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A substance formed as a result of a chemical reaction.

1. An item or goods made by an industrial firm.

2. The total of such items or goods.

1. For two integers, m and n, the number of objects in the set formed by combining m sets, each of which has n objects.

2. For two rational numbers, a /b and c /d, where a, b, c, and d are integers, the number (ac )/(bd ).

3. For any two real numbers, which are the limits of sequences of rational numbers p_n and q_n respectively, the limit of the sequence p_n q_n.

4. The product of two algebraic quantities is the result of their multiplication relative to an operation analogous to multiplication of real numbers.

5. The product of a collection of sets A₁,A₂, ..., A_n is the set of all elements of the form (a₁,a₂, ...,a_n ) where each a_i is an element of A_i for each i = 1, 2, ..., n.

6. For two transformations, the transformation that results from their successive application.

7. For two fuzzy sets A and B, with membership functions m_A and m_B, the fuzzy set whose membership function m_A·B satisfies the equationm_A·B (x ) = m_A (x ) · m_B(x ) for every element x.

8. 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 c_ij in row i and column j is the sum over k = 1, 2, . . . , n of the product of the elements a_ik in A and b_kj in B.