This paper takes some investigations on generalized topological spaces with some μ- separations. Some characterizations of μTi-spaces for i = 0, 1, 2, 3, 4, μTn-spaces and μR0-spaces are obtained and some relation...This paper takes some investigations on generalized topological spaces with some μ- separations. Some characterizations of μTi-spaces for i = 0, 1, 2, 3, 4, μTn-spaces and μR0-spaces are obtained and some relations among these spaces are established.展开更多
Ecosystem services of urban green spaces play an important role in the sustainable development of the urban ecosystem. How to quantify the ecological benefits of urban green spaces and evaluate their ecological servic...Ecosystem services of urban green spaces play an important role in the sustainable development of the urban ecosystem. How to quantify the ecological benefits of urban green spaces and evaluate their ecological services is a hot topic in related fields. Currently, with the advancement of science and technology, the assessment method has been developed from the traditional ones such as the Council of Tree and Landscape Appraisers(CTLA) method, afforestation cost method, and carbon tax method to CITYgreen and i-Tree. The latter two models have been widely used in countries of Europe and America, while the use of i-Tree has not been promoted in China. In this paper, i-Tree Eco(UFORE) was selected for research, and its application in the assessment of the ecosystem services of urban green spaces, including energy saving, air quality improvement, interception of rainwater, and aesthetic benefits, were analyzed. This study aims to provide a theoretical and scientific basis for the introduction and localization of i-Tree, as well as its generalization in the assessment of forest ecosystem services domestically.展开更多
In this paper, we mainly discuss the class of charming spaces. First, we show that there exists a charming space such that the Tychonoff product is not a charming space. Then we discuss some properties of charming spa...In this paper, we mainly discuss the class of charming spaces. First, we show that there exists a charming space such that the Tychonoff product is not a charming space. Then we discuss some properties of charming spaces and give some characterizations of some class of charming spaces. Finally, we show that the Suslin number of an arbitrary charming rectifiable space is countable.展开更多
In this note,we give some conditions concerning that the countably bi-quotient closed mappings, and the closed mappings with each fiber having a σ-closure preserving outer base, preserve M1-spaces.
In this paper, the concept of I-bornological vector spaces and two examples of the spaces are given. Two methods on constructing new I-bornological vector spaces are discussed,one is using a（crisp） bornological vect...In this paper, the concept of I-bornological vector spaces and two examples of the spaces are given. Two methods on constructing new I-bornological vector spaces are discussed,one is using a（crisp） bornological vector space to induce an I-bornological vector space, the other is utilizing I-bornological linear maps to generate an I-bornological vector space.展开更多
In this paper using the concept of Felbin-type fuzzy 2-norm ‖.,.‖ on a vector space,two I-topologies τ‖.,.‖ and τ*‖.,.‖ is constructed.After making our elementary observations on this fuzzy I-topologies,the co...In this paper using the concept of Felbin-type fuzzy 2-norm ‖.,.‖ on a vector space,two I-topologies τ‖.,.‖ and τ*‖.,.‖ is constructed.After making our elementary observations on this fuzzy I-topologies,the continuity of vector space operations is discussed and it is proved that the vector space with I-topology τ‖.,.‖ is not I-topological vector space but with τ*‖.,.‖ is I-topological vector space.Next we study the relationship between this two I-topologies and it is proved that τ*‖.,.‖■τ‖.,.‖.展开更多
This paper introduces the new notion of weakly-α-I-functions and weakly-α-I-paracompact spaces in the ideal topo-logical space. And it obtains that some properties of them.
