83 results on '"Zhaoqi Wu"'
Search Results
2. Mechanical behavior of locally corroded circular steel tube under compression
- Author
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Yuan Wei, Xintao Wang, Shao-Fei Jiang, and Zhaoqi Wu
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Materials science ,0211 other engineering and technologies ,Stiffness ,020101 civil engineering ,02 engineering and technology ,Building and Construction ,Penetration (firestop) ,engineering.material ,Compression (physics) ,Durability ,Finite element method ,0201 civil engineering ,Corrosion ,Coating ,Buckling ,021105 building & construction ,Architecture ,medicine ,engineering ,medicine.symptom ,Composite material ,Safety, Risk, Reliability and Quality ,Civil and Structural Engineering - Abstract
Localized corrosion often occurs on steel members due to paint peeling led from insufficient durability of the coating material or human collision, which may significantly reduce the load carrying capacity and safety performance of the structures. The effects of the parameters such as localized corrosion penetration, circumferential corrosion ratio, longitudinal corrosion ratio, slenderness ratio and eccentricity of mechanical behaviors of locally corroded circular steel tubes under compression were studied experimentally and numerically. Based on the test results and the finite element analysis, a calculation method was proposed for predicting load carrying capacity of the corroded specimen under compression. It is found that localized corrosion did not change the failure modes of test specimens, and all of them failed in the limit point buckling mode. The factors affecting the degradation of load carrying capacity and stiffness of localized corrosion specimens from high to low were corrosion time, circumferential corrosion ratio and longitudinal corrosion ratio. The most unfavorable localized corrosion modes of load carrying capacity and stiffness were H3L3-270 and H3L1-270, respectively. The load carrying capacity degradation of members increases with the increase of the localized corrosion ratio, circumferential corrosion ratio and longitudinal corrosion ratio, while decreases with the increase of the eccentricity. The formula proposed can be used to predict the load carrying capacity of locally corroded circular steel tube members under compression.
- Published
- 2021
3. Comprehensive Safety Evaluation of Corroded Circular Steel Tubes under Compression Based on Image Processing
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Yuan Wei, Yingjie Li, Zhaoqi Wu, Jinyu Chen, Shao-Fei Jiang, Deyuan Lin, and Xianbiao Xiao
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corroded circular steel tubes (CCSTs) ,image processing ,feature value extraction ,safety evaluation ,comprehensive evaluation method ,Materials Chemistry ,Surfaces and Interfaces ,Surfaces, Coatings and Films - Abstract
In order to achieve a comprehensive and accurate evaluation of the safety of compression members made of circular steel tubes, image processing technology is commonly utilized to extract the morphology of the steel tubes before and after rust removal. The obtained results have validated the feasibility and applicability of employing digital cameras and image processing technology to analyze the images of the steel tubes before and after rust removal and to extract useful structural mechanics features. The feature values of the apparent morphology before rust removal grow with the increase of the corrosion depth, while after rust removal, the feature values first increase and then decrease with the growth of the corrosion depth. Based on this fact, a simplified equation is proposed to quantify the relationship between the feature values of the apparent morphology before and after rust removal and the corrosion depth. In continuing, a simple, fairly accurate, and comprehensive safety evaluation methodology for corroded circular steel tubes under compression is established. Finally, an example is illustrated to check the applicability and effectiveness of the proposed approach.
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- 2022
- Full Text
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4. Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information
- Author
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Cong Xu, Zhaoqi Wu, and Shao-Ming Fei
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Quantum Physics ,Modeling and Simulation ,Signal Processing ,FOS: Physical sciences ,Statistical and Nonlinear Physics ,Electrical and Electronic Engineering ,Quantum Physics (quant-ph) ,Theoretical Computer Science ,Electronic, Optical and Magnetic Materials - Abstract
Uncertainty relation is a fundamental issue in quantum mechanics and quantum information theory. By using modified generalized variance (MGV), and modified generalized Wigner-Yanase-Dyson skew information (MGWYD), we identify the total and quantum uncertainty of quantum channels. The elegant properties of the total uncertainty of quantum channels are explored in detail. In addition, we present a trade-off relation between the total uncertainty of quantum channels and the entanglement fidelity and establish the relationships between the total uncertainty and entropy exchange/coherent information. Detailed examples are given to the explicit formulas of the total uncertainty and the quantum uncertainty of quantum channels. Moreover, utilizing a realizable experimental measurement scheme by using the Mach-Zehnder interferometer proposed in Nirala et al. (Phys Rev A 99:022111, 2019), we discuss how to measure the total/quantum uncertainty of quantum channels for pure states., 24 pages, 6 figures
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- 2022
5. Correction to: Sum Uncertainty Relations Based on (α,β,γ) Weighted Wigner-Yanase-Dyson Skew Information
- Author
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Cong Xu, Zhaoqi Wu, and Shao-Ming Fei
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Physics and Astronomy (miscellaneous) ,General Mathematics - Published
- 2022
6. Skew information-based coherence generating power of quantum channels
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Zhaoqi Wu, Lin Zhang, Shao-Ming Fei, and Jianhui Wang
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Quantum Physics ,Modeling and Simulation ,Signal Processing ,FOS: Physical sciences ,Statistical and Nonlinear Physics ,Electrical and Electronic Engineering ,Quantum Physics (quant-ph) ,Computer Science::Information Theory ,Theoretical Computer Science ,Electronic, Optical and Magnetic Materials - Abstract
