nested sets

nested sets

[′nes·təd ′sets]
(mathematics)
A family of sets where, given any two of its sets, one is contained in the other. Also known as monotonic system of sets.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Different polytopal realizations of the G-associahedron were constructed [CD06, Dev09, Pos09, FS05, Zel06], but all with the same normal fan: its rays are the characteristic vectors of the tubes of G and its cones are the cones over the nested sets of G.
Such constructions would yield in particular geometrically distinct normal fans and different poset structures on maximal nested sets, exactly as C.
Only the second-round amplicon of the 3 nested sets of nested primer pairs (2, 3, and 9) was considered because the second round increased the total number of positive specimens over the first round.
"This type of '40s/'50s pottery is useful as well as beautiful, though it's come to be in such demand that most collectors don't use it as much anymore, at least not for everyday." The kitchen pieces such as creamers, sugar bowls and nested sets of three mixing bowls get snapped up quickly, says Lazzarra, "especially sets of bowls, as they're pretty rare.
Two nested sets of families, W2 and W1, were sampled twice, each time at a different location (E and Q, and A and E, respectively).
- Among the four sets of families sampled at one year of age, only two nested sets of families, W2E and H3E, were used for analysis of family differences and parental effects.
1985).(3) Again, contrary to the findings of some other studies, the resident bird communities of the small and medium-sized islands did not form highly ordered nested sets. No species was resident on more than 9 out of the 11 islands in these two size classes, and only five species occupied more than 6 of the 11 islands.
In a collection of nested sets either any two are disjoint or one is a subset of the other.
dispar, nested sets of primers (designated E-1/E-2, Eh-1/Eh-2, and Ed-1/Ed-2) were used, as described (11), to detect E.