Random word

Biproducts is an English word. Below you'll find 4 example sentences showing how it's used in practice.

Rare word

Biproducts in a sentence

Related words

Biproducts | Biproduct

Biproducts meaning

plural of biproduct

Using Biproducts

  • The main meaning on this page is: plural of biproduct
  • In the example corpus, biproducts often appears in combinations such as: biproducts exist.

Context around Biproducts

  • Average sentence length in these examples: 16 words
  • Position in the sentence: 1 start, 1 middle, 2 end
  • Sentence types: 4 statements, 0 questions, 0 exclamations

Often before:

upon 1× infinite 1× generally 1× finite 1×

Often after:

exist 2×

Sentence patterns with Biproducts

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

ab infinite biproducts do not 1× all finite biproducts exist 1× more generally biproducts exist in 1× relies upon biproducts in categories 1×

Sentence openings and endings

Common sentence openings:

block matrix algebra 1× however although infinite 1× more generally biproducts 1× properties if the 1×

Common sentence endings:

categories of matrices 1× finite biproducts exist 1× not make sense 1× over a ring 1×

Words around Biproducts

Just before it in the word index:

biproduct 4 bipole 3 bipolarity 4 bipolarism 2 bipolar 286 bipods 2

Just after it in the word index:

bips 2 bipyramid 5 bipyramids 8 bipyridine 2 biqa 4 biquadratic 3

Similar in corpus frequency:

aaai 6 aani 6 aarne 6 aarya 6 aasb 6 aasen 6

Corpus analysis for Biproducts

  • In this selection, "biproducts" usually appears near the end of the sentence. The average example has 16 words, and this corpus slice is mostly made up of statements.
  • Around the word, upon, infinite, generally and exist stand out and add context to how "biproducts" is used.
  • Recognizable usage signals include ab infinite biproducts do not and all finite biproducts exist. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "biproducts" sits close to words such as aaai, aani and aarne, which helps place it inside the broader word index.

Example types with biproducts

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

Block matrix algebra relies upon biproducts in categories of matrices. (10 words)

More generally, biproducts exist in the category of modules over a ring. (12 words)

However, although infinite direct sums make sense in some categories, like Ab, infinite biproducts do not make sense. (18 words)

Longer example sentences

Properties If the biproduct A ⊕ B exists for all pairs of objects A and B in the category C, then all finite biproducts exist. (24 words)

However, although infinite direct sums make sense in some categories, like Ab, infinite biproducts do not make sense. (18 words)

More generally, biproducts exist in the category of modules over a ring. (12 words)

Example sentences (4)

Block matrix algebra relies upon biproducts in categories of matrices.

However, although infinite direct sums make sense in some categories, like Ab, infinite biproducts do not make sense.

More generally, biproducts exist in the category of modules over a ring.

Properties If the biproduct A ⊕ B exists for all pairs of objects A and B in the category C, then all finite biproducts exist.

Common combinations with biproducts

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "biproducts" in a sentence?
An example: "Block matrix algebra relies upon biproducts in categories of matrices." This page contains 4 example sentences with the word "biproducts" from authentic English texts.
What does "biproducts" mean?
Biproducts means: plural of biproduct
How many example sentences with "biproducts" are there?
Voorbeeldzinnen.info contains 4 example sentences with "biproducts", drawn from a database of millions of English sentences.