近年来存储行业经历了巨大的变革,以固态硬盘(solid state drive, SSD)为代表的半导体存储设备迅猛发展,在性能上显著超越了通过磁头移动寻址的机械硬盘(hard disk drive, HDD).目前支持SSD的2种协议主要包括非易失性内存主机控制器接...近年来存储行业经历了巨大的变革,以固态硬盘(solid state drive, SSD)为代表的半导体存储设备迅猛发展,在性能上显著超越了通过磁头移动寻址的机械硬盘(hard disk drive, HDD).目前支持SSD的2种协议主要包括非易失性内存主机控制器接口规范(nonvolatile memory express, NVMe)协议与串行SCSI(serial attached small computer system interface, SAS)协议,即SAS. NVMe是专为SSD设计的高性能存储协议,能够很大限度地发挥SSD的性能;而SAS协议则充分考虑数据中心的需求,在提供高可靠性与高可扩展性的同时,兼顾了系统性能与成本的平衡.相对于日益增速的存储介质,针对慢速存储设备所设计的软件栈在一次I/O过程中所耗费的时间开销愈发显著.针对该问题学界及工业界都相继提出了众多解决方案,例如Intel提出的高性能存储开发包(storage performance development kit, SPDK)通过将设备驱动实现在用户空间,并采用轮询感知I/O完成等方式大幅度缩短了NVMe SSD对应用程序的响应时间,极大地提升了整个系统的整体性能.然而之前的研究工作针对SAS SSD存储软件栈的优化非常有限,为此在用户空间实现了针对SAS SSD的软件栈优化.实验结果表明,该优化能够有效缩短存储设备对应用程序的响应时间,提高应用对存储设备的访存效率.此外,为了准确评估I/O栈中存储设备的时间开销,硬件性能测试工具HwPerfIO被提出,能够消除大部分软件开销的影响以测得更加准确的存储设备性能.展开更多
The aim of this work is to introduce some weak forms of continuity in bitopological spaces. Then we use these new forms of weak continuity to give many decompositions of?i-continuity and pairwise continuity.
In this paper, we propose a new perspective to discuss the N-order fixed point theory of set-valued and single-valued mappings. There are two aspects in our work: we first define a product metric space with a graph fo...In this paper, we propose a new perspective to discuss the N-order fixed point theory of set-valued and single-valued mappings. There are two aspects in our work: we first define a product metric space with a graph for the single-valued mapping whose conversion makes the results and proofs concise and straightforward, and then we propose an <em>SG</em>-contraction definition for set-valued mapping which is more general than some recent contraction’s definition. The results obtained in this paper extend and unify some recent results of other authors. Our method to discuss the N-order fixed point unifies <em>N</em>-order fixed point theory of set-valued and single-valued mappings.展开更多
In 2000, Kostyrko, Salat, and Wilczynski introduced and studied the concept of I-convergence of sequences in metric spaces where I is an ideal. The concept of I-convergence has a wide application in the field of Numbe...In 2000, Kostyrko, Salat, and Wilczynski introduced and studied the concept of I-convergence of sequences in metric spaces where I is an ideal. The concept of I-convergence has a wide application in the field of Number Theory, trigonometric series, summability theory, probability theory, optimization and approximation theory. In this article we introduce the double sequence spaces and ,for a modulus function f and study some of the properties of these spaces.展开更多
In this paper, we aim to introduce and study some basic properties of upper and lower M-asymmetric irresolute multifunctions defined between asymmetric sets in the realm of bitopological spaces with certain minimal st...In this paper, we aim to introduce and study some basic properties of upper and lower M-asymmetric irresolute multifunctions defined between asymmetric sets in the realm of bitopological spaces with certain minimal structures as a generalization of irresolute functions deal to Crossley and Hildebrand <a href="#ref1">[1] and upper and lower irresolute Multifunctions deal to Popa <a href="#ref2">[2].展开更多
基金Supported by the National Natural Science Foundation of China(10971185)
文摘This paper takes some investigations on generalized topological spaces with some μ- separations. Some characterizations of μTi-spaces for i = 0, 1, 2, 3, 4, μTn-spaces and μR0-spaces are obtained and some relations among these spaces are established.
基金Sponsored by Science and Technology Project of Beijing Municipal Administration Center of Parks(ZX2017029)Special Fund for Forest Scientific Research in the Public Welfare(201404301)
文摘Ecosystem services of urban green spaces play an important role in the sustainable development of the urban ecosystem. How to quantify the ecological benefits of urban green spaces and evaluate their ecological services is a hot topic in related fields. Currently, with the advancement of science and technology, the assessment method has been developed from the traditional ones such as the Council of Tree and Landscape Appraisers(CTLA) method, afforestation cost method, and carbon tax method to CITYgreen and i-Tree. The latter two models have been widely used in countries of Europe and America, while the use of i-Tree has not been promoted in China. In this paper, i-Tree Eco(UFORE) was selected for research, and its application in the assessment of the ecosystem services of urban green spaces, including energy saving, air quality improvement, interception of rainwater, and aesthetic benefits, were analyzed. This study aims to provide a theoretical and scientific basis for the introduction and localization of i-Tree, as well as its generalization in the assessment of forest ecosystem services domestically.
基金The NSF(11571158,11471153 and 11201414) of Chinathe NSF(2017J01405,2016J05014,2016J01671 and 2016J01672) of Fujian Province of China
文摘In this paper, we mainly discuss the class of charming spaces. First, we show that there exists a charming space such that the Tychonoff product is not a charming space. Then we discuss some properties of charming spaces and give some characterizations of some class of charming spaces. Finally, we show that the Suslin number of an arbitrary charming rectifiable space is countable.
