Aims:Divided nevus of the eyelid is a congenital pigmented nevus that impacts eyelid function and aesthetics.While surgical excision and laser ablation are current treatment options,they have limitations when dealing ...Aims:Divided nevus of the eyelid is a congenital pigmented nevus that impacts eyelid function and aesthetics.While surgical excision and laser ablation are current treatment options,they have limitations when dealing with large lesions.This study aims to investigate the efficacy and safety of carbon dioxide(CO_(2))laser excision treatment for divided nevus of the eyelid.Methods:This retrospective study included 10 patients(5 males,5 females)with a mean age of 23.7 years(9-54 years).All underwent CO_(2)laser excision and were followed up for 12 months.Treatment outcomes were assessed through clearance and recurrence rates,evaluated using digital photography.Postoperative complications were closely monitored throughout the 12-month follow-up period.Patient satisfaction was assessed using a comprehensive questionnaire.Results:All patients presented with unilateral divided nevus of the eyelid,with lesion diameters ranging from 25 to 50 mm and heights ranging from 0.3 to 6 mm(mean:3.93 mm).Patients received between 1 and 5 laser treatment sessions.At the 12-month follow-up,a 100%clearance rate was achieved,with no recurrence observed in any patient.All patients maintained a continuous eyelid margin with acceptable irregularity.Complications were minimal,with partial eyelash loss in 8 patients,hyperpigmentation in 2 patients,and mild upper eyelid trichiasis in 1 patient.No severe complications,such as ectropion,eyelid margin notching,corneal erosion,or significant scar hypertrophy,were reported.All patients expressed being"very satisfied"with the functional and cosmetic outcomes in a questionnaire.Conclusions:CO_(2)laser excision offers a simple,precise,and effective treatment approach for divided nevus of the eyelid.This innovative technique simplifies the treatment process,achieves excellent cosmetic outcomes,and eliminates the need for skin grafting,making it a promising option for the management of large divided nevus.展开更多
In this study, numerical optimisation and experimental validation of a divided rail freight brake disc crown made of grey cast iron EN-GJL-250 is presented.The analysed brake disc is used in rail freight wagons and po...In this study, numerical optimisation and experimental validation of a divided rail freight brake disc crown made of grey cast iron EN-GJL-250 is presented.The analysed brake disc is used in rail freight wagons and possesses a load capacity of 22.5 tons per axle. Two of the divided rail freight brake discs are mounted on each axle.With the aid of numerical analysis, the thermal dissipation properties of the brake disc were optimised and ventilation losses were reduced, and the numerical results were compared with experimental results. A one-way fluid–structure interaction analysis was performed. A computational fluid dynamic model of a divided rail freight brake disc, used to predict air flow properties and heat convection, was incorporated into a finite element model of the disc and used to evaluate the temperature of the disc. A numerical parametrical optimisation of cooling ribs of the brake disc was also performed, and novel optimised cooling ribs were developed. A transient thermal numerical analysis of the brake disc was validated using temperature measurements obtained during a braking test on a test bench. The ventilation losses of the brake disc were measured on a test bench specifically designed for the task, and the losses were compared to the simulation results. The experimentally obtained ventilation losses and temperature measurements compared favourably with the simulation results, confirming that this type of simulation process may be confidently applied in the future. Through systematic optimisation of the divided rail freight brake disc, ventilation losses were reduced by 37% and the mass was reduced by 21%, resulting in better thermal performance that will bring with it substantial energy savings.展开更多
This paper numerically simulates the stress development and generates a three-dimensional model of the medium-length hole blasting in infinite rock mass for continuous charge and divided charge in blasting by using th...This paper numerically simulates the stress development and generates a three-dimensional model of the medium-length hole blasting in infinite rock mass for continuous charge and divided charge in blasting by using the large-scale nonlinear dynamic analysis software LS-DYNA and the elastic-plastic model ~*MAT_PLASTIC_KINEMATIC and JWO-EOS.The differences of the decreasing rate in Von Mises effective stress of blasting,element effective stress peak of free surface,bore wall stress and acceleration are investigated.It is shown that divided charge could greatly improve the blasting effect by engineering blasting practice.展开更多
The paper is designed to research the translation practice of Divided We Stand from the perspective of Translator Behavior Criticism.Thus,the paper uses the tools of degree of truth-seeking,degree of utility and degre...The paper is designed to research the translation practice of Divided We Stand from the perspective of Translator Behavior Criticism.Thus,the paper uses the tools of degree of truth-seeking,degree of utility and degree of rationality under the macro-guidance of Truth-seeking-Utility-attaining evaluative model of continuum.Specifically from the perspective of intra-translation,extra-translation and non-translation,the paper research and evaluate the translation practice.展开更多
