In this paper,we study normal families of meromorphic functions.By using the idea in[16],we obtain some normality criteria for families of meromorphic functions concerning the wandering multiple functions,which extend...In this paper,we study normal families of meromorphic functions.By using the idea in[16],we obtain some normality criteria for families of meromorphic functions concerning the wandering multiple functions,which extend and improve the well-known Montel's criterion,Bloch-Valiron's theorem,and the related results due to Carathéodory,and Grahl-Nevo et al..展开更多
本文以“I Wandered Lonely as a Cloud”的辜正坤译本与杨德豫译本为研究对象,从意境、语音、语义及句法等维度展开对比分析。研究发现:在意境层面,辜译本用词典雅,杨译本忠实于原意;在语音层面,杨译本比辜译本更遵循原诗韵律;在语义...本文以“I Wandered Lonely as a Cloud”的辜正坤译本与杨德豫译本为研究对象,从意境、语音、语义及句法等维度展开对比分析。研究发现:在意境层面,辜译本用词典雅,杨译本忠实于原意;在语音层面,杨译本比辜译本更遵循原诗韵律;在语义与修辞层面,辜译本善用拟人、重复等手法增强诗意,且多使用动词,杨译本则侧重直译与形式对等,语言较为平实。二者的译本为诗歌翻译实践提供了多维启示。展开更多
In this paper,we obtain a normality criterion for families of meromorphic functions concerning‘wandering’shared functions,which generalizes and improves Montel’s criterion and the related results due to Schwick,Xu-...In this paper,we obtain a normality criterion for families of meromorphic functions concerning‘wandering’shared functions,which generalizes and improves Montel’s criterion and the related results due to Schwick,Xu-Fang,Xu-Qiu,and Grahl-Nevo.Also,a normality relationship between two families is given.展开更多
This experimental study investigated how text difficulty and different working memory capacity(WMC)affected Chinese EFL learners’reading comprehension and their tendency to engage in task-unrelated thoughts,that is,m...This experimental study investigated how text difficulty and different working memory capacity(WMC)affected Chinese EFL learners’reading comprehension and their tendency to engage in task-unrelated thoughts,that is,mind wandering(MW),in the course of reading.Sixty first-year university non-English majors participated in the study.A two-factor mixed experimental design of 2(text difficulty:difficult and simple)×2(WMC:high/large and low/small)was employed.Results revealed that 1)the main and interaction effects of WMC and text difficulty on voluntary MW were significant,whereas those on involuntary MW were not;2)while reading the easy texts,the involuntary MW of high-WMC individuals was less frequent than that of low-WMC ones,whereas while reading the difficult ones,the direct relationship between WMC and involuntary MW was not found;and that 3)high-WMC individuals had a lower overall rate of MW and better reading performance than low-WMC individuals did,but with increasing text difficulty,their rates of overall MW and voluntary MW were getting higher and higher,and the reading performance was getting lower and lower.These results lend support to WM theory and have pedagogical implications for the instruction of L2 reading.展开更多
The reference-frame-independent(RFI)quantum key distribution(QKD)is suitable for satellite-based links by removing the active alignment on the reference frames.However,how the beam wandering influences the performance...The reference-frame-independent(RFI)quantum key distribution(QKD)is suitable for satellite-based links by removing the active alignment on the reference frames.However,how the beam wandering influences the performance of RFI-QKD remains a pending issue in satellite-to-ground links.In this paper,based on the mathematical model for characterizing beam wandering,we present the security analysis for satellite-to-ground RFI-QKD and analytically derive formulas for calculating the secret key rate with beam wandering.Our simulation results show that the performance of RFI-QKD is better than the Bennett–Brassard 1984(BB84)QKD with beam wandering in asymptotic case.Furthermore,the degree of influences of beam wandering is specifically presented for satellite-to-ground RFI-QKD when statistical fluctuations are taken into account.Our work can provide theoretical support for the realization of RFI-QKD using satellite-to-ground links and have implications for the construction of large-scale satellite-based quantum networks.展开更多
