Clifford analysis is an important branch of modern analysis;it has a very important theoretical significance and application value,and its conclusions can be applied to the Maxwell equation,Yang-Mill field theory,quan...Clifford analysis is an important branch of modern analysis;it has a very important theoretical significance and application value,and its conclusions can be applied to the Maxwell equation,Yang-Mill field theory,quantum mechanics and value problems.In this paper,we first give the definition of a quasi-Cauchy type integral in complex Clifford analysis,and get the Plemelj formula for it.Second,we discuss the H?lder continuity for the Cauchy-type integral operators with values in a complex Clifford algebra.Finally,we prove the existence of solutions for a class of linear boundary value problems and give the integral representation for the solution.展开更多
Objective:This paper aims to investigate the value of individualized care for critically ill patients receiving continuous blood purification therapy.Methods:89 cases of critically ill patients who were treated from J...Objective:This paper aims to investigate the value of individualized care for critically ill patients receiving continuous blood purification therapy.Methods:89 cases of critically ill patients who were treated from June 2021 to June 2023 were randomly divided into groups,with individualized care in group A and routine care in group B.The differences in clinical indicators,purification effect,quality of life,and complications of blood purification were compared between the groups.Results:Heart rate,respiration,body temperature,and other indicators in group A were better than those in group B,P<0.05.C-reactive protein(CRP),β2-microglobulin(β2-MG),blood urea nitrogen(BUN),and phosphorus(P)in group A were lower than those in group B,P<0.05.Group A had higher quality of life than Group B,P<0.05.The complication rate of blood purification in Group A was lower than that in Group B,P<0.05.Conclusion:During continuous blood purification in critically ill patients,individualized nursing intervention can enhance the effect of blood purification,improve the physiological indicators of patients,and reduce the complications of blood purification,which is highly effective and feasible.展开更多
Based on the social influence theory,the influence of virtual brand community members’perceived value on social influencing factors is discussed,and the influence of social influencing factors on virtual brand commun...Based on the social influence theory,the influence of virtual brand community members’perceived value on social influencing factors is discussed,and the influence of social influencing factors on virtual brand community members’continuous participation in decision-making is analyzed.Through an empirical analysis of the survey data of Xiaomi users in the Xiaomi Community,the results showed that the perceived value of virtual brand community members significantly and positively affects social influencing factors,which also significantly and positively affect the members’continuous participation in virtual brand communities.Therefore,only by sharing valuable information resources and improving the efficiency of information flow,thereby enhancing the perceived value of the community and increasing the stickiness of members to the virtual community,will we have an opportunity to enhance the interaction among members and effectively promote continuous participation in community activities through the strong bonds formed among members.展开更多
Reference [1] deals with the uniqueness of solution to problem （A） and solution of problem （A） is continuously dependent on free term and initial value under certain conditions. This paper discuss the solution of ...Reference [1] deals with the uniqueness of solution to problem （A） and solution of problem （A） is continuously dependent on free term and initial value under certain conditions. This paper discuss the solution of problem （A） is continuously dependent on boundary value on the basis of references [2] and [3].展开更多
This paper considers the regularity of solutions to mixed boundary value problems in small-angle regions for elliptic equations. By constructing a specific barrier function, we proved that under the assumption of suff...This paper considers the regularity of solutions to mixed boundary value problems in small-angle regions for elliptic equations. By constructing a specific barrier function, we proved that under the assumption of sufficient regularity of boundary conditions and coefficients, as long as the angle is sufficiently small, the regularity of the solution to the mixed boundary value problem of the second-order elliptic equation can reach any order.展开更多