Presents the division of non developable ruled surface into divided small areas and flank milling in these divided areas to improve machining efficiency and machined surface quality by controlling the machining error ...Presents the division of non developable ruled surface into divided small areas and flank milling in these divided areas to improve machining efficiency and machined surface quality by controlling the machining error for each area, and the algorithms developed for generation of tool path and calculation of errors, and concludes from computer simulation results that the algorithms are correct.展开更多
A second-order divided difference filter (SDDF) is derived for integrating line of sight measurement from vision sensor with acceleration and angular rate measurements of the follower to estimate the precise relative ...A second-order divided difference filter (SDDF) is derived for integrating line of sight measurement from vision sensor with acceleration and angular rate measurements of the follower to estimate the precise relative position,velocity and attitude of two unmanned aerial vehicles (UAVs).The second-order divided difference filter which makes use of multidimensional interpolation formulations to approximate the nonlinear transformations could achieve more accurate estimation and faster convergence from inaccurate initial conditions than standard extended Kalman filter.The filter formulation is based on relative motion equations.The global attitude parameterization is given by quarternion,while a generalized three-dimensional attitude representation is used to define the local attitude error.Simulation results are shown to compare the performance of the second-order divided difference filter with a standard extended Kalman filter approach.展开更多
A square-root version of the divided difference Rauch-Tung-Striebel (RTS) smoother is proposed in this paper. The square-root variant essentially propagates the square roots of the covariance matrices and can consiste...A square-root version of the divided difference Rauch-Tung-Striebel (RTS) smoother is proposed in this paper. The square-root variant essentially propagates the square roots of the covariance matrices and can consistently improve the numerical stability because all the resulting covariance matrices are guaranteed to stay positive semi-definite. Furthermore, the square-root form ensures reliable implementation in an embedded system with fixed or limited precision although it is algebraically equivalent to the standard form. The new smoothing algorithm is tested in a challenging two-dimensional maneuvering target tracking problem with unknown and time-varying turn rate, and its performance is compared with that of other de-facto standard filters and smoothers. The simulation results indicate that the proposed RTS smoother markedly outperforms the associated filters and gives slightly smaller error than an unscented-based RTS smoother.展开更多
A hierarchical robot control is proposed for robot soccer system. The Newton’s divided difference is utilized in robot path planning. This paper describes the problems encoutered, software design considerations, visi...A hierarchical robot control is proposed for robot soccer system. The Newton’s divided difference is utilized in robot path planning. This paper describes the problems encoutered, software design considerations, vision algorithm and controls of individual robots. The solutions to the problems implemented are simple and direct. It is observed that many of the ideas and solutions can be evolved based on simple theories and concepts. This paper focuses on software structure of multi agent controls, vision algorithm and simple path planning method.展开更多
This paper presents a new nonstationary iterative method for solving non linear algebraic equations that does not require the use of any derivative. The study uses only the Newton’s divided differences of first and s...This paper presents a new nonstationary iterative method for solving non linear algebraic equations that does not require the use of any derivative. The study uses only the Newton’s divided differences of first and second orders instead of the derivatives of (1).展开更多
The efficient and accurate approximate nonlinear filters have been widely used in the estimation of states and parameters of dynamical systems. In this paper, an adaptive divided difference filter is designed for prec...The efficient and accurate approximate nonlinear filters have been widely used in the estimation of states and parameters of dynamical systems. In this paper, an adaptive divided difference filter is designed for precise estimation of states and parameters of micromechanical gyro navigation system. Based on the investigation of nonlinear divided difference filter the adaptive divided difference filter(ADDF) was designed, which takes account of the incorrect time-varying noise statistics of dynamical systems and compensation of the nonlinearity effects neglected by linearization. And its performance is superior to that of DDF and extended Kalman filter(EKF). Simulation results indicate that the advantages of the proposed nonlinear filters make them attractive alternatives to the extended Kalman filter.展开更多
