In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better...In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better estimation for permuting tri-homomorphisms and permuting tri-derivations in unital C*-algebras and Banach algebras by the vector-valued alternative fixed point theorem.展开更多
The object of this article is to study and develop the generalized fractional calcu- lus operators given by Saigo and Maeda in 1996. We establish generalized fractional calculus formulas involving the product of R-fun...The object of this article is to study and develop the generalized fractional calcu- lus operators given by Saigo and Maeda in 1996. We establish generalized fractional calculus formulas involving the product of R-function, Appell function F3 and a general class of poly- nomials. The results obtained provide unification and extension of the results given by Saxena et al. [13], Srivastava and Grag [17], Srivastava et al. [20], and etc. The results are obtained in compact form and are useful in preparing some tables of operators of fractional calculus. On account of the general nature of the Saigo-Maeda operators, R-function, and a general class of polynomials a large number of new and known results involving Saigo fractional calculus operators and several special functions notably H-function, /-function, Mittag-Leffier function, generalized Wright hypergeometric function, generalized Bessel-Maitland function follow as special cases of our main findings.展开更多
To better understand the role of the-NH_(2)group in adsorption process of phenolic wastewaters,NH_(2)-functionalized MIL-53(Al)composites with activated carbon(NH_(2)-M(Al)@(B)AC)were prepared.The results showed that ...To better understand the role of the-NH_(2)group in adsorption process of phenolic wastewaters,NH_(2)-functionalized MIL-53(Al)composites with activated carbon(NH_(2)-M(Al)@(B)AC)were prepared.The results showed that the-NH_(2)group could increase the mesopore volume for composites,which promotes mass transfer and full utilization of active sites,because hierarchical mesopore structure makes the adsorbent easier to enter the internal adsorption sites.Furthermore,the introduction of the-NH_(2)group can improve the adsorption capacity,decrease the activation energy,and enhance the interaction between the adsorbent and p-nitrophenol,demonstrating that the-NH_(2)group plays a crucial role in the adsorption of p-nitrophenol.The density functional theory calculation results show that the H-bond interaction between the-NH_(2)group in the adsorbent and the-NO_(2)in the p-nitrophenol(adsorption energy of -35.5 kJ·mol^(-1)),and base-acid interaction between the primary-NH_(2)group in the adsorbent and the acidic-OH group in the p-nitrophenol(adsorption energy of -27.3 kJ·mol^(-1))are predominant mechanisms for adsorption in terms of the NH_(2)-functionalized adsorbent.Both NH_(2)-functionalized M(Al)@AC and M(Al)@BAC composites exhibited higher p-nitrophenol adsorption capacity than corresponding nonfunctionalized composites.Among the composites,the NH_(2)-M(Al)@BAC had the highest p-nitrophenol adsorption capacity of 474 mg·g^(-1).展开更多
Humic acid(HA)was carbonized at 300,400 and 500℃ and then functionalized with 1 wt%–12 wt%Fe(Ⅲ)respectively[CHA300/400/500-Fe(Ⅲ)].Adsorption of such Fe(III)-functionalized carbonized HA as adsorbents to aqueous te...Humic acid(HA)was carbonized at 300,400 and 500℃ and then functionalized with 1 wt%–12 wt%Fe(Ⅲ)respectively[CHA300/400/500-Fe(Ⅲ)].Adsorption of such Fe(III)-functionalized carbonized HA as adsorbents to aqueous tetracycline(TC:25 mg·L^-1)was studied.The adsorption equilibrium time for CHA400-Fe(Ⅲ)to TC was 6 h faster and the adsorption removal efficiency(Re)was two times higher than that of HA/CHA.The adsorption Reof CHA400-Fe(Ⅲ)loaded 10%iron[CHA400-(10%)Fe(Ⅲ)]to TC could reach 99.8%at 8 h and still kept80.6%after 8 cycles.The adsorption kinetics were well fitted to the pseudo-second-order equation and the adsorption isotherms could be well delineated via Langmuir equations(R^2N 0.99),indicating that the homogeneous chemical adsorption of TC occurred on the adsorbents.The main adsorption mechanisms of TC were complexation Fe(III)and hydrophobic distribution.Electropositive and electronegative repulsion between TC and CHA400-(10%)Fe(Ⅲ)at lowly p H(2)and highly p H(8–10)respectively,leaded to the relatively low adsorption capacity and more notable influence of ion concentration.When the p H was between 4 and 8,TC mainly existed in neutral molecules(TCH2),so the influence of ion concentration was not obvious.The dynamic adsorption results showed that the CHA400-(10%)Fe(Ⅲ)could continuously treat about 2.4 L TC(27 mg·L^-1)wastewater with the effluent concentration as low as 0.068 mg·L^-1.Our study suggested a broad application prospect of a new,effective,lowcost and environment-friendly adsorbent CHA400-(10%)Fe(Ⅲ)for treatment of low-concentration TC polluted wastewater.展开更多
Cubic equations of state(EOSs) are simple and easy at calculation. One way of improving the accuracy of a cubic EOS is through the modification of temperature-dependent energy parameter by using alpha-function.The ind...Cubic equations of state(EOSs) are simple and easy at calculation. One way of improving the accuracy of a cubic EOS is through the modification of temperature-dependent energy parameter by using alpha-function.The industrial applications of natural gas are very wide and as a result, prediction of thermodynamic properties and phase behavior of natural gas is an important part of design for such processes. In this work we develop a newα-function for the Peng-Robinson(PR) EOS with the parameters optimized especially for natural gas components.The parameters are generalized as a linear function of acentric factor. The results are compared to the predictions from original PR EOS and other α-functions in literature. It is shown that the new α-function presents a good accuracy with the average deviation of 1.42% for natural gas components.展开更多
We consider the harmonic analysis associated with the Dunkl operators on Rd. We study the Dunkl mean-periodic functions on the space ε(Rd) (the space of C∞-functions). We characterize also the continuous linear mapp...We consider the harmonic analysis associated with the Dunkl operators on Rd. We study the Dunkl mean-periodic functions on the space ε(Rd) (the space of C∞-functions). We characterize also the continuous linear mappings from ε(Rd) into itself which commute with the Dunkl operators.展开更多
目的利用静息态功能MRI探讨δ-连环蛋白(catenin)不同表达状态的乳腺癌患者采用蒽环联合环磷酰胺(anthracyclines cyclophosphamide,AC)化疗方案2个周期后的脑认知功能改变。材料与方法前瞻性收集66例经病理证实乳腺癌并首次进行标准化...目的利用静息态功能MRI探讨δ-连环蛋白(catenin)不同表达状态的乳腺癌患者采用蒽环联合环磷酰胺(anthracyclines cyclophosphamide,AC)化疗方案2个周期后的脑认知功能改变。材料与方法前瞻性收集66例经病理证实乳腺癌并首次进行标准化化疗患者,根据组织血清δ-catenin水平,分为δ-catenin高表达组31例和低表达组35例,同时收集健康对照(healthy control,HC)组36例。所有受试者在化疗前及2个化疗周期后进行神经心理学评分并行脑静息态功能MRI、3D-T1加权成像,分析脑静息态功能MRI指标,包括低频振幅(amplitude of low frequency fluctuation,ALFF)值、分数低频振幅(fractional amplitude of low frequency fluctuation,fALFF)值、局部一致性(regional homogeneity,ReHo)值,并对患者化疗前后神经心理学评分以及脑静息态功能MRI指标进行对比分析。结果化疗前δ-catenin高表达组人表皮生长因子受体2(human epidermal growth factor receptor 2,HER-2)显著高于低表达组,差异有统计学意义(P<0.05)。乳腺癌患者化疗前后神经心理学评分显示,δ-catenin高表达组患者化疗后癌症治疗认知功能评估(Functional Assessment of Cancer Therapy-Cognitive,FACT-Cog)总分、感知认知能力(Perceived Cognitive Abilities,PCA)、简易智力状态检查评分(Mini Mental State Examination,MMSE)、蒙特利尔认知评估评分(Montreal Cognitive Assessment,MOCA)、数字符号转化测验(Digital Symbol Substitution Test,DSST)以及中文听觉词语学习测验(Auditory Verbal Learning Test,AVLT)、数字连线实验B(Line-B)评分较化疗前差异有统计学意义,而低表达组只有AVLT-长时记忆(AVLT-long)评分差异有统计学意义(P均<0.05)。与化疗前相比,化疗2周期后部分脑区ALFF及ReHo值改变差异有统计学意义(P<0.05)。δ-catenin低表达组患者化疗后右侧前扣带和旁扣带脑回ALFF值下降,而δ-catenin高表达组右侧小脑半球4-5区、双侧脑岛、左侧舌回化疗后ALFF值下降。ReHo指标中,δ-catenin低表达组患者化疗后左侧眶部额下回ReHo值下降;而δ-catenin高表达组则左侧缘上回、左侧三角部额下回ReHo值下降(P均<0.05)。结论δ-catenin高表达进一步加重化疗对乳腺癌患者脑认知功能的损伤,主要涉及执行认知功能调控等相关脑区。展开更多
基金partially supported by the Natural Sciences and Engineering Research Council of Canada(2019-03907)。
文摘In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better estimation for permuting tri-homomorphisms and permuting tri-derivations in unital C*-algebras and Banach algebras by the vector-valued alternative fixed point theorem.