In this paper, we characterize lower semi-continuous pseudo-convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the pseudo-monotonicity of its Clarke-Rockafellar Su...In this paper, we characterize lower semi-continuous pseudo-convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the pseudo-monotonicity of its Clarke-Rockafellar Sub-differential. We extend the results on the characterizations of non-smooth convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the monotonicity of its sub-differentials to the lower semi-continuous pseudo-convex functions on real Banach spaces.展开更多
On the basis of the theory of continuous compaction technology, we put forward the vibratory compaction value （VCV） index measured by a roller compactor, in order to evaluate the quality of continuously compacted su...On the basis of the theory of continuous compaction technology, we put forward the vibratory compaction value （VCV） index measured by a roller compactor, in order to evaluate the quality of continuously compacted subgrade. The relationships between the VCV index and the currently used indexes K30, Evd, Ev1 and Ev2, were explored by analyzing the experimental data collected from two test sections on the Beijing - Shanghai High-Speed Railway. The result shows that the VCV index has a linear relationship with the currently used indexes.展开更多
When all the involved data in indefinite quadratic programs change simultaneously, we show the locally Lipschtiz continuity of the KKT set of the quadratic programming problem firstly, then we establish the locally Li...When all the involved data in indefinite quadratic programs change simultaneously, we show the locally Lipschtiz continuity of the KKT set of the quadratic programming problem firstly, then we establish the locally Lipschtiz continuity of the KKT solution set. Finally, the similar conclusion for the corresponding optimal value function is obtained.展开更多
Let {Y (t);t= (t 1,t 2)≥0}={X k(t 1,t 2);t 1≥0,t 2≥0} ∞ k=1 be a sequence of two parameter Ornstein Uhlenbeck processes (OUP 2) with coefficients α k>0,β k>0 . A Fernique type in...Let {Y (t);t= (t 1,t 2)≥0}={X k(t 1,t 2);t 1≥0,t 2≥0} ∞ k=1 be a sequence of two parameter Ornstein Uhlenbeck processes (OUP 2) with coefficients α k>0,β k>0 . A Fernique type inequality is established and the sufficient condition for a.s. l 2 continuity of Y(·) is studied by means of the inequality.展开更多
A new method for the construction of bivariate matrix valued rational interpolants on a rectangulargrid is introduced. The rational interpolants are expressed in the continued fraction form with scalardenominator. Til...A new method for the construction of bivariate matrix valued rational interpolants on a rectangulargrid is introduced. The rational interpolants are expressed in the continued fraction form with scalardenominator. Tile matrix quotients are based oil the generalized inverse for a matrix, Which is found to beeffective in continued fraction interpolation. In this paper, tWo dual expansions for bivariate matrix valuedThiele-type interpolating continued fractions are presented, then, tWo dual rational interpolants are definedout of them.展开更多
A second-order Mond-Weir type dual problem is formulated for a class of continuous programming problems in which both objective and constraint functions contain support functions;hence it is nondifferentiable. Under s...A second-order Mond-Weir type dual problem is formulated for a class of continuous programming problems in which both objective and constraint functions contain support functions;hence it is nondifferentiable. Under second-order strict pseudoinvexity, second-order pseudoinvexity and second-order quasi-invexity assumptions on functionals, weak, strong, strict converse and converse duality theorems are established for this pair of dual continuous programming problems. Special cases are deduced and a pair of dual continuous problems with natural boundary values is constructed. A close relationship between the duality results of our problems and those of the corresponding (static) nonlinear programming problem with support functions is briefly outlined.展开更多
A second-order dual problem is formulated for a class of continuous programming problem in which both objective and constrained functions contain support functions, hence it is nondifferentiable. Under second-order in...A second-order dual problem is formulated for a class of continuous programming problem in which both objective and constrained functions contain support functions, hence it is nondifferentiable. Under second-order invexity and second-order pseudoinvexity, weak, strong and converse duality theorems are established for this pair of dual problems. Special cases are deduced and a pair of dual continuous problems with natural boundary values is constructed. A close relationship between duality results of our problems and those of the corresponding (static) nonlinear programming problem with support functions is briefly outlined.展开更多
It is known that functions involving natural numbers are generalized to the real ones, for instance the gamma function can be viewed as a generalization of the factorial operator. In this paper, we propose to generali...It is known that functions involving natural numbers are generalized to the real ones, for instance the gamma function can be viewed as a generalization of the factorial operator. In this paper, we propose to generalize the repetition of an operation over a function (composition, derivatives and integrals) toward the field of reals. It means repeating q times an operation over a function, where q is a real number. As a result, it is explained what functional and analytical dimensional extensions are and it is given a proof to theorems related to the indeterminate terms. The main finding is that every real number is expressible as a bijection of an infinite sum of elements whose coefficients are real numbers and their main values are either an indeterminate value or an infinite value. The concept of series of indeterminate values becomes relevant, as a novelty to operate with infinite, zero and indeterminate terms, which cannot be deductible from the non-standard analysis.展开更多
Valuation is stated as monetary value belonging to firm assets （Verginis ＆ Taylor, 2004）. According to M. L. Rock, R. H. Rock, and Sikora （1994）, valuation is the answer of the following questions： What is the m...Valuation is stated as monetary value belonging to firm assets （Verginis ＆ Taylor, 2004）. According to M. L. Rock, R. H. Rock, and Sikora （1994）, valuation is the answer of the following questions： What is the maximum price that will be paid for the firm？ What are the risk areas？ What are the results of cash flows, profitability, and balance-sheet？ Chambers （2005, p. 5）, on the other hand, estimated a probable price that will be paid for the goods and service at a specific time. For the calculation of continuing value （CV）, Verginis and Taylor （2004） used discounted cash flows （DCF） method and Onal, Karadeniz, and Kandlr （2005） used economic profit method. Klrh （2005） suggested Continuous and Constant Growing Model （Gordon Model）, Value Driver Model, and Economic Profit Model. In this study, DCF which is suggested by Onal et al. （2005） and Verginis and Taylor （2004） is used for the aim of determining CV of the firm at issue. In this study, analyses are made by using the financial statement data of a tourism business whose shares are dealt in Istanbul Stock Exchange. In consequence of the calculations, CV of the examined firm is found to be 7,485,402 TL and firm value is found to be 15,195,366 TL.展开更多
This study examines economic effects of business continuity management （BCM） disclosures through analyzing changes in shareholder returns in the wake of the Great East Japan Earthquake. The author examined differenc...This study examines economic effects of business continuity management （BCM） disclosures through analyzing changes in shareholder returns in the wake of the Great East Japan Earthquake. The author examined differences in the recovery of share price between disclosing and non-disclosing corporations. The results show that the cumulative average abnormal returns （CAARs） of disclosing corporations recovered faster than non-disclosing corporations. Then, the author examined differences in the recovery of share price between developing and non-developing corporations. The results show that there is no statistically significant difference in the recovery of share price between developing and non-developing corporations. Finally, the author examined the differences of BCM between disclosing and non-disclosing corporations. The results suggest that BCM or business continuity plan （BCP） disclosing corporations have a broader coverage of the BCP, more appropriate procedures for responding to emergency situations, more effective training of the BCM, and more mature BCM systems than non-disclosing ones.展开更多
A kind of triple branched continued fractions is defined by making use of Samel- son inverse and Thiele-type partial inverted di?erences [1]. In this paper, a levels-recursive algorithm is constructed and a numerical ...A kind of triple branched continued fractions is defined by making use of Samel- son inverse and Thiele-type partial inverted di?erences [1]. In this paper, a levels-recursive algorithm is constructed and a numerical example is given.展开更多
基金supported by the NSF of Hebei Province(A2022208007)the NSF of China(11571089,11871191)the NSF of Henan Province(222300420397)。
文摘Clifford analysis is an important branch of modern analysis;it has a very important theoretical significance and application value,and its conclusions can be applied to the Maxwell equation,Yang-Mill field theory,quantum mechanics and value problems.In this paper,we first give the definition of a quasi-Cauchy type integral in complex Clifford analysis,and get the Plemelj formula for it.Second,we discuss the H?lder continuity for the Cauchy-type integral operators with values in a complex Clifford algebra.Finally,we prove the existence of solutions for a class of linear boundary value problems and give the integral representation for the solution.
