Behavior analysisConceptually systematic dimensionHistorical analysisTranslationalSeven dimensionsWhat does it mean to be conceptually systematic in contemporary applied behavior analysis (ABA) research and practice? To answer this question, the present study conducted a historical analysis of ABA scholars' ...
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If the surface is represented via a mathematical function, then continuity is always verified, whereas derivability of such a mathematical fractal is never reached at any point and scale. In turn, the fractal dimension is a continuous parameter that quantifies the intermediate behavior held by ...
As an example we can mention the cube counting [12], partitioning [13, 14], lake filling [15], power spectrum analysis [13], and height-height correlation function analysis [9]. The results of these methods when applied to the same AFM data can be unfortunately very different and also ...
{-s}. Since then, the BH inequality has become an important tool in harmonic analysis and functional analysis, for example to study Sidon constants and the asymptotic behavior of Bohr radii [5,21]. We remark that in these applications it is important to have good control of the BH ...
Complex networks are powerful mathematical tools for modelling and understanding the behaviour of highly interconnected systems. However, existing methods for analyzing these networks focus on local properties (e.g. degree distribution, clustering coeffi
A further application of dimensional analysis is in model design. Often the behavior of large complex systems can be deduced from studies of small-scale models at a great saving in cost. In the model each parameter is reduced in the same proportion relative to its value in the original system...
Fractional Dimension RTA is used to study the behavior of multiphase unconventional wells and propose a workflow for its analysis. Changes that occur when downhole pressure goes below bubble pressure are reviewed, as well as the factors that determine the subsequent GOR trend. We explore how these...
Herein, we propose a versatile method, named DcjComm, for comprehensive analysis of single-cell transcriptomics. DcjComm detects functional modules to explore expression patterns and performs dimension reduction and clustering to discover cellular identities by the non-negative matrix factorization-based ...
Aspects, however, tend to be qualitative, focusing on the characteristics, features, or distinct parts that might not be measurable but are essential for a comprehensive understanding or analysis of a subject. 13 The concept of dimension is integral to understanding the physical properties and ...