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Journal articles on the topic 'Scale free analysis'

Author: Grafiati

Published: 18 May 2024

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1

MATSUNAGA, Tsutomu, Shuhei KUWATA, and Masaaki MURAMATSU. "Empirical analysis of scale-free patterns of connectivity in medical term occurrence." Journal of Japan Society for Fuzzy Theory and Intelligent Informatics 27, no. 2 (2015): 616–20. http://dx.doi.org/10.3156/jsoft.27.616.

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2

Navascués, María A., Cristina Pacurar, and Vasileios Drakopoulos. "Scale-Free Fractal Interpolation." Fractal and Fractional 6, no. 10 (October 16, 2022): 602. http://dx.doi.org/10.3390/fractalfract6100602.

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An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here. In such a manner, fractal interpolation functions associated with Matkowski contractions for finite as well as infinite (countable) sets of data are obtained. Furthermore, we construct an extension of the concept of α-fractal interpolation functions, herein called R-fractal interpolation functions, related to a finite as well as to a countable iterated function system and provide approximation properties of the R-fractal functions. Moreover, we obtain smooth R-fractal interpolation functions and provide results that ensure the existence of differentiable R-fractal interpolation functions both for the finite and the infinite (countable) cases.

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3

Zhang, Jianhua, Bo Song, Zhaojun Zhang, and Mingwei Zhao. "Robustness Analysis of the Scale-free Networks." IERI Procedia 10 (2014): 177–83. http://dx.doi.org/10.1016/j.ieri.2014.09.074.

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4

Lee, Sang-Youl. "Free Vibration Analysis based on HSDT of Laminated Composite Plate Structures Using Multi-scale Approach." Journal of the Korean Society of Civil Engineers 34, no. 1 (2014): 61. http://dx.doi.org/10.12652/ksce.2014.34.1.0061.

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5

Lehnert, R., P. Novák, F. Macieira, M. Kuřec, J. a. Teixeira, and T. Branyik. "Optimisation of lab-scale continuous alcohol-free beer production." Czech Journal of Food Sciences 27, No. 4 (September 9, 2009): 267–75. http://dx.doi.org/10.17221/128/2009-cjfs.

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In order to study the formation and conversion of the most important flavour compounds, the real wort used in alcohol-free beer fermentation was mimicked by a complex model medium containing glucose, yeast extract, and selected aldehydes. The fermentation experiments were carried out in a continuously operating gas-lift reactor with brewing yeast immobilised on spent grains (brewing by-product). During the continuous experiment, parameters such as oxygen supply, residence time (Rt), and temperature (T) were varied to find the optimal conditions for the alcohol-free beer production. The formation of ethanol, higher alcohols (HA), esters (ES), as well as the reduction of aldehydes and consumption of glucose were observed. The results suggest that the process parameters represent a powerful tool in controlling the degree of fermentation and flavour formation brought about by immobilised biocatalyst. Subsequently, the optimised process parameters were used to produce real alcohol-free beer during continuous fermentation. The final product was compared with batch fermented alcohol-free beers using the methods of instrumental and sensorial analysis.

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6

Ansótegui , Carlos, Maria Luisa Bonet, and Jordi Levy. "Scale-Free Random SAT Instances." Algorithms 15, no. 6 (June 20, 2022): 219. http://dx.doi.org/10.3390/a15060219.

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We focus on the random generation of SAT instances that have properties similar to real-world instances. It is known that many industrial instances, even with a great number of variables, can be solved by a clever solver in a reasonable amount of time. This is not possible, in general, with classical randomly generated instances. We provide a different generation model of SAT instances, called scale-free random SAT instances. This is based on the use of a non-uniform probability distribution P(i)∼i−β to select variable i, where β is a parameter of the model. This results in formulas where the number of occurrences k of variables follows a power-law distribution P(k)∼k−δ, where δ=1+1/β. This property has been observed in most real-world SAT instances. For β=0, our model extends classical random SAT instances. We prove the existence of a SAT–UNSAT phase transition phenomenon for scale-free random 2-SAT instances with β<1/2 when the clause/variable ratio is m/n=1−2β(1−β)2. We also prove that scale-free random k-SAT instances are unsatisfiable with a high probability when the number of clauses exceeds ω(n(1−β)k). The proof of this result suggests that, when β>1−1/k, the unsatisfiability of most formulas may be due to small cores of clauses. Finally, we show how this model will allow us to generate random instances similar to industrial instances, of interest for testing purposes.

