Position-dependent-mass systems are of great importance in many physical situations,such as the transport of charge carriers in semiconductors with non-uniform composition and in the theory of many-body interactions i...Position-dependent-mass systems are of great importance in many physical situations,such as the transport of charge carriers in semiconductors with non-uniform composition and in the theory of many-body interactions in condensed matter.Here we investigate,numerically and analytically,the phenomenon of fractional revivals in such systems,which is a generic characteristic manifested by the wave-packet evolution in bounded Hamiltonian systems.Identifying the fractional revivals using specific probes is an important task in the theory of quantum measurement and sensing.We numerically simulate the temporal evolution of probability density and information entropy density,which manifest self-similarly recurring interference patterns,namely,quantum carpets.Our numerical results show that the quantum carpets not only serve as an effective probe for recognizing the fractional revivals of various order but they efficiently describe the effect of spatially-varying mass on the structure of fractional revivals,which is manifested as a symmetry breaking in their designs.展开更多
In this paper, authors study the properties of multifractal Hausdorff and packing measures for a class of self-affine sets and use them to study the multifractal properties of general Sierpinski carpet E, and they get...In this paper, authors study the properties of multifractal Hausdorff and packing measures for a class of self-affine sets and use them to study the multifractal properties of general Sierpinski carpet E, and they get that the multifractal Hausdorff and packing measure are mutual singular, when they are restricted on some subsets of E.展开更多
Volatile organic compounds(VOCs) emitted from three types of carpets used in aircrafts were compared by using headspace and dynamic chamber tests. The headspace samples contained many compounds that were not detected ...Volatile organic compounds(VOCs) emitted from three types of carpets used in aircrafts were compared by using headspace and dynamic chamber tests. The headspace samples contained many compounds that were not detected in the dynamic chamber test; in addition, the dominant VOCs found by these two methods were different. The findings indicate that for highly sorptive materials such as carpets, headspace analysis may give inaccurate indication of actual VOC emissions, and it is necessary to conduct dynamic chamber tests over a certain period of time in order to identify the true emission characteristics. From the dynamic chamber tests, 2-ethyl-1-hexanol was the main VOC emitted from all three carpets. The study also examined the emission characteristics of aircraft carpets. In all experiments, total VOC(TVOC) concentration peaked within a few hours after the start of the experiment and was followed by rapid decay. The emission parameters of TVOC emitted by all three carpets were calculated and the simulated data matched the measured data well.展开更多
EDITOR'S NOTE: Fifteen years ago, Zhaxi inherited the properties due to her accord-ing to the will of her uncle in Nepal. She brought them back home to Tibet, and estab-lished its first privately owned company-Pot...EDITOR'S NOTE: Fifteen years ago, Zhaxi inherited the properties due to her accord-ing to the will of her uncle in Nepal. She brought them back home to Tibet, and estab-lished its first privately owned company-Potala Carpet Co．Ltd. at Damba Village infront of Zhaibung Monastery.Now 58,she owns properties valued at 20 million Yuan.展开更多
In this paper, a lemma as a new method to calculate the Hausdorff measure of fractal is given. And then the exact values of Hausdorff measure of a class of Sierpinski sets which satisfy balance distribution and dimens...In this paper, a lemma as a new method to calculate the Hausdorff measure of fractal is given. And then the exact values of Hausdorff measure of a class of Sierpinski sets which satisfy balance distribution and dimension ≤ 1 are obtained.展开更多
In this paper,according to the cantilever beam of fetching carton mechanism in square packaging machine, considering the impact of motion of air cylinder on it,its dynamics model and finite element model are built by ...In this paper,according to the cantilever beam of fetching carton mechanism in square packaging machine, considering the impact of motion of air cylinder on it,its dynamics model and finite element model are built by using ANSYS. This paper not only acquires the deformation distribution,stress distribution and natural frequency of the cantilever beam in the static state; but also gets the dynamic response curve in the maximum deformation and the dynamic stress response curve in the near of the maximum stress during the motion of air cylinder. Result shows that no matter static state or dynamic state,deformation of the cantilever in the fetching carton mechanism is acceptable. The design of mechanism is reliable and its motion is also stable; no resonance can occur on the cantilever beam.展开更多
Tensile properties with different thermoforming conditions and deformation mechanism at thermoforming temperatures of automotive needlepunched carpets made up of three layers of different materials were reported.Inves...Tensile properties with different thermoforming conditions and deformation mechanism at thermoforming temperatures of automotive needlepunched carpets made up of three layers of different materials were reported.Investigations on the tensile properties were performed as a function of thermoforming temperature,extensile speed and fiber orientation based on an orthogonal experiment design.The experimental results show that the automotive carpets are rate-dependent anisotropic one and very sensitive to the forming temperature.The tensile properties are strongly depended on the forming temperature when compared with the extensile speed and the fiber orientation.Experiments only varying with the temperature were performed because of the dominative effect of the temperature.Different deformation performances were observed with different temperatures.Deformation mechanisms at the thermoforming temperatures were presented to explain the nonlinear trend of the ultimate elongation with the temperatures based on the combination of the experimental observations and the corresponding polymer theories.展开更多
In this paper, we address the problem of exact computation of the Hausdorff measure of a class of Sierpinski carpets E- the self-similar sets generating in a unit regular pentagon on the plane. Under some conditions, ...In this paper, we address the problem of exact computation of the Hausdorff measure of a class of Sierpinski carpets E- the self-similar sets generating in a unit regular pentagon on the plane. Under some conditions, we show the natural covering is the best one, and the Hausdorff measures of those sets are euqal to ｜E｜^S, where s = dimHE.展开更多
This work focuses on the development of carpets from sand, fabrics of cotton fiber and mosquito nets and rubber latex. Following a study on the choice of the best formulations, the quantity of rubber latex used for sh...This work focuses on the development of carpets from sand, fabrics of cotton fiber and mosquito nets and rubber latex. Following a study on the choice of the best formulations, the quantity of rubber latex used for shaping varies between 14% and 18% (latex/sand + latex ratio) for the carpet with the fabric of mosquito nets and between 16% and 18% for the one made with the fabric of cotton fiber. Thus, with a mixture of sand, fiber fabrics (cotton and mosquito nets) and rubber latex, carpets were developed. In addition, the wear test carried out on these samples indicates that it is possible to produce carpets with the new material made of rubber sand and latex: SABLATEX At room temperature. Following the characterization test, it resorts to only 16% latex with cotton fiber fabric, allowing to have carpets with good mechanical characteristics.展开更多
In this paper we study a class of subsets of the general Sierpinski carpets for which the allowed two digits in the expansions occur with proportional frequency. We calculate the Hausdorff and box dimensions of these ...In this paper we study a class of subsets of the general Sierpinski carpets for which the allowed two digits in the expansions occur with proportional frequency. We calculate the Hausdorff and box dimensions of these subsets and give necessary and sufficient conditions for the corresponding Hausdorff measure to be positive finite.展开更多
The term "quantum carpet" can be observed in many closed quantum systems, where the evolution of a wave function exhibits a carpet-like pattern. Quantum carpet mechanisms are also akin to the classical inter...The term "quantum carpet" can be observed in many closed quantum systems, where the evolution of a wave function exhibits a carpet-like pattern. Quantum carpet mechanisms are also akin to the classical interference patterns of light. Although the origins of quantum carpets have previously been studied by various researchers, many interesting details are still worth exploring. In this study, we present a unified framework for simultaneously analyzing three different features of quantum carpets: full revival,fractional revival, and diagonal canal. For the fractional revival feature, a complete formula is presented to explain its formation through Gaussian sum theory, in which all essential features, including phases and amplitudes, are captured analytically. We also reveal important relationships between the interference terms of diagonal canals and their geometric interpretations such that a better understanding of the development of diagonal canals can be supported.展开更多
In this paper we study a class of subsets of the general Sierpinski carpets for which two groups of allowed digits occur in the expansions with proportional frequency. We calculate the Hausdorff and Box dimensions of ...In this paper we study a class of subsets of the general Sierpinski carpets for which two groups of allowed digits occur in the expansions with proportional frequency. We calculate the Hausdorff and Box dimensions of these subsets and give necessary and sufficient conditions for the corresponding Hausdorff measure to be positive and finite.展开更多
