Convexities and Existence of the Farthest Point by Z. H. Zhang, C. Y. Liu

“…Under the assumption that Banach space 𝑋 is nearly very convex, we give a sufficient condition that bounded, weakly closed subset of 𝑋 has the farthest points. We also give a sufficient condition that the farthest point map is single valued in a residual subset of 𝑋 when 𝑋 is very convex.…”
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Farthest Points and Subdifferential in 𝑝-Normed Spaces by S. Hejazian, A. Niknam, S. Shadkam

“…We study the farthest point mapping in a 𝑝-normed space 𝑋 in virtue of subdifferential of 𝑟(𝑥)=sup{‖𝑥−𝑧‖𝑝∶𝑧∈𝑀}, where 𝑀 is a weakly sequentially compact subset of 𝑋. …”
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On Simultaneous Farthest Points in 𝐿∞(𝐼,𝑋) by Sh. Al-Sharif, M. Rawashdeh

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Modified Binary Partition Assisted Broadcast Protocol for Emergency Message Dissemination in VANET by Daiyue Cheng, Guoan Zhang, Xiang Ye

“…The protocol divided the communication range into small sectors, and sought the farthest possible nodes in the farthest sector from the sender node to be the forwarding node to increase the dissemination speed by reducing the forwarding hops. …”
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Vehicle density based multihop broadcast protocol in VANET by Jia-wei HUANG, Shao-hua ZHONG, Lian-hai LIU, Jian-xin WANG

“…However, it was demonstrated that the farthest forwarder may experience long contention delay in case of high vehicle density. …”
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Evaluating Adult Cystic Fibrosis Care in BC: Disparities in Access to a Multidisciplinary Treatment Centre by James M. Roberts, Pearce G. Wilcox, Bradley S. Quon

“…We hypothesized patients living farthest from a CF clinic would be seen less frequently than recommended, which would result in reduced access to guideline-recommended care and poorer health outcomes. …”
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Proximinality in geodesic spaces by A. Kaewcharoen, W. A. Kirk

“…If, in addition, C is bounded, then the set of points of X which have a unique farthest point in C is dense in X. A proximity result for set-valued mappings is also included.…”
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Effect of silane coupling agent on flexural properties of fiber-reinforced geopolymer-cemented aeolian sand by Shuai Pang, Jiaze Li, Mengjie Li, Changzhi Zhao, Henghui Fan, Xiangdong Zhang

“…In the three-point bending test, the maximum crack width was reduced by 54.96 %, the farthest crack extension was shortened by 6.80 mm, and the maximum generalized crack area decreased by 42.39 %. …”
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Deployment strategy for static chargers in WRSN by Hao HE, Yong-rui CHEN, Wei-dong YI, Ming LI

“…The traditional deployment strategy of static chargers in wireless rechargeable sensor networks (WRSN) covers all the area.The basic idea is to cover all the positions of nodes.A mathematical model of distance between a charger and the farthest node was established,the relationship between the number of nodes and the mathematical expectation of minimum radius of charging was analyzed,and deployment strategy for static chargers was proposed.The method based on the locations of all nodes that need to be charged in the area,used the smallest enclosing circle (SEC) algorithm and finds the optimal location of the charger through Euclidean delivery boy algorithm.It will decrease charging radius,reduce the minimum required transmitted power,thereby saving the average charging energy consumption.The experimental results demonstrated that the less the number locations that the nodes existed,the more energy will be saved.…”
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Reliability routing protocol based on vehicle density in VANET by Rong CAI, Guoan ZHANG, Li JIN

“…A reliability routing protocol based on vehicle density in vehicular Ad Hoc network was proposed to reduce the complexity of finding an optimal or sub-optimal node of the forwarding node in forwarding range,reducing the average number of hops and enhancing the reliability of the link.Firstly,the size of the unite block was set by the forwarding node according to the vehicle density in the road.And the forwarding range was cut into several equal blocks.Then the farthest block away from the forwarding node was selected.In the selected block,the neighbor node which had the longest link time was chosen as a relay node to forward according to the principle of reliability finally.Compared with EG-RAODV,the simulated results of the proposed routing protocol show that the average number of hops is less and the average distance of one-hop progress is lager,which means the proposed routing protocol can transmit the data packet to destination node more quickly.…”
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Numerical Simulation,Prediction and Analysis of Pollutants Transport Based on VM-MT3D by WANG Chengwen

“…The research on numerical simulation of groundwater solute transport is practical significance for the protection and utilization of groundwater resources.This paper simulates and predicts the groundwater solute (that is,NH₃-N) leakage concentration in the study area,and analyzes the pollution concentration process of leakage treatment station and its downstream factory area.It is found that the farthest influence distance of NH₃-N pollution plume is 496.2 m,and the range of pollution plume is 36 800 m².In addition,it takes about 7.4 years and 14.8 years for the leakage treatment station and its downstream factory area to reach groundwater class III standard limit,respectively.Finally,after verifying and identifying the groundwater solute transport model,it is found that the difference between the simulating water level by model and the actual water level is 0 m to 1.2 m.Therefore,with small water level error,the accuracy requirements of simulation and prediction are satisfied.…”
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APPLICATION AND RESEARCH OF ACOUSTIC EMISSION TECHNOLOGY IN DYNAMIC MONITORING OF WIND TOWER by ZHANG PengLin, LIU RuiJun, WEI XiaoHong, KONG Peng, DENG HuiQing