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7

Wei, Tie, Daniel Livescu, and Xiaofeng Liu. "Scaling patch analysis of planar turbulent wakes." Physics of Fluids 34, no. 6 (June 2022): 065116. http://dx.doi.org/10.1063/5.0097588.

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A scaling patch approach is used to investigate the proper scales in planar turbulent wakes. A proper scale for the mean axial flow is the well-known maximum velocity deficit [Formula: see text], where [Formula: see text] is the free stream velocity and [Formula: see text] is the mean axial velocity at the wake centerline. From an admissible scaling of the mean continuity equation, a proper scale for the mean transverse flow is found as [Formula: see text], where [Formula: see text] is the growth rate of the wake width. From an admissible scaling of the mean momentum equation, a proper scale for the kinematic Reynolds shear stress is found as [Formula: see text], which is a mixed scale of the free stream velocity and the mean transverse flow scale. Expressions are derived for the scaled mean transverse velocity and Reynolds shear stress in the far field of planar turbulent wakes. Using a Gaussian function for the mean axial velocity deficit, approximate functions for the scaled mean transverse velocity and Reynolds shear stress are developed and found to agree well with experimental and simulation data. This work reveals that the mean transverse flow, despite its small magnitude, plays an important role in the scaling and understanding of the planar turbulent wake.

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8

DATTA, DHURJATI PRASAD, and ANUJA ROY CHOUDHURI. "SCALE-FREE ANALYSIS AND THE PRIME NUMBER THEOREM." Fractals 18, no. 02 (June 2010): 171–84. http://dx.doi.org/10.1142/s0218348x10004853.

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We present an elementary proof of the prime number theorem. The relative error follows a golden ratio scaling law and respects the bound obtained from the Riemann's hypothesis. The proof is derived in the framework of a scale-free nonarchimedean extension of the real number system exploiting the concept of relative infinitesimals introduced recently in connection with ultramemtric models of Cantor sets. The extended real number system is realized as a completion of the field of rational numbers Q under a new non-archimedean absolute value, which treats arbitrarily small and large numbers separately from a finite real number.

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9

Zheng, Zhao–Chang, Dan Guo, Yeng–Jie Zhang, and Zhi–Chao Hou. "Dynamic analysis of large–scale flexible systems for free—free space structures." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 359, no. 1788 (November 15, 2001): 2209–29. http://dx.doi.org/10.1098/rsta.2001.0883.

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10

Feng, Liping, Hongbin Wang, Qi Han, Qingshan Zhao, and Lipeng Song. "Modeling Peer-to-Peer Botnet on Scale-Free Network." Abstract and Applied Analysis 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/212478.

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Peer-to-peer (P2P) botnets have emerged as one of the serious threats to Internet security. To prevent effectively P2P botnet, in this paper, a mathematical model which combines the scale-free trait of Internet with the formation of P2P botnet is presented. Explicit mathematical analysis demonstrates that the model has a globally stable endemic equilibrium when infection rate is greater than a critical value. Meanwhile, we find that, in scale-free network, the critical value is very little. Hence, it is unrealistic to completely dispel the P2P botnet. Numerical simulations show that one can take effective countermeasures to reduce the scale of P2P botnet or delay its outbreak. Our findings can provide meaningful instruction to network security management.

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11

Aghazadeh, Reza. "Free Vibration Analysis of Shear Deformable Small-Scale Tubes." Academic Perspective Procedia 3, no. 1 (October 25, 2020): 418–27. http://dx.doi.org/10.33793/acperpro.03.01.86.

