例句與造句

1. He also made important contributions to the theory of median algebras.
2. Birkhoff and Kiss showed that a median algebra with elements 0 and 1 satisfying \ langle0, x, 1 \ rangle = x is a distributive lattice.
3. Conversely, in any median algebra, one may define an " interval " [ x, z ] to be the set of elements y such that \ langle x, y, z \ rangle = y.
4. One may define a graph from a median algebra by creating a vertex for each algebra element and an edge for each pair ( x, z ) such that the interval [ x, z ] contains no other elements.
5. The complete subgraphs of " G " can be given the structure of a median algebra : the median of three cliques " A ", " B ", and " C " is formed by the vertices that belong to a bipartite.
6. It's difficult to find median algebra in a sentence. 用median algebra造句挺難的
7. It is also possible to define median graphs as the solution sets of 2-satisfiability problems, as the retracts of hypercubes, as the graphs of finite median algebras, as the Buneman graphs of Helly split systems, and as the graphs of windex 2; see the sections below.
8. In a Boolean algebra, or more generally a distributive lattice, the median function \ langle x, y, z \ rangle = ( x \ vee y ) \ wedge ( y \ vee z ) \ wedge ( z \ vee x ) satisfies these axioms, so that every Boolean algebra and every distributive lattice forms a median algebra.
9. Simplex graphs were introduced by, who observed that a simplex graph has no cubes if and only if the underlying graph is triangle-free graphs with high chromatic number, they showed that there exist two-dimensional topological median algebras that cannot be embedded into products of finitely many real trees . also use simplex graphs as part of their proof that testing whether a graph is triangle-free or whether it is a median graph may be performed equally quickly.