Tag: Duality

Free Download Duality System in Applied Mechanics and Optimal Control by Wan-Xie Zhong
English | PDF | 2004 | 467 Pages | ISBN : 1402078803 | 9.2 MB

Free Download Complementarity, Duality and Symmetry in Nonlinear Mechanics: Proceedings of the IUTAM Symposium by David Y. Gao
English | PDF | 2004 | 429 Pages | ISBN : 1402078870 | 32.7 MB

Free Download Linear Programming Duality: An Introduction to Oriented Matroids by Achim Bachem , Walter Kern
English | PDF | 1992 | 215 Pages | ISBN : 3540554173 | 15.4 MB
The main theorem of Linear Programming Duality, relating a "pri mal" Linear Programming problem to its "dual" and vice versa, can be seen as a statement about sign patterns of vectors in complemen tary subspaces of Rn. This observation, first made by R.T. Rockafellar in the late six ties, led to the introduction of certain systems of sign vectors, called "oriented matroids". Indeed, when oriented matroids came into being in the early seventies, one of the main issues was to study the fun damental principles underlying Linear Progra.mrning Duality in this abstract setting. In the present book we tried to follow this approach, i.e., rather than starting out from ordinary (unoriented) matroid theory, we pre ferred to develop oriented matroids directly as appropriate abstrac tions of linear subspaces. Thus, the way we introduce oriented ma troids makes clear that these structures are the most general -and hence, the most simple -ones in which Linear Programming Duality results can be stated and proved. We hope that this helps to get a better understanding of LP-Duality for those who have learned about it before und a good introduction for those who have not.

Free Download The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering
by Fabio Silva Botelho
English | 2023 | ISBN: 1032192097 | 328 pages | True PDF | 14.47 MB

Free Download Gauge/String Duality, Hot QCD and Heavy Ion Collisions
English | 2023 | ISBN: 1009403524 | 470 Pages | PDF (True) | 31 MB
Heavy ion collision experiments recreating the quark-gluon plasma that filled the nascent universe have established that it is a nearly perfect liquid that flows with such minimal dissipation that it cannot be seen as made of particles. String theory provides a powerful toolbox for studying matter with such properties. This book provides a comprehensive introduction to gauge/string duality and its applications to the study of the thermal and transport properties of quark-gluon plasma, the dynamics of how it forms, how it flows, and its response to probes including jets and quarkonium mesons. Calculations are discussed in the context of data from RHIC and LHC and results from finite temperature lattice QCD. This is an ideal reference for students and researchers in string theory, quantum field theory, quantum many-body physics, heavy ion physics and lattice QCD. This title from 2014 has been reissued as an Open Access publication on Cambridge Core.