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Coproduct is an English word. Below you'll find 5 example sentences showing how it's used in practice.

Rare word

Coproduct in a sentence

Related words

Coproduct | Coproduction | Coproducts

Coproduct meaning

  1. Any of multiple products that are produced at the same time, or by the same process
  2. The colimit of two (or more) objects, without regard to any morphisms between them.

Using Coproduct

  • The main meaning on this page is: Any of multiple products that are produced at the same time, or by the same process | The colimit of two (or more) objects, without regard to any morphisms between them.
  • In the example corpus, coproduct often appears in combinations such as: the coproduct, coproduct in.

Context around Coproduct

  • Average sentence length in these examples: 18.4 words
  • Position in the sentence: 0 start, 4 middle, 1 end
  • Sentence types: 5 statements, 0 questions, 0 exclamations

Often before:

based 1× empty 1×

Sentence patterns with Coproduct

These short patterns come directly from the example sentences and show how the word is often embedded:

also called coproduct and denoted 1× an empty coproduct or categorical 1× is the coproduct in the 1× obtain the coproduct in the 1× yeast based coproduct of bioethanol 1×

Sentence openings and endings

Common sentence openings:

a variant of 1× another possible alternative 1× dually an initial 1× in this case 1× the free product 1×

Common sentence endings:

of r algebras 1× or categorical sum 1× proteinaceous fermentation biomass 1× the additional structure 1× vectors are allowed 1×

Words around Coproduct

Just before it in the word index:

coproduced 3 coprodeum 4 coprocessors 9 coprocessor 28 coprime 25 copresident 2

Just after it in the word index:

coproduction 5 coproducts 3 coprolalia 2 coprolite 2 coprolites 3 coprophagy 2

Similar in corpus frequency:

aaas 7 aacc 7 aacs 7 aafes 7 aah 7 aankh 7

Corpus analysis for Coproduct

  • In this selection, "coproduct" usually appears in the middle of the sentence. The average example has 18.4 words, and this corpus slice is mostly made up of statements.
  • Around the word, based and empty stand out and add context to how "coproduct" is used.
  • Recognizable usage signals include also called coproduct and denoted and an empty coproduct or categorical. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "coproduct" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.

Example types with coproduct

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

The free product is the coproduct in the category of R-algebras. (12 words)

Another possible alternative is a yeast-based coproduct of bioethanol production, proteinaceous fermentation biomass. (14 words)

In this case, we obtain the coproduct in the appropriate category of all objects carrying the additional structure. (18 words)

Longer example sentences

A variant of this construction is the direct sum (also called coproduct and denoted ), where only tuples with finitely many nonzero vectors are allowed. (24 words)

Dually, an initial object is a colimit of the empty diagram ∅ → C and can be thought of as an empty coproduct or categorical sum. (24 words)

In this case, we obtain the coproduct in the appropriate category of all objects carrying the additional structure. (18 words)

Example sentences (5)

Another possible alternative is a yeast-based coproduct of bioethanol production, proteinaceous fermentation biomass.

A variant of this construction is the direct sum (also called coproduct and denoted ), where only tuples with finitely many nonzero vectors are allowed.

Dually, an initial object is a colimit of the empty diagram ∅ → C and can be thought of as an empty coproduct or categorical sum.

In this case, we obtain the coproduct in the appropriate category of all objects carrying the additional structure.

The free product is the coproduct in the category of R-algebras.

Common combinations with coproduct

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "coproduct" in a sentence?
An example: "Another possible alternative is a yeast-based coproduct of bioethanol production, proteinaceous fermentation biomass." This page contains 5 example sentences with the word "coproduct" from authentic English texts.
What does "coproduct" mean?
Coproduct means: Any of multiple products that are produced at the same time, or by the same process
How many example sentences with "coproduct" are there?
Voorbeeldzinnen.info contains 5 example sentences with "coproduct", drawn from a database of millions of English sentences.