| NOUN | a Hasse diagram | Hasse diagrams | |
NOUN article.ind sg | pl
2 translations
To translate another word just start typing!
Usage Examples English
- The last of these properties - the transitive property of posets - was exploited by Helmut Hasse to give us the Hasse diagram - a diagram of incredible power, simplicity and if drawn well elegant as well.
- Topologically, a self-dual polyhedron is one whose dual has exactly the same connectivity between vertices, edges and faces. Abstractly, they have the same Hasse diagram.
- When the transitive reduction operation is applied to a directed acyclic graph that has been constructed in this way, it generates the covering relation of the partial order, which is frequently given visual expression by means of a Hasse diagram.
- The maximal subgroups are linked to the group itself (on top of the Hasse diagram) by an edge of the Hasse diagram.
- The Hasse diagram defines the unique poset and therefore fully captures the structure of the polytope.
- The graph of the "n"-hypercube's edges is isomorphic to the Hasse diagram of the ("n"−1)-simplex's face lattice.
- The Hasse diagram of the face lattice of an "n"-simplex is isomorphic to the graph of the ("n" + 1)-hypercube's edges, with the hypercube's vertices mapping to each of the "n"-simplex's elements, including the entire simplex and the null polytope as the extreme points of the lattice (mapped to two opposite vertices on the hypercube).
- The 'butterfly' becomes apparent when trying to draw the Hasse diagram of the various groups involved.
- A poset can be visualized through its Hasse diagram, which depicts the ordering relation.
- The resulting Hasse diagram is similar to Fig. 3.2 in Casati and Varzi (1999: 48).
- The "partition lattice" of a 4-element set has 15 elements and is depicted in the Hasse diagram on the left.
- 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.
- The 16 logical connectives can be partially ordered to produce the following Hasse diagram.
- The structure of the Hasse diagram of the group is related geometrically to the cohomology of the manifold (rather, of the real and complex forms of the group), which is constrained by Poincaré duality.
- Then [...] is the poset with the Hasse diagram below.
- Hasse diagrams can visually represent the elements and relations of a partial ordering.
© dict.cc Russian-English dictionary 2025
Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
Links to this dictionary or to individual translations are very welcome!