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Byproduct vs Coproduct - What's the difference?

byproduct | coproduct |

As nouns the difference between byproduct and coproduct

is that byproduct is a secondary or additional product; something produced, as in the course of a manufacture, in addition to the principal product while coproduct is any of multiple products that are produced at the same time, or by the same process.

byproduct

English

(by-product)

Alternative forms

* by-product

Noun

(en noun)
  • A secondary or additional product; something produced, as in the course of a manufacture, in addition to the principal product.
  • coproduct

    English

    Noun

    (wikipedia coproduct) (en noun)
  • Any of multiple products that are produced at the same time, or by the same process
  • (mathematics) A structure constructed from several similar structures, equipped with appropriate of groups
  • Considering the set of 15 axioms given in the "Predicate Calculus" article of the Encyclopedia of Mathematics, axioms 12 and 14 may be construed as stating that \forall x \phi is the categorical product of all of the instantiations \phi (x , t) of φ''. Likewise, dually, axioms 13 and 15 may be construed as stating that \exists x \phi is the categorical coproduct of all of the instantiations of ''φ . (Axiom 12 would give the projection morphisms, Axiom 13 the inclusion morphisms, and Axioms 14 and 15 the universal properties.)