Sites with varying geometric features were analyzed to develop the 85 th percentile speed prediction models for car and sports utility vehicle(SUV) at 50 m prior to the point of curvature(PC), PC, midpoint of a curve(...Sites with varying geometric features were analyzed to develop the 85 th percentile speed prediction models for car and sports utility vehicle(SUV) at 50 m prior to the point of curvature(PC), PC, midpoint of a curve(MC), point of tangent(PT) and 50 m beyond PT on four-lane median divided rural highways. The car and SUV speed data were combined in the analysis as they were found to be normally distributed and not significantly different. Independent parameters representing geometric features and speed at the preceding section were logically selected in stepwise regression analyses to develop the models. Speeds at various locations were found to be dependent on some combinations of curve length, curvature and speed in the immediately preceding section of the highway. Curve length had a significant effect on the speed at locations 50 m prior to PC, PC and MC. The effect of curvature on speed was observed only at MC. The curve geometry did not have a significant effect on speed from PT onwards. The speed at 50 m prior to PC and curvature is the most significant parameter that affects the speed at PC and MC, respectively. Before entering a horizontal curve, drivers possibly perceive the curve based on its length. Longer curve encourages drivers to maintain higher speed in the preceding tangent section. Further, drivers start experiencing the effect of curvature only after entering the curve and adjust speed accordingly. Practitioners can use these findings in designing consistent horizontal curve for vehicle speed harmony.展开更多
Objective: Accumulating evidence indicates that zero divided by zero is equal to one. Still it is not clear what number theory or algebra is saying about this. Methods: To explore the relationship between the problem ...Objective: Accumulating evidence indicates that zero divided by zero is equal to one. Still it is not clear what number theory or algebra is saying about this. Methods: To explore the relationship between the problem of the division of zero by zero and number theory, a systematic approach is used while analyzing the relationship between number theory and independence. Result: The theorems developed in this publication support the thesis that zero divided by zero is equal to one. Furthermore, it was possible to define the law of independence under conditions of number theory and algebra. Conclusion: The findings of this study suggest that zero divided by zero equals one.展开更多
GUO Luping had to breakthe promise she made to her Tunisian patients. The Chinese obstetrician worked in Tunisia for 15 months on a Chinese medical aid program to the country. When she came back to her hometown in sou...GUO Luping had to breakthe promise she made to her Tunisian patients. The Chinese obstetrician worked in Tunisia for 15 months on a Chinese medical aid program to the country. When she came back to her hometown in southeast China'sJiangxi Province in 2016, she got bad news. The 41-year-old doctor was diagnosed with mid-to-late-stage breast cancer. Having helped countless patients abroad, the doctor now had to care about her own health.展开更多
We demonstrated a divided pulse amplification of burst pulse trains.The intraburst rate is 1 GHz,and the burst rate ranges from 1.5 k Hz to 15 MHz.Under the pump power of 100 W,the burst pulse energy is adjustable fro...We demonstrated a divided pulse amplification of burst pulse trains.The intraburst rate is 1 GHz,and the burst rate ranges from 1.5 k Hz to 15 MHz.Under the pump power of 100 W,the burst pulse energy is adjustable from 2.2μJ to 22 mJ.The pulse width of combined and compressed pulses is 275 fs with beam quality M^(2)of 1.2.展开更多
The growth of meromorphic solutions of linear difference equations containing Askey-Wilson divided difference operators is estimated.Theφ-order is used as a general growth indicator,which covers the growth spectrum b...The growth of meromorphic solutions of linear difference equations containing Askey-Wilson divided difference operators is estimated.Theφ-order is used as a general growth indicator,which covers the growth spectrum between the logarithmic orderρlog(f)and the classical orderρ(f)of a meromorphic function f.展开更多
The n-divided difference of the composite function h := f o g of functions f, g at a group of nodes t0,t1,…,tn is shown by the combinations of divided differences of f at the group of nodes g(t0),g(t1),…,g(tm...The n-divided difference of the composite function h := f o g of functions f, g at a group of nodes t0,t1,…,tn is shown by the combinations of divided differences of f at the group of nodes g(t0),g(t1),…,g(tm) and divided differences of g at several partial group of nodes t0,t1,…,tn, where m = 1,2,…,n. Especially, when the given group of nodes are equal to each other completely, it will lead to Faà di Bruno's formula of higher derivatives of function h.展开更多
