File:Venn0001.svg · Wikimedia Commons · See Wikimedia Commons
การเชื่อมเชิงตรรกศาสตร์
Sign in to saveAlso known as AND, logical AND, conjunction, ∧, conjoint, logical multiplication
logical connective AND
AI overview
A logical conjunction is when you connect two statements with "AND" to create a new statement that is only true if both parts are true. It matters because it's a fundamental way we reason about situations that require multiple conditions to be satisfied at the same time, like "it's raining AND it's cold" being only true when both weather conditions actually occur.
AI-generated from the Wikipedia summary — may contain errors.
Key facts
- Definition
- x y {\displaystyle xy}
- Truth table
- ( 1000 ) {\displaystyle (1000)}
- Disjunctive
- x y {\displaystyle xy}
- Conjunctive
- x y {\displaystyle xy}
- Zhegalkin polynomial
- x y {\displaystyle xy}
- 0 preserving
- yes
- 1 preserving
- yes
- Monotone
- yes
- Affine
- no
- Self dual
- no
via Wikipedia infobox
Wikidata facts
- Instance of
- logical operator
- Image
- Venn0001.svg
Show 5 more facts
- Unicode character
- ∧
- TeX string
- \land
- different from
- conjunction
- Commons category
- Logical conjunction
- maintained by WikiProject
- WikiProject Mathematics
via Wikidata · CC0