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Finally, a set of numerical examples is used to validate the proposed methodology.
A definition of "qualitative analysis" that allows a general treatment of a wide variety of different examples is used.
A three-dimensional statistical model of fault damage zone architecture, incorporating fault size, orientation and spatial characteristics observed in natural examples, is used with a two-dimensional discrete fault flow model to investigate fluid flow and up-scaling of permeability in fault damage zones with a permeability contrast between rock matrix and fault rock of four orders of magnitude.
A selection of illustrative examples is used in reviewing wind tunnel and water tank modelling of atmospheric dispersion, the aim being to discuss cases where the laboratory work has been a key factor in developing scientific understanding and instigating further research.
In order to increase the accuracy of the classification, a bootstrapping procedure (learning on "hard" examples) is used at each stage.
A range of examples is used to illustrate topological invariants in MHD and fluid dynamics, including the Hopf invariant, the Calugareanu invariant, the Taylor magnetic helicity reconnection hypothesis for magnetic fields in highly conducting plasmas, and the magnetic helicity of Alfvén simple waves, MHD topological solitons, and the Parker Archimedean spiral magnetic field.
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Microarray examples are used to illustrate the method.
Three practical examples are used to demonstrate this result.
Numerical examples are used to illustrate the main results.
Several classical examples are used to demonstrate that claim.
Several plate examples are used to illustrate the method.
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CEO of Professional Science Editing for Scientists @ prosciediting.com