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Fuel cell modeling and simulations
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Color micro- and nanopatterning with counter-propagating reaction-diffusion fronts
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Multicolour micropatterning of thin films of dry gels
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Hodge cohomology of gravitational instantons
T. Hausel, E. Hunsicker, R. Mazzeo, Duke Mathematical Journal 122 (2004) 485–548.

Generators for the cohomology ring of the moduli space of rank 2 higgs bundles
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Soluble guanylate cyclases act in neurons exposed to the body fluid to promote C. elegans aggregation behavior
B.H.. Cheung, F. Arellano-Carbajal, I. Rybicki, M. de Bono, Current Biology 14 (2004) 1105–1111.

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Role of Arabidopsis ARGONAUT in RNA-directed DNA methylation triggered by inverted repeats
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Silencing of transposons in plant genomes: kick them when they're down
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Algorithmic challenges in web search engines
M.H. Henzinger, Internet Mathematics 1 (2004) 115–123.

The past, present, and future of web search engines
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Algorithmic aspects of web search engines
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The past, present, and future of web information retrieval
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Extracting knowledge from the World Wide Web
M.H. Henzinger, S. Lawrence, Proceedings of the National Academy of Sciences 101 (2004) 5186–5191.

Equal sums of three powers
T.D. Browning, R. Heath Brown, Inventiones Mathematicae 157 (2004) 553–573.