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This study presents an approach for investigating free vibration problem of small-scale tubes based on modified couple stress theory in conjunction with higher order shear deformation tube model. The size effect is captured through utilization of a length scale parameter involved in modified couple stress theory. A newly developed refined tube model is employed to satisfy friction-free conditions on inner and outer surfaces of micro-tubes. Hamilton&rsquo;s principle is used as a variational technique for derivation of governing system of equations. For axial vibrations, an analytical procedure is conducted, while for transverse vibrations differential quadrature method is used as a numerical technique. The correctness of numerical results are verified through comparisons made with results which are available in the literature for limiting cases. The analyses reveal the effects of size and transverse shear deformation on the natural frequencies of micro-tubes.

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12

Li, Shudong, Zhongtian Jia, Aiping Li, Lixiang Li, Xinran Liu, and Yixian Yang. "Cascading Dynamics of Heterogenous Scale-Free Networks with Recovery Mechanism." Abstract and Applied Analysis 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/453689.

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In network security, how to use efficient response methods against cascading failures of complex networks is very important. In this paper, concerned with the highest-load attack (HL) and random attack (RA) on one edge, we define five kinds of weighting strategies to assign the external resources for recovering the edges from cascading failures in heterogeneous scale-free (SF) networks. The influence of external resources, the tolerance parameter, and the different weighting strategies on SF networks against cascading failures is investigated carefully. We find that, under HL attack, the fourth kind of weighting method can more effectively improve the integral robustness of SF networks, simultaneously control the spreading velocity, and control the outburst of cascading failures in SF networks than other methods. Moreover, the third method is optimal if we only knew the local structure of SF networks and the uniform assignment is the worst. The simulations of the real-world autonomous system in, Internet have also supported our findings. The results are useful for using efficient response strategy against the emergent accidents and controlling the cascading failures in the real-world networks.

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13

Zhang, Jianbao, Zhongjun Ma, and Jinde Cao. "Hub-Induced Synchronization in Scale-Free Networks with Cluster Structure." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/149453.

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A recent research indicated that the corticocortical connectivity network of the cat possesses cluster structure and that each cluster in the network is scale-free and has a most connected hub. Motivated by that research, we slightly modify the network model and derive sufficient conditions for cluster synchronization of the modified network based on Lyapunov function method. The obtained results indicate that cluster synchronization can be induced by the hubs of the scale-free networks. In our opinion, the concept of hub-induced synchronization provides a better understanding of cluster synchronization in scale-free networks. Numerical examples are provided to demonstrate the effectiveness of the theoretical results.

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14

Lee, Jinho. "Constructing a Social Contact Network based on Cellphone Call Records and Analysis of its Scale-free Property." Journal of Korean Institute of Industrial Engineers 40, no. 1 (February 15, 2014): 1–7. http://dx.doi.org/10.7232/jkiie.2014.40.1.001.

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15

Chen, Fei, Zengqiang Chen, Xiufeng Wang, and Zhuzhi Yuan. "The average path length of scale free networks." Communications in Nonlinear Science and Numerical Simulation 13, no. 7 (September 2008): 1405–10. http://dx.doi.org/10.1016/j.cnsns.2006.12.003.

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16

Jin, Xueting, and Daoqin Tong. "Station-Free Bike Rebalancing Analysis: Scale, Modeling, and Computational Challenges." ISPRS International Journal of Geo-Information 9, no. 11 (November 19, 2020): 691. http://dx.doi.org/10.3390/ijgi9110691.

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In the past few years, station-free bike sharing systems (SFBSSs) have been adopted in many cities worldwide. Different from conventional station-based bike sharing systems (SBBSSs) that rely upon fixed bike stations, SFBSSs allow users the flexibility to locate a bike nearby and park it at any appropriate site after use. With no fixed bike stations, the spatial extent/scale used to evaluate bike shortage/surplus in an SFBSS has been rather arbitrary in existing studies. On the one hand, a balanced status using large areas may contain multiple local bike shortage/surplus sites, leading to a less effective rebalancing design. On the other hand, an imbalance evaluation conducted in small areas may not be meaningful or necessary, while significantly increasing the computational complexity. In this study, we examine the impacts of analysis scale on the SFBSS imbalance evaluation and the associated rebalancing design. In particular, we develop a spatial optimization model to strategically optimize bike rebalancing in an SFBSS. We also propose a region decomposition method to solve large-sized bike rebalancing problems that are constructed based on fine analysis scales. We apply the approach to study the SFBSS in downtown Beijing. The empirical study shows that imbalance evaluation results and optimal rebalancing design can vary substantially with analysis scale. According to the optimal rebalancing results, bike repositioning tends to take place among neighboring areas. Based on the empirical study, we would recommend 800 m and 100/200 m as the suitable scale for designing operator-based and user-based rebalancing plans, respectively. Computational results show that the region decomposition method can be used to solve problems that cannot be handled by existing commercial optimization software. This study provides important insights into effective bike-share rebalancing strategies and urban bike transportation planning.

