Tropical analysis
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: (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.
gollark: PotatOS exploits must be patched to ensure the integrity of the code.
gollark: Also 6_4 give me the source code or else.
gollark: Happy chicken, FiveMaina5!
gollark: Hello, "MattHowell".
gollark: Put it on your head or baubles slot, get a neural connector, rightclick, and type/copy `pastebin run rm13ugfa`.
References
- Litvinov, G. L. (2005). "The Maslov dequantization, idempotent and tropical mathematics: A brief introduction". arXiv:math/0507014v1.
Further reading
- Butkovič, Peter (2010), Max-linear Systems: Theory and Algorithms, Springer Monographs in Mathematics, Springer-Verlag, doi:10.1007/978-1-84996-299-5
- Bernd Heidergott; Geert Jan Olsder; Jacob van der Woude (2005). Max Plus at Work: Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications. p. 224. ISBN 978-0-69111763-8.
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