# 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 ?
Dr Paul MacLeman, Managing Director and CEO of IDT Australia, said: I am pleased to say that IDT is now the registered owner of these US generic drug products.
We will also explore the needs of the end user and how decisions relating to material and sterilization method can have an effect on the patients' ability to administer the drug product.
Through a product development process that incorporates Quality by Design principles, NovaPure components, including serum and lyophilization stoppers and syringe plungers, will help to ensure the safety, efficacy and purity of injectable drug products.
Global Pharmatech's core business to date has been licensing its R&D patents and technologies for botanical/biological drug products. Global Pharmatech's operations are currently based in the People's Republic of China with sales distribution in China, Malaysia, Singapore and Indonesia.
"The intended acquisition of the sterile drug product fill and finish facility in Stein will be the latest phase in our step-wise expansion of parenteral drug product services," said Karen Fallen, head of mammalian and microbial development and manufacturing, Lonza Pharma & Biotech.
The Food and Drug Administration (FDA) has warned the public against the consumption of six unregistered drug products that might be harmful to one's health.
Under the terms of the strategic agreement, WuXi Biologics will be the exclusive commercial drug substance manufacturing partner as well as the key commercial drug product supplier for Amicus.
And looking past the enforcement date, much of the industry is still in need of education to meet the full drug product tracing goals.
'All health care professionals and the general public are hereby warned as to the availability of this counterfeit drug product in the market, which poses potential danger or injury to consumers,' the agency said.
Quotient Clinical offers services based on its Translational Pharmaceutics platform that integrate formulation development, real-time drug product manufacturing and clinical testing, significantly reducing the time and cost of bringing a drug to market.

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