We study the ability of a quantum channel to generate quantum coherence when it applies to incoherent states. We define the measure of coherence generating power (CGP) for a generic quantum channel to be the average coherence generated by the quantum channel acting on a uniform ensemble of incoherent states based on the skew information-based coherence measure. We present explicitly the analytical formulae of the CGP for any arbitrary finite dimensional unitary channels. We derive the mean value of the CGP over the unitary groups and investigate the typicality of the normalized CGP. Furthermore, we give an upper bound of the CGP for the convex combinations of unitary channels. Detailed examples are provided to calculate exactly the values of the CGP for the unitary channels related to specific quantum gates and for some qubit channels., Comment: 21pages. arXiv admin note: text overlap with arXiv:2101.07427
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- 2022
7. Nonlinear analysis of axial-compressed corroded circular steel pipes reinforced by FRP-casing grouting
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Hao Fu, Jiayi Zhang, Zhaoqi Wu, Chee-Loong Chin, and Chau-Khun Ma
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Mechanics of Materials ,Metals and Alloys ,Building and Construction ,Civil and Structural Engineering - Published
- 2023
8. Sum uncertainty relations based on $(α,β,γ)$ weighted Wigner-Yanase-Dyson skew information
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Cong Xu, Zhaoqi Wu, and Shao-Ming Fei
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Physics and Astronomy (miscellaneous) ,General Mathematics ,FOS: Physical sciences ,Quantum Physics (quant-ph) - Abstract
We introduce ($α,β,γ$) weighted Wigner-Yanase-Dyson (($α,β,γ$) WWYD) skew information and ($α,β,γ$) modified weighted Wigner-Yanase-Dyson (($α,β,γ$) MWWYD) skew information. We explore the sum uncertainty relations for arbitrary $N$ mutually noncommutative observables based on ($α,β,γ$) WWYD skew information. A series of uncertainty inequalities are derived. We show by detailed example that our results cover and improve the previous ones based on the original Wigner-Yanase (WY) skew information. Finally, we establish new sum uncertainty relations in terms of the ($α,β,γ$) MWWYD skew information for arbitrary $N$ quantum channels., 19 pages, 1 figure
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- 2022
- Full Text
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9. Quantumness of pure-state ensembles via coherence of Gram matrix based on generalized $α$-$z$-relative Rényi entropy
- Author
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Wendao Yuan, Zhaoqi Wu, and Shao-Ming Fei
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Quantum Physics ,Physics and Astronomy (miscellaneous) ,General Mathematics ,FOS: Physical sciences ,Quantum Physics (quant-ph) - Abstract
The Gram matrix of a set of quantum pure states plays key roles in quantum information theory. It has been highlighted that the Gram matrix of a pure-state ensemble can be viewed as a quantum state, and the quantumness of a pure-state ensemble can thus be quantified by the coherence of the Gram matrix [Europhys. Lett. \textbf{134} 30003]. Instead of the $l_1$-norm of coherence and the relative entropy of coherence, we utilize the generalized $\alpha$-$z$-relative R\'enyi entropy of coherence of the Gram matrix to quantify the quantumness of a pure-state ensemble and explore its properties. We show the usefulness of this quantifier by calculating the quantumness of six important pure-state ensembles. Furthermore, we compare our quantumness with other existing ones and show their features as well as orderings., Comment: 18pages,6figures
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- 2022
- Full Text
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10. The n-th Decay Rate of Coherence for Bell-diagonal States Under Quantum Channels
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Zhaoqi Wu, Huaijing Huang, and Shao-Ming Fei
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Physics ,Quantum Physics ,Kullback–Leibler divergence ,Physics and Astronomy (miscellaneous) ,010308 nuclear & particles physics ,General Mathematics ,Diagonal ,Skew ,FOS: Physical sciences ,Quantum channel ,01 natural sciences ,Amplitude ,Quantum state ,Quantum mechanics ,0103 physical sciences ,Quantum Physics (quant-ph) ,010306 general physics ,Quantum ,Coherence (physics) - Abstract
We study the degree to which the coherence of quantum states is affected by noise. We give the definition of the $n$-th decay rate and investigate the coherence of Bell-diagonal states under $n$ iterations of channels. We derive explicit formulas of the $n$-th decay rates based on $l_1$ norm of coherence, relative entropy of coherence and skew information-based coherence. It is found that the larger $n$ is, the faster the $n$-th decay rate decreases as the parameter $p$ of Bell-diagonal states increases. Moreover, for any fixed $n$, with the increase of $p$, Bell-diagonal states can be completely incoherent under generalized amplitude damping (GAD) channels, depolarization (DEP) channels and phase flip (PF) channels, while this is not the case for bit flip (BF) channels and bit-phase flip (BPF) channels. We also investigate the geometry of the relative entropy of coherence and skew information-based coherence of Bell-diagonal states under different channels when the $n$-th decay rate is one, i.e., the coherence is frozen. It is shown that compared with BF and BPF channels, when $n$ is large enough, the coherence of Bell-diagonal states will not be frozen under GAD, DEP and PF channels. For skew information-based coherence, similar properties of coherence freezing are found.
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- 2020
11. Quantifying the quantumness of ensembles via generalized α-z-relative rényi entropy
- Author
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Chuanxi Zhu, Zhaoqi Wu, Shao-Ming Fei, and Huaijing Huang
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Physics and Astronomy (miscellaneous) ,010308 nuclear & particles physics ,General Mathematics ,Monotonic function ,Coherence (statistics) ,01 natural sciences ,Unitary state ,Measure (mathematics) ,Rényi entropy ,0103 physical sciences ,Statistical physics ,Quantum information ,010306 general physics ,Commutative property ,Quantum ,Mathematics - Abstract
Quantifying the quantumness of ensembles is a vital and practical task in quantum information theory. In this paper, we quantify the quantumness of quantum ensembles based on a quantifier of the coherence of ensembles via generalized α-z-relative Renyi entropy. It is shown that this measure satisfies the intuitive and desirable properties which are required by a measure of quantumness, such as positivity, unitary invariance, monotonicity under any commutativity preserving operations and so on. The relationship between our measure and some existing measures for quantumness of quantum ensembles is discussed. Detailed examples are presented to some important ensembles to illustrate the quantumness given by our measure.
