In our paper Simplicial K(G, 1)’s we constructed a sub-complex of the nerve of a group G determined by a partial group structure, and we proved, under a generalized associativity condition called regularity, that the...In our paper Simplicial K(G, 1)’s we constructed a sub-complex of the nerve of a group G determined by a partial group structure, and we proved, under a generalized associativity condition called regularity, that the sub-complex realizes as a K(G, 1). This type of sub-complex appears naturally in several topological and algebraic contexts. In this note we prove that regularity of a partial group implies that the Kan extension condition is satisfied on its nerve in dimensions greater than one, and in dimension one a weaker version of the extension condition holds.展开更多
Abstract Densities of aqueous solutions of eight amino acids, glycine, L-alanine, L-valine, L-isoleucine, L-serine, L-threonine, L-arginine and L-phenylalanine, are measured as a function of amino acid concentration f...Abstract Densities of aqueous solutions of eight amino acids, glycine, L-alanine, L-valine, L-isoleucine, L-serine, L-threonine, L-arginine and L-phenylalanine, are measured as a function of amino acid concentration from 293.15 K to 333.15 K. These data are used to calculate the apparent molar volume Vφ^0 and infinite dilution apparent molar volume Vφ^0 (partial molar volume). Data of five amino acids are used to correlate partial molar volume Vφ^0 using group contribution method to estimate the contributions of the zwitterionic end groups (NH+,COO-) and CH2 group, OH group, CNHNHNH2 group and C6H5(phenyl) group of amino acids. The results show that Vφ^0 values for all kinds of groups of amino acids studied increase with increase of temperature except those for CH2^φ group, which are almost constant within the studied temperature range. Data of other amino acids, L-valine, L-isoleucine and L-threonine, are chosen for comparison with the predicted partial molar volume Vφ^0 using the group additivity parameters obtained. The results confirm that this group additivity method has excellent predictive utility.展开更多
The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the ...The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the convergence of sequences and the multi-valued weak contractions, etc., on the introduced space. And then, with the methods of functional analysis and abstract algebra, it successively establishes an endpoint theorem for the metric space of partially ordered groups and an endpoint theorem for the metric space of partially ordered modules. The contributions of this article extend the theory of cone metric space constructed by Huang and Zhang (2007) and some recent results on the fixed point and endpoint theory, such as the endpoint theorem given by Amini-Harandi (2010).展开更多
对部分线性模型的aglasso(adaptive group lasso)参数估计及变量选择问题进行研究.通过构造aglasso的估计函数,将分组部分线性模型变量的选择问题转化为分组因子的选择问题.理论研究表明:该方法能相合地识别真实模型,并且估计具有oracl...对部分线性模型的aglasso(adaptive group lasso)参数估计及变量选择问题进行研究.通过构造aglasso的估计函数,将分组部分线性模型变量的选择问题转化为分组因子的选择问题.理论研究表明:该方法能相合地识别真实模型,并且估计具有oracle性质.最后通过模拟研究了所提方法的有限样本性质.展开更多
In this paper,we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem,the Taylor formula and a priori estimates for the derivatives of the Newt...In this paper,we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem,the Taylor formula and a priori estimates for the derivatives of the Newton potential.展开更多
Let G be a π-separable group for a set of primes, let N be a normal subgroup of G, and let θ be an Iπ-character(i.e., irreducible π-partial character) of N. We obtain a necessary and suffcient condition for the nu...Let G be a π-separable group for a set of primes, let N be a normal subgroup of G, and let θ be an Iπ-character(i.e., irreducible π-partial character) of N. We obtain a necessary and suffcient condition for the number of Iπ-characters of G over θ to take the possible maximum |G : N |π. Some applications are given.展开更多
The set of finite group actions (up to equivalence) which operate on a prism manifold M, preserve a Heegaard Klein bottle and have a fixed orbifold quotient type, form a partially ordered set. We describe the partial ...The set of finite group actions (up to equivalence) which operate on a prism manifold M, preserve a Heegaard Klein bottle and have a fixed orbifold quotient type, form a partially ordered set. We describe the partial ordering of these actions by relating them to certain sets of ordered pairs of integers. There are seven possible orbifold quotient types, and for any fixed quotient type we show that the partially ordered set is isomorphic to a union of distributive lattices of a certain type. We give necessary and sufficent conditions, for these partially ordered sets to be isomorphic and to be a union of Boolean algebras.展开更多
文摘In our paper Simplicial K(G, 1)’s we constructed a sub-complex of the nerve of a group G determined by a partial group structure, and we proved, under a generalized associativity condition called regularity, that the sub-complex realizes as a K(G, 1). This type of sub-complex appears naturally in several topological and algebraic contexts. In this note we prove that regularity of a partial group implies that the Kan extension condition is satisfied on its nerve in dimensions greater than one, and in dimension one a weaker version of the extension condition holds.
