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The Swift-Hohenberg equation is one of the universal equations used in the description of pattern formation in spatially extended dissipative systems (see [2]), which arise in the study of convective hydrodynamics [3], plasma confinement in toroidal devices [4], viscous film flow and bifurcating solutions of the Navier-Stokes [5].
Here, we have introduced a way to include orientation and order into the information theoretic description of pattern recognition at the promoter.
The description of pattern is the description of variation, and the quantification of variation requires the determination of scales".
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As the author of the iris-recognition algorithms (and the only person who knows how they work), I can affirm that an iris code is a mathematical description of pattern-phase information that is not affected by pigmentation changes.
There is a growing body of research in the area of design pattern detection and design recovery, requiring a formal description of patterns which can be matched by tools against the software that is to be analysed.
The goal of exploratory modeling is to better understand the system of interest through delineation of plausible boundaries, description of patterns within multidimensional model space, and to the extent possible, quantification of the likelihood of occurrence of different model outcomes.
This empirical result is also shown in [11] in their description of patterns in child malnutrition stratified by sex.
This description of patterns allows flexible varying of the amount of statistical and structural information; it can also be used with training process to optimize the retrieval performance.
Rather, our aim was to provide a coarse description of patterns of variation in the frequency of megafaunal fruits among higher taxa.
Mathematical models showing instable features lead to a description of pattern-formation by reaction-diffusion equations.
A more detailed description of patterns of female cancers and pregnancy outcomes are presented in later chapters.
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