Hasse diagram

English

Named after Helmut Hasse (1898–1979), though he was not the first to use them.

Hasse diagram (plural Hasse diagrams)

(set theory) A diagram which represents a finite poset, in which nodes are elements of the poset and arrows represent the order relation between elements. Transitivity of the order relation is tacit, in other words, if ${\\displaystyle x\\leq y}$ and ${\\displaystyle y\\leq z}$ then no arrow is drawn from x to z, but if there is no distinct z between x and y (such that ${\\displaystyle x\\leq z\\leq y}$ ) then an arrow is draw from x to y.

单词	Hasse diagram
释义	Hasse diagram English Etymology Named after Helmut Hasse (1898–1979), though he was not the first to use them. Noun Hasse diagram (plural Hasse diagrams) (set theory) A diagram which represents a finite poset, in which nodes are elements of the poset and arrows represent the order relation between elements. Transitivity of the order relation is tacit, in other words, if ${\\displaystyle x\\leq y}$ and ${\\displaystyle y\\leq z}$ then no arrow is drawn from x to z, but if there is no distinct z between x and y (such that ${\\displaystyle x\\leq z\\leq y}$ ) then an arrow is draw from x to y.
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