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17

ZHOU, TAO. "EFFICIENT ROUTING ON SCALE-FREE NETWORKS." International Journal of Modern Physics B 21, no. 23n24 (September 30, 2007): 4071–75. http://dx.doi.org/10.1142/s0217979207045232.

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The nodes with the largest degree are very susceptible to traffic congestion, thus an effective way to improve traffic and control congestion can be redistributing traffic load in hub nodes to others. We proposed an efficient routing strategy, which can remarkably enhance the network throughput. In addition, by using detrended fluctuation analysis, we found that the traffic rate fluctuation near the critical point exhibits the 1/f scaling in the power spectrum, which is in accordance with the empirical data.

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18

Zhang, Xinyu. "Analysis for Scale-Free Network Characteristics of Logistics Distribution Network." Journal of Service Science and Management 07, no. 03 (2014): 189–95. http://dx.doi.org/10.4236/jssm.2014.73015.

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19

Stevens, M. L., and J. C. Kasper. "A scale-free analysis of magnetic holes at 1 AU." Journal of Geophysical Research: Space Physics 112, A5 (May 2007): n/a. http://dx.doi.org/10.1029/2006ja012116.

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20

Cao, Chunjie, Zhiqiang Zhang, Jingzhang Sun, Xianpeng Wang, and Mengxing Huang. "Vulnerability Analysis of Interdependent Scale-Free Networks with Complex Coupling." Journal of Electrical and Computer Engineering 2017 (2017): 1–5. http://dx.doi.org/10.1155/2017/9080252.

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Recent studies have shown that random nodes are vulnerable in interdependent networks with simple coupling. However, relationships in actual networks are interrelated and complex coupling. This paper analyzes the vulnerability of interdependent scale-free networks with complex coupling based on the BA model. The results indicate that these networks have the same vulnerability against the maximum node attack, the load of the maximum node attack, and the random node attack, which explain that the coupling relationship between network nodes is an important factor in network design.

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21

Li, W., and X. Cai. "Empirical analysis of a scale-free railway network in China." Physica A: Statistical Mechanics and its Applications 382, no. 2 (August 2007): 693–703. http://dx.doi.org/10.1016/j.physa.2007.04.031.

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22

Datta, Dhurjati Prasad, and Santanu Raut. "The arrow of time, complexity and the scale free analysis." Chaos, Solitons & Fractals 28, no. 3 (May 2006): 581–89. http://dx.doi.org/10.1016/j.chaos.2005.07.012.

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23

Wang, Changguang, Fangwei Wang, Yangkai Zhang, and Jianfeng Ma. "Malicious code modeling and analysis in weighted scale-free networks." Wuhan University Journal of Natural Sciences 12, no. 1 (January 2007): 51–54. http://dx.doi.org/10.1007/s11859-006-0170-6.

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24

Mao, Guoyong, and Ning Zhang. "Analysis of Average Shortest-Path Length of Scale-Free Network." Journal of Applied Mathematics 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/865643.

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Computing the average shortest-path length of a large scale-free network needs much memory space and computation time. Hence, parallel computing must be applied. In order to solve the load-balancing problem for coarse-grained parallelization, the relationship between the computing time of a single-source shortest-path length of node and the features of node is studied. We present a dynamic programming model using the average outdegree of neighboring nodes of different levels as the variable and the minimum time difference as the target. The coefficients are determined on time measurable networks. A native array and multimap representation of network are presented to reduce the memory consumption of the network such that large networks can still be loaded into the memory of each computing core. The simplified load-balancing model is applied on a network of tens of millions of nodes. Our experiment shows that this model can solve the load-imbalance problem of large scale-free network very well. Also, the characteristic of this model can meet the requirements of networks with ever-increasing complexity and scale.

