The Maslov dequantization, idempotent and tropical mathematics: A brief introduction TeX Export

@article{citeulike:1588311, abstract = {This paper is a brief introduction to idempotent and tropical mathematics. Tropical mathematics can be treated as a result of the so-called Maslov dequantization of the traditional mathematics over numerical fields as the Planck constant \$\hbar\$ tends to zero taking imaginary values.}, archivePrefix = {arXiv}, author = {Litvinov, G. L.}, citeulike-article-id = {1588311}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0507014}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0507014}, citeulike-linkout-2 = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2005math......7014L}, eprint = {math/0507014}, journal = {ArXiv Mathematics e-prints}, keywords = {algebraic-geometry, classicality, concept-lattice, correspondence, extremal-mathematics, extremal-physics, extremality, extremum, higher-dimensional-algebra, idempotence, idempotent-mathematics, optimality, optimization-theory, parallelization, probability-theory, variational-physics}, month = {July}, posted-at = {2007-08-24 13:16:58}, priority = {2}, title = {The Maslov dequantization, idempotent and tropical mathematics: A brief introduction}, url = {http://arxiv.org/abs/math/0507014}, year = {2005} }

TY - JOUR ID - citeulike:1588311 L3 - citeulike-article-id:1588311 N2 - This paper is a brief introduction to idempotent and tropical mathematics. Tropical mathematics can be treated as a result of the so-called Maslov dequantization of the traditional mathematics over numerical fields as the Planck constant $\hbar$ tends to zero taking imaginary values. JF - ArXiv Mathematics e-prints TI - The Maslov dequantization, idempotent and tropical mathematics: A brief introduction KW - algebraic-geometry KW - classicality KW - concept-lattice KW - correspondence KW - extremal-mathematics KW - extremal-physics KW - extremality KW - extremum KW - higher-dimensional-algebra KW - idempotence KW - idempotent-mathematics KW - optimality KW - optimization-theory KW - parallelization KW - probability-theory KW - variational-physics AU - Litvinov, GL PY - 2005/July// UR - http://arxiv.org/abs/math/0507014 ER -