Red-green-blue(RGB)beam combiners are widely used in scenarios such as augmented reality/virtual reality(AR/VR),laser projection,biochemical detection,and other fields.Optical waveguide combiners have attracted extens...Red-green-blue(RGB)beam combiners are widely used in scenarios such as augmented reality/virtual reality(AR/VR),laser projection,biochemical detection,and other fields.Optical waveguide combiners have attracted extensive attention due to their advantages of small size,high multiplexing efficiency,convenient mass production,and low cost.An RGB beam combiner based on directional couplers is designed,with a core-cladding relative refractive index difference of 0.75%.The RGB beam combiner is optimized from the perspective of parameter optimization.Using the beam propagation method(BPM),the relationship between the performance of the RGB beam combiner and individual parameters is studied,achieving preliminary optimization of the device’s performance.The key parameters of the RGB beam combiner are optimized using the entropy weight-technique for order preference by similarity to an ideal solution TOPSIS method,establishing the optimal parameter scheme and further improving the device’s performance indicators.The results show that after optimization,the multiplexing efficiencies for red,green,and blue lights,as well as the average multiplexing efficiency,reached 99.17%,99.76%,96.63%and 98.52%,respectively.The size of the RGB beam combiner is 4.768 mm×0.062 mm.展开更多
The(2+1)-dimensional integrable generalization of the Gardner(2DG)equation is solved via the inverse scattering transform method in this paper.A kind of general solution of the equation is obtained by introducing long...The(2+1)-dimensional integrable generalization of the Gardner(2DG)equation is solved via the inverse scattering transform method in this paper.A kind of general solution of the equation is obtained by introducing long derivatives V_(x),V_(y),V_(t).Two different constraints on the kernel function K are introduced under the reality of the solution u of the 2DG equation.Then,two classes of exact solutions with constant asymptotic values at infinity u|x^(2)+y^(2)→∞→0 are constructed by means of the∂¯-dressing method for the casesσ=1 andσ=i.The rational and multiple pole solutions of the 2DG equation are obtained with the kernel functions of zero-order and higher-order Dirac delta functions,respectively.展开更多
This study presents a novel methodology to obtain an approximate analytical solution for an isotropic homo-geneous elastic medium with displacement and traction boundary conditions.The solution is derived through solv...This study presents a novel methodology to obtain an approximate analytical solution for an isotropic homo-geneous elastic medium with displacement and traction boundary conditions.The solution is derived through solving a specific numerical problem under the scope of the linear finite element method(LFEM),so the method is termed computational method for analytical solutions with finite elements(CMAS-FE).The primary objective of the CMAS-FE is to construct analytical expressions for displacements and reaction forces at nodes,as well as for strains and stresses at elemental quadrature points,all of which are formulated as infinite series solutions of various orders of Poisson’s ratios.Like the conventional LFEM,the CMAS-FE forms global sparse linear equations,but the Young’s modulus and Poisson’s ratio remain variables(or symbols).By employing a direct inverse method to solve these symbolic linear systems,an analytical expression of the displacement field can be constructed.The CMAS-FE is validated via patch and bending tests,which demonstrate convergence with mesh and term refine-ment.Furthermore,the CMAS-FE is applied to obtain the bending stiffness of a beam structure and to estimate an approximate stress intensity factor for a straight crack within a square-shaped plate.展开更多
This paper aims to investigate the tamed Euler method for the random periodic solution of semilinear SDEs with one-sided Lipschitz coefficient.We introduce a novel approach to analyze mean-square error bounds of the n...This paper aims to investigate the tamed Euler method for the random periodic solution of semilinear SDEs with one-sided Lipschitz coefficient.We introduce a novel approach to analyze mean-square error bounds of the novel schemes,without relying on a priori high-order moment bound of the numerical approximation.The expected order-one mean square convergence is attained for the proposed scheme.Moreover,a numerical example is presented to verify our theoretical analysis.展开更多
