With the development of the Internet,image encryption technology has become critical for network security.Traditional methods often suffer from issues such as insufficient chaos,low randomness in key generation,and po...With the development of the Internet,image encryption technology has become critical for network security.Traditional methods often suffer from issues such as insufficient chaos,low randomness in key generation,and poor encryption efficiency.To enhance performance,this paper proposes a new encryption algorithm designed to optimize parallel processing and adapt to images of varying sizes and colors.The method begins by using SHA-384 to extract the hash value of the plaintext image,which is then processed to determine the chaotic system’s initial value and block size.The image is padded and divided into blocks for further processing.A novel two-dimensional infinite collapses hyperchaotic map(2DICHM)is employed to generate the intra-block scrambling sequence,while an improved variable Joseph traversal sequence is used for inter-block scrambling.After removing the padding,3D forward and backward shift diffusions,controlled by the 2D-ICHM sequences,are applied to the scrambled image,producing the ciphertext.Simulation results demonstrate that the proposed algorithm outperforms others in terms of entropy,anti-noise resilience,correlation coefficient,robustness,and encryption efficiency.展开更多
The high thermal conductivity of the nanoparticles in hybrid nanofluids results in enhanced thermal conductivity associated with their base fluids.Enhanced heat transfer is a result of this high thermal conductivity,w...The high thermal conductivity of the nanoparticles in hybrid nanofluids results in enhanced thermal conductivity associated with their base fluids.Enhanced heat transfer is a result of this high thermal conductivity,which has significant applications in heat exchangers and engineering devices.To optimize heat transfer,a liquid film of Cu and TiO_(2)hybrid nanofluid behind a stretching sheet in a variable porous medium is being considered due to its importance.The nature of the fluid is considered time-dependent and the thickness of the liquid film is measured variable adjustable with the variable porous space and favorable for the uniform flow of the liquid film.The solution of the problem is acquired using the homotopy analysis method HAM,and the artificial neural network ANN is applied to obtain detailed information in the form of error estimation and validations using the fitting curve analysis.HAM data is utilized to train the ANN in this study,which uses Cu and TiO_(2)hybrid nanofluids in a variable porous space for unsteady thin film flow,and it is used to train the ANN.The results indicate that Cu and TiO_(2)play a greater role in boosting the rate.展开更多
Objective:To investigate the effects of switching to either Prandilin 25R monotherapy or Prandilin 25R combined with ganagliflozin proline tablets after short-term intensive continuous subcutaneous insulin infusion du...Objective:To investigate the effects of switching to either Prandilin 25R monotherapy or Prandilin 25R combined with ganagliflozin proline tablets after short-term intensive continuous subcutaneous insulin infusion during hospitalization in elderly patients with type 2 diabetes mellitus on glycemic control,glycometabolic indicators,and cardiovascular risk factors,and to evaluate the safety of the two regimens.Methods:A total of 78 elderly patients with type 2 diabetes mellitus admitted to our hospital from January 2025 to September 2025 were selected and randomly divided into a control group and an observation group,with 39 cases in each group.The control group received monotherapy with insulin lispro protamine recombinant injection(Prandilin 25R)after intensive continuous subcutaneous insulin infusion,while the observation group received Prandilin 25R combined with ganagliflozin proline tablets.Continuous glucose monitoring(CGM)was performed for 14 days during the intensive continuous subcutaneous insulin infusion therapy phase in the hospital,followed by routine fingertip blood glucose monitoring after 14 days.Glycemic control indicators,glycometabolic indicators,and the incidence of adverse reactions were compared between the two groups.Results:After treatment,the mean amplitude of glycemic excursions and the 24-hour blood glucose standard deviation were significantly lower in the observation group than in the control group,while the time spent within the target blood glucose