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
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
, using the tropical semiring.
References
*
Further reading
*
*
See also
*
Lunar arithmetic
External links
MaxPlus algebraworking group, INRIA Rocquencourt
{{Mathanalysis-stub
Tropical geometry