In Hainan,China,the indigenous Li ethnic group,who have settled in the region since the Stone Age,has preserved the cultural heritage of Li Jin.This tradition involves dyeing threads,weaving,and embroidering patterns ...In Hainan,China,the indigenous Li ethnic group,who have settled in the region since the Stone Age,has preserved the cultural heritage of Li Jin.This tradition involves dyeing threads,weaving,and embroidering patterns to create clothing.To effectively preserve and develop local culture,it is necessary to redesign the Li Jin patterns,thereby creating derivative products and economic value,and breathing new life into the Li Jin culture.This study focuses on analyzing four main patterns of Li Jin-human figure pattern,animal pattern,plant pattern,and geometric pattern-and aims to develop carpet pattern designs for interior decoration.Through the research,three key themes were derived:“Sustainability”,“Classical”,and“Secret”.Sustainability:Designs under this theme abstractly transformed certain elements of the human figure patterns to convey resilience.Classical:This theme delved into the frog motif among animal patterns,abstracting it deeply to express patterns in a classic and sophisticated manner.Secret:Designs under this theme combined animal,plant,and geometric patterns to convey a sense of enigma,delivering a modern interpretation of Li Jin patterns to consumers.By integrating Li Jin patterns with contemporary trends and applying them to fabric design,this study aims to meet diverse consumer needs while enhancing the competitiveness of the fabric industry in the home interior sector.展开更多
This study aims to develop carpet designs suitable for modern urban households,based on William Morris’s natural style,by incorporating natural elements to meet consumer demands.The research analyzes William Morris’...This study aims to develop carpet designs suitable for modern urban households,based on William Morris’s natural style,by incorporating natural elements to meet consumer demands.The research analyzes William Morris’s works from three different periods,extracting their design characteristics and color elements,and utilizes Adobe Photoshop software to create new carpet designs.The carpets from each period were conceptualized with the themes of“Ocean of Leaves”,“Mirage Forest”,and“Blue Landscape”,respectively,featuring natural curves,contrasting colors,and plant motifs.This study proposes a new carpet design methodology that is expected to respond to market changes and industry demands,thereby contributing to innovation and development in the carpet design field.Furthermore,the research is anticipated to provide a theoretical foundation and practical reference materials for related fields.展开更多
It is necessary to achieve the best specifications in carpets that provide safety to human health in establishments and buildings. This can be achieved by reducing the emissions of toxic gases from combustion via cont...It is necessary to achieve the best specifications in carpets that provide safety to human health in establishments and buildings. This can be achieved by reducing the emissions of toxic gases from combustion via controlling the carpets composition. This research presents a study on carpets behavior when burning samples with different mixing specifications to determine the combustion products by conducting a test using cone Calorimeter to determine the effect of different structures of the carpet on combustion products. The study includes the effect of both the quality of the material used and their different densities and thicknesses. The research provides an analysis of carpet combustion products from different emissions, such as the amount of carbon monoxide CO, the amount of carbon dioxide CO2, smoke density, heat of combustion, and the heat released rate. It is clear that the rate of heat released is uneven in samples with different percentages of mixing. The samples with higher mixing percentage of synthetic fibers give lower temperature while the samples with higher wool percentage give higher temperature. The temperature of combustion increases gradually with the increase of the percentage of wool while the density of the smoke decreases which achieves the required safety of carpets. In addition to this, the research proves the increase of both CO and CO2 as the percentage of synthetic fibers in products which confirms the necessity to avoid the adverse effects of these emissions on human health.展开更多
