Edge‐corrected estimators of the nearest‐neighbour distance distribution function for three‐dimensional point patterns

1997 ◽  
Vol 186 (2) ◽  
pp. 177-184 ◽  
Author(s):  
M. G. REED ◽  
C. V. HOWARD
Keyword(s):  
Distribution Function ◽  
Three Dimensional ◽  
Distance Distribution ◽  
Nearest Neighbour ◽  
Distance Distribution Function ◽  
Neighbour Distance ◽  
Point Patterns ◽  
Nearest Neighbour Distance Distribution

Analytical solution of the PELDOR inverse problem using the integral Mellin transform

2017 ◽  
Vol 19 (48) ◽  
pp. 32381-32388 ◽  
Author(s):  
Anna G. Matveeva ◽  
Vyacheslav M. Nekrasov ◽  
Alexander G. Maryasov
Keyword(s):  
Inverse Problem ◽  
Distribution Function ◽  
Analytical Solution ◽  
Short Distance ◽  
Mellin Transform ◽  
Distance Distribution ◽  
Distance Distribution Function ◽  
Distance Range ◽  
Model Free ◽  
Model Free Approach

The model-free approach used does not introduce systematic distortions in the computed distance distribution function between two spins and appears to result in noise grouping in the short distance range.

scholarly journals Dominating lengthscales of zebrafish collective behaviour

2022 ◽  
Vol 18 (1) ◽  
pp. e1009394
Author(s):  
Yushi Yang ◽  
Francesco Turci ◽  
Erika Kague ◽  
Chrissy L. Hammond ◽  
John Russo ◽  
...  
Keyword(s):  
Collective Motion ◽  
Persistence Length ◽  
Three Dimensional ◽  
Temporal Correlation ◽  
Model System ◽  
Collective Behaviour ◽  
Living Systems ◽  
Nearest Neighbour ◽  
Length Scales ◽  
Neighbour Distance

Collective behaviour in living systems is observed across many scales, from bacteria to insects, to fish shoals. Zebrafish have emerged as a model system amenable to laboratory study. Here we report a three-dimensional study of the collective dynamics of fifty zebrafish. We observed the emergence of collective behaviour changing between ordered to randomised, upon adaptation to new environmental conditions. We quantify the spatial and temporal correlation functions of the fish and identify two length scales, the persistence length and the nearest neighbour distance, that capture the essence of the behavioural changes. The ratio of the two length scales correlates robustly with the polarisation of collective motion that we explain with a reductionist model of self–propelled particles with alignment interactions.

On some classes of distance distribution function-valued submeasures

2011 ◽  
Vol 74 (5) ◽  
pp. 1545-1554 ◽  
Author(s):  
Lenka Halčinová ◽  
Ondrej Hutník ◽  
Radko Mesiar
Keyword(s):  
Distribution Function ◽  
Distance Distribution ◽  
Distance Distribution Function

Fault Location for Distribution Networks Based on Node Voltage Equation

2013 ◽  
Vol 816-817 ◽  
pp. 545-549
Author(s):  
Chao Guo Tang ◽  
Feng Xiang Dong ◽  
Zheng Yuan ◽  
Dan Tan ◽  
Wen Hai Zhang
Keyword(s):  
Distribution Function ◽  
Fault Location ◽  
Distribution Networks ◽  
Distance Distribution ◽  
Neutral System ◽  
Distance Distribution Function ◽  
Load Variations ◽  
Data Matching ◽  
Node Voltage ◽  
Isolated Neutral

Proposed a single end fault location algorithm based on fault distance distribution function to implement fault location for isolated neutral system. Based on bus impedance matrix, establish fault distance distribution function adapted to all kind of asymmetric shorted fault in insulated neutral system. Combine the voltage sag data measured at substation to determine the most possible fault point through data matching and analysis. The method can implement fault location for all kind of asymmetric shorted fault and doesnt need much iterative procedure. Also, it is applicable to complicated systems with multi-branch and is quite robust to load variations. Simulation results for a 10Kv typical distribution network verify the validity of the method.

scholarly journals A TIME-OPTIMAL ALGORITHM FOR THE ESTIMATION OF CONTACT DISTRIBUTION FUNCTIONS OF RANDOM SETS

2011 ◽  
Vol 23 (3) ◽  
pp. 177 ◽  
Author(s):  
Johannes Mayer
Keyword(s):  
Distribution Function ◽  
Optimal Algorithm ◽  
Linear Time ◽  
Distribution Functions ◽  
Distance Distribution ◽  
Random Sets ◽  
Distance Distribution Function ◽  
Structuring Element ◽  
Time Optimal ◽  
Contact Distribution

This paper presents a linear-time and therefore time-optimal algorithm for the estimation of distance distribution functions and contact distribution functions of random sets. The distance distribution function is the area fraction of a dilated set, where this function depends on the size of the structuring element used for the dilation. Furthermore, contact distribution functions are related to distance distribution functions. Minussampling estimators are used for the estimation.

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