range was significantly higher(p<0.05).The levels of glycated hemoglobin,fasting blood glucose,and 2-hour postprandial blood glucose were better in the observation group than in the control group;moreover,the body mass index,systolic blood pressure,and blood lipid levels improved more significantly in the observation group than in the control group(p<0.05).There was no statistically significant difference in the incidence of hypoglycemia between the two groups.Conclusion:Combination therapy with ganagliflozin proline tablets after short-term intensive continuous subcutaneous insulin infusion therapy can effectively improve glycemic variability in elderly patients with type 2 diabetes mellitus,with good safety.This suggests that ganagliflozin proline tablets have a hypoglycemic advantage in the combination regimen and possess high clinical promotional value.展开更多
目的:探讨2型糖尿病(T2DM)合并高血压患者应用西格列汀联合硝苯地平与二甲双胍治疗的临床效果。方法:前瞻性选取2023年4月~2024年7月某院接诊的90例T2DM合并高血压患者作为研究对象,采用随机数字表法分为对照组(硝苯地平控释片+盐酸二...目的:探讨2型糖尿病(T2DM)合并高血压患者应用西格列汀联合硝苯地平与二甲双胍治疗的临床效果。方法:前瞻性选取2023年4月~2024年7月某院接诊的90例T2DM合并高血压患者作为研究对象,采用随机数字表法分为对照组(硝苯地平控释片+盐酸二甲双胍片)和观察组(磷酸西格列汀片联合硝苯地平控释片与盐酸二甲双胍片),每组45例。持续用药3个月后,对比两组患者24 h/日间/夜间血压变异性指标[舒张压变异性(DBPV)、收缩压变异性(SBPV)]、血管内皮功能指标[可溶性内皮糖蛋白(sEng)、内皮素(ET)]、左心室质量指数、胰岛素敏感性指标[空腹胰岛素(FINS)、空腹血糖(FPG)、稳态模型评估胰岛素抵抗指数(HOMA-IR)]、临床疗效以及不良反应发生情况。结果:治疗后,两组24 h DBPV、日间DBPV、夜间DBPV、24 h SBPV、日间SBPV、夜间SBPV、FINS、FPG、HOMA-IR、sEng及ET较治疗前均降低(P<0.05),且观察组24 h DBPV、24 h SBPV、日间SBPV、FINS、FPG及HOMA-IR均低于对照组(P<0.05);两组日间DBPV、夜间DBPV、夜间SBPV、sEng、ET及左心室质量指数比较均无统计学差异(P>0.05);观察组临床治疗总有效率(91.11%)高于对照组(75.56%,P<0.05);两组患者不良反应总发生率比较无统计学差异(P>0.05)。结论:西格列汀联合硝苯地平与二甲双胍治疗T2DM合并高血压患者有一定的疗效,能改善患者的血压变异性及胰岛素敏感性指标、血管内皮功能,且不会增加不良反应发生风险。展开更多
Charge characteristics and Cu2+ adsorption-desorption of soils with variable charge (latosol) and permanent charge (brown soil) and the relationship between them were studied by means of back-titration and adsorption ...Charge characteristics and Cu2+ adsorption-desorption of soils with variable charge (latosol) and permanent charge (brown soil) and the relationship between them were studied by means of back-titration and adsorption equilibrium respectively. The amount of variable negative charge was much less in variable-charge soil than in permanent-charge soil and increased with the pH in the system, but the opposite trend occurred in the points of zero charge (PZCs). The amount of Cu2+ ions sorbed by permanent-charge soil was more than that by variable-charge soil and increased with the increase of Cu2+ concentration within a certain range in the equilibrium solution. The amount of Cu2+ ions desorbed with KC1 from permanent-charge soil was more than that from variable-charge soil, but the amount of Cu2+ ions desorbed with de-ionized water from permanent-charge soil was extremely low whereas there was still a certain amount of desorption from variable-charge soil. The increase of PZC of soils with variable or permanent charge varied with the increment of Cu2+ ions added. When the same amount of Cu2+ ions was added, the increments of PZC and variable negative surface charge of permanent-charge soil were different from those of variable-charge soil.展开更多
We study the localized coherent structures ofa generally nonintegrable (2+ 1 )-dimensional KdV equation via a variable separation approach. In a special integrable case, the entrance of some arbitrary functions leads ...We study the localized coherent structures ofa generally nonintegrable (2+ 1 )-dimensional KdV equation via a variable separation approach. In a special integrable case, the entrance of some arbitrary functions leads to abundant coherent structures. However, in the general nonintegrable case, an additional condition has to be introduced for these arbitrary functions. Although the additional condition has been introduced into the solutions of the nonintegrable KdV equation, there still exist many interesting solitary wave structures. Especially, the nonintegrable KdV equation possesses the breather-like localized excitations, and the similar static ring soliton solutions as in the integrable case. Furthermor,in the integrable case, the interaction between two travelling ring solitons is elastic, while in the nonintegrable case we cannot find even the single travelling ring soliton solution.展开更多
