In this paper,some refinements of norm equalities and inequalities of combination of two orthogonal projections are established.We use certain norm inequalities for positive contraction operator to establish norm ineq...In this paper,some refinements of norm equalities and inequalities of combination of two orthogonal projections are established.We use certain norm inequalities for positive contraction operator to establish norm inequalities for combination of orthogonal projections on a Hilbert space.Furthermore,we give necessary and sufficient conditions under which the norm of the above combination of o`rthogonal projections attains its optimal value.展开更多
We propose two more general methods to construct nullnorms on bounded lattices. By some illustrative examples, we demonstrate that the new method differ from the existing approaches.
This paper focuses on the 2-median location improvement problem on tree networks and the problem is to modify the weights of edges at the minimum cost such that the overall sum of the weighted distance of the vertices...This paper focuses on the 2-median location improvement problem on tree networks and the problem is to modify the weights of edges at the minimum cost such that the overall sum of the weighted distance of the vertices to the respective closest one of two prescribed vertices in the modified network is upper bounded by a given value.l1 norm and l∞norm are used to measure the total modification cost. These two problems have a strong practical application background and important theoretical research value. It is shown that such problems can be transformed into a series of sum-type and bottleneck-type continuous knapsack problems respectively.Based on the property of the optimal solution two O n2 algorithms for solving the two problems are proposed where n is the number of vertices on the tree.展开更多
Greater attention has been paid to vintage-merge processing of seismic data and extracting more valuable information by the geophysicist. A match filter is used within many important areas such as splicing seismic dat...Greater attention has been paid to vintage-merge processing of seismic data and extracting more valuable information by the geophysicist. A match filter is used within many important areas such as splicing seismic data, matching seismic data with different ages and sources, 4-D seismic monitoring, and so on. The traditional match filtering method is subject to many restrictions and is usually difficult to overcome the impact of noise. Based on the traditional match filter, we propose the wavelet domain L1 norm optimal matching filter. In this paper, two different types of seismic data are decomposed to the wavelet domain, different detailed effective information is extracted for Ll-norm optimal matching, and ideal results are achieved. Based on the model test, we find that the L1 norm optimal matching filter attenuates the noise and the waveform, amplitude, and phase coherence of result signals are better than the conventional method. The field data test shows that, with our method, the seismic events in the filter results have better continuity which achieves the high precision seismic match requirements.展开更多
Based on a representative survey on crime prevention,this paper studies how personal values are related to persons’acceptance of legal norms(LNA).We here take a closer look at these relations than previous research.O...Based on a representative survey on crime prevention,this paper studies how personal values are related to persons’acceptance of legal norms(LNA).We here take a closer look at these relations than previous research.Offenses,in particular,are classified into different offense types,and the persons’ratings are studied both as observed and as individually centered data.It is found that conservation-oriented persons give higher and less differentiated badness ratings to all offenses than persons striving for hedonism and stimulation.The correlational structure of basic personal values and norm acceptance ratings for 14 different offenses,when represented via multidimensional scaling,exhibits that conservation orientation becomes a better predictor of LNA of all offense types if it is augmented by an additional value,peace of mind.When looking at centered ratings(i.e.,controlling for each person’s mean ratings),social values become the best predictors of offenses such as tax evasion,benefits fraud,or taking bribes.Statements on the impact of personal values on general norm acceptance should,therefore,be replaced with more differentiated relations on how particular values are related to people’s attitudes towards particular offenses.展开更多
Translation studies has undergone three different periods： the traditional philological period, the modem linguistic period and the contemporary cultural period. Ever since the cultural turn, especially after the int...Translation studies has undergone three different periods： the traditional philological period, the modem linguistic period and the contemporary cultural period. Ever since the cultural turn, especially after the introduction of deconstruction into translation, traditional translation theories have been greatly affected. The traditional principle like faithfulness to the source text and the writer has been attacked and the translator＇s subjectivity and creativity have been greatly advocated. Under such circumstances, this paper, however, holds that translation studies should turn to ethics for the messy situation, and translators should be able to identify norms of honor and shame in translation practice.展开更多
In this paper, the stability of a cubic functional equation in the setting of intuitionistic random normed spaces is proved. We first introduce the notation of intuitionistic random normed spaces. Then, by virtue of t...In this paper, the stability of a cubic functional equation in the setting of intuitionistic random normed spaces is proved. We first introduce the notation of intuitionistic random normed spaces. Then, by virtue of this notation, we study the stability of a cubic functional equation in the setting of these spaces under arbitrary triangle norms. Furthermore, we present the interdisciplinary relation among the theory of random spaces, the theory of intuitionistic spaces, and the theory of functional equations.展开更多
It is proved that there is only one L^P-matricially normed space of dimension 1 and that quotient spaces of L^P-matricially normed spaces are also L^P-matricially normed spaces. Some properties of L^P-matricially norm...It is proved that there is only one L^P-matricially normed space of dimension 1 and that quotient spaces of L^P-matricially normed spaces are also L^P-matricially normed spaces. Some properties of L^P-matricially normed spaces are given.展开更多
The notions of norm and distance in BCI-algebras are introduced, and some basic properties in normed BCI-algebras are given. It is obtained that the isomorphic(homomorphic) image and inverse image of a normed BCI-alge...The notions of norm and distance in BCI-algebras are introduced, and some basic properties in normed BCI-algebras are given. It is obtained that the isomorphic(homomorphic) image and inverse image of a normed BCI-algebra are still normed BCI-algebras. The relations of normaled properties between BCI-algebra and Cartesian product of BCIalgebras are investigated. The limit notion of sequence of points in normed BCI-algebras is introduced, and its related properties are investigated.展开更多
Necessary and sufficient conditions for equalities between a 2 y′(I-P Xx)y and minimum norm quadratic unbiased estimator of variance under the general linear model, where a 2 is a known positive number, are...Necessary and sufficient conditions for equalities between a 2 y′(I-P Xx)y and minimum norm quadratic unbiased estimator of variance under the general linear model, where a 2 is a known positive number, are derived. Further, when the Gauss? Markov estimators and the ordinary least squares estimator are identical, a relative simply equivalent condition is obtained. At last, this condition is applied to an interesting example.展开更多
文摘In this paper,some refinements of norm equalities and inequalities of combination of two orthogonal projections are established.We use certain norm inequalities for positive contraction operator to establish norm inequalities for combination of orthogonal projections on a Hilbert space.Furthermore,we give necessary and sufficient conditions under which the norm of the above combination of o`rthogonal projections attains its optimal value.