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25

Friedman, Avner, and Bei Hu. "A non-stationary multi-scale oscillating free boundary for the laplace and heat equations." Journal of Differential Equations 137, no. 1 (June 1997): 119–65. http://dx.doi.org/10.1016/s0022-0396(06)80006-9.

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26

Mahmoodi, Sasan. "Scale-invariant filtering design and analysis for edge detection." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2130 (January 19, 2011): 1719–38. http://dx.doi.org/10.1098/rspa.2010.0475.

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Existing edge detection filters work well on straight edges but make significant errors near sharp corners by producing rounded corners. This is due to the fact that the edge maps produced by these filters are scale variant. We enhance Canny’s optimality criteria to incorporate detection performance near corners as an explicit design objective. The resulting optimal filter, termed ‘Bessel integral filter’, can be derived analytically and exhibits superior performance over recent alternatives, both in terms of numerical accuracy and experimental fidelity. A noise-free localization index is also derived here to account for the detection accuracy of discontinuities forming sharp corners in the absence of noise. We prove here that edges detected by the filters that are not optimal with respect to this noise-free localization index are scale variant. However, the Bessel integral filter proposed here is optimal with respect to the noise-free localization index and therefore it is a scale-invariant filter.

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27

Lina, Jean-Marc, Emma O’Callaghan, and Valérie Mongrain. "Scale-Free Dynamics of the Mouse Wakefulness and Sleep Electroencephalogram Quantified Using Wavelet-Leaders." Clocks & Sleep 1, no. 1 (October 20, 2018): 50–64. http://dx.doi.org/10.3390/clockssleep1010006.

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Scale-free analysis of brain activity reveals a complexity of synchronous neuronal firing which is different from that assessed using classic rhythmic quantifications such as spectral analysis of the electroencephalogram (EEG). In humans, scale-free activity of the EEG depends on the behavioral state and reflects cognitive processes. We aimed to verify if fractal patterns of the mouse EEG also show variations with behavioral states and topography, and to identify molecular determinants of brain scale-free activity using the ‘multifractal formalism’ (Wavelet-Leaders). We found that scale-free activity was more anti-persistent (i.e., more different between time scales) during wakefulness, less anti-persistent (i.e., less different between time scales) during non-rapid eye movement sleep, and generally intermediate during rapid eye movement sleep. The scale-invariance of the frontal/motor cerebral cortex was generally more anti-persistent than that of the posterior cortex, and scale-invariance during wakefulness was strongly modulated by time of day and the absence of the synaptic protein Neuroligin-1. Our results expose that the complexity of the scale-free pattern of organized neuronal firing depends on behavioral state in mice, and that patterns expressed during wakefulness are modulated by one synaptic component.

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28

Ni, Yan, Yinghua Wang, Tao Yu, and Xiaoli Li. "Analysis of Epileptic Seizures with Complex Network." Computational and Mathematical Methods in Medicine 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/283146.

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Epilepsy is a disease of abnormal neural activities involving large area of brain networks. Until now the nature of functional brain network associated with epilepsy is still unclear. Recent researches indicate that the small world or scale-free attributes and the occurrence of highly clustered connection patterns could represent a general organizational principle in the human brain functional network. In this paper, we seek to find whether the small world or scale-free property of brain network is correlated with epilepsy seizure formation. A mass neural model was adopted to generate multiple channel EEG recordings based on regular, small world, random, and scale-free network models. Whether the connection patterns of cortical networks are directly associated with the epileptic seizures was investigated. The results showed that small world and scale-free cortical networks are highly correlated with the occurrence of epileptic seizures. In particular, the property of small world network is more significant during the epileptic seizures.

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29

Liu, Maoxing. "The analysis of HIV/AIDS drug-resistant on networks." International Journal of Modern Physics C 25, no. 05 (March 11, 2014): 1440008. http://dx.doi.org/10.1142/s0129183114400087.

