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Multifractals analyze the scaling properties of quantities distributed in a space that we assume to be two dimensional (a plane), but MFA can be used with one dimensional (time series) or three dimensional data.
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It is characterised by the use of interaction graphs (graphs with interaction functions on their edges) to represent the system as composed of processes, each involving several entities distributed in space that are in interaction with each other.
However, the uniformity of leaching through a uniformly recharged ditch drainage system is relatively better than that of a ponded ditch drainage system as the streamlines in the former case are much more uniformly distributed in a concerned drainage space than that of streamline distributions arising out of a ponded drainage system.
In calculating the numbers of decoy structures above, we have made the implicit assumption that these structures are uniformly distributed in conformational space, and that their density, i.e. the number of unique structures per unit conformational volume, is approximately independent of the sequence or sequence length.
"Digital art seems to call for a distributed, networked information space that is open to interferences," she says.
To eliminate these systematic alignments and variations of size, we also employed a 3D constrained condition, in which the spheres were distributed in 3D space such that their centers were constrained to lie on the depicted object surface at randomly selected positions.
To eliminate these systematic alignments and variations of size, we also employed a 3D constrained condition, in which the spheres were distributed in 3D space such that their centers were constrained to lie on the depicted surface at randomly selected positions.
As an illustrative example, consider a network with only three cell types, labeled A, B, and C. Assume these cells are uniformly distributed in space, and that the probability of connection between any two cells, c i and c j, depends only on their type and their distance, according to a logistic (sigmoidal) function.
LDA can analyze clusters distributed in a global data space based on the assumption that the samples of each class approximately create a Gaussian distribution.
The particle population may be regarded as being randomly distributed in the particle state space that includes both physical space and the space of internal coordinates.
Several recent studies, using a set of shape stimuli distributed in a limited range of parameter space, have shown that inferotemporal cells tend to show monotonic tuning of responses along axes in the parameter space (Kayaert et al., 2005; Leopold et al., 2006; De Baene et al., 2007; Freiwald et al., 2009).
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