A frequency-domain equalizer with a mixed-signal adaptive control loop and a novel baseline wander （BLW） canceller are proposed. The equalizer is independent of channel-modeling accuracy,and its control loop is intr...A frequency-domain equalizer with a mixed-signal adaptive control loop and a novel baseline wander （BLW） canceller are proposed. The equalizer is independent of channel-modeling accuracy,and its control loop is intrinsically stable. An AGC function is incorporated into the equalizer without an extra AGC circuit. The proposed BLW canceller uses a peak detector to monitor the BLW and full feedback method to accomplish BLW canceling. High canceling accuracy and robust performance are achieved. The circuits are tested in 0.25μm CMOS technology. Better performance and smaller silicon area are achieved compared with results in the literature.展开更多
In this paper, we mainly investigate entire solutions of complex differential equations with coefficients involving exponential functions, and obtain the dynamical properties of the solutions, their derivatives and pr...In this paper, we mainly investigate entire solutions of complex differential equations with coefficients involving exponential functions, and obtain the dynamical properties of the solutions, their derivatives and primitives. With some conditions on coefficients, for the solutions, their derivatives and their primitives, we consider the common limiting directions of Julia set and the existence of Baker wandering domain.展开更多
Mid-Cretaceous strata within the Tintina Trench, 3 km west of the community of Ross River, contain evidence of deposition in two distinct, alternating, fluvial settings. Coal-bearing, mud-dominated strata are commonly...Mid-Cretaceous strata within the Tintina Trench, 3 km west of the community of Ross River, contain evidence of deposition in two distinct, alternating, fluvial settings. Coal-bearing, mud-dominated strata are commonly associated with high-constructive sandy channel systems, with extensive overbank, levee and splay deposits. Channels are between 3 and 30 m wide and 0.4-7 m thick. They show repetitive development of side and in-channel bar-forms, as well as up-channel widening of the rivers by selective erosion of associated overbank and levee deposits. Levees extended for several hundred metres away from the channels. In this setting low-angle inclined stratification and epsilon cross stratification may reflect lateral migration of crevasse channels or small streams. The paucity of exposure prevents recognition of the channels as products of multiple channel anastomosed systems or single channel high-constructive systems. Gravel-dominated strata, inter-bedded with, and overlying coal-bearing units, are interpreted as deposits of wandering gravel-bed rivers, with sinuosity approaching 1.4. In most exposures they appear to be dominated by massive and thin planar-bedded granule to small pebble conglomerates, which would traditionally be interpreted as sheet-flood or longitudinal bar deposits of a high-gradient braided stream or alluvial fan. Architectural analysis of exposures in an open-pit shows that the predominance of flat bedding is an artefact of the geometry of the roadside exposures. In the pit the conglomerates are dominated by large scale cross stratification on a scale of 1-5.5 m. These appear to have developed as downstream and lateral accretion elements on side-bars and on in-channel bars in water depths of 2-12 m. Stacking of strata on domed 3rd order surfaces suggests development of longitudinal in-channel bar complexes similar to those observed in parts of the modern Rhone River system. Mudstone preserved in some of the channels reflects intervals of channel abandonment or avulsion. Minimum channel width is from 70 to 450 m.展开更多