Abundant material with low cost was utilized to raise medium function of producing carpet turf by life rubbish. The results showed that the material used could strikingly raise water retentiveness and ventilating of ...Abundant material with low cost was utilized to raise medium function of producing carpet turf by life rubbish. The results showed that the material used could strikingly raise water retentiveness and ventilating of medium. Through the determination of the effect of each growth index of several turfgrass, emergence density, plant height, root growth and individual plant′s net primary production were all positively related to the material′s amount mixed, showing that the mixture of material could promote turfgrass growth, further proving that the material used raised medium function of producing carpet turf by life rubbish and made most use of life rubbish resources. It provided a scientific base is for application of environmental engineering by using life rubbish to produce carpet turf. So the study had both important theoretic meaning and applied value.展开更多
基金Financial support from Higher Education Commission(HEC)of Pakistan,under Grant No.20-14808/NRPU/R&D/HEC/20212021
文摘Position-dependent-mass systems are of great importance in many physical situations,such as the transport of charge carriers in semiconductors with non-uniform composition and in the theory of many-body interactions in condensed matter.Here we investigate,numerically and analytically,the phenomenon of fractional revivals in such systems,which is a generic characteristic manifested by the wave-packet evolution in bounded Hamiltonian systems.Identifying the fractional revivals using specific probes is an important task in the theory of quantum measurement and sensing.We numerically simulate the temporal evolution of probability density and information entropy density,which manifest self-similarly recurring interference patterns,namely,quantum carpets.Our numerical results show that the quantum carpets not only serve as an effective probe for recognizing the fractional revivals of various order but they efficiently describe the effect of spatially-varying mass on the structure of fractional revivals,which is manifested as a symmetry breaking in their designs.
基金the National Natural Sciences Foundation of China Special Funds of State Education Committee for Doctorate Scientific Resear
文摘In this paper, authors study the properties of multifractal Hausdorff and packing measures for a class of self-affine sets and use them to study the multifractal properties of general Sierpinski carpet E, and they get that the multifractal Hausdorff and packing measure are mutual singular, when they are restricted on some subsets of E.
基金Funded by the National Basic Research Program of China(973 Program) under Grant No.2012CB720100
文摘Volatile organic compounds(VOCs) emitted from three types of carpets used in aircrafts were compared by using headspace and dynamic chamber tests. The headspace samples contained many compounds that were not detected in the dynamic chamber test; in addition, the dominant VOCs found by these two methods were different. The findings indicate that for highly sorptive materials such as carpets, headspace analysis may give inaccurate indication of actual VOC emissions, and it is necessary to conduct dynamic chamber tests over a certain period of time in order to identify the true emission characteristics. From the dynamic chamber tests, 2-ethyl-1-hexanol was the main VOC emitted from all three carpets. The study also examined the emission characteristics of aircraft carpets. In all experiments, total VOC(TVOC) concentration peaked within a few hours after the start of the experiment and was followed by rapid decay. The emission parameters of TVOC emitted by all three carpets were calculated and the simulated data matched the measured data well.
文摘EDITOR'S NOTE: Fifteen years ago, Zhaxi inherited the properties due to her accord-ing to the will of her uncle in Nepal. She brought them back home to Tibet, and estab-lished its first privately owned company-Potala Carpet Co．Ltd. at Damba Village infront of Zhaibung Monastery.Now 58,she owns properties valued at 20 million Yuan.
文摘In this paper, a lemma as a new method to calculate the Hausdorff measure of fractal is given. And then the exact values of Hausdorff measure of a class of Sierpinski sets which satisfy balance distribution and dimension ≤ 1 are obtained.
基金Program for Changjiang Scholars and Innovative Research Team in University,China(No.IRT1220)Donghua University Thesis Innovation Fund,China(No.EG2014028)
文摘In this paper,according to the cantilever beam of fetching carton mechanism in square packaging machine, considering the impact of motion of air cylinder on it,its dynamics model and finite element model are built by using ANSYS. This paper not only acquires the deformation distribution,stress distribution and natural frequency of the cantilever beam in the static state; but also gets the dynamic response curve in the maximum deformation and the dynamic stress response curve in the near of the maximum stress during the motion of air cylinder. Result shows that no matter static state or dynamic state,deformation of the cantilever in the fetching carton mechanism is acceptable. The design of mechanism is reliable and its motion is also stable; no resonance can occur on the cantilever beam.
