jan/uni_notes
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

vault backup: 2026-03-07 08:54:40

Browse Source
This commit is contained in:
Jan Meyer
2026-03-07 08:54:40 +01:00
parent ac0f30aa5d
commit 86dc0e0b9c
1 changed files with 7 additions and 6 deletions
Download Patch File Download Diff File Expand all files Collapse all files

13
DAS/Set Theory.md
View File

@@ -86,9 +86,10 @@ $$
## Relations ## Relations
| Relation | Explanation | Example | | Relation | Explanation | Example |
| ---------------- | --------------------------------------------------------------------------------------------------------------------- | ----------------------- | | ---------------- | :-------------------------------------------------------------------------------------------------------------------- | ------------------------- |
| *transitive*<br> | "chain reaction", a information about $a$ in relation to $c$ can be inferred from the relations $a -> b$ and $b -> c$ | $a < b, b < c => a < c$ | | *transitive*<br> | "chain reaction", a information about $a$ in relation to $c$ can be inferred from the relations $a -> b$ and $b -> c$ | $a < b, b < c => a < c$ |
| *reflexive* | every element is related to itself with the given relation | $a <= a, 5 = 5$ | | *reflexive* | every element is related to itself with the given relation | $a <= a, 5 = 5$ |
| *anti-reflexive* | every element is *NOT* related to itself in the given relation | $a < a$ | | *anti-reflexive* | every element is *NOT* related to itself in the given relation | $a < a$ |
| *symmetric* | the given relation work both ways | $a = b => b = a$ | | *symmetric* | the given relation work both ways | $a = b => b = a$ |
| *antisymmetric* | the given relation only works both ways if $a$ and $b$ are the same | $a <= b, b <= a => a = b$ |