In this study,a straightforward one-step hydrothermal method was successfully utilized to synthesize the solid solution Na_(0.9)Mg_(0.45)Ti_(3.55)O_(8)-Na_(2)Ni_(2)Ti_(6)O_(16)(NNMTO-x),where x denotes the molar perce...In this study,a straightforward one-step hydrothermal method was successfully utilized to synthesize the solid solution Na_(0.9)Mg_(0.45)Ti_(3.55)O_(8)-Na_(2)Ni_(2)Ti_(6)O_(16)(NNMTO-x),where x denotes the molar percentage of Na_(2)Ni_(2)Ti_(6)O_(16)(NNTO)within Na_(0.9)Mg_(0.45)Ti_(3.55)O_(8)(NMTO),with x values of 10,20,30,40,and 50.Both XPS(X-ray Photoelectron Spectroscopy)and EDX(Energy Dispersive X-ray Spectroscopy)analyses unequivocally validated the formation of the NNMTO-x solid solutions.It was observed that when x is below 40,the NNMTO-x solid solution retains the structural characteristics of the original NMTO.However,beyond this threshold,significant alterations in crystal morphology were noted,accompanied by a noticeable decline in photocatalytic activity.Notably,the absorption edge of NNMTO-x(x<40)exhibited a shift towards the visible-light spectrum,thereby substantially broadening the absorption range.The findings highlight that NNMTO-30 possesses the most pronounced photocatalytic activity for the reduction of CO_(2).Specifically,after a 6 h irradiation period,the production rates of CO and CH_(4)were recorded at 42.38 and 1.47μmol/g,respectively.This investigation provides pivotal insights that are instrumental in the advancement of highly efficient and stable photocatalysts tailored for CO_(2)reduction processes.展开更多
In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to ...In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to obtain the maximal positive definite solution of nonlinear matrix equation X+A^(*)X|^(-α)A=Q with the case 0<α≤1.Based on this method,a new iterative algorithm is developed,and its convergence proof is given.Finally,two numerical examples are provided to show the effectiveness of the proposed method.展开更多
Thymus quinquecostatus Celak.,a traditional aromatic edible plant from Lamiaceae,is widely used as food additive,food condiment,spice,and herbal teas.Polyphenol-rich fraction of T.quinquecostatus(PRF)has been proven t...Thymus quinquecostatus Celak.,a traditional aromatic edible plant from Lamiaceae,is widely used as food additive,food condiment,spice,and herbal teas.Polyphenol-rich fraction of T.quinquecostatus(PRF)has been proven to be effective protective effect for cerebral ischemia reperfusion injury(CIRI)in our previous study.In this study,we developed a novel“Gut flora-Compound-Target-Pathway”(GCTP)network based on network pharmacology coupled with gastrointestinal metabolism for screening bio-active components,key targets and gut floras through the classical technique for order preference by similarity to ideal solution(TOPSIS).This compensates for the lack of gut floras and gastrointestinal metabolism in network pharmacology.Firstly,four incubation models covering simulated gastric juice,simulated intestinal juice,gut floras of normal and transient middle cerebral artery occlusion(tMCAO)rat in vitro were applied to PRF.The 109 proto-components and 64 metabolites were elucidated by ultra-high performance liquid chromatography Q exactive orbitrap-mass spectrometry(UPLC-QE-Orbitrap-MS).Then,the key targets of matrix metalloproteinase 9(MMP9),prostaglandin-endoperoxide synthase 2(PTGS2),tyrosine-protein kinase fyn(FYN),estrogen receptor 1(ESR1),amyloid precursor protein(APP),and epidermal growth factor receptor(EGFR),and gut floras of Enterococcus avium LY1 were selected.Moreover,the selected key proto components were rosmarinic acid,daidzein,quercetin,luteolin,apigenin,methyl rosmarinate,kaempferol,luteoloside,and caffeic acid,and the key metabolites were isokaempferide,isorhamnetin,isoquercetin,and mangiferin.Binding of compounds to the key proteins was analyzed by molecular docking,and also verified though an 2,2'-azobis(2-amidinopropane)dihydrochloride(AAPH)induced oxidative stress zebrafish model and real-time quantitative polymerase chain reaction(RT-qPCR)assays.This study provides a new idea and a better understanding of PRF for its protective effects on CIRI and its underlying mechanisms.展开更多
