Properties
commutativity: yes
associativity: yes
distributivity: with various operations, especially with and
| others | ||||||||||||||||||||||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
with biconditional: with material implication: with itself: |
idempotency: yes
monotonicity: yes
truth-preserving: yes
When all inputs are true, the output is true.
falsehood-preserving: yes
When all inputs are false, the output is false.
Walsh spectrum: (3,-1,-1,-1)
Nonlinearity: 1 (the function is bent)
If using binary values for true (1) and false (0), then logical disjunction works almost like binary addition. The only difference is that, while .
Read more about this topic: Logical Disjunction
Famous quotes containing the word properties:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)