The apparent polar wander (APW) path from the Tarim block consists of palaeo-magnetic poles ofDevonian (λ=16°N, ψ= 165° E. A_(95)=4°). Late Carboniferous (λ=41° N, ψ=160° E, A_(95)=4°...The apparent polar wander (APW) path from the Tarim block consists of palaeo-magnetic poles ofDevonian (λ=16°N, ψ= 165° E. A_(95)=4°). Late Carboniferous (λ=41° N, ψ=160° E, A_(95)=4°).Permian (λ=61°N, ψ=177° E. A_(95)=9°). Early Triassic (λ=69° N. ψ=183° E. A_(95)=11°) andJurassic/Cretaceous (λ=65° N, ψ=214° E. A_(95)=6°) times. On the basis of this APW path, it is con-cluded that the Tarim block was subducted beneath the Kazakstan plate between Devonian and Permiantimes. The Tarim, North China and South China blocks were sutured between the Early Triassic and EarlyCretaceous. Tarim had moved eastward some 2000 km relative to Siberia since the Cretaceous.展开更多
BACKGROUND Axenfeld-Rieger syndrome(ARS)is an autosomal dominant genetic disease characterized by ocular developmental disorders and its association with torsion of wandering spleen(WS)has not been reported to date to...BACKGROUND Axenfeld-Rieger syndrome(ARS)is an autosomal dominant genetic disease characterized by ocular developmental disorders and its association with torsion of wandering spleen(WS)has not been reported to date to the best of our knowledge.This study aimed to describe a rare case of ARS observed at our emergency department.CASE SUMMARY A 25-year-old female presented with a constant lower abdominal pain of increasing severity.Diagnostic computed tomography with intravenous contrast material showed a non-homogenously enhanced splenic parenchyma with a twisted vascular pedicle.Further,an emergent laparoscopic exploration was performed,and an ischemic spleen without its normal ligamentous attachments was noted.Notably,the spleen did not regain its normal vascularity after detorsion;thus,we performed the laparoscopic total splenectomy.The postoperative course was uneventful,and the patient was discharged on the 5th postoperative day.This case demonstrates a rare association of WS and ARS.CONCLUSION Early diagnosis of WS in the emergency department is important to prevent pedicle torsion or splenic necrosis and to avoid splenectomy.展开更多
The non-wandering set Ω(f) for a graph map f is investigated. It is showed that Ω(f) is contained in the closure of the set ER(f) of eventually recurrent points of f and ω-limit set ω(Ω(f)) of Ω(f) is containe...The non-wandering set Ω(f) for a graph map f is investigated. It is showed that Ω(f) is contained in the closure of the set ER(f) of eventually recurrent points of f and ω-limit set ω(Ω(f)) of Ω(f) is contained in the closure of the set R(f) of recurrent points of f.展开更多
As an important romantic poet,William Wordsworth produced large numbers of poems known for refined rhymes,images and thoughts,which are exemplified by Song for the Wandering Jew.This paper analyzes this poem by a styl...As an important romantic poet,William Wordsworth produced large numbers of poems known for refined rhymes,images and thoughts,which are exemplified by Song for the Wandering Jew.This paper analyzes this poem by a stylistic approach which shows how sounds,images and syntax artistically made contribution to the poetic quality.展开更多
Shen Congwen and Thomas Hardy are both known for their regional novels,Hardy for his "Wessex" novels,and Shen Congwen for his "World of Xiangxi" .Both writers display a sense of transcendence and w...Shen Congwen and Thomas Hardy are both known for their regional novels,Hardy for his "Wessex" novels,and Shen Congwen for his "World of Xiangxi" .Both writers display a sense of transcendence and wandering in their female characters.Both Xiao Xiao in Shen Congwen' s Xiao Xiao and Eustacia in Hardy' s The Return of the Native transcend the traditions and customs of their times,and experience a consequent wandering.But the ways of the two writers in presenting their heroines is quite different.While Xiao Xiao was mentally active but did nothing except follow the traditional system,Eustacia' s thought was followed by her own words and actions.展开更多
Space syntax has proven there appears to be a fundamental process that informs human and social usage of an environ- ment, and the effects of spatial configuration on movement patterns are consistent with a model of i...Space syntax has proven there appears to be a fundamental process that informs human and social usage of an environ- ment, and the effects of spatial configuration on movement patterns are consistent with a model of individual decision behavior. In- troducing space syntax to crowd simulation will enable space structure guide the random movement of the crowd with no specific targets. This paper proposes a simulation method of the wandering crowd, which calculates the crowd distribution corresponding to the space through space syntax and uses a hybrid path planning algorithm to dynamically navigate the crowd to conform to the dis- tribution. Experiments show the presented method can obtain reasonable and vision-realistic simulation results.展开更多
元功能思想是系统功能语言学的核心,对语言学研究有重要的影响。“I Wandered Lonely as a Cloud”是华慈华斯自然诗篇的代表作,从元功能框架下的概念功能、人际功能和语篇功能三方面对其进行考察,揭示元功能在诗歌结构构建、运用语言...元功能思想是系统功能语言学的核心,对语言学研究有重要的影响。“I Wandered Lonely as a Cloud”是华慈华斯自然诗篇的代表作,从元功能框架下的概念功能、人际功能和语篇功能三方面对其进行考察,揭示元功能在诗歌结构构建、运用语言形式体现诗人自然生态观方面的作用,也证明了元功能分析诗歌作品的可操作性。展开更多
In this paper, we show that for log(2/3)/2log2≤ β ≤1/2, suppose S is an invariant subspace of the Hardy-Sobolev spaces H_β~2(D^n) for the n-tuple of multiplication operators(M_(z_1),...,M_(z_n)). If(M_(z_1)|S,...,...In this paper, we show that for log(2/3)/2log2≤ β ≤1/2, suppose S is an invariant subspace of the Hardy-Sobolev spaces H_β~2(D^n) for the n-tuple of multiplication operators(M_(z_1),...,M_(z_n)). If(M_(z_1)|S,..., M_(z_n)|S) is doubly commuting, then for any non-empty subset α = {α_1,..., α_k} of {1,..., n}, W_α~S is a generating wandering subspace for M_α|_S =(M_(z_(α_1))|_S,..., M_(z_(α_k))|_S), that is, [W_α~S]_(M_(α |S))= S, where W_α~S=■(S ■ z_(α_i)S).展开更多
The default mode network(DMN) is associated with the occurrence of mind-wandering or task-unrelated thought. In contrast, the frontal-parietal network(FPN) and visual network(VS) are involved in tasks with external st...The default mode network(DMN) is associated with the occurrence of mind-wandering or task-unrelated thought. In contrast, the frontal-parietal network(FPN) and visual network(VS) are involved in tasks with external stimuli. However, it is not clear how these functional network interactions support these two different processes– mind-wandering and on-task – especially with regard to individual variation in the mind-wandering experience. In this study, we investigated the functional connectivity and modular structure among the DMN, FPN, and VS. Our results showed that, compared to the on-task period, mindwandering was associated with increased DMN activity and increased DMN-VS connectivity. Moreover, mindwandering was accompanied by a large number of transitional nodes, which expressed a diversity of brain regions. Intriguingly, the functional connectivity of the FPN and VS was strongly correlated with individual behavioral performance. Our findings highlight the individual variation of mind-wandering, which implies the importance of other complementary large-scale brain networks.展开更多
文摘In this paper,we study normal families of meromorphic functions.By using the idea in[16],we obtain some normality criteria for families of meromorphic functions concerning the wandering multiple functions,which extend and improve the well-known Montel's criterion,Bloch-Valiron's theorem,and the related results due to Carathéodory,and Grahl-Nevo et al..
文摘本文以“I Wandered Lonely as a Cloud”的辜正坤译本与杨德豫译本为研究对象,从意境、语音、语义及句法等维度展开对比分析。研究发现:在意境层面,辜译本用词典雅,杨译本忠实于原意;在语音层面,杨译本比辜译本更遵循原诗韵律;在语义与修辞层面,辜译本善用拟人、重复等手法增强诗意,且多使用动词,杨译本则侧重直译与形式对等,语言较为平实。二者的译本为诗歌翻译实践提供了多维启示。
基金Supported by the National Natural Science Foundation of China(Grant No.11471163)。
文摘In this paper,we obtain a normality criterion for families of meromorphic functions concerning‘wandering’shared functions,which generalizes and improves Montel’s criterion and the related results due to Schwick,Xu-Fang,Xu-Qiu,and Grahl-Nevo.Also,a normality relationship between two families is given.