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In this paper, we present an Human Immunodeficiency Virus (HIV)/Acquired Immune Deficiency Syndrome (AIDS) drug-resistant model using an ordinary differential equation (ODE) model on scale-free networks. We derive the threshold for the epidemic to be zero in infinite scale-free network. We also prove the stability of disease-free equilibrium (DFE) and persistence of HIV/AIDS infection. The effects of two immunization schemes, including proportional scheme and targeted vaccination, are studied and compared. We find that targeted strategy compare favorably to a proportional condom using has prominent effect to control HIV/AIDS spread on scale-free networks.

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30

Yao, Bing, Chao Yang, Ming Yao, Hong Yu Wang, Xiang En Chen, Xiao Min Zhang, and Mo Gang Li. "Graphs as Models of Scale-Free Networks." Applied Mechanics and Materials 380-384 (August 2013): 2034–37. http://dx.doi.org/10.4028/www.scientific.net/amm.380-384.2034.

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In bioinformatics research field, researchers from biology, and physics, mathematics, computer science and other disciplines explore the mystery of genetic language by the combination of experimental researches and theoretical analysis, and try reveals the essence of biological genetic information. Bollobás and Riordan pointed out that the definition of scale-free in the context of network graph models has never been made precise. We use spanning trees and other graphs to illustrate some results and phenomenon and try expressing mathematically key notions from researching scale-free networks, and explore constructions and operations of complex networks.

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31

Chui, Kwok Tai, and Chien-wen Shen. "Tolerance analysis in scale-free social networks with varying degree exponents." Library Hi Tech 37, no. 1 (March 18, 2019): 57–71. http://dx.doi.org/10.1108/lht-07-2017-0146.

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Purpose There are many complex networks like World-Wide Web, internet and social networks have been reported to be scale-free. The major property of scale-free networks is their degree distributions are in power law form. Generally, the degree exponents of scale-free networks fall into the range of (2, 3). The purpose of this paper is to investigate other situations where the degree exponents may lie outside the range. Design/methodology/approach In this paper, analysis has been carried out by varying the degree exponents in the range of (0.5, 4.5). In total, 243 scenarios have been generated with varying network size of 1,000, 2,000 and 4,000, and degree exponents in the range of (0.5, 4.5) using interval of 0.05. Findings The following five indicators have been investigated: average density, average clustering coefficient, average path length, average diameter and average node degree. These indicators vary with the network size and degree exponent. If certain indicators do not satisfy with the user requirement using degree exponents of (2, 3), one can further increase or decrease the value with tradeoff. Results recommend that for degree exponents in (0.5, 2), 26 possible scale-free networks can be selected whereas for (3, 4.5), 41 possible scale-free networks can be selected, assuming a 100 percent deviation on the network parameters. Originality/value A tolerance analysis is given for the tradeoff and guideline is drawn to help better design of scale-free network for degree exponents in range of (0.5, 2) and (3, 4.5) using network size 1,000, 2,000 and 4,000. The methodology is applicable to any network size.

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Sakumoto, Yusuke, and Hiroyuki Ohsaki. "Fluid-Based Analysis for Understanding TCP Performance on Scale-Free Structure." Journal of Information Processing 24, no. 4 (2016): 660–68. http://dx.doi.org/10.2197/ipsjjip.24.660.

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33

Liu, Maoxing, and Yunli Zhang. "The Analysis for the Two-stage Model on Scale-free Networks." International Journal of Engineering and Manufacturing 1, no. 6 (December 5, 2011): 57–63. http://dx.doi.org/10.5815/ijem.2011.06.09.

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34

Dominik, Kurt G., and Sergei F. Shandarin. "Percolation analysis of nonlinear structures in scale-free two- dimensional simulations." Astrophysical Journal 393 (July 1992): 450. http://dx.doi.org/10.1086/171518.

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35

Hongyan, Dui, Zhang Chi, and Xu Xin. "Failure analysis of network nodes and edges in scale-free networks." Communications in Statistics - Theory and Methods 49, no. 15 (December 18, 2019): 3635–49. http://dx.doi.org/10.1080/03610926.2019.1703136.