Undoubtedly,noise has become a major hazardous issue in today’s industrial world,with a lot of people suffering from exposure to excessive noise in their work environments.This study was conducted to weigh and priori...Undoubtedly,noise has become a major hazardous issue in today’s industrial world,with a lot of people suffering from exposure to excessive noise in their work environments.This study was conducted to weigh and prioritize noise control methods in an Iranian tire manufacturing complex in Iran.The Delphi method and the Technique for Order Preference by Similarity and an Ideal Solution(TOPSIS)were utilized for this purpose.This cross-sectional,descriptive study was conducted in the baking hall of an Iranian tire manufacturing factory in 2016.To weigh and prioritize noise control methods,Analytic Hierarchy Process(AHP)and TOPSIS were applied.In total,4 criteria and 8 alternatives were examined.An AHP and TOPSIS questionnaire was then designed to prioritize noise control methods in the light of the objectives,criteria,and alternatives.Then,the collected data were fed into Expert Choise.V.11 and Excel and data analysis was carried out using TOPSIS.The results of data analysis indicated that the inconsistency rate in all the cases was smaller than 10%,hence the consistency of the responses was verified.According to the TOPSIS results and experts’opinions about the criteria,implementation and maintenance cost(with a weight of 0.481)and method effectiveness and efficiency(with a weight of 0.046)had the highest and lowest priority respectively.Based on the weights TOPSIS,the appropriate methods for controlling noise in tire manufacturing are designing and manufacturing silencer,requiring people in charge to quickly fix the leaks and change baking press washers on time.展开更多
基金Project(52175445)supported by the National Natural Science Foundation of ChinaProject(2022JJ30743)supported by the Natural Science Foundation of Hunan Province,China+1 种基金Project(2023GK2024)supported by the Key Research and Development Program of Hunan Province,ChinaProject(2023ZZTS0391)supported by the Fundamental Research Funds for the Central Universities of China。
文摘Red-green-blue(RGB)beam combiners are widely used in scenarios such as augmented reality/virtual reality(AR/VR),laser projection,biochemical detection,and other fields.Optical waveguide combiners have attracted extensive attention due to their advantages of small size,high multiplexing efficiency,convenient mass production,and low cost.An RGB beam combiner based on directional couplers is designed,with a core-cladding relative refractive index difference of 0.75%.The RGB beam combiner is optimized from the perspective of parameter optimization.Using the beam propagation method(BPM),the relationship between the performance of the RGB beam combiner and individual parameters is studied,achieving preliminary optimization of the device’s performance.The key parameters of the RGB beam combiner are optimized using the entropy weight-technique for order preference by similarity to an ideal solution TOPSIS method,establishing the optimal parameter scheme and further improving the device’s performance indicators.The results show that after optimization,the multiplexing efficiencies for red,green,and blue lights,as well as the average multiplexing efficiency,reached 99.17%,99.76%,96.63%and 98.52%,respectively.The size of the RGB beam combiner is 4.768 mm×0.062 mm.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1237125611971475)。
文摘The(2+1)-dimensional integrable generalization of the Gardner(2DG)equation is solved via the inverse scattering transform method in this paper.A kind of general solution of the equation is obtained by introducing long derivatives V_(x),V_(y),V_(t).Two different constraints on the kernel function K are introduced under the reality of the solution u of the 2DG equation.Then,two classes of exact solutions with constant asymptotic values at infinity u|x^(2)+y^(2)→∞→0 are constructed by means of the∂¯-dressing method for the casesσ=1 andσ=i.The rational and multiple pole solutions of the 2DG equation are obtained with the kernel functions of zero-order and higher-order Dirac delta functions,respectively.