文摘This experimental study investigated how text difficulty and different working memory capacity(WMC)affected Chinese EFL learners’reading comprehension and their tendency to engage in task-unrelated thoughts,that is,mind wandering(MW),in the course of reading.Sixty first-year university non-English majors participated in the study.A two-factor mixed experimental design of 2(text difficulty:difficult and simple)×2(WMC:high/large and low/small)was employed.Results revealed that 1)the main and interaction effects of WMC and text difficulty on voluntary MW were significant,whereas those on involuntary MW were not;2)while reading the easy texts,the involuntary MW of high-WMC individuals was less frequent than that of low-WMC ones,whereas while reading the difficult ones,the direct relationship between WMC and involuntary MW was not found;and that 3)high-WMC individuals had a lower overall rate of MW and better reading performance than low-WMC individuals did,but with increasing text difficulty,their rates of overall MW and voluntary MW were getting higher and higher,and the reading performance was getting lower and lower.These results lend support to WM theory and have pedagogical implications for the instruction of L2 reading.
基金Project supported by the National Natural Science Foundation of China (Grant Nos.61505261,62101597,61605248,and 61675235)the National Key Research and Development Program of China (Grant No.2020YFA0309702)+2 种基金the China Postdoctoral Science Foundation (Grant No.2021M691536)the Natural Science Foundation of Henan Province,China (Grant Nos.202300410534 and 202300410532)the Fund of the Anhui Initiative in Quantum Information Technologies。
文摘The reference-frame-independent(RFI)quantum key distribution(QKD)is suitable for satellite-based links by removing the active alignment on the reference frames.However,how the beam wandering influences the performance of RFI-QKD remains a pending issue in satellite-to-ground links.In this paper,based on the mathematical model for characterizing beam wandering,we present the security analysis for satellite-to-ground RFI-QKD and analytically derive formulas for calculating the secret key rate with beam wandering.Our simulation results show that the performance of RFI-QKD is better than the Bennett–Brassard 1984(BB84)QKD with beam wandering in asymptotic case.Furthermore,the degree of influences of beam wandering is specifically presented for satellite-to-ground RFI-QKD when statistical fluctuations are taken into account.Our work can provide theoretical support for the realization of RFI-QKD using satellite-to-ground links and have implications for the construction of large-scale satellite-based quantum networks.
文摘A frequency-domain equalizer with a mixed-signal adaptive control loop and a novel baseline wander （BLW） canceller are proposed. The equalizer is independent of channel-modeling accuracy,and its control loop is intrinsically stable. An AGC function is incorporated into the equalizer without an extra AGC circuit. The proposed BLW canceller uses a peak detector to monitor the BLW and full feedback method to accomplish BLW canceling. High canceling accuracy and robust performance are achieved. The circuits are tested in 0.25μm CMOS technology. Better performance and smaller silicon area are achieved compared with results in the literature.
基金supported by Shanghai Center for Mathematical Science China Scholarship Council(201206105015)the National Science Foundation of China(11171119,11001057,11571049)the Natural Science Foundation of Guangdong Province in China(2014A030313422)
文摘In this paper, we mainly investigate entire solutions of complex differential equations with coefficients involving exponential functions, and obtain the dynamical properties of the solutions, their derivatives and primitives. With some conditions on coefficients, for the solutions, their derivatives and their primitives, we consider the common limiting directions of Julia set and the existence of Baker wandering domain.
