Abstract We characterise the respective semigroups of mappings that preserve, or preserve reverse orientation a finite cycle, in terms their actions on oriented triples and quadruples. This leads to proof latter semigroup coincides with all intersections chords corresponding circle.

ly, a table represents a relation, defined mathematically as a collection of “tuples” (triples, quadruples, etc.) of values for some attributes. For example, the triple (Dyirbal, dbl, 40) represents the name, ISO code and recorded population of a language. 13 Now that we have more than one table, it is useful to identify them by name.

Basis set convergence of correlation effects on molecular atomization energies beyond the coupled cluster with singles and doubles (CCSD) approximation has been studied near the one-particle basis set limit. Quasiperturbative connected triple excitations, (T), converge more rapidly than L(-3) (where L is the highest angular momentum represented in the basis set), while higher-order connected tr...

A directed path graph is the intersection graph of a family of directed subpaths of a directed tree. A rooted path graph is the intersection graph of a family of directed subpaths of a rooted tree. Rooted path graphs are directed path graphs. Several characterizations are known for directed path graphs: one by forbidden induced subgraphs and one by forbidden asteroids. It is an open problem to ...