in ...Building a new social network(SNS)with connections is especially important for firstyear students to deal with the transition to college.The goal of the current study was to investigate the link between congruence in extroversion and the interaction frequency within cross-sex classmate dyads on SNS.Based on a cross-sectional study among 371 cross-sex first-year students dyads(M_(age)=18;SD=2.08)using polynomial regression with response surface analysis,we found that:(i)dyads with congruent levels of extroversion indeed interacted more frequently online than dyads with incongruent levels of extroversion;(ii)extroverted dyads interacted more frequently online than introverted dyads;and(iii)dyads with an increased level of incongruence on extroversion had a decreased frequency of online interaction.The sex-segregated social network might be magnified by the difference in extroversion within cross-sex dyads.The discussion focused on potential explanations from the reward of interaction model and the expectations for cross-sex friendship.展开更多
基金supported by the MINCYT in Argentina:CONICET and ANPCyT,UNL and UNComa。
文摘In this note we show that the general theory of vector valued singular integral operators of Calderón-Zygmund defined on general metric measure spaces,can be applied to obtain Sobolev type regularity properties for solutions of the dyadic fractional Laplacian.In doing so,we define partial derivatives in terms of Haar multipliers and dyadic homogeneous singular integral operators.
文摘Building a new social network(SNS)with connections is especially important for firstyear students to deal with the transition to college.The goal of the current study was to investigate the link between congruence in extroversion and the interaction frequency within cross-sex classmate dyads on SNS.Based on a cross-sectional study among 371 cross-sex first-year students dyads(M_(age)=18;SD=2.08)using polynomial regression with response surface analysis,we found that:(i)dyads with congruent levels of extroversion indeed interacted more frequently online than dyads with incongruent levels of extroversion;(ii)extroverted dyads interacted more frequently online than introverted dyads;and(iii)dyads with an increased level of incongruence on extroversion had a decreased frequency of online interaction.The sex-segregated social network might be magnified by the difference in extroversion within cross-sex dyads.The discussion focused on potential explanations from the reward of interaction model and the expectations for cross-sex friendship.