基金NBHM Department of Atomic Energy,Government of India,Mumbai for the finanicai assistance under PDF sanction no.2/40(37)/2014/R&D-II/14131
文摘The object of this article is to study and develop the generalized fractional calcu- lus operators given by Saigo and Maeda in 1996. We establish generalized fractional calculus formulas involving the product of R-function, Appell function F3 and a general class of poly- nomials. The results obtained provide unification and extension of the results given by Saxena et al. [13], Srivastava and Grag [17], Srivastava et al. [20], and etc. The results are obtained in compact form and are useful in preparing some tables of operators of fractional calculus. On account of the general nature of the Saigo-Maeda operators, R-function, and a general class of polynomials a large number of new and known results involving Saigo fractional calculus operators and several special functions notably H-function, /-function, Mittag-Leffier function, generalized Wright hypergeometric function, generalized Bessel-Maitland function follow as special cases of our main findings.
基金supported by the National Natural Science Foundation of China(22008134)。
文摘To better understand the role of the-NH_(2)group in adsorption process of phenolic wastewaters,NH_(2)-functionalized MIL-53(Al)composites with activated carbon(NH_(2)-M(Al)@(B)AC)were prepared.The results showed that the-NH_(2)group could increase the mesopore volume for composites,which promotes mass transfer and full utilization of active sites,because hierarchical mesopore structure makes the adsorbent easier to enter the internal adsorption sites.Furthermore,the introduction of the-NH_(2)group can improve the adsorption capacity,decrease the activation energy,and enhance the interaction between the adsorbent and p-nitrophenol,demonstrating that the-NH_(2)group plays a crucial role in the adsorption of p-nitrophenol.The density functional theory calculation results show that the H-bond interaction between the-NH_(2)group in the adsorbent and the-NO_(2)in the p-nitrophenol(adsorption energy of -35.5 kJ·mol^(-1)),and base-acid interaction between the primary-NH_(2)group in the adsorbent and the acidic-OH group in the p-nitrophenol(adsorption energy of -27.3 kJ·mol^(-1))are predominant mechanisms for adsorption in terms of the NH_(2)-functionalized adsorbent.Both NH_(2)-functionalized M(Al)@AC and M(Al)@BAC composites exhibited higher p-nitrophenol adsorption capacity than corresponding nonfunctionalized composites.Among the composites,the NH_(2)-M(Al)@BAC had the highest p-nitrophenol adsorption capacity of 474 mg·g^(-1).
基金financially supported by the National Natural Science Foundation of China(No.51641209)。
文摘Humic acid(HA)was carbonized at 300,400 and 500℃ and then functionalized with 1 wt%–12 wt%Fe(Ⅲ)respectively[CHA300/400/500-Fe(Ⅲ)].Adsorption of such Fe(III)-functionalized carbonized HA as adsorbents to aqueous tetracycline(TC:25 mg·L^-1)was studied.The adsorption equilibrium time for CHA400-Fe(Ⅲ)to TC was 6 h faster and the adsorption removal efficiency(Re)was two times higher than that of HA/CHA.The adsorption Reof CHA400-Fe(Ⅲ)loaded 10%iron[CHA400-(10%)Fe(Ⅲ)]to TC could reach 99.8%at 8 h and still kept80.6%after 8 cycles.The adsorption kinetics were well fitted to the pseudo-second-order equation and the adsorption isotherms could be well delineated via Langmuir equations(R^2N 0.99),indicating that the homogeneous chemical adsorption of TC occurred on the adsorbents.The main adsorption mechanisms of TC were complexation Fe(III)and hydrophobic distribution.Electropositive and electronegative repulsion between TC and CHA400-(10%)Fe(Ⅲ)at lowly p H(2)and highly p H(8–10)respectively,leaded to the relatively low adsorption capacity and more notable influence of ion concentration.When the p H was between 4 and 8,TC mainly existed in neutral molecules(TCH2),so the influence of ion concentration was not obvious.The dynamic adsorption results showed that the CHA400-(10%)Fe(Ⅲ)could continuously treat about 2.4 L TC(27 mg·L^-1)wastewater with the effluent concentration as low as 0.068 mg·L^-1.Our study suggested a broad application prospect of a new,effective,lowcost and environment-friendly adsorbent CHA400-(10%)Fe(Ⅲ)for treatment of low-concentration TC polluted wastewater.
