diffusion intensity
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Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2531
Author(s):  
Yanjie Xu ◽  
Tao Ren ◽  
Shixiang Sun

Identifying influential edges in a complex network is a fundamental topic with a variety of applications. Considering the topological structure of networks, we propose an edge ranking algorithm DID (Dissimilarity Influence Distribution), which is based on node influence distribution and dissimilarity strategy. The effectiveness of the proposed method is evaluated by the network robustness R and the dynamic size of the giant component and compared with well-known existing metrics such as Edge Betweenness index, Degree Product index, Diffusion Intensity and Topological Overlap index in nine real networks and twelve BA networks. Experimental results show the superiority of DID in identifying influential edges. In addition, it is verified through experimental results that the effectiveness of Degree Product and Diffusion Intensity algorithm combined with node dissimilarity strategy has been effectively improved.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Jingda Ding ◽  
Chao Liu ◽  
Yiqing Yuan

PurposeThis paper aims to explore the characteristics of knowledge diffusion of library and information science to reveal its development trend and influence on other disciplines.Design/methodology/approachBased on the ESI discipline classification, this paper measures the knowledge diffusion from the library and information science to other disciplines over the last 24 years using indicators in four dimensions: breadth, intensity, speed and theme of knowledge diffusion.FindingsThe results show that the knowledge diffusion breadth of library and information science is wide, spreading to 21 ESI disciplines; the knowledge spread mainly concentrates in four soft or applied disciplines, and yet partially inter-disciplinary, and the knowledge diffusion intensity to each ESI discipline is parabolic whose highest point is mostly in 2004–2005; the speed of spreading to the 21 ESI disciplines is faster and faster, and the articles at the highest speed of knowledge diffusion are basically published after 2005; the knowledge diffusion themes are becoming increasingly diverse, deepening and specialization over time.Originality/valueThis paper modifies the relevant indicators of knowledge diffusion and constructs a measurement framework of knowledge diffusion from four aspects: breadth, intensity, speed and theme. The research method can also be used to explore the characteristics of knowledge absorption of a discipline from other ones.


Author(s):  
Alen Thomas ◽  
Jerzy Szpunar

Abstract In this investigation, we prepared samples with five different grain misorientations by cold rolling an X70 pipeline steel plate. The hydrogen permeation and hydrogen visualization experiments were used to compute the diffusion parameters and to reveal the diffusion path in steel samples. The dual-polarized permeation experiment allowed us to show that permeability and effective diffusion coefficient were decreased with an increase in misorientation. Hence, the total and irreversible trapping sites were also raised with the extent of deformation in the steel. On the other hand, the visualization study permitted us to show that hydrogen diffusion intensity changes within the microstructure. The diffusion intensity increases in the order of non-deformed grains, grain boundaries and deformed grains with deformed grains as the easiest path for hydrogen diffusion.


2020 ◽  
pp. 90-107
Author(s):  
D.B. Prokopieva ◽  
◽  
T.A Zhuk ◽  
N.I. Golovko ◽  
◽  
...  

In this paper we obtain the differential equation of the type Kolmogorov-Chapman with differential operator of the Fokker-Planck, having theoretical and practical value in the differential equations theory. Equations concerning non-stationary and stationary characteristics of the number of applications obtained for a class of Queuing systems (QS) with an infinite storage device, one service device with exponential service, the input of which is supplied twice stochastic a Poisson flow whose intensity is a random diffusion process with springy boundaries and a non-zero drift coefficient. Service systems with diffusion intensity of the input flow are used for modeling of global computer networks nodes.


2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Guangsheng ZHANG ◽  
Xiao WANG ◽  
Zhijun GAO ◽  
Tianyu XIANG

Although there are some studies on the risk management of logistics service supply chain (LSSC), we still know little about the effects of risk evolution and interactional mechanism of subjects in different urgent scenarios of logistics service supply chain from a micro perspective. Based on the structures of the LSSC, this study thus analyzed the risk evolution and the main actors’ reactions in the LSSC, including categorizing the urgent scenarios, analyzing their impacts on the diffusion intensity of pricing, profit and demand, and verifying the models’ validity with the numerical analysis. The results indicate divergent impacts of the different urgent scenarios on the logistics service supply chain: the price fluctuation can cause similar profit declines of the supplier and integrator, the reduced capacity can cause the supply chain’s price increase by 50%, and the demand risks can lead to similar changes of the upstream orders, prices and profits. The findings may provide clues for firms to develop effective countermeasures against the risks.


Author(s):  
V. M. Golod ◽  
L. Yu. Dobosh

Stages of system analysis and mathematical models for predicting the dendritic structure of multicomponent aluminum alloys are considered. Computer diagnostics of nonequilibrium crystallization is realized by the joint use of the apparatus of computational thermodynamics and means of computational heat transfer for solving problems of computational materials science. The results of modeling the evolution of the dendritic structure are presented with a change in the diffusion intensity in the solid phase from equilibrium conditions to complete suppression.


Stroke ◽  
2017 ◽  
Vol 48 (suppl_1) ◽  
Author(s):  
Anke Wouters ◽  
Patrick Dupont ◽  
Sören Christensen ◽  
Maarten G Lansberg ◽  
Greg W Albers ◽  
...  

Introduction: The DWI/FLAIR mismatch has been proposed as an imaging pattern to predict stroke onset before 4.5h in patients with unknown time of symptom duration. Limitations of the DWI/FLAIR mismatch include the additional imaging time required to obtain FLAIR, difficulty of assessment in patients with severe white matter disease, poor interrater agreement, and motion sensitivity of longer MRI sequences. We hypothesised that automated analysis of DWI imaging would be at least as accurate to predict stroke onset before 4.5h. Methods: Data from the Axis 2 trial were used and patients were included in whom a DWI lesion was detected by automated software (RAPID). The visual DWI/FLAIR mismatch was rated in accordance with the criteria of the ongoing WAKE-UP trial. For every patient the relative DWI (rDWI) was calculated in a voxel based manner as the ratio of the diffusion intensity in that voxel and the median diffusion intensity of a sphere with radius 15 mm around the homologue voxel in the contralateral hemisphere. The mean and standard deviation (SD) of the rDWI was obtained in the DWI lesion. Receiver operating curves (ROC) and corresponding area under the curves (AUC) for predicting the 4.5h time-window were determined. Results: We included 200 patients. In 8 patients (4%) the visual DWI/FLAIR rating was hampered due to either extensive white matter disease or poor quality of FLAIR imaging. The DWI/FLAIR mismatch had an AUC of 0.66 to predict stroke onset before 4.5h vs an AUC of 0.71 for rDWI SD (p for difference=0.4). The optimal rDWI SD threshold for predicting stroke ≤ 4.5h was 0.23. Using this threshold, stroke onset was accurately predicted in 73% of patients vs 65% accuracy with the visual DWI/FLAIR mismatch (p for difference=0.1). (table 1) Conclusion: Our results suggest that rDWI may have advantages over the visual DWI/FLAIR mismatch for predicting the time of stroke onset. rDWI provides an accurate and objective assessment with the potential for fully automated processing.


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