H1∩Lp versus C1 Local Minimizers by Yansheng Zhong

“…We show that a local minimizer of Φ in the C1 topology must be a local minimizer in the H1∩Lp topology, under suitable assumptions for the functional Φ=(1/2)∫Ω|∇u|2+(1/p)∫Ω|u|p−∫ΩF(x,u) with supercritical exponent p>2∗=2n/(n−2). …”
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Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval $(-1, 1)$ by Saadi, Faouaz, Daher, Radouan

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Indoor Pedestrian Positioning Tracking Algorithm with Sparse Anchor Nodes by Zhou Yong, Cai Zehui, Chen Pengpeng

“…In the proposed algorithm, the indoor topology is adopted to constrain and correct the results. …”
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The Embedding Theorem of an L0-Prebarreled Module into Its Random Biconjugate Space by Xia Zhang, Ming Liu

“…We first prove Mazur’s lemma in a random locally convex module endowed with the locally L0-convex topology. Then, we establish the embedding theorem of an L0-prebarreled random locally convex module, which says that if (S,P) is an L0-prebarreled random locally convex module such that S has the countable concatenation property, then the canonical embedding mapping J of S onto J(S)⊂(Ss⁎)s⁎ is an L0-linear homeomorphism, where (Ss⁎)s⁎ is the strong random biconjugate space of S under the locally L0-convex topology.…”
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A single-phase seven-level switched capacitor with common ground inverter and improved phase-shift modulation technique by Bisma Saif, Adil Sarwar, Shafiq Ahmad, Shiue-Der Lu, Hwa-Dong Liu

“…This article proposes a single-phase seven-level transformer-less with common ground topology. The proposed topology utilizes 10 switches, 4 capacitors and 1 diode. …”
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Amplitude Death in Extended Time-Delay Coupled Oscillator Networks by Shinsuke Mizukami, Keiji Konishi, Koki Yoshida, Yoshiki Sugitani, Naoyuki Hara

“…These ranges depend on the number of oscillators and the network topology. Thus, for situations where the number of oscillators and/or network topology are unknown, one cannot determine the delay time that induces amplitude death. …”
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Energy Efficient Clustering Based Network Protocol Stack for 3D Airborne Monitoring System by Abhishek Joshi, Sarang Dhongdi, Rishabh Sethunathan, Pritish Nahar, K. R. Anupama

“…Usually, most of the application areas of WSNs require two-dimensional (2D) topology. Various emerging application areas such as airborne networks and underwater wireless sensor networks are usually deployed using three-dimensional (3D) network topology. …”
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Pythagorean Nanogeneralized Closed Sets with Application in Decision-Making by D. Ajay, J. Joseline Charisma, T. Petaratip, P. Hammachukiattikul, N. Boonsatit, Jihad A. Younis, G. Rajchakit

“…Topology is similar in geometrical structures and quantitatively equivalent. …”
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Pengembangan Aplikasi Pemantauan Jaringan Berbasis Web pada Software-Defined Networking dengan Protokol SFLOW by Muhammad Ilham, Nur Rohman Rosyid

“…Hasil pengembangan aplikasi menghasilkan tiga buah fitur utama yaitu topologi, grafik traffic, dan laporan. Visualisasi topologi dibuat berdasarkan data topologi dari API ONOS dan ditampilkan menggunakan pustaka vis.js. …”
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New Rough Approximations Based on E-Neighborhoods by Tareq M. Al-shami, Wen Qing Fu, E. A. Abo-Tabl

“…This paper puts forward some rough approximations which are motivated from topology. Given a subset R⊆U×U, we can use 8 types of E-neighborhoods to construct approximations of an arbitrary X⊆U on the one hand. …”
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The Intertemporal Evolution Model of Enterprise R&D Cooperative Network by Rongguo Qiu, Yutong Wang, Tingqiang Chen

“…Results show that (1) when the R&D network evolution reaches a stable state, the joint distribution of stock knowledge and the number of cooperative enterprises do not affect the initial R&D network topology. However, the evolution path of the enterprise R&D network is complicated by the initial R&D network topology. (2) Among the three factors through which enterprises make decisions, if the enterprise values previous history highly, then the stock knowledge in a steady state will dissipate; if the enterprise values reputation highly, then the stock knowledge in a steady state will decrease but always above a threshold; if the enterprise values attractiveness highly, then the stock knowledge in a steady state can rise to a high level. …”
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Towards accurate anomaly detection for cloud system via graph-enhanced contrastive learning by Zhen Zhang, Zhe Zhu, Chen Xu, Jinyu Zhang, Shaohua Xu

“…Moreover, complicated topological associations existed between cloud servers (e.g., computation, storage, and communication). …”
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Layered energy equalization structure for series battery pack based on multiple optimal matching by Jianfang Jiao, Hongwei Wang, Feng Gao, Serdar Coskun, Guang Wang, Jiale Xie, Fei Feng

“…Furthermore, a directed graph-based approach was proposed to represent the circuit topology equivalently as a multi-weighted network. …”
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A Comparative Study of Symmetrical Cockcroft-Walton Voltage Multipliers by Mohsen Ruzbehani

“…An easy to use table which summarized the characteristics of VMs was developed, which can be used as a decision mean for selecting of a topology based on the requirements. It is shown that, due to the application, sometimes a simple and not very famous topology is more effective than a famous one.…”
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Consensus Congestion Control in Multirouter Networks Based on Multiagent System by Xinhao Yang, Sheng Xu, Ze Li

“…The consensus congestion controller based on the multiagent system theory is designed for the multirouter topology, which improves the performance of the whole networks. …”
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A Clustering Algorithm Based on Mobility Properties in Mobile Ad Hoc Networks by Young-jun Oh, Kang-whan Lee

“…The existing algorithm in MANET has the limitations of the dynamic network topology and the absence of network expandability of the mobility of nodes. …”
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Some examples of nontrivial homotopy groups of modules by C. Joanna Su

“…The idea was to produce an analog of homotopy theory in topology. Yet, unlike homotopy theory in topology, there are two homotopy theories of modules, the injective theory, π¯n(A,B), and the projective theory, π¯n(A,B). …”
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Multiplex Network Embedding Model with High-Order Node Dependence by Nianwen Ning, Qiuyue Li, Kai Zhao, Bin Wu

“…Most existing multiplex network embedding methods only focus on intralayer and interlayer structural information while neglecting this dependence between node attributes and the topology of each layer. Attributes that are irrelevant to the network structure could affect the embedding quality of multiplex networks. …”
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Cluster Optimization in Mobile Ad Hoc Networks Based on Memetic Algorithm: memeHoc by Masood Ahmad, Abdul Hameed, Fasee Ullah, Atif Khan, Hashem Alyami, M. Irfan Uddin, Abdullah ALharbi

“…In mobile ad hoc networks (MANETs), the topology differs very often due to mobile nodes (MNs). …”
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An improved SPWM control approach with aid of ant lion optimization for minimizing the THD in multilevel inverters by Alaa M. Abdel-hamed, Abdelrahman M. Nasser, Hamdy Shatla, Amr Refky

“…Abstract This article presents an innovative asymmetric multilevel inverter (MLI) topology that outperforms conventional counterparts. …”
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