Trailing-edge flap is traditionally used to improve the takeoff and landing aerodynamic performance of aircraft.In order to improve flight efficiency during takeoff,cruise and landing states,the flexible variable camb...Trailing-edge flap is traditionally used to improve the takeoff and landing aerodynamic performance of aircraft.In order to improve flight efficiency during takeoff,cruise and landing states,the flexible variable camber trailing-edge flap is introduced,capable of changing its shape smoothly from 50% flap chord to the rear of the flap.Using a numerical simulation method for the case of the GA（W）-2 airfoil,the multi-objective optimization of the overlap,gap,deflection angle,and bending angle of the flap under takeoff and landing configurations is studied.The optimization results show that under takeoff configuration,the variable camber trailing-edge flap can increase lift coefficient by about 8% and lift-to-drag ratio by about 7% compared with the traditional flap at a takeoff angle of 8°.Under landing configuration,the flap can improve the lift coefficient at a stall angle of attack about 1.3%.Under cruise state,the flap helps to improve the lift-todrag ratio over a wide range of lift coefficients,and the maximum increment is about 30%.Finally,a corrugated structure–eccentric beam combination bending mechanism is introduced in this paper to bend the flap by rotating the eccentric beam.展开更多
A new technique for studying the adsorption kinetics of heavy metals,Pb^2+ and Cu^2+,on variable charge surfaces was established with two selective electrodes and microcomputer control system.Feasibility of the techni...A new technique for studying the adsorption kinetics of heavy metals,Pb^2+ and Cu^2+,on variable charge surfaces was established with two selective electrodes and microcomputer control system.Feasibility of the technique,including interference of other ions (mainly Fe^3+ and Al^3+),response time of electrodes,and the pH range of testing,was studied.Comparision with the most widely used miscible displacement technique,which was considered insufficient in studying 30-minute rapid reactions,at present time showed that the new technique was more advantageous in testing in situ,easy to operate,and economic.展开更多
A method is proposed to deal with the uncertain multiple attribute group decision making problems,where 2-dimension uncertain linguistic variables(2DULVs)are used as the reliable way for the experts to express their f...A method is proposed to deal with the uncertain multiple attribute group decision making problems,where 2-dimension uncertain linguistic variables(2DULVs)are used as the reliable way for the experts to express their fuzzy subjective evaluation information.Firstly,in order to measure the 2DULVs more accurately,a new method is proposed to compare two 2DULVs,called a score function,while a new function is defined to measure the distance between two 2DULVs.Secondly,two optimization models are established to determine the weight of experts and attributes based on the new distance formula and a weighted average operator is used to determine the comprehensive evaluation value of each alternative.Then,a score function is used to determine the ranking of the alternatives.Finally,the effectiveness of the proposed method is proved by an illustrated example.展开更多
The adsorption kinetics of Pb^2+ on different soils and minerals with variable charges was studied by the two ion-selective electrode technique at different pH and concentrations.The results showed that more than 95% ...The adsorption kinetics of Pb^2+ on different soils and minerals with variable charges was studied by the two ion-selective electrode technique at different pH and concentrations.The results showed that more than 95% of adsorption on all the samples occurred during the first 5 minutes.All adsorption time-dependent data could fit the surface second-order equation very well.The values of Xm were goethite>kaolinite,and latosol>red soil at the same initial reaction concentration.The values of k were kaolinite>>goethite,and latosol>red soil at the same reaction pH and initial concentration.The higher the suspension pH,the faster the adsorption occurred.The meaning of Xm got by the two ion-selective electrode technique(one kind of batch technique) was different from that by the miscible displacement technique in that the former was only the equilibrium adsorption amount at a definite concentration and pH,but the latter was almost equal to the adsorption capacity at a definite pH with much less influence of concentration.One Pb^2+ was supposed to occupy two adsorption sites as the adsorption mechanism is concerned.展开更多
