# combination

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## 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 ?
Note: I would be pleased to send any interested reader the patent references from the Maro Collection for Combinatorial Chemistry.
Zhao, Combinatorial materials science: What's new since Edison?
Combinatorial Chemistry (published 01/2003, 247 pages) is available for \$4,000 from The Freedonia Group, Inc.
To establish the financial value of combinatorial research, the study converted the responses of those interviewed into a proforma simulation of business performance.
Similarly, if one chooses f(0,y) and f(x,0) to be computable but not combinatorial, with f(x + 1, y + 1) = x + y + 2 as before, then, since constant functions are combinatorial and the combinatorial functions are closed under composition, f(x,y) will be eventually c.
Together, these patents provide broad method and composition claims for combinatorial biosynthesis processes, library formats, vectors and expression host systems, high throughput screening formats and source material for use in the discovery of pharmaceutical and other products derived from natural sources.
Sometimes viewed as a competitor of sorts to biotechnology techniques, combinatorial chemistry is increasingly being used in concert with biotech methodologies to pursue drug targets.
The screening of these alloys for catalytic activity was a problem especially well-suited for combinatorial methods.
agreed on a collaboration involving Pharmacopeia's combinatorial chemistry and high-throughput screening technology for drug discovery.
Combinatorial materials science involves using advanced materials fabrication methods which produce a large number of different materials on a substrate in one experiment under identical conditions, thus allowing for screening for desired physical properties by high-throughput characterization tools such as parallel or fast sequential methods.
The combinatorial idea has had an enormous amount of support from many people over many years," says John S.

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