基金supported by the National Natural Science Foundation of China Excellence Research Group Program for“Multiscale Problems in Nonlinear Mechanics”(Grant No.12588201)the National Key R&D Program of China(Grant No.2023YFA1008901)+1 种基金the National Nat-ural Science Foundation of China(Grant No.12172009)supported by“The Fundamental Research Funds for the Central Universities,Peking University”.
文摘This study presents a novel methodology to obtain an approximate analytical solution for an isotropic homo-geneous elastic medium with displacement and traction boundary conditions.The solution is derived through solving a specific numerical problem under the scope of the linear finite element method(LFEM),so the method is termed computational method for analytical solutions with finite elements(CMAS-FE).The primary objective of the CMAS-FE is to construct analytical expressions for displacements and reaction forces at nodes,as well as for strains and stresses at elemental quadrature points,all of which are formulated as infinite series solutions of various orders of Poisson’s ratios.Like the conventional LFEM,the CMAS-FE forms global sparse linear equations,but the Young’s modulus and Poisson’s ratio remain variables(or symbols).By employing a direct inverse method to solve these symbolic linear systems,an analytical expression of the displacement field can be constructed.The CMAS-FE is validated via patch and bending tests,which demonstrate convergence with mesh and term refine-ment.Furthermore,the CMAS-FE is applied to obtain the bending stiffness of a beam structure and to estimate an approximate stress intensity factor for a straight crack within a square-shaped plate.
基金supported by the National Natural Science Foundation of China(Nos.12471394,12371417)Natural Science Foundation of Changsha(No.kq2502101)。
文摘This paper aims to investigate the tamed Euler method for the random periodic solution of semilinear SDEs with one-sided Lipschitz coefficient.We introduce a novel approach to analyze mean-square error bounds of the novel schemes,without relying on a priori high-order moment bound of the numerical approximation.The expected order-one mean square convergence is attained for the proposed scheme.Moreover,a numerical example is presented to verify our theoretical analysis.
基金Supported by the Doctoral Research Start-up Project of Yuncheng University(YQ-2023067)Project of Shanxi Natural Science Foundation(202303021211189)+1 种基金Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Provinces(20220036)Shanxi ProvinceIntelligent Optoelectronic Sensing Application Technology Innovation Center and Shanxi Province Optoelectronic Information Science and TechnologyLaboratory,Yuncheng University.
文摘In this study,a straightforward one-step hydrothermal method was successfully utilized to synthesize the solid solution Na_(0.9)Mg_(0.45)Ti_(3.55)O_(8)-Na_(2)Ni_(2)Ti_(6)O_(16)(NNMTO-x),where x denotes the molar percentage of Na_(2)Ni_(2)Ti_(6)O_(16)(NNTO)within Na_(0.9)Mg_(0.45)Ti_(3.55)O_(8)(NMTO),with x values of 10,20,30,40,and 50.Both XPS(X-ray Photoelectron Spectroscopy)and EDX(Energy Dispersive X-ray Spectroscopy)analyses unequivocally validated the formation of the NNMTO-x solid solutions.It was observed that when x is below 40,the NNMTO-x solid solution retains the structural characteristics of the original NMTO.However,beyond this threshold,significant alterations in crystal morphology were noted,accompanied by a noticeable decline in photocatalytic activity.Notably,the absorption edge of NNMTO-x(x<40)exhibited a shift towards the visible-light spectrum,thereby substantially broadening the absorption range.The findings highlight that NNMTO-30 possesses the most pronounced photocatalytic activity for the reduction of CO_(2).Specifically,after a 6 h irradiation period,the production rates of CO and CH_(4)were recorded at 42.38 and 1.47μmol/g,respectively.This investigation provides pivotal insights that are instrumental in the advancement of highly efficient and stable photocatalysts tailored for CO_(2)reduction processes.
