Ordered set operators
From Wikipedia the free encyclopedia
In mathematical notation, ordered set operators indicate whether an object precedes or succeeds another. These relationship operators are denoted by the unicode symbols U+227A-F, along with symbols located unicode blocks U+228x through U+22Ex.
Mathematical Operators[1] Official Unicode Consortium code chart (PDF) | ||||||||||||||||
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F | |
U+227x | ≰ | ≱ | ≲ | ≳ | ≴ | ≵ | ≶ | ≷ | ≸ | ≹ | ≺ | ≻ | ≼ | ≽ | ≾ | ≿ |
U+228x | ⊀ | ⊁ | ⊂ | ⊃ | ⊄ | ⊅ | ⊆ | ⊇ | ⊈ | ⊉ | ⊊ | ⊋ | ⊌ | ⊍ | ⊎ | ⊏ |
U+22Bx | ⊰ | ⊱ | ⊲ | ⊳ | ⊴ | ⊵ | ⊶ | ⊷ | ⊸ | ⊹ | ⊺ | ⊻ | ⊼ | ⊽ | ⊾ | ⊿ |
U+22Dx | ⋐ | ⋑ | ⋒ | ⋓ | ⋔ | ⋕ | ⋖ | ⋗ | ⋘ | ⋙ | ⋚ | ⋛ | ⋜ | ⋝ | ⋞ | ⋟ |
U+22Ex | ⋠ | ⋡ | ⋢ | ⋣ | ⋤ | ⋥ | ⋦ | ⋧ | ⋨ | ⋩ | ⋪ | ⋫ | ⋬ | ⋭ | ⋮ | ⋯ |
Notes
|
Examples
[edit]- The relationship x precedes y is written x ≺ y. The relation x precedes or is equal to y is written x ≼ y.
- The relationship x succeeds (or follows) y is written x ≻ y. The relation x succeeds or is equal to y is written x ≽ y.[citation needed]
Use in political science
[edit]In Political science and Decision theory, order relations are typically used in the context of an agent's choice, for example the preferences of a voter over several political candidates.
- x ≺ y means that the voter prefers candidate y over candidate x.
- x ~ y means the voter is indifferent between candidates x and y.
- x ≲ y means the voter is indifferent or prefers candidate y.[1]
See also
[edit]- Glossary of mathematical symbols
- Order theory
- Partially ordered set
- Directional symbols
- Polynomial-time reduction
References
[edit]- ^ Cooley, Brandon. "Ordered Sets" (PDF) (Lecture note for: Introduction to Mathematics for Political Science (2019) at Princeton University). pp. 2–3. Retrieved 2021-05-11.