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2019 | OriginalPaper | Chapter

2. Integration and Separation

Author : Octavian Iordache

Published in: Advanced Polytopic Projects

Publisher: Springer International Publishing

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Abstract

Trees are combinatorial objects that describe multi-scale systems, classifications, separation schemes, schedules, automata self-reconfiguration, logical schemes, and organizational structures. Hopf algebras and dual graded graphs associated to trees generate separation schemes and highlight the separation-integration methods. Schemes of operations as middle vessel column MVC distillation, pressure swing adsorption, PSA, or simulated moving bed, SMB, of increasing importance in chemical, pharmaceutical and food industry or in environment protection are studied here. Innovative cyclic operations of separation have been proposed as polytopic projects.

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Aguiar, M., Sottile, F.: Cocommutative Hopf algebras of permutations and trees. J. Algebraic Comb. 22(4), 451–470 (2005)MathSciNetCrossRef

Ammon, J.: Hypercube Connectivity within ccNUMA Architectures. SGI Origin Team, Mountain View, CA (1998)

Brouder, C., Frabetti, A.: QED Hopf algebras on planar binary trees. J. Algebra 267(1), 298–322 (2003)MathSciNetCrossRef

Connes, A., Kreimer, D.: Hopf algebras, renormalization and noncommutative geometry. Comm. Math. Phys. 199(1), 203–242 (1998)MathSciNetCrossRef

Connes, A., Kreimer, D.: Renormalization in QFT and the Riemann-Hilbert Problem I. Comm. Math. Phys. 210, 249–273 (2000)MathSciNetCrossRef

Dăscălescu, S., Năstăsescu, C., Raianu, Ș.: Hopf Algebras. An introduction, Pure and Applied Mathematics, vol. 235 Marcel Dekker (2001)

Demicoli, D., Stichlmair, J.: Novel operational strategy for the separation of ternary mixtures via cyclic operation of a batch distillation column with side withdrawal. Chem. Eng. Trans. 3, 361–366 (2003)

Flodman, H.R., Timm, D.C.: Batch distillation employing cyclic rectification and stripping operations. ISA Trans. 51(3), 454–460 (2012)CrossRef

Fomin, S.: Duality of graded graphs. J. Algebraic Combin. 3, 357–404 (1994)MathSciNetCrossRef

Fulman, J.: Mixing time for a random walk on rooted trees. Electron. J. Combin., 16(1), Research Paper 139, 13(2009)

Grossman, R., Larson, R.G.: Hopf algebraic structures of families of trees. J. Algebra 126, 184–210 (1989)MathSciNetCrossRef

Grossman, R., Larson, R.G.: Solving nonlinear equations from higher order derivations in linear stages. Adv. Math. 82(2), 180–202 (1990)MathSciNetCrossRef

Hoffman, M.E.: Combinatorics of rooted trees and Hopf algebras. Trans. Amer. Math. Soc. 355, 3795–3811 (2003)MathSciNetCrossRef

Hoffman, M.E.: Rooted Trees and Symmetric Functions: Zhao’s Homomorphism and the commutative Hexagon. arXiv:0812.2419 (2008)

Iordache, O.: Polytope Projects. Taylor & Francis CRC Press, Boca Raton, FL (2013)CrossRef

Iordache, O.: Implementing Polytope Projects for Smart Systems. Springer, Cham, Switzerland (2017)CrossRef

Kotai, B., Lang, P., Balazs, T.: Separation of maximum azeotropes in a middle vessel column. In: Institution of Chemical Engineers Symposium Series, vol. 152, pp. 699–708. Institution of Chemical Engineers, 1999 (2006)

Loday, J.-L., Ronco, M.: Hopf algebra of the planar binary trees. Adv. Math. 139, 299–309 (1998)MathSciNetCrossRef

Luo, L. (ed.): Heat and mass transfer intensification and shape optimization: A multi-scale approach. Springer, Berlin (2013)

Pang, C.Y.: Markov Chains from Descent Operators on Combinatorial Hopf Algebras. arXiv preprint arXiv:1609.04312. 2016 Sep 14 (2016)

Qing, Y.: Differential posets and dual graded graphs. Diss. MIT, Cambridge (2008)

Ruthven, D.M.: Principles of Adsorption and Adsorption Processes. Wiley, New York (1984)

Seitz, C.L.: The cosmic cube. Commun. ACM 28(1), 22–33 (1985)CrossRef

Sloss, C.A.: Enumeration of walks on generalized differential posets. M.S. Thesis, University of Waterloo, Canada (2005)

Stanley, R.P.: Differential posets. J. Amer. Math. Soc. 1, 919–961 (1988)MathSciNetCrossRef

Stanley, R.P.: Enumerative Combinatorics, vol. 1. Cambridge University Press, Cambridge (1997)CrossRef

Yang, R.T.: Gas Separation by Adsorption Processes. Butherworths, Boston, MA (1987)

Title: Integration and Separation
Author: Octavian Iordache
Publisher: Springer International Publishing
Book: Advanced Polytopic Projects
Print ISBN: 978-3-030-01242-7

Electronic ISBN: 978-3-030-01243-4

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-030-01243-4_2

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