𝔖 Bobbio Scriptorium
✦   LIBER   ✦

ON ORDERING OF THE SYSTEM OF ALL SUBSETS OF A GIVEN SET

✍ Scribed by Milan Sekanina


Publisher
John Wiley and Sons
Year
1964
Tongue
English
Weight
983 KB
Volume
10
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the minimal cofinal subsets of a dire
✍ Wang Shang-Zhi; Li Bo-Yu πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 818 KB

It is shown that for any directed quasi-ordered set (Q, ~<), there is a minimal ordinal number h such that every cofinal subset of Q contains a cofinal subset which is the 0-th class original set of a pure h-th class chain of Q. A special case of our results gives necessary and sufficient conditions

Minimum range sequences of all k-subsets
✍ F.K. Hwang; J.C. Lagarias πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 703 KB

The purpose of this paper is to find sequential orderings of the class S, of at, k -element subsets of the u element set V = (1,2.. . . ~ u} with certain mirlimizmg properties. A sequential ordering of Sa is just a numbering of the (l) k -element subsets of V, where the first one is sI. the second s

Periodic Solutions in a Given Set of Dif
✍ Jan Andres; Bohumil Krajc πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 119 KB

The existence of a periodic solution in a given set of Caratheodory differential Ε›ystems is studied. The proof of the main statement is based on the Wazewski-type Θ§pproach jointly with the degree arguments. An illustrating example is supplied, and a comparison with the analogous results of other aut

Antichains in the set of subsets of a mu
✍ G.F Clements πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 946 KB

A set F of distinct subsets x of a finite muhiset M (that is, a set with several different kinds of elements) is a c-antichain if for no c+l elements Xo, xl ..... x c of F does XoCXlc...=xΒ’ hold. The weight of F, wF, is the total number of elements of M in the various elements x of F. For given inte