# 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.

## 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.

## 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 ?
The researchers took a closer look at a key protein in Alzheimer's pathogenisis, APP, and one of its cleavage products APPs?
One way of bypassing this lack of information has been introduced as a "processing-independent assay," which simply quantifies 1 in vitro cleavage product that represents all secreted precursor molecules on a molar basis (31, 48, 92); for reviews see (93, 94).
2) C4d is the cleavage product of the activated complement component C4, which is activated and degraded as part of the antibody-mediated classic complement pathway.
In order to establish RNAi-mediated effects in vivo, 5'RACE has been established as a robust method for detecting the specific cleavage products of siRNA pharmacology in pre-clinical animal models (Soutschek et al.
Their test detected only the entire OC molecule and not the more stable cleavage product N-MID fragment.
Cleavage products are then detected by electrophoretic separation.
Hence, the chemical cleavage yields a fluorescent fragment at the 5' end, whereas the other cleavage product (3' end) is not detectable by CE-LIF.
The insulin-producing cells also secreted C-peptide, a cleavage product generated in islet cells during the secretion of insulin.
Most recently, he co-authored a paper detailing his work on the discovery of a proteolytic cleavage product of ACRP 30, that functions as a Fatty Acid Muscle Oxidation Inducer that causes weight loss in mice without affecting food intake.
a leading medical diagnostics/research company specializing in the development of monoclonal antibodies and diagnostic assays for cancer, infectious disease, and neurodegenerative disease, today announced the availability of a polyclonal antibody specific for sAPPbeta, a cleavage product of amyloid precursor protein.

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