The remainder estimates of numerical divided difference formula are given for the functions of lower and higher smoothness, respectively. Then several divided difference formulas with super-convergence are derived wit...The remainder estimates of numerical divided difference formula are given for the functions of lower and higher smoothness, respectively. Then several divided difference formulas with super-convergence are derived with their remainder expressions.展开更多
A new structure of a lateral n-MOST and a new level-shifting structure with multiply metal rings (MMRs) by divided RESURF technique have been proposed. The device and electrical performances of the structure are ana...A new structure of a lateral n-MOST and a new level-shifting structure with multiply metal rings (MMRs) by divided RESURF technique have been proposed. The device and electrical performances of the structure are analyzed and simulated by MEDICI. In comparison to the level-shifting structure with multiply floating field plates (MFFPs) used before, the structure stated here improves the reliability and diminishes the voltage difference between the voltage of the power supply of the high-side gate driver and the voltage of the output terminal of the level-shifting structure, which is also that of the input terminal of the high-side gate driver. The maximal voltage difference of the level-shifting structure in this paper is 30% lower than that used before. Therefore, good voltage isolation and current isolation are obtained. The structure can be used in the level-shifting circuit of various applications.展开更多
文摘Aims:Divided nevus of the eyelid is a congenital pigmented nevus that impacts eyelid function and aesthetics.While surgical excision and laser ablation are current treatment options,they have limitations when dealing with large lesions.This study aims to investigate the efficacy and safety of carbon dioxide(CO_(2))laser excision treatment for divided nevus of the eyelid.Methods:This retrospective study included 10 patients(5 males,5 females)with a mean age of 23.7 years(9-54 years).All underwent CO_(2)laser excision and were followed up for 12 months.Treatment outcomes were assessed through clearance and recurrence rates,evaluated using digital photography.Postoperative complications were closely monitored throughout the 12-month follow-up period.Patient satisfaction was assessed using a comprehensive questionnaire.Results:All patients presented with unilateral divided nevus of the eyelid,with lesion diameters ranging from 25 to 50 mm and heights ranging from 0.3 to 6 mm(mean:3.93 mm).Patients received between 1 and 5 laser treatment sessions.At the 12-month follow-up,a 100%clearance rate was achieved,with no recurrence observed in any patient.All patients maintained a continuous eyelid margin with acceptable irregularity.Complications were minimal,with partial eyelash loss in 8 patients,hyperpigmentation in 2 patients,and mild upper eyelid trichiasis in 1 patient.No severe complications,such as ectropion,eyelid margin notching,corneal erosion,or significant scar hypertrophy,were reported.All patients expressed being"very satisfied"with the functional and cosmetic outcomes in a questionnaire.Conclusions:CO_(2)laser excision offers a simple,precise,and effective treatment approach for divided nevus of the eyelid.This innovative technique simplifies the treatment process,achieves excellent cosmetic outcomes,and eliminates the need for skin grafting,making it a promising option for the management of large divided nevus.
基金supported by the European Union’s Horizon 2020 researchinnovation programme FUTURA under Grant Agreement No. 700985
文摘In this study, numerical optimisation and experimental validation of a divided rail freight brake disc crown made of grey cast iron EN-GJL-250 is presented.The analysed brake disc is used in rail freight wagons and possesses a load capacity of 22.5 tons per axle. Two of the divided rail freight brake discs are mounted on each axle.With the aid of numerical analysis, the thermal dissipation properties of the brake disc were optimised and ventilation losses were reduced, and the numerical results were compared with experimental results. A one-way fluid–structure interaction analysis was performed. A computational fluid dynamic model of a divided rail freight brake disc, used to predict air flow properties and heat convection, was incorporated into a finite element model of the disc and used to evaluate the temperature of the disc. A numerical parametrical optimisation of cooling ribs of the brake disc was also performed, and novel optimised cooling ribs were developed. A transient thermal numerical analysis of the brake disc was validated using temperature measurements obtained during a braking test on a test bench. The ventilation losses of the brake disc were measured on a test bench specifically designed for the task, and the losses were compared to the simulation results. The experimentally obtained ventilation losses and temperature measurements compared favourably with the simulation results, confirming that this type of simulation process may be confidently applied in the future. Through systematic optimisation of the divided rail freight brake disc, ventilation losses were reduced by 37% and the mass was reduced by 21%, resulting in better thermal performance that will bring with it substantial energy savings.