Based on the closed connections among the homogeneous balance （HB） method and Clarkson-KruSkal （CK） method, we study the similarity reductions of the generalized variable coefficients 2D KdV equation. In the meant...Based on the closed connections among the homogeneous balance （HB） method and Clarkson-KruSkal （CK） method, we study the similarity reductions of the generalized variable coefficients 2D KdV equation. In the meantime it is shown that this leads to a direct reduction in the form of ordinary differential equation under some integrability conditions between the variable coefficients. Two different cases have been discussed, the search for solutions of those ordinary differential equations yielded many exact travelling and solitonic wave solutions in the form of hyperbolic and trigonometric functions under some constraints between the variable coefficients.展开更多
By introducing a more general auxiliary ordinary differential equation （ODE）, a modified variable separated ordinary differential equation method is presented for solving the （2 ＋ 1）-dimensional sine-Poisson equa...By introducing a more general auxiliary ordinary differential equation （ODE）, a modified variable separated ordinary differential equation method is presented for solving the （2 ＋ 1）-dimensional sine-Poisson equation. As a result, many explicit and exact solutions of the （2 ＋ 1）-dimensional sine-Poisson equation are derived in a simple manner by this technique.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.62105004 and 52174141)the College Student Innovation and Entrepreneurship Fund Project(Grant No.202210361053)+4 种基金Anhui Mining Machinery and Electrical Equipment Coordination Innovation Center,Anhui University of Science&Technology(Grant No.KSJD202304)the Anhui Province Digital Agricultural Engineering Technology Research Center Open Project(Grant No.AHSZNYGC-ZXKF021)the Talent Recruitment Special Fund of Anhui University of Science and Technology(Grant No.2024yjrc175)the Graduate Innovation Fund Project of Anhui University of Science and Technology(Grant Nos.2024cx2067,2024cx2107,and 2024cx2064)Seed Support Project for Postgraduate Innovation,Entrepreneurship and Practice at Anhui University of Science and Technology(Grant No.2024cxcysj084).
文摘With the development of the Internet,image encryption technology has become critical for network security.Traditional methods often suffer from issues such as insufficient chaos,low randomness in key generation,and poor encryption efficiency.To enhance performance,this paper proposes a new encryption algorithm designed to optimize parallel processing and adapt to images of varying sizes and colors.The method begins by using SHA-384 to extract the hash value of the plaintext image,which is then processed to determine the chaotic system’s initial value and block size.The image is padded and divided into blocks for further processing.A novel two-dimensional infinite collapses hyperchaotic map(2DICHM)is employed to generate the intra-block scrambling sequence,while an improved variable Joseph traversal sequence is used for inter-block scrambling.After removing the padding,3D forward and backward shift diffusions,controlled by the 2D-ICHM sequences,are applied to the scrambled image,producing the ciphertext.Simulation results demonstrate that the proposed algorithm outperforms others in terms of entropy,anti-noise resilience,correlation coefficient,robustness,and encryption efficiency.
文摘The high thermal conductivity of the nanoparticles in hybrid nanofluids results in enhanced thermal conductivity associated with their base fluids.Enhanced heat transfer is a result of this high thermal conductivity,which has significant applications in heat exchangers and engineering devices.To optimize heat transfer,a liquid film of Cu and TiO_(2)hybrid nanofluid behind a stretching sheet in a variable porous medium is being considered due to its importance.The nature of the fluid is considered time-dependent and the thickness of the liquid film is measured variable adjustable with the variable porous space and favorable for the uniform flow of the liquid film.The solution of the problem is acquired using the homotopy analysis method HAM,and the artificial neural network ANN is applied to obtain detailed information in the form of error estimation and validations using the fitting curve analysis.HAM data is utilized to train the ANN in this study,which uses Cu and TiO_(2)hybrid nanofluids in a variable porous space for unsteady thin film flow,and it is used to train the ANN.The results indicate that Cu and TiO_(2)play a greater role in boosting the rate.
