utkaje

From Lojban Wiki
Jump to navigation Jump to search

valsi

utkaje

type

fu'ivla

creator

krtisfranks

time entered

Thu Mar 7 04:45:14 2019  

English

Definition #71314 - Preferred

 

definition

x1 and x2 are path-linked by directed binary predicate x3 (ka) via intermediate steps x4 (ordered list; ce'o) in graph x5, such that (in the graph x5) both (A) no other node exists to which x2 is connected in/by the same way/direction/relation and (B) no other node exists to which x1 is connected in/by the opposite/(anti)symmetric/reversed way/direction/relation.

notes

Equivalent to " MATH

$x_1 \, x_2$

x1 x2 fo MATH

$x_4 \, x_5$

x4 x5 .utkaro fi x3 gi'e se .utkaro fi MATH

$x_<a class="undefined" href="../dict/3?bg=1;langidarg=2">3</a>^<a class="undefined" href="../dict/-1?bg=1;langidarg=2">-1</a>$

x3-1", where MATH

$x_<a class="undefined" href="../dict/3?bg=1;langidarg=2">3</a>^<a class="undefined" href="../dict/-1?bg=1;langidarg=2">-1</a>$

x3-1 is binary relation/predicate x3 with the order of its two arguments exchanged (basically: "se"-converted). Multiple paths may connect x1 and x2. There may be peripheral branches extending from x2 which are acyclic (or cyclic) such that they contain a node which has a directed distance from x2 which exceeds that of any path from x1 to x2; it is just the case that for any path connecting x1 and x2 in either direction, x1 and x2 are root/leaf nodes thereof.

gloss words

created by

krtisfranks

vote information

1

time

Fri Jan 15 03:36:41 2021



Examples


Etymology