文摘We propose two more general methods to construct nullnorms on bounded lattices. By some illustrative examples, we demonstrate that the new method differ from the existing approaches.
基金The National Natural Science Foundation of China(No.10801031)
文摘This paper focuses on the 2-median location improvement problem on tree networks and the problem is to modify the weights of edges at the minimum cost such that the overall sum of the weighted distance of the vertices to the respective closest one of two prescribed vertices in the modified network is upper bounded by a given value.l1 norm and l∞norm are used to measure the total modification cost. These two problems have a strong practical application background and important theoretical research value. It is shown that such problems can be transformed into a series of sum-type and bottleneck-type continuous knapsack problems respectively.Based on the property of the optimal solution two O n2 algorithms for solving the two problems are proposed where n is the number of vertices on the tree.
基金sponsored by the Natural Science Foundation of China(No.41074075)Graduate Innovation Fund by Jilin University(No.20121070)
文摘Greater attention has been paid to vintage-merge processing of seismic data and extracting more valuable information by the geophysicist. A match filter is used within many important areas such as splicing seismic data, matching seismic data with different ages and sources, 4-D seismic monitoring, and so on. The traditional match filtering method is subject to many restrictions and is usually difficult to overcome the impact of noise. Based on the traditional match filter, we propose the wavelet domain L1 norm optimal matching filter. In this paper, two different types of seismic data are decomposed to the wavelet domain, different detailed effective information is extracted for Ll-norm optimal matching, and ideal results are achieved. Based on the model test, we find that the L1 norm optimal matching filter attenuates the noise and the waveform, amplitude, and phase coherence of result signals are better than the conventional method. The field data test shows that, with our method, the seismic events in the filter results have better continuity which achieves the high precision seismic match requirements.
文摘Based on a representative survey on crime prevention,this paper studies how personal values are related to persons’acceptance of legal norms(LNA).We here take a closer look at these relations than previous research.Offenses,in particular,are classified into different offense types,and the persons’ratings are studied both as observed and as individually centered data.It is found that conservation-oriented persons give higher and less differentiated badness ratings to all offenses than persons striving for hedonism and stimulation.The correlational structure of basic personal values and norm acceptance ratings for 14 different offenses,when represented via multidimensional scaling,exhibits that conservation orientation becomes a better predictor of LNA of all offense types if it is augmented by an additional value,peace of mind.When looking at centered ratings(i.e.,controlling for each person’s mean ratings),social values become the best predictors of offenses such as tax evasion,benefits fraud,or taking bribes.Statements on the impact of personal values on general norm acceptance should,therefore,be replaced with more differentiated relations on how particular values are related to people’s attitudes towards particular offenses.
文摘Translation studies has undergone three different periods： the traditional philological period, the modem linguistic period and the contemporary cultural period. Ever since the cultural turn, especially after the introduction of deconstruction into translation, traditional translation theories have been greatly affected. The traditional principle like faithfulness to the source text and the writer has been attacked and the translator＇s subjectivity and creativity have been greatly advocated. Under such circumstances, this paper, however, holds that translation studies should turn to ethics for the messy situation, and translators should be able to identify norms of honor and shame in translation practice.
基金supported by the Natural Science Foundation of Yibin University (No. 2009Z003)
文摘In this paper, the stability of a cubic functional equation in the setting of intuitionistic random normed spaces is proved. We first introduce the notation of intuitionistic random normed spaces. Then, by virtue of this notation, we study the stability of a cubic functional equation in the setting of these spaces under arbitrary triangle norms. Furthermore, we present the interdisciplinary relation among the theory of random spaces, the theory of intuitionistic spaces, and the theory of functional equations.
文摘It is proved that there is only one L^P-matricially normed space of dimension 1 and that quotient spaces of L^P-matricially normed spaces are also L^P-matricially normed spaces. Some properties of L^P-matricially normed spaces are given.
基金Supported by the Special Item of Key Laboratory of Education Bureau of Sichuan Province(2006ZD050)Supported by Natural Science Foundation of China(11071178)
文摘The notions of norm and distance in BCI-algebras are introduced, and some basic properties in normed BCI-algebras are given. It is obtained that the isomorphic(homomorphic) image and inverse image of a normed BCI-algebra are still normed BCI-algebras. The relations of normaled properties between BCI-algebra and Cartesian product of BCIalgebras are investigated. The limit notion of sequence of points in normed BCI-algebras is introduced, and its related properties are investigated.
文摘Necessary and sufficient conditions for equalities between a 2 y′(I-P Xx)y and minimum norm quadratic unbiased estimator of variance under the general linear model, where a 2 is a known positive number, are derived. Further, when the Gauss? Markov estimators and the ordinary least squares estimator are identical, a relative simply equivalent condition is obtained. At last, this condition is applied to an interesting example.
