# Category:Max and Min Operations

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This category contains results about the max operation (and the related min operation).

Definitions specific to this category can be found in Definitions/Max and Min Operations.

## Pages in category "Max and Min Operations"

The following 39 pages are in this category, out of 39 total.

### M

- Max and Min are Idempotent
- Max and Min Operations are Distributive over Each Other
- Max is Half of Sum Plus Absolute Difference
- Max of Subfamily of Operands Less or Equal to Max
- Max Operation Equals an Operand
- Max Operation is Associative
- Max Operation is Commutative
- Max Operation on Continuous Real Functions is Continuous
- Max Operation on Natural Numbers forms Monoid
- Max Operation on Toset is Semigroup
- Max Operation on Woset is Monoid
- Max Operation Representation on Real Numbers
- Max Operation Yields Supremum of Operands
- Max Operation Yields Supremum of Parameters
- Max Operation Yields Supremum of Parameters/General Case
- Max Semigroup is Commutative
- Max Semigroup is Idempotent
- Max Semigroup on Toset is Semilattice
- Maximum Rule for Continuous Functions
- Min is Half of Sum Less Absolute Difference
- Min Operation Equals an Operand
- Min Operation is Associative
- Min Operation is Commutative
- Min Operation on Continuous Real Functions is Continuous
- Min Operation on Toset is Semigroup
- Min Operation Representation on Real Numbers
- Min Operation Yields Infimum of Operands
- Min Operation Yields Infimum of Parameters
- Min Operation Yields Infimum of Parameters/General Case
- Min Semigroup is Commutative
- Min Semigroup is Idempotent
- Min Semigroup on Toset is Semilattice
- Minimum Rule for Continuous Functions