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Get to know Monoidal better with 5 real example sentences, the meaning.

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Monoidal in a sentence

Monoidal meaning

Of, pertaining to, or being a monoid.

Using Monoidal

  • The main meaning on this page is: Of, pertaining to, or being a monoid.
  • In the example corpus, monoidal often appears in combinations such as: monoidal category.

Context around Monoidal

  • Average sentence length in these examples: 26.4 words
  • Position in the sentence: 2 start, 2 middle, 1 end
  • