x_{1} is a relation space formed from elements/nodes in set x_{2} and relationship x_{3} which connects them.

x_{1} is a space/directed graph/set of ordered n-tuples which is formed from the endowment of of a space/set (of possible nodes) x_{2} with the relationship x_{3} which is n-ary.
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 n-tuples 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.

- taknyklojyzilpra
- x
_{1}is the transitive closure (directed graph/set of ordered 2-tuples/space) derived/produced/induced from relation space x_{2}.