(topology) The topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper.

plural of natural product

(chemistry, physics) The product of the individual solubilities of the cation and anion of a salt

plural of smash product

(mathematics) For two pointed spaces (i.e. topological spaces with distinguished basepoints) X and Y, the quotient of the product space X × Y under the identifications (x, y₀) ∼ (x₀, y) for all x ∈ X and y ∈ Y; usually denoted X ∧ Y.

plural of production line

(manufacturing) A set of sequential operations established in a factory whereby materials are put through a refining process or components are assembled to make a finished article.

(physics) The simultaneous creation of a particle and its antiparticle.

plural of tensor product

(mathematics) The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.