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- 2020
12. Confidence Skewing Problem and Its Correction Method in Mimic Arbitration Mechanism
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Zhaoqi Wu, Jin Wei, Fan Zhang, Wenle Zhou, Wei Guo, and Jiangxing Wu
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Correction method ,Network security ,business.industry ,Mechanism (biology) ,Computer science ,Applied Mathematics ,computer.software_genre ,Maintenance engineering ,Arbitration ,Statistical analysis ,Data mining ,Electrical and Electronic Engineering ,Logistic function ,business ,computer - Published
- 2020
13. Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information
- Author
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Lin Zhang, Xianqing Li-Jost, Jianhui Wang, Shao-Ming Fei, and Zhaoqi Wu
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Physics ,Quantum Physics ,Physics and Astronomy (miscellaneous) ,Relation (database) ,010308 nuclear & particles physics ,General Mathematics ,Skew ,FOS: Physical sciences ,01 natural sciences ,0103 physical sciences ,Core (graph theory) ,Statistical physics ,Quantum information ,Quantum Physics (quant-ph) ,010306 general physics - Abstract
Uncertainty relation is a core issue in quantum mechanics and quantum information theory. We introduce modified generalized Wigner-Yanase-Dyson (MGWYD) skew information and modified weighted generalizedWigner-Yanase-Dyson (MWGWYD) skew information, and establish new uncertainty relations in terms of the MGWYD skew information and MWGWYD skew information., 16 pages
- Published
- 2019
14. Characterizing the quantumness of mixed-state ensembles via the coherence of Gram matrix with generalized α-z-relative Rényi entropy
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Wendao Yuan, Zhaoqi Wu, and Shao-Ming Fei
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Physics and Astronomy (miscellaneous) ,Instrumentation - Abstract
The Gram matrix of an ensemble of pure states can be regarded as a quantum state, and the quantumness of the ensemble can be quantified by the coherence of the Gram matrix. By using the affinity between mixed states, the concept of Gram matrix of pure-state ensembles can be extended to the one of mixed-state ensembles. By utilizing the generalized α-z-relative Rényi entropy of coherence of Gram matrices, we present a new quantifier of quantumness of mixed-sate ensembles and further reveal its peculiar properties. To illustrate our quantumness of mixed-sate ensembles, we also calculate the quantumness for some detailed mixed-sate ensembles by deriving their analytical formulae.
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- 2022
15. Uncertainty and complementarity relations based on generalized skew information
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Shao-Ming Fei, Huaijing Huang, and Zhaoqi Wu
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Algebra ,Quantum Physics ,Operator (physics) ,Complementarity (molecular biology) ,Core (graph theory) ,Skew ,FOS: Physical sciences ,General Physics and Astronomy ,Quantum information ,Quantum Physics (quant-ph) ,Mathematics - Abstract
Uncertainty relations and complementarity relations are core issues in quantum mechanics and quantum information theory. By use of the generalized Wigner-Yanase-Dyson (GWYD) skew information, we derive several uncertainty and complementarity relations with respect to mutually unbiased measurements (MUMs), and general symmetric informationally complete positive operator valued measurements (SIC-POVMs), respectively. Our results include some existing ones as particular cases. We also exemplify our results by providing a detailed example., 7 pages
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- 2021
16. Geometry of skew information-based quantum coherence
- Author
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Huaijing Huang, Zhaoqi Wu, Xianqing Li-Jost, and Shao-Ming Fei
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Physics ,Quantum Physics ,Kullback–Leibler divergence ,Physics and Astronomy (miscellaneous) ,Basis (linear algebra) ,Isotropy ,Skew ,FOS: Physical sciences ,Coherence (statistics) ,Quantum state ,Statistical physics ,Quantum Physics (quant-ph) ,Quantum ,Mutually unbiased bases - Abstract
We study the skew information-based coherence of quantum states and derive explicit formulas for Werner states and isotropic states in a set of autotensor of mutually unbiased bases (AMUBs). We also give surfaces of skew information-based coherence for Bell-diagonal states and a special class of X states in both computational basis and in mutually unbiased bases. Moreover, we depict the surfaces of the skew information-based coherence for Bell-diagonal states under various types of local nondissipative quantum channels. The results show similar as well as different features compared with relative entropy of coherence and l1 norm of coherence., 18 pages
- Published
- 2021
17. Approximate coincidence point and common fixed point results for a hybrid pair of mappings with constraints in partially ordered Menger PM-spaces
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Mengdi Liu, Zhaoqi Wu, Chuanxi Zhu, and Chen Chunfang
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Pure mathematics ,Set-valued mapping ,Approximate coincidence point ,Applied Mathematics ,lcsh:Mathematics ,010102 general mathematics ,Construct (python library) ,Nonlinear integral equation ,Menger PM-space ,lcsh:QA1-939 ,01 natural sciences ,Common fixed point ,010101 applied mathematics ,Metric (mathematics) ,Partial order ,Discrete Mathematics and Combinatorics ,0101 mathematics ,Coincidence point ,Analysis ,Mathematics - Abstract
We study an approximate coincidence point and a common fixed point problem for a hybrid pair of mappings with constraints in Menger PM-spaces, and obtain some new results. We derive interesting consequences of the main results by using the properties of a Menger–Hausdorff metric, and analogous results based on graphs instead of partial orders can be similarly formulated. Moreover, we construct two examples to reveal that the main results are valid, and show that the main results can be used to explore the existence of solutions to a system of nonlinear integral equations.
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- 2019
18. Some new theorems for cyclic contractions in G-metric spaces and some applications
- Author
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Chen Chunfang, Chuanxi Zhu, Min Liang, and Zhaoqi Wu
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0209 industrial biotechnology ,Class (set theory) ,Pure mathematics ,Applied Mathematics ,Fixed-point theorem ,020206 networking & telecommunications ,02 engineering and technology ,Fixed point ,Integral equation ,Computational Mathematics ,Metric space ,020901 industrial engineering & automation ,Operator (computer programming) ,Ordinary differential equation ,0202 electrical engineering, electronic engineering, information engineering ,Uniqueness ,Mathematics - Abstract
In this paper, some new theorems for various cyclic contractions are established in Gb-metric spaces to discuss the existence and uniqueness of the solutions for a class of the operator equations, which generalize many known results in corresponding literatures. On the other hand, we introduce the notion of the cyclic α-ψφ-contractive mappings in Gb-metric spaces and establish a new fixed point theorem, which is applied to consider the existence of the solutions of the integral equations and ordinary differential equations. Moreover, some examples are given to support our main results.
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- 2019
19. Some φ-coupled fixed point results via modified F-control function’s concept in metric spaces and its applications
- Author
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Chuanxi Zhu, Yifan Fan, and Zhaoqi Wu
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Pure mathematics ,Applied Mathematics ,Fixed-point theorem ,010103 numerical & computational mathematics ,Fixed point ,01 natural sciences ,Integral equation ,Control function ,010101 applied mathematics ,Computational Mathematics ,Metric space ,Matrix (mathematics) ,Monotone polygon ,0101 mathematics ,Mathematics - Abstract
The aim of this paper is to propose a new φ -coupled fixed point theorem for a mixed monotone mapping in a metric space, which is taken no account of the continuity of the mapping. To this end, we introduce the notions of φ -coupled fixed point and modified F -control function. Our obtained results are applied to derive some φ -coupled fixed point theorems in partial metric spaces and quasi-metric spaces, respectively. Some applications to matrix equations and integral equations are also presented so as to illustrate our results.