基金NSERC,Lithoprobe(Snorcle) and the Government of the Yukon for providing support for this research
文摘Mid-Cretaceous strata within the Tintina Trench, 3 km west of the community of Ross River, contain evidence of deposition in two distinct, alternating, fluvial settings. Coal-bearing, mud-dominated strata are commonly associated with high-constructive sandy channel systems, with extensive overbank, levee and splay deposits. Channels are between 3 and 30 m wide and 0.4-7 m thick. They show repetitive development of side and in-channel bar-forms, as well as up-channel widening of the rivers by selective erosion of associated overbank and levee deposits. Levees extended for several hundred metres away from the channels. In this setting low-angle inclined stratification and epsilon cross stratification may reflect lateral migration of crevasse channels or small streams. The paucity of exposure prevents recognition of the channels as products of multiple channel anastomosed systems or single channel high-constructive systems. Gravel-dominated strata, inter-bedded with, and overlying coal-bearing units, are interpreted as deposits of wandering gravel-bed rivers, with sinuosity approaching 1.4. In most exposures they appear to be dominated by massive and thin planar-bedded granule to small pebble conglomerates, which would traditionally be interpreted as sheet-flood or longitudinal bar deposits of a high-gradient braided stream or alluvial fan. Architectural analysis of exposures in an open-pit shows that the predominance of flat bedding is an artefact of the geometry of the roadside exposures. In the pit the conglomerates are dominated by large scale cross stratification on a scale of 1-5.5 m. These appear to have developed as downstream and lateral accretion elements on side-bars and on in-channel bars in water depths of 2-12 m. Stacking of strata on domed 3rd order surfaces suggests development of longitudinal in-channel bar complexes similar to those observed in parts of the modern Rhone River system. Mudstone preserved in some of the channels reflects intervals of channel abandonment or avulsion. Minimum channel width is from 70 to 450 m.
文摘The apparent polar wander (APW) path from the Tarim block consists of palaeo-magnetic poles ofDevonian (λ=16°N, ψ= 165° E. A_(95)=4°). Late Carboniferous (λ=41° N, ψ=160° E, A_(95)=4°).Permian (λ=61°N, ψ=177° E. A_(95)=9°). Early Triassic (λ=69° N. ψ=183° E. A_(95)=11°) andJurassic/Cretaceous (λ=65° N, ψ=214° E. A_(95)=6°) times. On the basis of this APW path, it is con-cluded that the Tarim block was subducted beneath the Kazakstan plate between Devonian and Permiantimes. The Tarim, North China and South China blocks were sutured between the Early Triassic and EarlyCretaceous. Tarim had moved eastward some 2000 km relative to Siberia since the Cretaceous.
文摘BACKGROUND Axenfeld-Rieger syndrome(ARS)is an autosomal dominant genetic disease characterized by ocular developmental disorders and its association with torsion of wandering spleen(WS)has not been reported to date to the best of our knowledge.This study aimed to describe a rare case of ARS observed at our emergency department.CASE SUMMARY A 25-year-old female presented with a constant lower abdominal pain of increasing severity.Diagnostic computed tomography with intravenous contrast material showed a non-homogenously enhanced splenic parenchyma with a twisted vascular pedicle.Further,an emergent laparoscopic exploration was performed,and an ischemic spleen without its normal ligamentous attachments was noted.Notably,the spleen did not regain its normal vascularity after detorsion;thus,we performed the laparoscopic total splenectomy.The postoperative course was uneventful,and the patient was discharged on the 5th postoperative day.This case demonstrates a rare association of WS and ARS.CONCLUSION Early diagnosis of WS in the emergency department is important to prevent pedicle torsion or splenic necrosis and to avoid splenectomy.
基金The first author is supported by the Natural Science Foundation of the Committee of Education ofJiangsu Province ( 0 2 KJB1 1 0 0 0 8)
文摘The non-wandering set Ω(f) for a graph map f is investigated. It is showed that Ω(f) is contained in the closure of the set ER(f) of eventually recurrent points of f and ω-limit set ω(Ω(f)) of Ω(f) is contained in the closure of the set R(f) of recurrent points of f.
