In mathematics, in the field of tropical analysis, the log semiring is the semiring structure on the logarithmic scale, obtained by considering the extended...

and multiplicatively idempotent semiring, but sometimes also just idempotent semiring. The commutative, simple semirings with that property are exactly...

family. In tropical analysis, this is the sum in the log semiring. Logarithmic mean Log semiring Smooth maximum Softmax function Zhang, Aston; Lipton...

In idempotent analysis, the tropical semiring is a semiring of extended real numbers with the operations of minimum (or maximum) and addition replacing...

Napier Level (logarithmic quantity) Log–log plot Logarithm Logarithmic mean Log semiring Preferred number Semi-log plot Order of magnitude Entropy Entropy...

and form a semiring, called the probability semiring; this is in fact a semifield. The logarithm then takes multiplication to addition (log multiplication)...

case of the Stolarsky mean. Logarithmic mean temperature difference Log semiring Citations B. C. Carlson (1966). "Some inequalities for hypergeometric...

{\displaystyle \mathbb {R} _{\geq 0}} has a semiring structure (0 being the additive identity), known as the probability semiring; taking logarithms (with a choice...

arg min, corresponding to using the log semiring instead of the max-plus semiring (respectively min-plus semiring), and recovering the arg max or arg...

Extended complex plane Extended natural numbers Improper integral Infinity Log semiring Series (mathematics) Projectively extended real line Computer representations...