基金Supported in part by Natural Science Foundation of Guangxi(2023GXNSFAA026246)in part by the Central Government's Guide to Local Science and Technology Development Fund(GuikeZY23055044)in part by the National Natural Science Foundation of China(62363003)。
文摘In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to obtain the maximal positive definite solution of nonlinear matrix equation X+A^(*)X|^(-α)A=Q with the case 0<α≤1.Based on this method,a new iterative algorithm is developed,and its convergence proof is given.Finally,two numerical examples are provided to show the effectiveness of the proposed method.
基金supported by the Key Research and Development Project of Ningxia Hui Autonomous Region(2020BFG03007).
文摘Thymus quinquecostatus Celak.,a traditional aromatic edible plant from Lamiaceae,is widely used as food additive,food condiment,spice,and herbal teas.Polyphenol-rich fraction of T.quinquecostatus(PRF)has been proven to be effective protective effect for cerebral ischemia reperfusion injury(CIRI)in our previous study.In this study,we developed a novel“Gut flora-Compound-Target-Pathway”(GCTP)network based on network pharmacology coupled with gastrointestinal metabolism for screening bio-active components,key targets and gut floras through the classical technique for order preference by similarity to ideal solution(TOPSIS).This compensates for the lack of gut floras and gastrointestinal metabolism in network pharmacology.Firstly,four incubation models covering simulated gastric juice,simulated intestinal juice,gut floras of normal and transient middle cerebral artery occlusion(tMCAO)rat in vitro were applied to PRF.The 109 proto-components and 64 metabolites were elucidated by ultra-high performance liquid chromatography Q exactive orbitrap-mass spectrometry(UPLC-QE-Orbitrap-MS).Then,the key targets of matrix metalloproteinase 9(MMP9),prostaglandin-endoperoxide synthase 2(PTGS2),tyrosine-protein kinase fyn(FYN),estrogen receptor 1(ESR1),amyloid precursor protein(APP),and epidermal growth factor receptor(EGFR),and gut floras of Enterococcus avium LY1 were selected.Moreover,the selected key proto components were rosmarinic acid,daidzein,quercetin,luteolin,apigenin,methyl rosmarinate,kaempferol,luteoloside,and caffeic acid,and the key metabolites were isokaempferide,isorhamnetin,isoquercetin,and mangiferin.Binding of compounds to the key proteins was analyzed by molecular docking,and also verified though an 2,2'-azobis(2-amidinopropane)dihydrochloride(AAPH)induced oxidative stress zebrafish model and real-time quantitative polymerase chain reaction(RT-qPCR)assays.This study provides a new idea and a better understanding of PRF for its protective effects on CIRI and its underlying mechanisms.
基金This study was approved by the Ethics Committee of Kerman University of Medical Sciences.Ethics code(IR.KMU.REC.1397.392).
文摘Undoubtedly,noise has become a major hazardous issue in today’s industrial world,with a lot of people suffering from exposure to excessive noise in their work environments.This study was conducted to weigh and prioritize noise control methods in an Iranian tire manufacturing complex in Iran.The Delphi method and the Technique for Order Preference by Similarity and an Ideal Solution(TOPSIS)were utilized for this purpose.This cross-sectional,descriptive study was conducted in the baking hall of an Iranian tire manufacturing factory in 2016.To weigh and prioritize noise control methods,Analytic Hierarchy Process(AHP)and TOPSIS were applied.In total,4 criteria and 8 alternatives were examined.An AHP and TOPSIS questionnaire was then designed to prioritize noise control methods in the light of the objectives,criteria,and alternatives.Then,the collected data were fed into Expert Choise.V.11 and Excel and data analysis was carried out using TOPSIS.The results of data analysis indicated that the inconsistency rate in all the cases was smaller than 10%,hence the consistency of the responses was verified.According to the TOPSIS results and experts’opinions about the criteria,implementation and maintenance cost(with a weight of 0.481)and method effectiveness and efficiency(with a weight of 0.046)had the highest and lowest priority respectively.Based on the weights TOPSIS,the appropriate methods for controlling noise in tire manufacturing are designing and manufacturing silencer,requiring people in charge to quickly fix the leaks and change baking press washers on time.