文摘As an important romantic poet,William Wordsworth produced large numbers of poems known for refined rhymes,images and thoughts,which are exemplified by Song for the Wandering Jew.This paper analyzes this poem by a stylistic approach which shows how sounds,images and syntax artistically made contribution to the poetic quality.
文摘Shen Congwen and Thomas Hardy are both known for their regional novels,Hardy for his "Wessex" novels,and Shen Congwen for his "World of Xiangxi" .Both writers display a sense of transcendence and wandering in their female characters.Both Xiao Xiao in Shen Congwen' s Xiao Xiao and Eustacia in Hardy' s The Return of the Native transcend the traditions and customs of their times,and experience a consequent wandering.But the ways of the two writers in presenting their heroines is quite different.While Xiao Xiao was mentally active but did nothing except follow the traditional system,Eustacia' s thought was followed by her own words and actions.
基金Anhui National Science Foundation(No.1208085MF107)the Fundamental Research Funds for the Central Universities(No.2012HGZY0017)
文摘Space syntax has proven there appears to be a fundamental process that informs human and social usage of an environ- ment, and the effects of spatial configuration on movement patterns are consistent with a model of individual decision behavior. In- troducing space syntax to crowd simulation will enable space structure guide the random movement of the crowd with no specific targets. This paper proposes a simulation method of the wandering crowd, which calculates the crowd distribution corresponding to the space through space syntax and uses a hybrid path planning algorithm to dynamically navigate the crowd to conform to the dis- tribution. Experiments show the presented method can obtain reasonable and vision-realistic simulation results.
文摘元功能思想是系统功能语言学的核心,对语言学研究有重要的影响。“I Wandered Lonely as a Cloud”是华慈华斯自然诗篇的代表作,从元功能框架下的概念功能、人际功能和语篇功能三方面对其进行考察,揭示元功能在诗歌结构构建、运用语言形式体现诗人自然生态观方面的作用,也证明了元功能分析诗歌作品的可操作性。
基金supported by the Natural Science Foundation of China(11271092,11471143)the key research project of Nanhu College of Jiaxing University(N41472001-18)
文摘In this paper, we show that for log(2/3)/2log2≤ β ≤1/2, suppose S is an invariant subspace of the Hardy-Sobolev spaces H_β~2(D^n) for the n-tuple of multiplication operators(M_(z_1),...,M_(z_n)). If(M_(z_1)|S,..., M_(z_n)|S) is doubly commuting, then for any non-empty subset α = {α_1,..., α_k} of {1,..., n}, W_α~S is a generating wandering subspace for M_α|_S =(M_(z_(α_1))|_S,..., M_(z_(α_k))|_S), that is, [W_α~S]_(M_(α |S))= S, where W_α~S=■(S ■ z_(α_i)S).
基金supported by grants from the National Natural Science Foundation of China (31571111)the Chongqing Research Program of Basic Research and Frontier Technology (cstc2017jcyjAX0110)the Fundamental Research Funds for the Central Universities (SWU1609109)
文摘The default mode network(DMN) is associated with the occurrence of mind-wandering or task-unrelated thought. In contrast, the frontal-parietal network(FPN) and visual network(VS) are involved in tasks with external stimuli. However, it is not clear how these functional network interactions support these two different processes– mind-wandering and on-task – especially with regard to individual variation in the mind-wandering experience. In this study, we investigated the functional connectivity and modular structure among the DMN, FPN, and VS. Our results showed that, compared to the on-task period, mindwandering was associated with increased DMN activity and increased DMN-VS connectivity. Moreover, mindwandering was accompanied by a large number of transitional nodes, which expressed a diversity of brain regions. Intriguingly, the functional connectivity of the FPN and VS was strongly correlated with individual behavioral performance. Our findings highlight the individual variation of mind-wandering, which implies the importance of other complementary large-scale brain networks.
