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Modeling bacterial attenuation in onsite waste-water treatment systems using the active region model and column-scale data
Environmental Earth Sciences 74(6), pp. 4827-4837, doi: 10.1007/s12665-01 Abstract Bacterial attenuation in porous media is often higher in columns than in the field. This study investigates whether this
Restricted completion of sparse partial Latin squares.
Combinatorics, Probability and Computing, 1-21. doi:10.1017/S096354831800055X, Cambridge University Press. Abstract An n × n partial Latin square P is called α-dense if each row and column has at most αnnon-emp times in . An × array where each cell contains a subset of {1,…, } is a (, ) -array if each symbol occurs at most times in each row and column and each cell contains a set of size at most . Combining the notions of completing partial Latin squares and avoiding arrays, we prove that there are constants , > 0 such that, for every positive integer , if is an -dense × partial Latin square, is an × -array, and no cell of contains a symbol that appears in the corresponding cell of , then there is a completion of that avoids ; that is, there is a Latin square that agrees with on every non-empty cell of , and, for each , satisfying 1 ≤ , ≤ , the symbol in position (, ) in does not appear in the corresponding cell of .
Daniel Waldenström: Richer and More Equal: A New History of Wealth in the West
Venue: Institute for Futures Studies, Holländargatan 13 in Stockholm, or online. Research seminar with Daniel Waldenström, Professor of Economics and Director of the Taxes and Society research program a
