In the mathematical discipline of idempotent analysis, tropical analysis is the study of the tropical semiring.

Contents

• Applications
• References
• Further reading
• See also
• External links

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: ${\displaystyle -\infty }$ (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

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, ISBN   978-1-84996-298-8
• 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. Princeton University Press. p. 224. ISBN   978-0-69111763-8.

See also

• Lunar arithmetic

External links

• MaxPlus algebra
• Max Plus working group, INRIA Rocquencourt

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