# combination

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Related to combinatorial: Combinatorial chemistry, Combinatorial proof, Combinatorial Logic

## combination,

in law, arrangement whereby property legally owned by one person is administered for the benefit of another. Three parties are ordinarily needed for the relation to arise: the settlor, who bequeaths or deeds the property for another's benefit; the trustee, in whose hands
.

## Combination

(in Russian, kombinatsiia). (1) An interdependent union, connection, or arrangement of several objects or component parts (elements) of a single object.

(2) A set of procedures for carrying out a complex plan, such as a chess combination.

(3) A contrivance, trick, or subterfuge; a deliberate maneuver to achieve a mercenary or other improper goal (commercial combination; political combination).

(4) An item of women’s underclothing (a slip).

## Combination

in mathematics. Combinations of n elements taken k at a time are sets that contain k of the n elements and that differ from each other in at least one element. The number of combinations of n elements, k at a time, is denoted by , C (n, k), or and is equal to n!/k!(n - k)! (seeCOMBINATORICS).

## combination

[‚käm·bə′nā·shən]
(mathematics)
A selection of one or more of the elements of a given set without regard to order.

## combination

1.
a. the set of numbers that opens a combination lock
b. the mechanism of this type of lock
2. Brit a motorcycle with a sidecar attached
3. Maths
a. an arrangement of the numbers, terms, etc., of a set into specified groups without regard to order in the group
b. a group formed in this way. The number of combinations of n objects taken r at a time is n!/[(n -- r)!r!]. Symbol: nCr
4. the chemical reaction of two or more compounds, usually to form one other compound
5. Chess a tactical manoeuvre involving a sequence of moves and more than one piece

## combination

(mathematics)
A set containing a certain number of objects selected from another set.

The number of combinations of r objects chosen from a set of n is

n C r = n! / ((n-r)! r!)

where "n C r" is normally with n and r as subscripts or as n above r in parentheses.

## combination

(reduction)
In the theory of combinators, a combination denotes an expression in which function application is the only operation.
References in periodicals archive ?
He has authored and co-authored numerous scientific papers as well as written a textbook on Combinatorial Chemistry.
We are happy to collaborate exclusively with Isis in combinatorial small molecule drug discovery because of Isis' impressive capabilities in combinatorial chemistry, classical medicinal chemistry and overall expertise in drug discovery and development," said Robert J.
A combined instrument with both XRD and Raman capabilities is very beneficial to high-throughput combinatorial screening in advanced materials and catalyst discovery.
With these technologies on the personal computer, researchers will be more effective in managing the volume and complexity of combinatorial data, which is rapidly exceeding the human capacity to assimilate.
Researchers are now combining combinatorial chemistry methodologies with nanotechnology to develop novel smart materials with higher performance standards.
In the combinatorial auctions studied, suppliers were free to bid for any combination of contracts but there had to be a submitted stand-alone bid for every contract being part of any combination.
They should be a union or a combination of all these features underlying a combinatorial structure.
Keywords High throughput screening, Combinatorial array, Parallel screening
However, Chomp has an important difference from chess and many other combinatorial games.
High efficiency methods consist of a combinatorial method and a high throughput method.
announced today its participation in Eurocombi 2, The Second European Symposium on Combinatorial Sciences in Biology, Chemistry, Catalysts and Materials, in Copenhagen, held from June 29 to July 3, 2003.
The author introduces and discusses the distinction between the discrete approach to possibilia as combinatorial constructs of modally discrete atoms, and the analogical approach which analyses possibilia as functional constructs of entities introduced by a Ramsey sentence.

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