{{Short description|Study of the tropical semiring}} In the mathematical discipline of idempotent analysis, '''tropical analysis''' is the study of the tropical semiring.
== Applications == The max tropical semiring can be used appropriately to determine marking times within a given Petri net and a vector filled with marking state at the beginning: <math>-\infty</math> (unit for max, tropical addition) means "never before", while 0 (unit for addition, tropical multiplication) is "no additional time".
Tropical cryptography is cryptography based on the tropical semiring.
Tropical geometry is an analog to algebraic geometry, using the tropical semiring.
== References == {{reflist}} {{refbegin}} * {{cite arXiv |author-link= |eprint=math/0507014v1 |title= The Maslov dequantization, idempotent and tropical mathematics: A brief introduction|class= |last1= Litvinov|first1= G. L.|year= 2005 }} {{refend}}
== Further reading == * {{citation|title=Max-linear Systems: Theory and Algorithms|first=Peter|last=Butkovič|series=Springer Monographs in Mathematics|doi=10.1007/978-1-84996-299-5|publisher=Springer-Verlag|year=2010|isbn=978-1-84996-298-8|url=http://swbplus.bsz-bw.de/bsz329518011inh.htm |url-access=subscription}} * {{cite book |title=Max Plus at Work: Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications |url=https://press.princeton.edu/titles/8120.html |author1=Bernd Heidergott |author2=Geert Jan Olsder |author3=Jacob van der Woude |year=2005 |isbn=978-0-69111763-8 |pages=224|publisher=Princeton University Press }}
==See also== *Lunar arithmetic
== External links == * [http://maxplus.org/ MaxPlus algebra] * [http://www.cmap.polytechnique.fr/~gaubert/maxplus.html Max Plus] working group, INRIA Rocquencourt
{{Abstract-algebra-stub}} {{Mathanalysis-stub}} Category:Tropical analysis Category:Tropical geometry