文摘Objective:This paper aims to investigate the value of individualized care for critically ill patients receiving continuous blood purification therapy.Methods:89 cases of critically ill patients who were treated from June 2021 to June 2023 were randomly divided into groups,with individualized care in group A and routine care in group B.The differences in clinical indicators,purification effect,quality of life,and complications of blood purification were compared between the groups.Results:Heart rate,respiration,body temperature,and other indicators in group A were better than those in group B,P<0.05.C-reactive protein(CRP),β2-microglobulin(β2-MG),blood urea nitrogen(BUN),and phosphorus(P)in group A were lower than those in group B,P<0.05.Group A had higher quality of life than Group B,P<0.05.The complication rate of blood purification in Group A was lower than that in Group B,P<0.05.Conclusion:During continuous blood purification in critically ill patients,individualized nursing intervention can enhance the effect of blood purification,improve the physiological indicators of patients,and reduce the complications of blood purification,which is highly effective and feasible.
文摘Based on the social influence theory,the influence of virtual brand community members’perceived value on social influencing factors is discussed,and the influence of social influencing factors on virtual brand community members’continuous participation in decision-making is analyzed.Through an empirical analysis of the survey data of Xiaomi users in the Xiaomi Community,the results showed that the perceived value of virtual brand community members significantly and positively affects social influencing factors,which also significantly and positively affect the members’continuous participation in virtual brand communities.Therefore,only by sharing valuable information resources and improving the efficiency of information flow,thereby enhancing the perceived value of the community and increasing the stickiness of members to the virtual community,will we have an opportunity to enhance the interaction among members and effectively promote continuous participation in community activities through the strong bonds formed among members.
文摘Reference [1] deals with the uniqueness of solution to problem （A） and solution of problem （A） is continuously dependent on free term and initial value under certain conditions. This paper discuss the solution of problem （A） is continuously dependent on boundary value on the basis of references [2] and [3].
文摘This paper considers the regularity of solutions to mixed boundary value problems in small-angle regions for elliptic equations. By constructing a specific barrier function, we proved that under the assumption of sufficient regularity of boundary conditions and coefficients, as long as the angle is sufficiently small, the regularity of the solution to the mixed boundary value problem of the second-order elliptic equation can reach any order.
文摘In this paper, we characterize lower semi-continuous pseudo-convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the pseudo-monotonicity of its Clarke-Rockafellar Sub-differential. We extend the results on the characterizations of non-smooth convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the monotonicity of its sub-differentials to the lower semi-continuous pseudo-convex functions on real Banach spaces.
基金The Scientific and Technology Researchand Development Program of Ministry of Railway of China(No.2008G005-A)the Fundamental Research Funds forthe Central Universities (No.SWJTU09BR042)
文摘On the basis of the theory of continuous compaction technology, we put forward the vibratory compaction value （VCV） index measured by a roller compactor, in order to evaluate the quality of continuously compacted subgrade. The relationships between the VCV index and the currently used indexes K30, Evd, Ev1 and Ev2, were explored by analyzing the experimental data collected from two test sections on the Beijing - Shanghai High-Speed Railway. The result shows that the VCV index has a linear relationship with the currently used indexes.
基金Supported by the National Natural Science Foundation of China(10571141,70971109,71371152)supported by the Talents Fund of Xi’an Polytechnic University(BS1320)the Mathematics Discipline Development Fund of Xi’an Ploytechnic University(107090701)
文摘When all the involved data in indefinite quadratic programs change simultaneously, we show the locally Lipschtiz continuity of the KKT set of the quadratic programming problem firstly, then we establish the locally Lipschtiz continuity of the KKT solution set. Finally, the similar conclusion for the corresponding optimal value function is obtained.
基金Research supported by National Natural Science Foundation of China(1 0 0 71 0 2 7)
文摘Let {Y (t);t= (t 1,t 2)≥0}={X k(t 1,t 2);t 1≥0,t 2≥0} ∞ k=1 be a sequence of two parameter Ornstein Uhlenbeck processes (OUP 2) with coefficients α k>0,β k>0 . A Fernique type inequality is established and the sufficient condition for a.s. l 2 continuity of Y(·) is studied by means of the inequality.
文摘A new method for the construction of bivariate matrix valued rational interpolants on a rectangulargrid is introduced. The rational interpolants are expressed in the continued fraction form with scalardenominator. Tile matrix quotients are based oil the generalized inverse for a matrix, Which is found to beeffective in continued fraction interpolation. In this paper, tWo dual expansions for bivariate matrix valuedThiele-type interpolating continued fractions are presented, then, tWo dual rational interpolants are definedout of them.
