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In programming languages and type theory, a product of types is another, compounded, type in a structure. The "operands" of the product are types, and the structure of a product type is determined by the fixed order of the operands in the product.

In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the Cartesian product of sets, the direct product of groups or rings, and the product of topological spaces. Essentially, the product of a family of objects is the "most general" object which admits a morphism to each of the given objects.

Products are the species formed from chemical reactions. During a chemical reaction reactants are transformed into products after passing through a high energy transition state.

Product (category theory)

In category theory, the **product** of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the Cartesian product of sets, the direct product of groups or rings, and the product of topological spaces. Essentially, the product of a family of objects is the "most general" object which admits a morphism to each of the given objects.

Examples of use of product types

1. According to information compiled by the Anatolia news agency, Turkey‘s exports are limited to certain industries and product types and the relationship lacks some reciprocity.

2. "The solicitation will be broad enough to accommodate a wide variety of product types, including national and regional vendors," Springer wrote.

3. It currently employs about half that number, and Moore said it has about 15 people, out of a total field investigative staff of less than '0, to visit ports of entry to inspect the more than 15,000 product types under its jurisdiction.