文摘Objective:To investigate the effects of switching to either Prandilin 25R monotherapy or Prandilin 25R combined with ganagliflozin proline tablets after short-term intensive continuous subcutaneous insulin infusion during hospitalization in elderly patients with type 2 diabetes mellitus on glycemic control,glycometabolic indicators,and cardiovascular risk factors,and to evaluate the safety of the two regimens.Methods:A total of 78 elderly patients with type 2 diabetes mellitus admitted to our hospital from January 2025 to September 2025 were selected and randomly divided into a control group and an observation group,with 39 cases in each group.The control group received monotherapy with insulin lispro protamine recombinant injection(Prandilin 25R)after intensive continuous subcutaneous insulin infusion,while the observation group received Prandilin 25R combined with ganagliflozin proline tablets.Continuous glucose monitoring(CGM)was performed for 14 days during the intensive continuous subcutaneous insulin infusion therapy phase in the hospital,followed by routine fingertip blood glucose monitoring after 14 days.Glycemic control indicators,glycometabolic indicators,and the incidence of adverse reactions were compared between the two groups.Results:After treatment,the mean amplitude of glycemic excursions and the 24-hour blood glucose standard deviation were significantly lower in the observation group than in the control group,while the time spent within the target blood glucose range was significantly higher(p<0.05).The levels of glycated hemoglobin,fasting blood glucose,and 2-hour postprandial blood glucose were better in the observation group than in the control group;moreover,the body mass index,systolic blood pressure,and blood lipid levels improved more significantly in the observation group than in the control group(p<0.05).There was no statistically significant difference in the incidence of hypoglycemia between the two groups.Conclusion:Combination therapy with ganagliflozin proline tablets after short-term intensive continuous subcutaneous insulin infusion therapy can effectively improve glycemic variability in elderly patients with type 2 diabetes mellitus,with good safety.This suggests that ganagliflozin proline tablets have a hypoglycemic advantage in the combination regimen and possess high clinical promotional value.
文摘目的:探讨2型糖尿病(T2DM)合并高血压患者应用西格列汀联合硝苯地平与二甲双胍治疗的临床效果。方法:前瞻性选取2023年4月~2024年7月某院接诊的90例T2DM合并高血压患者作为研究对象,采用随机数字表法分为对照组(硝苯地平控释片+盐酸二甲双胍片)和观察组(磷酸西格列汀片联合硝苯地平控释片与盐酸二甲双胍片),每组45例。持续用药3个月后,对比两组患者24 h/日间/夜间血压变异性指标[舒张压变异性(DBPV)、收缩压变异性(SBPV)]、血管内皮功能指标[可溶性内皮糖蛋白(sEng)、内皮素(ET)]、左心室质量指数、胰岛素敏感性指标[空腹胰岛素(FINS)、空腹血糖(FPG)、稳态模型评估胰岛素抵抗指数(HOMA-IR)]、临床疗效以及不良反应发生情况。结果:治疗后,两组24 h DBPV、日间DBPV、夜间DBPV、24 h SBPV、日间SBPV、夜间SBPV、FINS、FPG、HOMA-IR、sEng及ET较治疗前均降低(P<0.05),且观察组24 h DBPV、24 h SBPV、日间SBPV、FINS、FPG及HOMA-IR均低于对照组(P<0.05);两组日间DBPV、夜间DBPV、夜间SBPV、sEng、ET及左心室质量指数比较均无统计学差异(P>0.05);观察组临床治疗总有效率(91.11%)高于对照组(75.56%,P<0.05);两组患者不良反应总发生率比较无统计学差异(P>0.05)。结论:西格列汀联合硝苯地平与二甲双胍治疗T2DM合并高血压患者有一定的疗效,能改善患者的血压变异性及胰岛素敏感性指标、血管内皮功能,且不会增加不良反应发生风险。