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- 2019
20. Joint Activity Localization and Recognition with Ultra Wideband based on Machine Learning and Compressed Sensing
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Yuanchen Zhao, Ruogu Jin, Zhaoqi Wu, Kangnan Dong, Long Cheng, and Wang Yifan
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Signal processing ,business.industry ,Computer science ,Ultra-wideband ,020206 networking & telecommunications ,Robotics ,02 engineering and technology ,Machine learning ,computer.software_genre ,Task (project management) ,Real-time locating system ,Activity recognition ,Compressed sensing ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Artificial intelligence ,Joint (audio engineering) ,business ,computer - Abstract
Joint human activity localization and recognition has broad application prospects in human-computer interaction, virtual reality, smart healthcare system, security monitoring and robotics. Ultra-wideband (UWB) is an emerging technology adopted in real-time location system (RTLS) and has shown satisfactory performance in the task of human activity localization. However, few studies have been carried out to simultaneously recognize human activities based on UWB RTLS, which limits the use of UWB RTLS in many applications. In this study, we develop a RTLS based on UWB for the joint task of activity localization and recognition. A compressed sensing-based activity recognition approach is proposed for the task of activity recognition and several machine learning methods are designed to further improve the activity localization accuracy for the task of activity localization. The experimental results show that our UWB RTLS achieves good performance in this joint task.
- Published
- 2021
21. Average skew information-based coherence and its typicality for random quantum states
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Xianqing Li-Jost, Lin Zhang, Shao-Ming Fei, and Zhaoqi Wu
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Statistics and Probability ,Quantum Physics ,Skew ,General Physics and Astronomy ,FOS: Physical sciences ,Statistical and Nonlinear Physics ,State (functional analysis) ,Coherence (statistics) ,01 natural sciences ,010305 fluids & plasmas ,Quantum state ,Modeling and Simulation ,Bounded function ,0103 physical sciences ,State space ,Almost surely ,Statistical physics ,010306 general physics ,Quantum Physics (quant-ph) ,Mathematical Physics ,Subspace topology ,Mathematics - Abstract
We study the average skew information-based coherence for both random pure and mixed states. The explicit formulae of the average skew information-based coherence are derived and shown to be the functions of the dimension N of the state space. We demonstrate that as N approaches to infinity, the average coherence is 1 for random pure states, and a positive constant less than 1/2 for random mixed states. We also explore the typicality of average skew information-based coherence of random quantum states. Furthermore, we identify a coherent subspace such that the amount of the skew information-based coherence for each pure state in this subspace can be bounded from below almost always by a fixed number that is arbitrarily close to the typical value of coherence., 24pages
- Published
- 2021
22. Ultra Wideband Indoor Positioning System based on Artificial Intelligence Techniques
- Author
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Zhaoqi Wu, Anguo Zhao, Bo Lai, Yuanting Wang, Qiang Yang, and Long Cheng
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Signal processing ,Multipath interference ,Computer science ,business.industry ,Ultra-wideband ,020206 networking & telecommunications ,Ranging ,02 engineering and technology ,Kalman filter ,Radio navigation ,Field (computer science) ,Indoor positioning system ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Artificial intelligence ,business - Abstract
High-precision indoor positioning has nowadays emerged as a critical function for many applications. However, many existing indoor positioning systems either fail to achieve a high positioning accuracy or are very easily affected by indoor environments composed of many obstacles, preventing them from satisfying many application requirements. Ultra wideband (UWB) has recently drawn extensive attention in the field of indoor positioning due to its great ability to achieve high ranging and localization accuracy while minimizing the effect of multipath interference. Meanwhile, advanced artificial intelligence and signal processing techniques have been explored to improve the precision and performance of indoor positioning system. In this paper, a high-precision UWB indoor positioning system integrating artificial intelligence and signal processing techniques is designed. And field tests are also conducted to validate the design of the system.
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- 2020
23. The mitochondrial calcium uniporter induces apoptosis in cardiomyocytes cultured with high-glucose medium by affecting mitochondrial function
- Author
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Xia Chen, Zhaoqi Wu, Hengqiang Cui, Hui Chen, Tao Zhang, Zhe Jing, Wenyun Guo, Yongqing Chen, and Wenxue Zheng
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Apoptosis ,Chemistry ,High glucose ,Mitochondrial calcium uniporter ,Function (biology) ,Cell biology - Abstract
Background As the number of diabetics worldwide continues to increase, diabetic cardiomyopathy has become one of the main causes of cardiovascular disease risk in diabetic patients. Currently, the pathophysiological mechanism of DCM has not been fully elucidated. In the present study, relevant pathological changes of cardiomyocytes in the high glucose environment were simulated by in vitro culture of rat H9C2 cardiomyocytes, to explore the mechanism by which MCU induces apoptosis in cardiomyocytes. Method: Cultured rat myocardium H9C2 cells in vitro and divided into high glucose group (glucose concentration 33 mmol/L), normal group (glucose concentration 5.5 mmol/L), experimental group (5.5 mmol/L glucose and transfected with MCU siRNA) and control group (5.5 mmol/L glucose and transfected negative control siRNA). Comparative analysis of MCU expression, Ca2+ uptake, mitochondrial function, oxidative stress and apoptosis of two groups of cells. Results (1) Compared with normal group, in the high glucose group the MCU expression of myocardial cells in H9C2 rats decreased, The Ca2+ levels, membrane potential and mitochondrial ATP levels decreased, mitochondrial ROS levels increased, NADH+/NADPH ratio in cardiomyocytes increased, GSH/GSSG ratio decreased, the expression levels of cleaved caspase-3 and cleaved caspase-9 increased, bcl-2 expression decreased, the number of cardiomyocytes apoptotic cells increases. (2) Compared with the normal group and the control group, the experimental group MCU expression of myocardial cells in H9C2 rats decreased, The Ca2+ levels, membrane potential and mitochondrial ATP levels decreased, mitochondrial ROS levels increased, NADH+/NADPH ratio in cardiomyocytes increased, GSH/GSSG ratio decreased, the expression levels of cleaved caspase-3 and cleaved caspase-9 increased, bcl-2 expression decreased, the number of cardiomyocytes apoptotic cells increases. Discussion This study suggested that MCU expression in rat H9C2 cardiomyocytes was decreased in the high glucose environment, causing abnormal mitochondrial calcium uptake and imbalanced calcium homeostasis, which may further contribute to mitochondrial dysfunction and enhanced oxidative stress in cardiomyocytes. Mitochondrial dysfunction and enhanced oxidative stress ultimately led to apoptosis in cardiomyocytes.
