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Pattern formation: an introduction to methods Rebecca Hoyle
Publisher: Cambridge University Press

For the optical proximity correction (OPC) of thermal effects, an orthogonal functional method is introduced. Nature too has evolved self-organizing systems clearly reflecting the need for pattern formation and execution focused structures observed in nest building by social insects and birds flocking. The major differences between the method described here and other concept mapping processes are: this method is particularly appropriate for group use -- the method generates a group aggregate map; it utilizes multivariate data analyses to construct the maps; and it generates interval-level maps which have some advantages for planning and evaluation, especially through pattern matching as described later. The kinetics, parameters, and solution methods are the same as in Fig. Top; Abstract; Introduction; Results and discussion; Discussion; Conclusions; Methods; Appendix 1; Appendix 2; Appendix 3; Competing interests; Authors' contributions; Acknowledgements; References Introduction. In his book 'The Opium of the Intellectuals' 1955, Raymond Aron highlights how even ideas and interests tend to be 'organizing themselves'. Descartes in his 'Discourse on Method' introduced the idea that the ordinary laws of nature are adept and tend to organize themselves. However, thermal effects are severe, thus, more critical approaches are needed for small pattern formation. When σ = 1/100 and so the time taken for patterns to appear is increased. (d) Stochastic pattern formation from zero state initial condition.