基金Supported by National Natural Science Foundation of China(No.50305020)
文摘Tensile properties with different thermoforming conditions and deformation mechanism at thermoforming temperatures of automotive needlepunched carpets made up of three layers of different materials were reported.Investigations on the tensile properties were performed as a function of thermoforming temperature,extensile speed and fiber orientation based on an orthogonal experiment design.The experimental results show that the automotive carpets are rate-dependent anisotropic one and very sensitive to the forming temperature.The tensile properties are strongly depended on the forming temperature when compared with the extensile speed and the fiber orientation.Experiments only varying with the temperature were performed because of the dominative effect of the temperature.Different deformation performances were observed with different temperatures.Deformation mechanisms at the thermoforming temperatures were presented to explain the nonlinear trend of the ultimate elongation with the temperatures based on the combination of the experimental observations and the corresponding polymer theories.
基金Partially supported by National Natural Science Foundation of China (No.10961003)
文摘In this paper, we address the problem of exact computation of the Hausdorff measure of a class of Sierpinski carpets E- the self-similar sets generating in a unit regular pentagon on the plane. Under some conditions, we show the natural covering is the best one, and the Hausdorff measures of those sets are euqal to ｜E｜^S, where s = dimHE.
文摘This work focuses on the development of carpets from sand, fabrics of cotton fiber and mosquito nets and rubber latex. Following a study on the choice of the best formulations, the quantity of rubber latex used for shaping varies between 14% and 18% (latex/sand + latex ratio) for the carpet with the fabric of mosquito nets and between 16% and 18% for the one made with the fabric of cotton fiber. Thus, with a mixture of sand, fiber fabrics (cotton and mosquito nets) and rubber latex, carpets were developed. In addition, the wear test carried out on these samples indicates that it is possible to produce carpets with the new material made of rubber sand and latex: SABLATEX At room temperature. Following the characterization test, it resorts to only 16% latex with cotton fiber fabric, allowing to have carpets with good mechanical characteristics.
基金supported by the Educational Office of Hubei Province #Q20082802supported by National Natural Science Foundation of China (Grant No. 10571058)Shanghai Leading Academic Discipline Project #B407
文摘In this paper we study a class of subsets of the general Sierpinski carpets for which the allowed two digits in the expansions occur with proportional frequency. We calculate the Hausdorff and box dimensions of these subsets and give necessary and sufficient conditions for the corresponding Hausdorff measure to be positive finite.
基金supported by the National Natural Science Foundation of China(Grant No.11875160)the National Natural Science Foundation of China-Guangdong Joint Fund(Grant No.U1801661)+3 种基金the Guangdong Innovative and Entrepreneurial Research Team Program(Grant No.2016ZT06D348)the Natural Science Foundation of Guangdong Province(Grant No.2017B030308003)and the Science,Technology and Innovation Commission of Shenzhen Municipality(Grant Nos.JCYJ20170412152620376,JCYJ20170817105046702,and ZDSYS201703031659262)the Postdoctoral Science Foundation of China(Grant No.2018M632195)
文摘The term "quantum carpet" can be observed in many closed quantum systems, where the evolution of a wave function exhibits a carpet-like pattern. Quantum carpet mechanisms are also akin to the classical interference patterns of light. Although the origins of quantum carpets have previously been studied by various researchers, many interesting details are still worth exploring. In this study, we present a unified framework for simultaneously analyzing three different features of quantum carpets: full revival,fractional revival, and diagonal canal. For the fractional revival feature, a complete formula is presented to explain its formation through Gaussian sum theory, in which all essential features, including phases and amplitudes, are captured analytically. We also reveal important relationships between the interference terms of diagonal canals and their geometric interpretations such that a better understanding of the development of diagonal canals can be supported.