基金the Educational Department Doctor Foundation of China (No. 2000005608).
文摘Abstract Densities of aqueous solutions of eight amino acids, glycine, L-alanine, L-valine, L-isoleucine, L-serine, L-threonine, L-arginine and L-phenylalanine, are measured as a function of amino acid concentration from 293.15 K to 333.15 K. These data are used to calculate the apparent molar volume Vφ^0 and infinite dilution apparent molar volume Vφ^0 (partial molar volume). Data of five amino acids are used to correlate partial molar volume Vφ^0 using group contribution method to estimate the contributions of the zwitterionic end groups (NH+,COO-) and CH2 group, OH group, CNHNHNH2 group and C6H5(phenyl) group of amino acids. The results show that Vφ^0 values for all kinds of groups of amino acids studied increase with increase of temperature except those for CH2^φ group, which are almost constant within the studied temperature range. Data of other amino acids, L-valine, L-isoleucine and L-threonine, are chosen for comparison with the predicted partial molar volume Vφ^0 using the group additivity parameters obtained. The results confirm that this group additivity method has excellent predictive utility.
文摘The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the convergence of sequences and the multi-valued weak contractions, etc., on the introduced space. And then, with the methods of functional analysis and abstract algebra, it successively establishes an endpoint theorem for the metric space of partially ordered groups and an endpoint theorem for the metric space of partially ordered modules. The contributions of this article extend the theory of cone metric space constructed by Huang and Zhang (2007) and some recent results on the fixed point and endpoint theory, such as the endpoint theorem given by Amini-Harandi (2010).
文摘对部分线性模型的aglasso(adaptive group lasso)参数估计及变量选择问题进行研究.通过构造aglasso的估计函数,将分组部分线性模型变量的选择问题转化为分组因子的选择问题.理论研究表明:该方法能相合地识别真实模型,并且估计具有oracle性质.最后通过模拟研究了所提方法的有限样本性质.
基金supported by the NSFC(11201486,11326153)supported by"the Fundamental Research Funds for the Central Universities(31541411213)"
文摘In this paper,we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem,the Taylor formula and a priori estimates for the derivatives of the Newton potential.
基金Supported by the NSF of Shanxi Province(2013011001-3)
文摘Let G be a π-separable group for a set of primes, let N be a normal subgroup of G, and let θ be an Iπ-character(i.e., irreducible π-partial character) of N. We obtain a necessary and suffcient condition for the number of Iπ-characters of G over θ to take the possible maximum |G : N |π. Some applications are given.
文摘The set of finite group actions (up to equivalence) which operate on a prism manifold M, preserve a Heegaard Klein bottle and have a fixed orbifold quotient type, form a partially ordered set. We describe the partial ordering of these actions by relating them to certain sets of ordered pairs of integers. There are seven possible orbifold quotient types, and for any fixed quotient type we show that the partially ordered set is isomorphic to a union of distributive lattices of a certain type. We give necessary and sufficent conditions, for these partially ordered sets to be isomorphic and to be a union of Boolean algebras.