- Published
- 2020
24. Power Quality Disturbance Classification based on Adaptive Compressed Sensing and Machine Learning
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Hao Chang, Shiang Xuanyuan, Zhaoqi Wu, and Long Cheng
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Computer science ,business.industry ,Random projection ,Machine learning ,computer.software_genre ,Signal ,k-nearest neighbors algorithm ,ComputingMethodologies_PATTERNRECOGNITION ,Compressed sensing ,Near neighbor ,Power quality ,Classification methods ,Artificial intelligence ,business ,computer ,Curse of dimensionality - Abstract
The application of compressed sensing and machine learning in power quality disturbance (PQD) classification has drawn more and more attention. This paper presents an adaptive compressed sensing and machine learning (ACSML) method to classify both single PQD and combined PQDs with the consideration of the correlation and the sparsity properties in the PQD signals. This method first uses random projection to reduce the dimensionality of the PQD signals. Meanwhile, a simplified near neighbor algorithm is proposed to reduce the size of the required PQD signal training dataset. The PQD classification problem is finally solved using an adaptive compressed sensing classification algorithm. Experiment results show that the proposed ACSML method achieves higher classification accuracy and faster classification speed in classifying PQDs than the other existing compressed sensing based PQD classification methods.
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- 2020
25. Real Time Indoor Positioning System for Smart Grid based on UWB and Artificial Intelligence Techniques
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Long Cheng, Zhaoqi Wu, Kexin Wang, and Hao Chang
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Multipath interference ,business.industry ,Computer science ,020208 electrical & electronic engineering ,010401 analytical chemistry ,Ranging ,02 engineering and technology ,GPS signals ,01 natural sciences ,0104 chemical sciences ,law.invention ,Positioning technology ,Bluetooth ,Smart grid ,Indoor positioning system ,law ,0202 electrical engineering, electronic engineering, information engineering ,Global Positioning System ,Artificial intelligence ,business - Abstract
Indoor positioning system plays an important role in smart grid. Although GPS is the predominant outdoor positioning technology, it is unsuitable to be used in many fields of smart grid for three main reasons: first, signals sent from GPS could easily get blocked by solid materials such as metal or brick; second, the complex electromagnetic interference induced by electrical circuits greatly affects GPS signals; third, GPS can only achieve meter-level real time positioning accuracy, which is far from sufficient for many requirements of smart grid applications. Some other indoor positioning technologies, such as Bluetooth, Wi-Fi, ultrasound, infrared and RFID, fail in either the positioning accuracy, the positioning range, or the positioning speed required in many smart grid applications. Therefore, this paper proposes a real time indoor positioning system for smart gird based on a more promising technology, ultra-wideband (UWB). UWB is suitable for real-time localization in smart grid because UWB has short radio frequency pulse duration and wide bandwidth, which can minimize the effects of multipath interference and allow for high-resolution ranging and easier material penetration. In addition, since high-accuracy position information is required in many smart grid fields, a comprehensive framework integrating several artificial intelligence techniques, including outlier detection, line-of-sight/non-line-of-sight classification, filter design, range measurement correction and maximum likelihood localization estimation, is also proposed to further improve the positioning accuracy. At last, the performance of this system is verified through a series of experiments.
- Published
- 2020
26. Adaptive Compressive Sensing and Machine Learning for Power System Fault Classification
- Author
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Kangnan Dong, Zhaoqi Wu, Rusheng Duan, and Long Cheng
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0209 industrial biotechnology ,Computer science ,business.industry ,Random projection ,020206 networking & telecommunications ,02 engineering and technology ,Machine learning ,computer.software_genre ,Fault (power engineering) ,k-nearest neighbors algorithm ,Electric power system ,Statistical classification ,020901 industrial engineering & automation ,Compressed sensing ,0202 electrical engineering, electronic engineering, information engineering ,Artificial intelligence ,business ,Focus (optics) ,computer ,Curse of dimensionality - Abstract
Compressive sensing related methods have achieved success in power system fault classification. However, those methods, either only focus on sparsity without considering the correlation within power system fault signals, or emphasize too much on the correlation but neglect the sparsity property of power system fault signals, resulting in the decrease of classification precision and the increase of the number of training samples needed. In addition, those methods do not explore other machine learning techniques at the same time to further improve the classification accuracy and speed. To overcome the drawbacks and limitations of those methods, this paper proposes an adaptive compressive sensing and machine learning classification framework to quickly and accurately classify power system faults considering both the correlation and the sparsity properties inherited in power system fault signals. First, random projection is applied to reduce the dimensionality of the fault signal. Second, a k-nearest neighbor based algorithm is designed to reduce the number of fault signals needed in the training dataset. Finally, the classification of power system faults is formulated as solving an adaptive L1-norm and L2-norm combined objective function using an alternating direction optimization method. Simulation results and analyses show that the proposed framework has better performance than the existing compressive sensing based power system faulty classification methods in both accuracy and speed.