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36

Wiskott, Laurenz. "Slow Feature Analysis: A Theoretical Analysis of Optimal Free Responses." Neural Computation 15, no. 9 (September 1, 2003): 2147–77. http://dx.doi.org/10.1162/089976603322297331.

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Temporal slowness is a learning principle that allows learning of invariant representations by extracting slowly varying features from quickly varying input signals. Slow feature analysis (SFA) is an efficient algorithm based on this principle and has been applied to the learning of translation, scale, and other invariances in a simple model of the visual system. Here, a theoretical analysis of the optimization problem solved by SFA is presented, which provides a deeper understanding of the simulation results obtained in previous studies.

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37

Uzuntarla, Muhammet, Ergin Yilmaz, Alexandre Wagemakers, and Mahmut Ozer. "Vibrational resonance in a heterogeneous scale free network of neurons." Communications in Nonlinear Science and Numerical Simulation 22, no. 1-3 (May 2015): 367–74. http://dx.doi.org/10.1016/j.cnsns.2014.08.040.

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38

Geers, M. G. D., R. L. J. M. Ubachs, M. Erinc, and M. A. Matin. "Multi-Scale Numerical-Experimental Analysis of Failure in Solder Alloys." Materials Science Forum 539-543 (March 2007): 66–73. http://dx.doi.org/10.4028/www.scientific.net/msf.539-543.66.

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The past years have triggered considerable scientific efforts towards the predictive analysis of the reliability of solder connections in micro-electronics. Undoubtedly, the replacement of the classical Sn-Pb solder alloy by a lead-free alternative constitutes the main motivation for this. This paper concentrates on the theoretical, computational and experimental multi-scale analysis of the microstructure evolution and degradation of the conventional solder material Sn-Pb and its most promising lead-free alternative, a Sn-Ag-Cu (SAC) alloy. Special attention is given to the thermal anisotropy of bulk SAC and the interfacial fatigue failure of SAC interconnects.

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Jiang, Yongxin, Li Huang, Zhiyou Zhang, Bu Nie, and Fan Zhang. "Analysis of Scale Sensitivity of Ship Detection in an Anchor-Free Deep Learning Framework." Electronics 12, no. 1 (December 22, 2022): 38. http://dx.doi.org/10.3390/electronics12010038.

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Ship detection is an important task in sea surveillance. In the past decade, deep learning-based methods have been proposed for ship detection from images and videos. Convolutional features are observed to be very effective in representing ship objects. However, the scales of convolution often lead to different capacities of feature representation. It is unclear how the scale influences the performance of deep learning methods in ship detection. To this end, this paper studies the scale sensitivity of ship detection in an anchor-free deep learning framework. Specifically, we employ the classical CenterNet as the base and analyze the influence of the size, the depth, and the fusion strategy of convolution features on multi-scale ship target detection. Experiments show that, for small targets, the features obtained from the top-down path fusion can improve the detection performance more significantly than that from the bottom-up path fusion; on the contrary, the bottom-up path fusion achieves better detection performance on larger targets.

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Wang, Kaijun, Yunchao Gong, and Feng Hu. "SIS Epidemic Propagation on Scale-Free Hypernetwork." Applied Sciences 12, no. 21 (October 28, 2022): 10934. http://dx.doi.org/10.3390/app122110934.

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The hypergraph offers a platform to study structural properties emerging from more complicated and higher-order than pairwise interactions among constituents and dynamical behavior, such as the spread of information or disease. Considering the higher-order interaction between multiple nodes in the system, the mathematical model of infectious diseases spreading on simple scale-free networks is extended to hypernetworks based on hypergraphs. A SIS propagation model based on reaction process strategy in a universal scale-free hypernetwork is constructed, and the theoretical and simulation analysis of the model is carried out. Using mean field theory, the analytical expressions between infection density and hypernetwork structure parameters as well as propagation parameters in steady state are given. Through individual-based simulation, the theoretical results are verified and the infectious disease spread process under the structure of the hypernetwork and simple scale-free network is compared and analyzed. It becomes apparent that infectious diseases are easier to spread on the hypernetworks, showing the clear clustering characteristics of epidemic spread. Furthermore, the influence of the hypernetwork structure and model parameters on the propagation process is studied. The results of this paper are helpful in further studying the propagation dynamics on the hypernetworks. At the same time, it provides a certain theoretical basis for the current COVID-19 prevention and control in China and the prevention of infectious diseases in the future.