基金National Natural Science Foundation of China (No. 51304087) Foundation Projects of Yun- nan Province (No. KKSY201404056, No. KKSA201121083)
文摘This paper numerically simulates the stress development and generates a three-dimensional model of the medium-length hole blasting in infinite rock mass for continuous charge and divided charge in blasting by using the large-scale nonlinear dynamic analysis software LS-DYNA and the elastic-plastic model ~*MAT_PLASTIC_KINEMATIC and JWO-EOS.The differences of the decreasing rate in Von Mises effective stress of blasting,element effective stress peak of free surface,bore wall stress and acceleration are investigated.It is shown that divided charge could greatly improve the blasting effect by engineering blasting practice.
文摘The paper is designed to research the translation practice of Divided We Stand from the perspective of Translator Behavior Criticism.Thus,the paper uses the tools of degree of truth-seeking,degree of utility and degree of rationality under the macro-guidance of Truth-seeking-Utility-attaining evaluative model of continuum.Specifically from the perspective of intra-translation,extra-translation and non-translation,the paper research and evaluate the translation practice.
文摘Presents the division of non developable ruled surface into divided small areas and flank milling in these divided areas to improve machining efficiency and machined surface quality by controlling the machining error for each area, and the algorithms developed for generation of tool path and calculation of errors, and concludes from computer simulation results that the algorithms are correct.
基金Sponsored by the Aerospace Technology Innovation Funding(Grant No. CASC0209)
文摘A second-order divided difference filter (SDDF) is derived for integrating line of sight measurement from vision sensor with acceleration and angular rate measurements of the follower to estimate the precise relative position,velocity and attitude of two unmanned aerial vehicles (UAVs).The second-order divided difference filter which makes use of multidimensional interpolation formulations to approximate the nonlinear transformations could achieve more accurate estimation and faster convergence from inaccurate initial conditions than standard extended Kalman filter.The filter formulation is based on relative motion equations.The global attitude parameterization is given by quarternion,while a generalized three-dimensional attitude representation is used to define the local attitude error.Simulation results are shown to compare the performance of the second-order divided difference filter with a standard extended Kalman filter approach.
基金the Fundamental Research Fund of Northwestern Polytechnical University( Grant No. JC20120210,JC20110238)
文摘A square-root version of the divided difference Rauch-Tung-Striebel (RTS) smoother is proposed in this paper. The square-root variant essentially propagates the square roots of the covariance matrices and can consistently improve the numerical stability because all the resulting covariance matrices are guaranteed to stay positive semi-definite. Furthermore, the square-root form ensures reliable implementation in an embedded system with fixed or limited precision although it is algebraically equivalent to the standard form. The new smoothing algorithm is tested in a challenging two-dimensional maneuvering target tracking problem with unknown and time-varying turn rate, and its performance is compared with that of other de-facto standard filters and smoothers. The simulation results indicate that the proposed RTS smoother markedly outperforms the associated filters and gives slightly smaller error than an unscented-based RTS smoother.
文摘A hierarchical robot control is proposed for robot soccer system. The Newton’s divided difference is utilized in robot path planning. This paper describes the problems encoutered, software design considerations, vision algorithm and controls of individual robots. The solutions to the problems implemented are simple and direct. It is observed that many of the ideas and solutions can be evolved based on simple theories and concepts. This paper focuses on software structure of multi agent controls, vision algorithm and simple path planning method.
文摘This paper presents a new nonstationary iterative method for solving non linear algebraic equations that does not require the use of any derivative. The study uses only the Newton’s divided differences of first and second orders instead of the derivatives of (1).
文摘The efficient and accurate approximate nonlinear filters have been widely used in the estimation of states and parameters of dynamical systems. In this paper, an adaptive divided difference filter is designed for precise estimation of states and parameters of micromechanical gyro navigation system. Based on the investigation of nonlinear divided difference filter the adaptive divided difference filter(ADDF) was designed, which takes account of the incorrect time-varying noise statistics of dynamical systems and compensation of the nonlinearity effects neglected by linearization. And its performance is superior to that of DDF and extended Kalman filter(EKF). Simulation results indicate that the advantages of the proposed nonlinear filters make them attractive alternatives to the extended Kalman filter.