基金Supported by the Educational Office of Hubei Province #Q20082802 the Science and Technology Commission of Shanghai Municipality #06ZR14029
文摘In this paper we study a class of subsets of the general Sierpinski carpets for which two groups of allowed digits occur in the expansions with proportional frequency. We calculate the Hausdorff and Box dimensions of these subsets and give necessary and sufficient conditions for the corresponding Hausdorff measure to be positive and finite.
文摘In Hainan,China,the indigenous Li ethnic group,who have settled in the region since the Stone Age,has preserved the cultural heritage of Li Jin.This tradition involves dyeing threads,weaving,and embroidering patterns to create clothing.To effectively preserve and develop local culture,it is necessary to redesign the Li Jin patterns,thereby creating derivative products and economic value,and breathing new life into the Li Jin culture.This study focuses on analyzing four main patterns of Li Jin-human figure pattern,animal pattern,plant pattern,and geometric pattern-and aims to develop carpet pattern designs for interior decoration.Through the research,three key themes were derived:“Sustainability”,“Classical”,and“Secret”.Sustainability:Designs under this theme abstractly transformed certain elements of the human figure patterns to convey resilience.Classical:This theme delved into the frog motif among animal patterns,abstracting it deeply to express patterns in a classic and sophisticated manner.Secret:Designs under this theme combined animal,plant,and geometric patterns to convey a sense of enigma,delivering a modern interpretation of Li Jin patterns to consumers.By integrating Li Jin patterns with contemporary trends and applying them to fabric design,this study aims to meet diverse consumer needs while enhancing the competitiveness of the fabric industry in the home interior sector.
文摘This study aims to develop carpet designs suitable for modern urban households,based on William Morris’s natural style,by incorporating natural elements to meet consumer demands.The research analyzes William Morris’s works from three different periods,extracting their design characteristics and color elements,and utilizes Adobe Photoshop software to create new carpet designs.The carpets from each period were conceptualized with the themes of“Ocean of Leaves”,“Mirage Forest”,and“Blue Landscape”,respectively,featuring natural curves,contrasting colors,and plant motifs.This study proposes a new carpet design methodology that is expected to respond to market changes and industry demands,thereby contributing to innovation and development in the carpet design field.Furthermore,the research is anticipated to provide a theoretical foundation and practical reference materials for related fields.
文摘It is necessary to achieve the best specifications in carpets that provide safety to human health in establishments and buildings. This can be achieved by reducing the emissions of toxic gases from combustion via controlling the carpets composition. This research presents a study on carpets behavior when burning samples with different mixing specifications to determine the combustion products by conducting a test using cone Calorimeter to determine the effect of different structures of the carpet on combustion products. The study includes the effect of both the quality of the material used and their different densities and thicknesses. The research provides an analysis of carpet combustion products from different emissions, such as the amount of carbon monoxide CO, the amount of carbon dioxide CO2, smoke density, heat of combustion, and the heat released rate. It is clear that the rate of heat released is uneven in samples with different percentages of mixing. The samples with higher mixing percentage of synthetic fibers give lower temperature while the samples with higher wool percentage give higher temperature. The temperature of combustion increases gradually with the increase of the percentage of wool while the density of the smoke decreases which achieves the required safety of carpets. In addition to this, the research proves the increase of both CO and CO2 as the percentage of synthetic fibers in products which confirms the necessity to avoid the adverse effects of these emissions on human health.
文摘Abundant material with low cost was utilized to raise medium function of producing carpet turf by life rubbish. The results showed that the material used could strikingly raise water retentiveness and ventilating of medium. Through the determination of the effect of each growth index of several turfgrass, emergence density, plant height, root growth and individual plant′s net primary production were all positively related to the material′s amount mixed, showing that the mixture of material could promote turfgrass growth, further proving that the material used raised medium function of producing carpet turf by life rubbish and made most use of life rubbish resources. It provided a scientific base is for application of environmental engineering by using life rubbish to produce carpet turf. So the study had both important theoretic meaning and applied value.