文摘In this note,we give some conditions concerning that the countably bi-quotient closed mappings, and the closed mappings with each fiber having a σ-closure preserving outer base, preserve M1-spaces.
基金Supported by the National Natural Science Foundation of China(Grant No.11301281)the Natural Science Foundation of Anhui Higher Education Institution(Grant No.KJ2012A136)
文摘In this paper, the concept of I-bornological vector spaces and two examples of the spaces are given. Two methods on constructing new I-bornological vector spaces are discussed,one is using a（crisp） bornological vector space to induce an I-bornological vector space, the other is utilizing I-bornological linear maps to generate an I-bornological vector space.
文摘In this paper using the concept of Felbin-type fuzzy 2-norm ‖.,.‖ on a vector space,two I-topologies τ‖.,.‖ and τ*‖.,.‖ is constructed.After making our elementary observations on this fuzzy I-topologies,the continuity of vector space operations is discussed and it is proved that the vector space with I-topology τ‖.,.‖ is not I-topological vector space but with τ*‖.,.‖ is I-topological vector space.Next we study the relationship between this two I-topologies and it is proved that τ*‖.,.‖■τ‖.,.‖.
文摘This paper introduces the new notion of weakly-α-I-functions and weakly-α-I-paracompact spaces in the ideal topo-logical space. And it obtains that some properties of them.
文摘近年来存储行业经历了巨大的变革,以固态硬盘(solid state drive, SSD)为代表的半导体存储设备迅猛发展,在性能上显著超越了通过磁头移动寻址的机械硬盘(hard disk drive, HDD).目前支持SSD的2种协议主要包括非易失性内存主机控制器接口规范(nonvolatile memory express, NVMe)协议与串行SCSI(serial attached small computer system interface, SAS)协议,即SAS. NVMe是专为SSD设计的高性能存储协议,能够很大限度地发挥SSD的性能;而SAS协议则充分考虑数据中心的需求,在提供高可靠性与高可扩展性的同时,兼顾了系统性能与成本的平衡.相对于日益增速的存储介质,针对慢速存储设备所设计的软件栈在一次I/O过程中所耗费的时间开销愈发显著.针对该问题学界及工业界都相继提出了众多解决方案,例如Intel提出的高性能存储开发包(storage performance development kit, SPDK)通过将设备驱动实现在用户空间,并采用轮询感知I/O完成等方式大幅度缩短了NVMe SSD对应用程序的响应时间,极大地提升了整个系统的整体性能.然而之前的研究工作针对SAS SSD存储软件栈的优化非常有限,为此在用户空间实现了针对SAS SSD的软件栈优化.实验结果表明,该优化能够有效缩短存储设备对应用程序的响应时间,提高应用对存储设备的访存效率.此外,为了准确评估I/O栈中存储设备的时间开销,硬件性能测试工具HwPerfIO被提出,能够消除大部分软件开销的影响以测得更加准确的存储设备性能.
文摘The aim of this work is to introduce some weak forms of continuity in bitopological spaces. Then we use these new forms of weak continuity to give many decompositions of?i-continuity and pairwise continuity.
文摘In this paper, we propose a new perspective to discuss the N-order fixed point theory of set-valued and single-valued mappings. There are two aspects in our work: we first define a product metric space with a graph for the single-valued mapping whose conversion makes the results and proofs concise and straightforward, and then we propose an <em>SG</em>-contraction definition for set-valued mapping which is more general than some recent contraction’s definition. The results obtained in this paper extend and unify some recent results of other authors. Our method to discuss the N-order fixed point unifies <em>N</em>-order fixed point theory of set-valued and single-valued mappings.
文摘In 2000, Kostyrko, Salat, and Wilczynski introduced and studied the concept of I-convergence of sequences in metric spaces where I is an ideal. The concept of I-convergence has a wide application in the field of Number Theory, trigonometric series, summability theory, probability theory, optimization and approximation theory. In this article we introduce the double sequence spaces and ,for a modulus function f and study some of the properties of these spaces.
文摘In this paper, we aim to introduce and study some basic properties of upper and lower M-asymmetric irresolute multifunctions defined between asymmetric sets in the realm of bitopological spaces with certain minimal structures as a generalization of irresolute functions deal to Crossley and Hildebrand <a href="#ref1">[1] and upper and lower irresolute Multifunctions deal to Popa <a href="#ref2">[2].