文摘目的探讨二甲双胍联合度拉糖肽对肥胖2型糖尿病(type 2 diabetes mellitus,T2DM)患者血糖变异、胰岛素抵抗及三酰甘油-葡萄糖指数(triglyceride-glucose index,TyG)、内脏脂肪指数(visceral adiposity index,VAI)的影响。方法选取2021年5月—2024年5月收治的肥胖T2DM患者110例作为研究对象,根据随机数字表法分为2组,每组55例。对照组采用盐酸二甲双胍片治疗,观察组在对照组治疗的基础上联合度拉糖肽治疗,2组均连续治疗3个月。比较2组治疗前、治疗后的血糖变异性[平均血糖波动幅度(mean amplitude of glucose excursion,MAGE)、日间血糖平均绝对差(absolute means of daily differences,MODD)、血糖变异系数(glucose variability expressed as coefficient of variation,CV)]、胰岛素抵抗、空腹血糖(fasting blood glucose,FBG)、三酰甘油(triglyceride,TG)、TyG、内脏脂肪(内脏脂肪面积、VAI)水平以及不良反应发生率。结果治疗后观察组的MAGE、MODD、CV水平均低于对照组(P<0.05);治疗后观察组的空腹血浆胰岛素、胰岛素抵抗指数水平均低于对照组,胰岛β细胞指数水平高于对照组(P<0.05);治疗后观察组的FBG、TG、TyG水平均低于对照组(P<0.05);治疗后观察组的内脏脂肪面积、VAI水平均低于对照组(P<0.05);2组不良反应发生率比较差异无统计学意义(P>0.05)。结论度拉糖肽对肥胖T2DM患者的临床应用价值较高,可降低患者的血糖水平,减少机体的血糖波动,同时改善患者的胰岛素抵抗情况,并可促进患者内脏脂肪水平的降低,且安全性较高,值得临床推广和应用。
基金Project (Nos.49831005 and 49871043) supported by the National Natural Science Foundation of China.
文摘Charge characteristics and Cu2+ adsorption-desorption of soils with variable charge (latosol) and permanent charge (brown soil) and the relationship between them were studied by means of back-titration and adsorption equilibrium respectively. The amount of variable negative charge was much less in variable-charge soil than in permanent-charge soil and increased with the pH in the system, but the opposite trend occurred in the points of zero charge (PZCs). The amount of Cu2+ ions sorbed by permanent-charge soil was more than that by variable-charge soil and increased with the increase of Cu2+ concentration within a certain range in the equilibrium solution. The amount of Cu2+ ions desorbed with KC1 from permanent-charge soil was more than that from variable-charge soil, but the amount of Cu2+ ions desorbed with de-ionized water from permanent-charge soil was extremely low whereas there was still a certain amount of desorption from variable-charge soil. The increase of PZC of soils with variable or permanent charge varied with the increment of Cu2+ ions added. When the same amount of Cu2+ ions was added, the increments of PZC and variable negative surface charge of permanent-charge soil were different from those of variable-charge soil.
文摘We study the localized coherent structures ofa generally nonintegrable (2+ 1 )-dimensional KdV equation via a variable separation approach. In a special integrable case, the entrance of some arbitrary functions leads to abundant coherent structures. However, in the general nonintegrable case, an additional condition has to be introduced for these arbitrary functions. Although the additional condition has been introduced into the solutions of the nonintegrable KdV equation, there still exist many interesting solitary wave structures. Especially, the nonintegrable KdV equation possesses the breather-like localized excitations, and the similar static ring soliton solutions as in the integrable case. Furthermor,in the integrable case, the interaction between two travelling ring solitons is elastic, while in the nonintegrable case we cannot find even the single travelling ring soliton solution.