- Published
- 2020
27. Coherence and complementarity based on modified generalized skew information
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Shao-Ming Fei, Lin Zhang, Xianqing Li-Jost, and Zhaoqi Wu
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Quantum Physics ,Analytical expressions ,Skew ,FOS: Physical sciences ,Statistical and Nonlinear Physics ,01 natural sciences ,Complementarity (physics) ,010305 fluids & plasmas ,Theoretical Computer Science ,Electronic, Optical and Magnetic Materials ,Modeling and Simulation ,Qubit ,0103 physical sciences ,Signal Processing ,Applied mathematics ,Electrical and Electronic Engineering ,Quantum Physics (quant-ph) ,010306 general physics ,Quantum ,Mathematics ,Quantum computer - Abstract
We introduce modified generalized Wigner-Yanase-Dyson (MGWYD) skew information and modified weighted generalized Wigner-Yanase-Dyson (MWGWYD) skew information. By revisiting state-channel interaction based on MGWYD skew information, a family of coherence measures with respect to quantum channels is proposed. Furthermore, explicit analytical expressions of these coherence measures of qubit states are derived with respect to different quantum channels. Moreover, complementarity relations based on MGWYD skew information and MWGWYD skew information are also presented. Specifically, the conservation relations are investigated, while two interpretations of them including symmetry-asymmetry complementarity and wave-particle duality have been proposed., 20pages
- Published
- 2020
28. Regularized Multiset Neighborhood Correlation Analysis for Semi-paired Multiview Learning
- Author
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Jipeng Qiang, Yun-Hao Yuan, Zhaoqi Wu, Jianping Gou, Yun Li, and Yi Zhu
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Multiset ,Paired Data ,business.industry ,Computer science ,Dimensionality reduction ,Feature extraction ,Pattern recognition ,02 engineering and technology ,Overfitting ,020204 information systems ,Correlation analysis ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Artificial intelligence ,Canonical correlation ,business ,Multiview learning - Abstract
Canonical correlation analysis (CCA) is a popular and powerful technique for two-view dimension reduction and feature extraction. But, CCA is not able to directly handle more than two view data and has a rigorous assumption that all the samples from two different views are paired. However, practical multiple view data are often semi-paired. To address this problem, we in this paper propose a novel semi-paired multiview dimension reduction approach, which takes cross-view neighborhood relationship among semi-paired data and within-view global structure information into consideration. The proposed approach can not only deal with multiview (more than two) data, but also take sufficient advantage of unpaired multiview data and then mitigate overfitting effectively caused by the limited paired data. Experimental results on two benchmark data sets demonstrate the effectiveness of our proposed method.
- Published
- 2020
29. Information transfer in generalized probabilistic theories based on weak repeatability
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Xianqing Li-Jost, Shao-Ming Fei, Zhaoqi Wu, and Lin Zhang
- Subjects
Information transfer ,Quantum Physics ,Physics and Astronomy (miscellaneous) ,Series (mathematics) ,General Mathematics ,Physical system ,Probabilistic logic ,FOS: Physical sciences ,Repeatability ,law.invention ,Transformation (function) ,Invertible matrix ,law ,Statistical physics ,Quantum Physics (quant-ph) ,Mathematics - Abstract
Information transfer in generalized probabilistic theories (GPT) is an important problem. We have dealt with the problem based on repeatability postulate, which generalizes Zurek's result to the GPT framework [Phys. Lett. A \textbf{379} (2015) 2694]. A natural question arises: can we deduce the information transfer result under weaker assumptions? In this paper, we generalize Zurek's result to the framework of GPT using weak repeatability postulate. We show that if distinguishable information can be transferred from a physical system to a series of apparatuses under the weak repeatability postulate in GPT, then the initial states of the physical system must be completely distinguishable. Moreover, after each step of invertible transformation, the composite states of the composite system composed of the physical systems and the apparatuses must also be completely distinguishable., 11 pages
- Published
- 2019
30. Three-component Strategy for Synthesis of Dihydropyrido[2,3-d ]pyrimidine and Spirooxindole Derivatives
- Author
-
Hongdie Li, Xiaorong Ren, Chunmei Li, Zhaoqi Wu, Ting Sun, and Furen Zhang
- Subjects
chemistry.chemical_compound ,Pyrimidine ,chemistry ,010405 organic chemistry ,Component (thermodynamics) ,Stereochemistry ,Organic Chemistry ,010402 general chemistry ,01 natural sciences ,0104 chemical sciences - Published
- 2018
31. Predictive Modeling of Depression with a Large Claim Dataset
- Author
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Zhaoqi Wu, Andrew Heath, Mark L. Homer, Yugang Jia, Riyi Qiu, and Vasu Kodali
- Subjects
0301 basic medicine ,education.field_of_study ,Actuarial science ,High prevalence ,Population ,Cost approach ,Mental health ,Random forest ,03 medical and health sciences ,030104 developmental biology ,0302 clinical medicine ,Back pain ,medicine ,Leverage (statistics) ,Medical diagnosis ,medicine.symptom ,education ,Psychology ,health care economics and organizations ,030217 neurology & neurosurgery - Abstract
Depression has been a major concern for the employers due to its high prevalence and cost. In United States, 6.8% of the work population had depression and it is accountable for over $100 billion workplace loss every year. Early detection and timely intervention is the key to address this challenge. In this paper, we proposed to leverage a large claim dataset to build depression risk prediction model. This approach is easy to implement and scale because the claim data is accessible for employers at no additional cost. We derived a subset of over 7.2 million patients in a 3-year period, with 2,099 variables including the diagnosis, procedure, medication, and health service provider information. We trained two models (Least Absolute Shrinkage and Selection Operator (LASSO) and random forest *RF)) with first two years data to predict the onset of depression in the third year. Both models achieved the best comparable performance so far according to our knowledge. The important variables identified by our algorithms are mental health related medications and diagnoses (other than depression), gender (female), and other chronic conditions such as back pain. We further validated these variables by confirming in clinical literature. We concluded that the claim data based depression prediction is a viable and low cost approach, especially for self-insured employers.
- Published
- 2019
32. Some results for common fixed point on $\varphi$-contractions in k-partially ordered fuzzy metric space
- Author
-
Jiaming Jin, Zhaoqi Wu, Haochen Wu, and Chuanxi Zhu
- Subjects
Least fixed point ,Discrete mathematics ,Algebra and Number Theory ,Injective metric space ,Metric (mathematics) ,Common fixed point ,Product metric ,Fixed-point property ,Analysis ,Intrinsic metric ,Convex metric space ,Mathematics - Published
- 2017
33. Fixed point results for cyclic contractions in Menger PM-spaces and generalized Menger PM-spaces
- Author
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Zhaoqi Wu, Chenggui Yuan, and Chuanxi Zhu
- Subjects
Pure mathematics ,Algebra and Number Theory ,Applied Mathematics ,010102 general mathematics ,Mathematical analysis ,Mathematics::General Topology ,Fixed-point theorem ,Fixed point ,01 natural sciences ,010101 applied mathematics ,Computational Mathematics ,Mathematics::K-Theory and Homology ,Geometry and Topology ,0101 mathematics ,Analysis ,Mathematics - Abstract
In this paper, we introduce the concepts of cyclic $$\varphi $$ -contractions in Menger PM-spaces and cyclic weak $$\phi $$ -contractions in generalized Menger PM-spaces. Based on these concepts, some fixed point results for cyclic $$\varphi $$ -contractions in Menger PM-spaces are obtained. Furthermore, some fixed point theorems for cyclic weak $$\phi $$ -contractions and cyclic $$\varphi $$ -contractions in generalized Menger PM-spaces are obtained by assuming that the number of cyclic sets is odd. An example is also given to show the validity of our main results.
