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Extracting features from eigenfunctions: higher Cheeger constants and sparse eigenbasis approximation
http://dx.doi.org/10.1017/S0004972712000330
Notes on Atkin-Lehner theory for Drinfeld modular forms
http://dx.doi.org/10.1017/S000497271200033
An analogue of the Schur–Siegel–Smyth trace problem
http://dx.doi.org/10.1017/S000497271200033
Remarks on Hilbert's tenth problem and the Iwasawa theory of elliptic curves
http://dx.doi.org/10.1017/S000497271200033
Nowhere-zero 3-flows in two families of vertex-transitive graphs
http://dx.doi.org/10.1017/S000497271200033
Analysis of electromagnetically driven flow in an annular layer of conducting fluid
http://dx.doi.org/10.1017/S000497271200033
Investigating the effect of changing the decay coefficient in an activated sludge model
The activated sludge process (ASP) is widely used to treat both domestic and industrial wastewaters. The main disadvantage of the ASP is the expense of disposing of excess sludge, which can account for between fifty to sixty percent of the operating costs of a treatment plant. We examine a model for the ASP in which the biochemical processes are represented by a simplified version of the well known activated sludge model No. 1. A promising method to decrease sludge production is to increase sludge biodegradability. A variety of experimental methods exist to do this, such as enzyme treatment, ozonation, heat treatment, and ultrasound. We investigate the effect of increasing the decay coefficient upon two important process variables: the chemical oxygen demand and the total suspended solids.
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S. G. Lu, T. Imai, M. Ukita, M. Sekine, T. Higuchi, and M. Fukagawa. A model for membrane bioreactor process based on the concept of formation and degradation of soluble microbial products. Water Res. 35.8 (2001), pp. 2038–2048. doi: 10.1016/S0043-1354(00)00461-9
M. I. Nelson, E. Balakrishnan, H. S. Sidhu, and X. D. Chen. A fundamental analysis of continuous flow bioreactor models and membrane reactor models to process industrial wastewaters. Chem. Eng. J. 140.1-3 (2008), pp. 521–528. doi: 10.1016/j.cej.2007.11.035
M. I. Nelson, H. S. Sidhu, S. Watt, and F. I. Hai. Performance analysis of the activated sludge model (number 1). Food Bioprod. Process. 116 (2019), pp. 41–53. doi: 10.1016/j.fbp.2019.03.014
Y. Wei, R. T. Van Houten, A. R. Borger, D. H. Eikelboom, and Y. Fan. Minimization of excess sludge production for biological wastewater treatment. Water Res. 37.18 (2003), pp. 4453–4467. doi: 10.1016/S0043-1354(03)00441-X
S.-H. Yoon and S. Lee. Critical operational parameters for zero sludge production in biological wastewater treatment processes combined with sludge disintegration. Water Res. 39 (2005), pp. 3738–3754. doi: 10.1016/j.watres.2005.06.01
A note on the number of solutions of ternary purely exponential Diophantine equations
http://dx.doi.org/10.1017/S000497271200033