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valsi 
ki'irgrafu 
type 
lujvo 
creator 
krtisfranks 
time entered 
Fri Feb 17 21:47:44 2017 
Examples


English


Definition #69338
 Preferred
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definition 
x_{1} is a relation space formed from elements/nodes in set x_{2} and relationship x_{3} which connects them. 
notes 
x_{1} is a space/directed graph/set of ordered ntuples which is formed from the endowment of of a space/set (of possible nodes) x_{2} with the relationship x_{3} which is nary. Suppose that x_{2} is binary; let y and z be elements in x_{2} and denote x_{3} by "R" so that "a R b" means that R relates 'a' to 'b' in that order (not necessarily the reverse); then: if y R z, then (y,z) is an element in x_{1}. In other words, x_{1} is the set of exactly all ordered edges between members of x_{2} (which are nodes/endpoints of members of x_{1}), which are formed iff R relates those members in the order indicated by the direction of the edge (source then destination; first term, then second term) when R is binary. Greater arity is possible (in which case ordered ntuples become useful and edges scale up dimensionally). x_{1} is the set of all ordered relationships in x_{2} formed by x_{3}. One valjvo of this word is an experimental gismu: grafu. 
gloss words 

created by 
krtisfranks 
vote information 
1

time 
Sun Sep 9 06:32:00 2018 



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