Slaves of water : indigenous knowledge of fisheries on the floodplain of Bangladesh.

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Quantitative rational approximation on spheres

We prove a quantitative theorem for Diophantine approximation by rational points on spheres. Our results are valid for arbitrary unimodular lattices and we further prove 'spiraling' results for the direction of approximates. These results are quantitative generalizations of the Khintchine-type theorem on spheres proved by Kleinbock and Merrill.Comment: Minor change

Equidistribution on homogeneous spaces and the distribution of approximates in Diophantine approximation

The present paper is concerned with equidistribution results for certain flows on homogeneous spaces and related questions in Diophantine approximation. Firstly, we answer in the affirmative, a question raised by Kleinbock, Shi and Weiss regarding equidistribution of orbits of arbitrary lattices under diagonal flows and with respect to unbounded functions. We then consider the problem of Diophantine approximation with respect to rationals in a fixed number field. We prove a number field analogue of a famous result of W. M.Schmidt which counts the number of approximates to Diophantine inequalities for a certain class of approximating functions. Further we prove "spiraling" results for the distribution of approximates of Diophantine inequalities in number fields. This generalizes the work of Athreya, Ghosh and Tseng as well as Kleinbock, Shi and Weiss.Comment: Minor changes following referee report. This is the final version. To appear in the Transactions of the AM

KanSched2 user's manual

Rogers, Danny H. and Mahbub Alam, KanSched2: An ET-Based Irrigation Scheduling Tool, Kansas State University, February 2007

Design criteria: urban WSS Bangladesh

Design criteria: urban WSS Banglades

ASSESSING AURAL COMFORT OF HIGH-RISE APARTMENT DWELLERS IN THE TROPICS

Ph.DDOCTOR OF PHILOSOPH