文摘A second-order Mond-Weir type dual problem is formulated for a class of continuous programming problems in which both objective and constraint functions contain support functions;hence it is nondifferentiable. Under second-order strict pseudoinvexity, second-order pseudoinvexity and second-order quasi-invexity assumptions on functionals, weak, strong, strict converse and converse duality theorems are established for this pair of dual continuous programming problems. Special cases are deduced and a pair of dual continuous problems with natural boundary values is constructed. A close relationship between the duality results of our problems and those of the corresponding (static) nonlinear programming problem with support functions is briefly outlined.
文摘A second-order dual problem is formulated for a class of continuous programming problem in which both objective and constrained functions contain support functions, hence it is nondifferentiable. Under second-order invexity and second-order pseudoinvexity, weak, strong and converse duality theorems are established for this pair of dual problems. Special cases are deduced and a pair of dual continuous problems with natural boundary values is constructed. A close relationship between duality results of our problems and those of the corresponding (static) nonlinear programming problem with support functions is briefly outlined.
文摘It is known that functions involving natural numbers are generalized to the real ones, for instance the gamma function can be viewed as a generalization of the factorial operator. In this paper, we propose to generalize the repetition of an operation over a function (composition, derivatives and integrals) toward the field of reals. It means repeating q times an operation over a function, where q is a real number. As a result, it is explained what functional and analytical dimensional extensions are and it is given a proof to theorems related to the indeterminate terms. The main finding is that every real number is expressible as a bijection of an infinite sum of elements whose coefficients are real numbers and their main values are either an indeterminate value or an infinite value. The concept of series of indeterminate values becomes relevant, as a novelty to operate with infinite, zero and indeterminate terms, which cannot be deductible from the non-standard analysis.
文摘Valuation is stated as monetary value belonging to firm assets （Verginis ＆ Taylor, 2004）. According to M. L. Rock, R. H. Rock, and Sikora （1994）, valuation is the answer of the following questions： What is the maximum price that will be paid for the firm？ What are the risk areas？ What are the results of cash flows, profitability, and balance-sheet？ Chambers （2005, p. 5）, on the other hand, estimated a probable price that will be paid for the goods and service at a specific time. For the calculation of continuing value （CV）, Verginis and Taylor （2004） used discounted cash flows （DCF） method and Onal, Karadeniz, and Kandlr （2005） used economic profit method. Klrh （2005） suggested Continuous and Constant Growing Model （Gordon Model）, Value Driver Model, and Economic Profit Model. In this study, DCF which is suggested by Onal et al. （2005） and Verginis and Taylor （2004） is used for the aim of determining CV of the firm at issue. In this study, analyses are made by using the financial statement data of a tourism business whose shares are dealt in Istanbul Stock Exchange. In consequence of the calculations, CV of the examined firm is found to be 7,485,402 TL and firm value is found to be 15,195,366 TL.
文摘This study examines economic effects of business continuity management （BCM） disclosures through analyzing changes in shareholder returns in the wake of the Great East Japan Earthquake. The author examined differences in the recovery of share price between disclosing and non-disclosing corporations. The results show that the cumulative average abnormal returns （CAARs） of disclosing corporations recovered faster than non-disclosing corporations. Then, the author examined differences in the recovery of share price between developing and non-developing corporations. The results show that there is no statistically significant difference in the recovery of share price between developing and non-developing corporations. Finally, the author examined the differences of BCM between disclosing and non-disclosing corporations. The results suggest that BCM or business continuity plan （BCP） disclosing corporations have a broader coverage of the BCP, more appropriate procedures for responding to emergency situations, more effective training of the BCM, and more mature BCM systems than non-disclosing ones.
基金Supported by the National Natural Science Foundation of China under Grant No. 10171026.
文摘A kind of triple branched continued fractions is defined by making use of Samel- son inverse and Thiele-type partial inverted di?erences [1]. In this paper, a levels-recursive algorithm is constructed and a numerical example is given.
