What does hasse diagram mean?

Definitions for hasse diagram
has·se di·a·gram

This dictionary definitions page includes all the possible meanings, example usage and translations of the word hasse diagram.


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Wiktionary

  1. Hasse diagramnoun

    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 and then no arrow is drawn from x to z, but if there is no distinct z between x and y (such that ) then an arrow is draw from x to y.

Wikidata

  1. Hasse diagram

    In order theory, a Hasse diagram is a type of mathematical diagram used to represent a finite partially ordered set, in the form of a drawing of its transitive reduction. Concretely, for a partially ordered set one represents each element of S as a vertex in the plane and draws a line segment or curve that goes upward from x to y whenever y covers x. These curves may cross each other but must not touch any vertices other than their endpoints. Such a diagram, with labeled vertices, uniquely determines its partial order. Hasse diagrams are named after Helmut Hasse; according to Birkhoff, they are so-called because of the effective use Hasse made of them. However, Hasse was not the first to use these diagrams; they appear, e.g., in Vogt. Although Hasse diagrams were originally devised as a technique for making drawings of partially ordered sets by hand, they have more recently been created automatically using graph drawing techniques. The phrase "Hasse diagram" may also refer to the transitive reduction as an abstract directed acyclic graph, independently of any drawing of that graph, but this usage is eschewed here.

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Numerology

  1. Chaldean Numerology

    The numerical value of hasse diagram in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of hasse diagram in Pythagorean Numerology is: 6


Translations for hasse diagram

From our Multilingual Translation Dictionary

  • आरेख चित्र हैHindi
  • اساسی ڈایاگرامUrdu

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"hasse diagram." Definitions.net. STANDS4 LLC, 2024. Web. 23 Dec. 2024. <https://www.definitions.net/definition/hasse+diagram>.

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