文摘Cubic equations of state(EOSs) are simple and easy at calculation. One way of improving the accuracy of a cubic EOS is through the modification of temperature-dependent energy parameter by using alpha-function.The industrial applications of natural gas are very wide and as a result, prediction of thermodynamic properties and phase behavior of natural gas is an important part of design for such processes. In this work we develop a newα-function for the Peng-Robinson(PR) EOS with the parameters optimized especially for natural gas components.The parameters are generalized as a linear function of acentric factor. The results are compared to the predictions from original PR EOS and other α-functions in literature. It is shown that the new α-function presents a good accuracy with the average deviation of 1.42% for natural gas components.
文摘We consider the harmonic analysis associated with the Dunkl operators on Rd. We study the Dunkl mean-periodic functions on the space ε(Rd) (the space of C∞-functions). We characterize also the continuous linear mappings from ε(Rd) into itself which commute with the Dunkl operators.
文摘目的利用静息态功能MRI探讨δ-连环蛋白(catenin)不同表达状态的乳腺癌患者采用蒽环联合环磷酰胺(anthracyclines cyclophosphamide,AC)化疗方案2个周期后的脑认知功能改变。材料与方法前瞻性收集66例经病理证实乳腺癌并首次进行标准化化疗患者,根据组织血清δ-catenin水平,分为δ-catenin高表达组31例和低表达组35例,同时收集健康对照(healthy control,HC)组36例。所有受试者在化疗前及2个化疗周期后进行神经心理学评分并行脑静息态功能MRI、3D-T1加权成像,分析脑静息态功能MRI指标,包括低频振幅(amplitude of low frequency fluctuation,ALFF)值、分数低频振幅(fractional amplitude of low frequency fluctuation,fALFF)值、局部一致性(regional homogeneity,ReHo)值,并对患者化疗前后神经心理学评分以及脑静息态功能MRI指标进行对比分析。结果化疗前δ-catenin高表达组人表皮生长因子受体2(human epidermal growth factor receptor 2,HER-2)显著高于低表达组,差异有统计学意义(P<0.05)。乳腺癌患者化疗前后神经心理学评分显示,δ-catenin高表达组患者化疗后癌症治疗认知功能评估(Functional Assessment of Cancer Therapy-Cognitive,FACT-Cog)总分、感知认知能力(Perceived Cognitive Abilities,PCA)、简易智力状态检查评分(Mini Mental State Examination,MMSE)、蒙特利尔认知评估评分(Montreal Cognitive Assessment,MOCA)、数字符号转化测验(Digital Symbol Substitution Test,DSST)以及中文听觉词语学习测验(Auditory Verbal Learning Test,AVLT)、数字连线实验B(Line-B)评分较化疗前差异有统计学意义,而低表达组只有AVLT-长时记忆(AVLT-long)评分差异有统计学意义(P均<0.05)。与化疗前相比,化疗2周期后部分脑区ALFF及ReHo值改变差异有统计学意义(P<0.05)。δ-catenin低表达组患者化疗后右侧前扣带和旁扣带脑回ALFF值下降,而δ-catenin高表达组右侧小脑半球4-5区、双侧脑岛、左侧舌回化疗后ALFF值下降。ReHo指标中,δ-catenin低表达组患者化疗后左侧眶部额下回ReHo值下降;而δ-catenin高表达组则左侧缘上回、左侧三角部额下回ReHo值下降(P均<0.05)。结论δ-catenin高表达进一步加重化疗对乳腺癌患者脑认知功能的损伤,主要涉及执行认知功能调控等相关脑区。