- Published
- 2017
34. New multipled common fixed point theorems in Menger PMT-spaces
- Author
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Cuiru Ji, Zhaoqi Wu, and Chuanxi Zhu
- Subjects
Discrete mathematics ,Algebra and Number Theory ,Common fixed point ,Analysis ,Mathematics - Published
- 2017
35. Fixed point results for (α,η,ψ,ξ)-contractive multi-valued mappings in Menger PM-spaces and their applications
- Author
-
Zhaoqi Wu, Chuanxi Zhu, and Chenggui Yuan
- Subjects
010101 applied mathematics ,Pure mathematics ,General Mathematics ,010102 general mathematics ,0101 mathematics ,Fixed point ,01 natural sciences ,Multi valued ,Mathematics - Abstract
In this paper, we obtain some new fixed point theorems for (?,?,?,?) -contractive multi-valued mappings in ?-?-T-complete Menger PM-spaces, which turn out to generalize many results in existing literatures. Some examples are also given to illustrate the definition and support our new results. Moreover, some interesting fixed point results endowed with binary relations or graphs are derived as applications of our main results.
- Published
- 2017
36. Fixed points of the multifunction concerning F -contractions in partial metric spaces
- Author
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Zhaoqi Wu, Chuanxi Zhu, and Qianwen Yu
- Subjects
Pure mathematics ,Metric space ,Algebra and Number Theory ,Fixed point ,Analysis ,Mathematics - Published
- 2016
37. Heterogeneous Executors Scheduling Algorithm for Mimic Defense Systems
- Author
-
Zhaoqi Wu and Jin Wei
- Subjects
Service quality ,Computer science ,Random seed ,Quality of service ,Distributed computing ,0202 electrical engineering, electronic engineering, information engineering ,Arbiter ,020206 networking & telecommunications ,02 engineering and technology ,Executor ,Dynamic balance ,020202 computer hardware & architecture ,Scheduling (computing) - Abstract
A key aspect of the mimetic defense system is the scheduling of heterogeneous executions to ensure that the system is dynamic. The existing scheduling strategy only performs random scheduling to satisfy heterogeneity and service quality. Combined with the historical information of the arbiter in the mimicry defense system, this paper proposed a random seed scheduling algorithm based on historical confidence for maximum heterogeneity and quality of service. First, the seed performer is randomly selected in the historical confidence executor that satisfies the threshold, and then the scheduling scheme is determined according to the maximum heterogeneity type and the quality of service indicator. The simulation results showed that the scheduling period of the algorithm is lower than the random scheduling algorithm. However, the scheduling effect is higher than the random scheduling algorithm, which achieved a good dynamic balance between dynamics, security, and quality of service.
- Published
- 2019
38. Coupled Coincidence Point and Fixed Point Results for Mixed Monotone Mappings and an Application to Integro-differential Equations
- Author
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Chuanxi Zhu, Zhaoqi Wu, Yifan Fan, and Youqing Shen
- Subjects
Differential equation ,General Mathematics ,010102 general mathematics ,Mathematical analysis ,Fixed-point theorem ,Fixed point ,01 natural sciences ,010101 applied mathematics ,Monotone polygon ,Initial value problem ,Uniqueness ,0101 mathematics ,Coincidence point ,Mathematics - Abstract
In this paper, we propose some new coupled coincidence point and fixed point theorems for the mappings F and g. Our results are obtained by exploring the corresponding initial value problems for the mapping F and weakening the involved contractive conditions. As an application, we study the existence and uniqueness of solution to integro-differential equations.
- Published
- 2019
39. The Mix Ratio Study of Self-Stressed Anti-Washout Underwater Concrete Used in Nondrainage Strengthening
- Author
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Sheng Shen, Wu Shaofeng, Shao-Fei Jiang, and Zhaoqi Wu
- Subjects
Materials science ,0211 other engineering and technologies ,020101 civil engineering ,02 engineering and technology ,Strength loss ,nondrainage strengthening ,lcsh:Technology ,self-stressed anti-washout underwater concrete (SSAWC) ,Article ,Range analysis ,0201 civil engineering ,021105 building & construction ,General Materials Science ,Underwater ,lcsh:Microscopy ,orthogonal test design ,Interfacial bond ,lcsh:QC120-168.85 ,lcsh:QH201-278.5 ,business.industry ,lcsh:T ,Washout ,Structural engineering ,Orthogonal test design ,Compressive strength ,mix ratio ,lcsh:TA1-2040 ,lcsh:Descriptive and experimental mechanics ,lcsh:Electrical engineering. Electronics. Nuclear engineering ,business ,lcsh:Engineering (General). Civil engineering (General) ,Expansive ,lcsh:TK1-9971 ,optimization - Abstract
Anti-washout underwater concrete (AWC) is widely used in nondrainage strengthening, however, there still exist some problems with it, such as high strength loss and poor interfacial bond in practical engineering application. Based on the study of self-stressed concrete (SSC), a research on the mix ratio for the C30 self-stressed anti-washout underwater concrete (SSAWC) was carried out in this paper in hope of solving the above problems, specifically, by adding an expansive agent to the AWC. The parameters, such as strength, fluidity, anti-dispersity, and expansibility, were picked as target indices in determination of the mix ratio. The orthogonal test design and range analysis were used to determine the reasonable mix ratio and study the influence of various parameters on the performance of SSAWC. The experimental program conducted includes a series of strength, fluidity, anti-dispersity, and expansibility tests on 18 groups of specimens. The results show that C30 SSAWC has an excellent performance using the optimal mix ratio. Compared with AWC, the expansibility and self-stress of the SSAWC can be easily observed, and the compressive strength ratio of the SSAWC casted in water to that casted in air is much bigger. This implies that SSAWC is applicable to the nondrainage strengthening.