基金Indian Institute of Technology Bombay for providing funding (Project code:13IRCCSG001)
文摘Sites with varying geometric features were analyzed to develop the 85 th percentile speed prediction models for car and sports utility vehicle(SUV) at 50 m prior to the point of curvature(PC), PC, midpoint of a curve(MC), point of tangent(PT) and 50 m beyond PT on four-lane median divided rural highways. The car and SUV speed data were combined in the analysis as they were found to be normally distributed and not significantly different. Independent parameters representing geometric features and speed at the preceding section were logically selected in stepwise regression analyses to develop the models. Speeds at various locations were found to be dependent on some combinations of curve length, curvature and speed in the immediately preceding section of the highway. Curve length had a significant effect on the speed at locations 50 m prior to PC, PC and MC. The effect of curvature on speed was observed only at MC. The curve geometry did not have a significant effect on speed from PT onwards. The speed at 50 m prior to PC and curvature is the most significant parameter that affects the speed at PC and MC, respectively. Before entering a horizontal curve, drivers possibly perceive the curve based on its length. Longer curve encourages drivers to maintain higher speed in the preceding tangent section. Further, drivers start experiencing the effect of curvature only after entering the curve and adjust speed accordingly. Practitioners can use these findings in designing consistent horizontal curve for vehicle speed harmony.
文摘Objective: Accumulating evidence indicates that zero divided by zero is equal to one. Still it is not clear what number theory or algebra is saying about this. Methods: To explore the relationship between the problem of the division of zero by zero and number theory, a systematic approach is used while analyzing the relationship between number theory and independence. Result: The theorems developed in this publication support the thesis that zero divided by zero is equal to one. Furthermore, it was possible to define the law of independence under conditions of number theory and algebra. Conclusion: The findings of this study suggest that zero divided by zero equals one.
基金sponsored by the Africa-China Reporting Project managed by the Journalism Department of the University of the Witwatersrand,South Africa
文摘GUO Luping had to breakthe promise she made to her Tunisian patients. The Chinese obstetrician worked in Tunisia for 15 months on a Chinese medical aid program to the country. When she came back to her hometown in southeast China'sJiangxi Province in 2016, she got bad news. The 41-year-old doctor was diagnosed with mid-to-late-stage breast cancer. Having helped countless patients abroad, the doctor now had to care about her own health.
基金supported by the National Natural Science Foundation of China(Nos.61735001,61575004,and 11027404)。
文摘We demonstrated a divided pulse amplification of burst pulse trains.The intraburst rate is 1 GHz,and the burst rate ranges from 1.5 k Hz to 15 MHz.Under the pump power of 100 W,the burst pulse energy is adjustable from 2.2μJ to 22 mJ.The pulse width of combined and compressed pulses is 275 fs with beam quality M^(2)of 1.2.
基金the support of the China Scholarship Council(Grant No.201806330120)supported by National Natural Science Foundation of China(Grant No.11771090)+1 种基金supported by the National Natural Science Foundation of China(Grants Nos.11971288 and 11771090)Shantou University SRFT(Grant No.NTF18029)。
文摘The growth of meromorphic solutions of linear difference equations containing Askey-Wilson divided difference operators is estimated.Theφ-order is used as a general growth indicator,which covers the growth spectrum between the logarithmic orderρlog(f)and the classical orderρ(f)of a meromorphic function f.
基金This work was supported by the National Science Foundation of China (Grant No.10471128).
文摘The n-divided difference of the composite function h := f o g of functions f, g at a group of nodes t0,t1,…,tn is shown by the combinations of divided differences of f at the group of nodes g(t0),g(t1),…,g(tm) and divided differences of g at several partial group of nodes t0,t1,…,tn, where m = 1,2,…,n. Especially, when the given group of nodes are equal to each other completely, it will lead to Faà di Bruno's formula of higher derivatives of function h.
基金supported by the National Natural Science Foundation of China(Grant No.10471128).
文摘The remainder estimates of numerical divided difference formula are given for the functions of lower and higher smoothness, respectively. Then several divided difference formulas with super-convergence are derived with their remainder expressions.
基金supported by the National Natural Science Foundation of China (No. 50777005)
文摘A new structure of a lateral n-MOST and a new level-shifting structure with multiply metal rings (MMRs) by divided RESURF technique have been proposed. The device and electrical performances of the structure are analyzed and simulated by MEDICI. In comparison to the level-shifting structure with multiply floating field plates (MFFPs) used before, the structure stated here improves the reliability and diminishes the voltage difference between the voltage of the power supply of the high-side gate driver and the voltage of the output terminal of the level-shifting structure, which is also that of the input terminal of the high-side gate driver. The maximal voltage difference of the level-shifting structure in this paper is 30% lower than that used before. Therefore, good voltage isolation and current isolation are obtained. The structure can be used in the level-shifting circuit of various applications.