Sentence examples for analysis of these patterns from inspiring English sources
Random fluctuations induce a statistical self-similarity in natural patterns; analysis of these patterns by Mandelbrot's techniques has been found useful in such diverse fields as fluid mechanics, geomorphology, human physiology, economics, and linguistics.
A retrospective analysis of these patterns in a forest-wetland landscape revealed a net increase in bilberry cover and berry production during the past 70 years.
While further analysis could provide more rigorous analysis of these patterns, it would appear that measures that define resilience as bouncing back to a threshold common to all households, and meeting some definition of a 'good' equilibrium, are better able to capture the meaning of the concept discussed in the literature than are measures that define bouncing back to where one started.
However, the detailed analysis of these patterns (Table 1) does not indicate a unique mechanism.
The analysis of these patterns can be handled in many different ways, and as illustrated with the computer-generated chains of this study, the results can reveal varied aspects of the same chain depending on the chosen method.
Network modelling may allow the incorporation of the temporal dimension in the analysis of these patterns.
Analysis of these XRD patterns gives the evidence of the formation of tetragonal ZrO2 phase.
Results of this study indicate that it is possible to reveal the load hysteresis through analysis of these fringe patterns.
The reported procedure could also deal with the analysis of these particular patterns.
Many related biological problems such as the detection of co-expressed genes, co-regulated genes and transcription factor binding motifs rely heavily on the analysis of these image patterns.
While in vivo analysis of these fragmentation patterns is just the beginning, there is mounting evidence in vitro that the biological impact of HA size heterogeneity is related to the ability of different HA receptors to bind high molecular weight polymeric versus HA fragments.