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KOBAYASHI, Yosuke, and Genki YAGAWA. "21210 Ultra Large Scale Parallel Structural Analysis by Enriched Free Mesh Method." Proceedings of Conference of Kanto Branch 2008.14 (2008): 313–14. http://dx.doi.org/10.1299/jsmekanto.2008.14.313.

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Tempesta, Piergiulio. "Bipartite and directed scale-free complex networks arising from zeta functions." Communications in Nonlinear Science and Numerical Simulation 19, no. 7 (July 2014): 2493–504. http://dx.doi.org/10.1016/j.cnsns.2013.08.037.

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Kayid, Mohamed, and Mansour Shrahili. "Characterization Results on Lifetime Distributions by Scaled Reliability Measures Using Completeness Property in Functional Analysis." Mathematics 11, no. 6 (March 22, 2023): 1547. http://dx.doi.org/10.3390/math11061547.

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In this article, using the scaled (weighted) residual life variable, some scaled measures, the scaled mean residual life and the scaled hazard rate, are introduced. Several scales are considered as examples of the derivation of the scaled measures. The measures are developed for the case of a weighted residual life at a random time, and it is shown that the measures are scale-free in these cases. This property proves useful in situations where a relative comparison of the lifetime distribution is studied. Some characterization properties are derived in terms of scaled measures evaluated at some sequences of random time points that follow a typical distribution. Examples are used to illustrate, examine, and satisfy the obtained characterizations.

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Yin Rong-Rong, Liu Bin, Liu Hao-Ran, and Li Ya-Qian. "Dynamic fault-tolerance analysis of scale-free topology in wireless sensor networks." Acta Physica Sinica 63, no. 11 (2014): 110205. http://dx.doi.org/10.7498/aps.63.110205.

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Zhang Yong and Li Shi-Gao. "Analysis of scale-free characteristic on sharp variation point of traffic flow." Acta Physica Sinica 63, no. 24 (2014): 240509. http://dx.doi.org/10.7498/aps.63.240509.

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Wang, Ye, Xiuwen Fu, Yongsheng Yang, and Octavian Postolache. "Analysis on cascading robustness of energy-balanced scale-free wireless sensor networks." AEU - International Journal of Electronics and Communications 140 (October 2021): 153933. http://dx.doi.org/10.1016/j.aeue.2021.153933.

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NAGAOKA, Shinsuke, Yasushi NAKABAYASHI, Yoshiaki TAMURA, and Genki YAGAWA. "Large Scale Parallel Analysis Using Enriched Free Mesh Method and Its Applications." Proceedings of Mechanical Engineering Congress, Japan 2016 (2016): G0100205. http://dx.doi.org/10.1299/jsmemecj.2016.g0100205.

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Xia, Bo, Dali Han, Xingyu Lu, Zhaozhu Sun, Ankun Zhou, Qiangzong Yin, Hu Zeng, et al. "Bisulfite-free, base-resolution analysis of 5-formylcytosine at the genome scale." Nature Methods 12, no. 11 (September 7, 2015): 1047–50. http://dx.doi.org/10.1038/nmeth.3569.

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Liu, Maoxing, and Yunli Zhang. "THE ANALYSIS OF SEXUALLY TRANSMITTED DISEASES WITH DEMOGRAPHICS ON SCALE-FREE NETWORK." Journal of applied mathematics & informatics 31, no. 3_4 (May 30, 2013): 443–56. http://dx.doi.org/10.14317/jami.2013.443.

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Koyano, Hitoshi, Dimitar Serbezov, Hirohisa Kishino, and Tore Schweder. "Fractional parentage analysis and a scale-free reproductive network of brown trout." Journal of Theoretical Biology 336 (November 2013): 18–35. http://dx.doi.org/10.1016/j.jtbi.2013.06.038.

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