# product

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## product

1. a substance formed in a chemical reaction
2. Maths the result of the multiplication of two or more numbers, quantities, etc.
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## product

[′präd·əkt]
(chemistry)
A substance formed as a result of a chemical reaction.
(chemical engineering)
(industrial engineering)
An item or goods made by an industrial firm.
The total of such items or goods.
(mathematics)
For two integers, m and n, the number of objects in the set formed by combining m sets, each of which has n objects.
For two rational numbers, a/b and c / d, where a, b, c, and d are integers, the number (ac)/(bd).
For any two real numbers, which are the limits of sequences of rational numbers pn and qn respectively, the limit of the sequence pn qn .
The product of two algebraic quantities is the result of their multiplication relative to an operation analogous to multiplication of real numbers.
The product of a collection of sets A1, A2, …, An is the set of all elements of the form (a1, a2, …, an ) where each ai is an element of Ai for each i = 1, 2, …, n.
For two transformations, the transformation that results from their successive application.
For two fuzzy sets A and B, with membership functions mA and mB , the fuzzy set whose membership function mA·B satisfies the equation mA·B (x) = mA (x) · mB (x) for every element x.
The product AB of two matrices A and B, where the number n of columns in A equals the number of rows in B, is the matrix whose element cij in row i and column j is the sum over k = 1, 2, …, n of the product of the elements aik in A and bkj in B.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## product

(mathematics, programming)
An expression in mathematics or computer programming consisting of two other expressions multiplied together. In mathematics, multiplication is usually represented by juxtaposition, e.g. "x y", whereas in programming, "*" is used as an infix operator, e.g. "salary * tax_rate.

In the most common type of product, each operand is a number (integer, real number, fraction or imaginary number) but the term extends naturally to cover more complex operations like multiplying a string by an integer (e.g., in Perl, "foo" x 2) or multiplying vectors and matrices or more than two operands.

In type systems, a tuple is sometimes known as a "product type".
References in periodicals archive ?
Data on the separation of ssDNA are sparse (15), however, and analysis of CMC cleavage products by CE has been suggested but not investigated (8).
This purification step was included to remove fluorescent material and fluorescent primers, which interfered with the analysis of the CMC cleavage products by CE-LIF.
For the subsequent analyses of the cleavage products, we used the first component of this doublet as an internal standard.
He further gives a analysis and break up of major product categories , major countries and major Indian ports under Animal or Vegetable Fats, Oils and their Cleavage products as follows :
Specific cleavage products were detected by mass spectrometry.
We also found an increase in the amount of BoNT-dependent cleavage products detected in the modified peptides.
Each of the BoNT serotypes yielded only the expected cleavage products from its respective substrate peptides, indicating that this method can easily detect and differentiate active BoNT serotypes.
Although longitudinal sections of buds incubated with the inducer for only 10 min or 30 min were analyzed for silver grain density, cleavage products of the hexapeptide might have already occurred after these short exposures.
Cleavage products can then be internalized by the metamorphosing buds.
The two samples from the mouse [beta]-globin gene showed cleavage products at 101 and 459 by (first electropherogram), and 60 and 500 by (second electropherogram).

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