“…It is demonstrated that the AE signal decayed obviously at the weld joint compared to parent metal,meanwhile the signal can reached farthest 6 m in wind tower. There was a relationship between the bending damage level of steel Q345 E and AE signal response characteristic. …”
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Variable Transmission Range Routing Protocol Based on Vehicle Density in VANET by Rong Cai, Guoan Zhang, Yuebo Wu

“…In order to solve the problem of unstable connectivity and high bit error rate,which are caused by rapid changes in the density of vehicles on the road,while the transmission radius remained unchanged,a variable transmission range routing protocols based on vehicle density in vehicular Ad-Hoc network was proposed.According to different vehicle density,node could adjust the farthest transmission distance and reduce the transmission latency of the message,which could ensure high connection probability of the network.Based on homogeneous poisson point process model,the change conditions of transmission range with different vehicle density were deduced,and its feasible was proved.Furthermore,mathematical calculate formula of average latency was obtained according to the theoretical analysis.At last,variable transmission range routing protocol based on vehicle density and fixed transmission range routing protocol were compared by simulation.The simulated results show that the proposed protocol can be applied in actual environments,and the message can be transmitted fast from source node to destination node under the condition of high connection probability.…”
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Distribution of Pollutants in Nandu River Estuary in Different Environments by FANG Mingyi, SHI Haoran, HAILAI Yibo, LI Haisheng, MING Rui

“…In view of the frequent tropical storm surge in Nandu River Estuary in recent years,the increasing population in Haikou City each year,severe pollution emissions,and increasing upstream water use year by year,this paper studies the pollutant distribution in Nandu River Estuary under the storm surge and reduction of upstream water inflow on the basis of the hydrodynamic-water quality model.In addition,the changes of pollutants under different environments are analyzed.The results demonstrate that pollutants are mainly distributed on the left bank of the river and are mainly in striped shape due to the topography of the river.When the upstream flow is reduced by 20%,the effect of the tidal current is more significant,and pollutants are greatly affected by convection;the pollution zone becomes narrower,and the diffusion distance is the farthest.When the downstream tidal level is raised by 0.4 m,the interaction between the upstream inflow and tidal current is obvious;the flow rate decreases,and the pollutant retention is serious.In this case,pollutants mainly diffuse to the upstream by diffusion.Therefore,the upstream water resources should be effectively regulated and used,and the water surrounding the sewage outlet should be monitored with more efforts to provide a reference for the water environment management of the estuary section of Haikou City in the future.…”
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Evaluation of education in the contemporary world from a perspective of holistic approach by SAHINOGLU Seyfullah

“…In today's world, where global problems have the same effect even in the farthest corners of the world, establishing and maintaining a quality education system has become a phenomenon that almost all societies dream of. …”
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Broadcasting with Prediction and Selective Forwarding in Vehicular Networks by Jianjun Yang, Zongming Fei

“…In many current approaches, the message initiator or sender selects the node among its neighbors that is farthest away from it in the broadcasting direction and then assigns the node to rebroadcast the message once the node gets out of its range or after a particular time slot. …”
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REKONFIGURASI 26 KANAL IRIGASI MENGGUNAKAN METODE BINARY FIREFLY ALGORITHMS (BFA) by M Yunus, Markhaban Siswanto, Slamet Imam Wahyudi, Soedarsono Soedarsono, Nazariano Rahman Wahyudi, Machrus Ali

“…As a controller comparison, an artificial intelligence method is used for controller tuning based on Binary Firefly Algorithm (BFA). The farthest water discharge results can be reduced in the reconfiguration model using the BFA method. …”
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Gambaran Tingkat Kebisingan Akibat Suara Kendaraan Bermotor di Beberapa Sekolah Berlokasi di Sekitar Jalan Raya kota Padang by Galan Eko Saputro, Meifal Rusli

“…Sound levels are measured at four points, i.e. at the main road in front of school, school gate, the nearest and farthest class room from the main road. The measurements are conducted from 7.00 am in the morning to 04.00 pm in the afternoon. …”
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A Distance-Aware Safety-Related Message Broadcasting Algorithm for Vehicular Networks by Xiaohuan Li, Bin-jie Hu, Hongbin Chen, Jin Ye

“…They are related with the distances between the source station and its forwarding stations. The farthest forwarding station has the highest probability to forward messages. …”
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Robust Indoor Sensor Localization Using Signatures of Received Signal Strength by Yungho Leu, Chi-Chung Lee, Jyun-Yu Chen

“…Second, for an observed value of the signal strength of a sensor, we record, respectively, the distances from the sensor to the nearest location and the farthest location where the signal strength value has been observed. …”
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