- Published
- 2019
- Full Text
- View/download PDF
40. Integration and Functionalization of Spatial Boundaries-A Case Study of Macau University of Science of Technology
- Author
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Lei Ding, Zhaoqi Wu, Yan Hui, and Jie Tang
- Subjects
Engineering ,business.industry ,Boundary (topology) ,Surface modification ,business ,Engineering physics - Published
- 2019
41. Deep Learning Models for Facial Expression Recognition
- Author
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Quan Wen, Atul Sajjanhar, and ZhaoQi Wu
- Subjects
Deep cnn ,Computer science ,business.industry ,Deep learning ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,Cognitive neuroscience of visual object recognition ,Pattern recognition ,02 engineering and technology ,010501 environmental sciences ,01 natural sciences ,Facial recognition system ,ComputingMethodologies_PATTERNRECOGNITION ,Facial expression recognition ,Face (geometry) ,0202 electrical engineering, electronic engineering, information engineering ,Benchmark (computing) ,020201 artificial intelligence & image processing ,Artificial intelligence ,Transfer of learning ,business ,0105 earth and related environmental sciences - Abstract
We investigate facial expression recognition using state-of-the-art classification models. Recently, CNNs have been extensively used for face recognition. However, CNNs have not been thoroughly evaluated for facial expression recognition. In this paper, we train and test a CNN model for facial expression recognition. The performance of the CNN model is used as benchmark for evaluating other pre-trained deep CNN models. We evaluate the performance of Inception and VGG which are pre-trained for object recognition, and compare these with VGG-Face which is pre-trained for face recognition. All experiments are performed on publicly available face databases, namely, CK+, JAFFE and FACES.
- Published
- 2018
42. Analytical Model for Initial Rotational Stiffness of Steel Beam to Concrete-Filled Steel Tube Column Connections with Bidirectional Bolts
- Author
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Dongsheng Li, Jinping Ou, Zhaoqi Wu, Yonghui An, and Zhou Guojie
- Subjects
Materials science ,business.industry ,Mechanical Engineering ,0211 other engineering and technologies ,Stiffness ,020101 civil engineering ,02 engineering and technology ,Building and Construction ,Structural engineering ,Column (database) ,0201 civil engineering ,Mechanics of Materials ,021105 building & construction ,medicine ,Steel tube ,General Materials Science ,Current (fluid) ,medicine.symptom ,business ,Beam (structure) ,Civil and Structural Engineering - Abstract
The initial rotational stiffness of connections is important for the design of semirigid frames. However, most current studies on steel beam to concrete-filled steel tube column connections...
- Published
- 2018
43. Some new fixed point theorems in generalized probabilistic metric spaces
- Author
-
Chuanxi Zhu, Zhaoqi Wu, and Cuiru Ji
- Subjects
Discrete mathematics ,Metric space ,Algebra and Number Theory ,Probabilistic logic ,Fixed-point theorem ,Analysis ,Mathematics - Published
- 2016
44. Some new coupled fixed point theorems in partially ordered complete probabilistic metric spaces
- Author
-
Chuanxi Zhu, Zhaoqi Wu, Qiang Tu, and Xiaohuan Mu
- Subjects
010101 applied mathematics ,Metric space ,Pure mathematics ,Algebra and Number Theory ,010102 general mathematics ,Probabilistic logic ,Fixed-point theorem ,0101 mathematics ,01 natural sciences ,Analysis ,Mathematics - Published
- 2016
45. Common fixed point theorems for compatible and weakly compatible maps in Menger probabilistic G-metric spaces
- Author
-
Chuanxi Zhu, Zhaoqi Wu, and Xiaohuan Mu
- Subjects
Metric space ,Pure mathematics ,Algebra and Number Theory ,Weakly compatible ,Probabilistic logic ,Common fixed point ,Analysis ,Mathematics - Published
- 2016
46. Random quadruple coincidence points theorems for sequence of random mappings and application
- Author
-
Xiaofang Yan, Chuanxi Zhu, and Zhaoqi Wu
- Subjects
Algebra and Number Theory ,Analysis - Published
- 2016
47. The solutions of a class of operator equations based on different inequality
- Author
-
Zhaoqi Wu, Chuanxi Zhu, and Xiaofang Yan
- Subjects
Algebra ,Class (set theory) ,Algebra and Number Theory ,Operator (computer programming) ,Inequality ,media_common.quotation_subject ,Analysis ,media_common ,Mathematics - Published
- 2016
48. Wave-Packet Collapse Based on Weak Repeatability or Covariant Condition
- Author
-
Jianhui Wang, Chuanxi Zhu, and Zhaoqi Wu
- Subjects
Physics ,Classical mechanics ,Physics and Astronomy (miscellaneous) ,Wave packet ,0103 physical sciences ,Collapse (topology) ,Covariant transformation ,Repeatability ,010306 general physics ,Unitary evolution ,01 natural sciences ,010305 fluids & plasmas ,Mathematical physics - Abstract
The conflict between the dynamics postulate (unitary evolution) and the measurement postulate (wave-packet collapse) of quantum mechanics has been reconciled by Zurek from an information transfer perspective [Phys. Rev. A 76 (2007) 052110], and has further been extended to a more general scenario [Phys. Rev. A 87 (2013) 052111]. In this paper, we reconsider Zurek's new derivation by using weak repeatability postulate or covariant condition instead of repeatability postulate.
- Published
- 2016
49. Some new fixed point theorems for single and set-valued admissible mappings in Menger PM-spaces
- Author
-
Chuanxi Zhu, Zhaoqi Wu, and Xiaozhi Zhang
- Subjects
Discrete mathematics ,Algebra and Number Theory ,Applied Mathematics ,010102 general mathematics ,Fixed-point theorem ,Fixed point ,Type (model theory) ,01 natural sciences ,Integral equation ,010101 applied mathematics ,Set (abstract data type) ,Computational Mathematics ,Alpha (programming language) ,Geometry and Topology ,0101 mathematics ,Analysis ,Mathematics - Abstract
In this paper, the new concepts of \(\alpha \)-admissible mappings with respect to \(\eta \) in single-valued case and \(\alpha _{*}\)-admissible mappings with respect to \(\eta _{*}\) in set-valued case in Menger PM-spaces are introduced, and some new fixed point results for both single-valued and set-valued mappings under certain contractive conditions are studied, which extend and generalize some results in corresponding literatures. Some examples are provided to illustrate the validity of our main results, and an application is also given to discuss the existence of solution for Volterra type integral equations.
- Published
- 2015
50. Common coupled fixed point results for probabilistic φ -contractions in Menger PGM-spaces
- Author
-
Zhaoqi Wu, Xiaohuan Mu, and Chuanxi Zhu
- Subjects
Pure mathematics ,Algebra and Number Theory ,Probabilistic logic ,Fixed point ,Analysis ,Mathematics - Published
- 2015
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