文摘Trailing-edge flap is traditionally used to improve the takeoff and landing aerodynamic performance of aircraft.In order to improve flight efficiency during takeoff,cruise and landing states,the flexible variable camber trailing-edge flap is introduced,capable of changing its shape smoothly from 50% flap chord to the rear of the flap.Using a numerical simulation method for the case of the GA（W）-2 airfoil,the multi-objective optimization of the overlap,gap,deflection angle,and bending angle of the flap under takeoff and landing configurations is studied.The optimization results show that under takeoff configuration,the variable camber trailing-edge flap can increase lift coefficient by about 8% and lift-to-drag ratio by about 7% compared with the traditional flap at a takeoff angle of 8°.Under landing configuration,the flap can improve the lift coefficient at a stall angle of attack about 1.3%.Under cruise state,the flap helps to improve the lift-todrag ratio over a wide range of lift coefficients,and the maximum increment is about 30%.Finally,a corrugated structure–eccentric beam combination bending mechanism is introduced in this paper to bend the flap by rotating the eccentric beam.
基金Project supported by the National Naturai Science Foundation of China
文摘A new technique for studying the adsorption kinetics of heavy metals,Pb^2+ and Cu^2+,on variable charge surfaces was established with two selective electrodes and microcomputer control system.Feasibility of the technique,including interference of other ions (mainly Fe^3+ and Al^3+),response time of electrodes,and the pH range of testing,was studied.Comparision with the most widely used miscible displacement technique,which was considered insufficient in studying 30-minute rapid reactions,at present time showed that the new technique was more advantageous in testing in situ,easy to operate,and economic.
基金This work was supported by the Natural Science Foundation of Liaoning Province(2013020022).
文摘A method is proposed to deal with the uncertain multiple attribute group decision making problems,where 2-dimension uncertain linguistic variables(2DULVs)are used as the reliable way for the experts to express their fuzzy subjective evaluation information.Firstly,in order to measure the 2DULVs more accurately,a new method is proposed to compare two 2DULVs,called a score function,while a new function is defined to measure the distance between two 2DULVs.Secondly,two optimization models are established to determine the weight of experts and attributes based on the new distance formula and a weighted average operator is used to determine the comprehensive evaluation value of each alternative.Then,a score function is used to determine the ranking of the alternatives.Finally,the effectiveness of the proposed method is proved by an illustrated example.
基金Project supported by the National Natural Science Foundation of China.
文摘The adsorption kinetics of Pb^2+ on different soils and minerals with variable charges was studied by the two ion-selective electrode technique at different pH and concentrations.The results showed that more than 95% of adsorption on all the samples occurred during the first 5 minutes.All adsorption time-dependent data could fit the surface second-order equation very well.The values of Xm were goethite>kaolinite,and latosol>red soil at the same initial reaction concentration.The values of k were kaolinite>>goethite,and latosol>red soil at the same reaction pH and initial concentration.The higher the suspension pH,the faster the adsorption occurred.The meaning of Xm got by the two ion-selective electrode technique(one kind of batch technique) was different from that by the miscible displacement technique in that the former was only the equilibrium adsorption amount at a definite concentration and pH,but the latter was almost equal to the adsorption capacity at a definite pH with much less influence of concentration.One Pb^2+ was supposed to occupy two adsorption sites as the adsorption mechanism is concerned.
文摘Based on the closed connections among the homogeneous balance （HB） method and Clarkson-KruSkal （CK） method, we study the similarity reductions of the generalized variable coefficients 2D KdV equation. In the meantime it is shown that this leads to a direct reduction in the form of ordinary differential equation under some integrability conditions between the variable coefficients. Two different cases have been discussed, the search for solutions of those ordinary differential equations yielded many exact travelling and solitonic wave solutions in the form of hyperbolic and trigonometric functions under some constraints between the variable coefficients.
基金Project supported by the National Natural Science Foundation of China (Grant No. 10672053)
文摘By introducing a more general auxiliary ordinary differential equation （ODE）, a modified variable separated ordinary differential equation method is presented for solving the （2 ＋ 1）-dimensional sine-Poisson equation. As a result, many explicit and exact solutions of the （2 ＋ 1）-dimensional sine-Poisson equation are derived in a simple manner by this technique.
