partition lattice
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Partition of a set — In mathematics, a partition of a set X is a division of X into non overlapping parts or blocks or cells that cover all of X . More formally, these cells are both collectively exhaustive and mutually exclusive with respect to the set being… … Wikipedia
Lattice energy — Sodium chloride crystal lattice The lattice energy of an ionic solid is a measure of the strength of bonds in that ionic compound. It is usually defined as the enthalpy of formation of the ionic compound from gaseous ions and as such is… … Wikipedia
Partition (number theory) — Young diagrams associated to the partitions of the positive integers 1 through 8. They are so arranged that images under the reflection about the main diagonal of the square are conjugate partitions. In number theory and combinatorics, a… … Wikipedia
Partition coefficient — In chemistry and the pharmaceutical sciences, a partition (P) or distribution coefficient (D) is the ratio of concentrations of a compound in the two phases of a mixture of two immiscible solvents at equilibrium.[1] The terms gas/liquid partition … Wikipedia
Partition function (mathematics) — The partition function or configuration integral, as used in probability theory, information science and dynamical systems, is an abstraction of the definition of a partition function in statistical mechanics. It is a special case of a… … Wikipedia
Lattice bridge — Bridge Bridge (br[i^]j), n. [OE. brig, brigge, brug, brugge, AS. brycg, bricg; akin to Fries. bregge, D. brug, OHG. brucca, G. br[ u]cke, Icel. bryggja pier, bridge, Sw. brygga, Dan. brygge, and prob. Icel. br[=u] bridge, Sw. & Dan. bro bridge,… … The Collaborative International Dictionary of English
Noncrossing partition — A noncrossing partition of ten points In combinatorial mathematics, the topic of noncrossing partitions has assumed some importance because of (among other things) its application to the theory of free probability. The set of all noncrossing… … Wikipedia
Young's lattice — In mathematics, Young s lattice is a partially ordered set and a lattice that is formed by all integer partitions. It is named after Alfred Young, who in a series of papers On quantitative substitutional analysis developed representation theory… … Wikipedia
Square-lattice Ising model — The two dimensional square lattice Ising model was solved by Lars Onsager in 1944 for the special case that the external field H = 0. The general case for H eq 0 has yet to be found.Consider the 2D Ising model on a square lattice Lambda with N… … Wikipedia
List of partition topics — This is a list of partition topics, in the mathematical sense. Partition (disambiguation) lists meanings in other fields. In mathematics, a partition may be a partition of a set or an ordered partition of a set, or a partition of a graph, or a… … Wikipedia
Dowling geometry — In combinatorial mathematics, a Dowling geometry, named after Thomas A. Dowling, is a matroid associated with a group. There is a Dowling geometry of each rank for each group. If the rank is at least 3, the Dowling geometry uniquely determines… … Wikipedia
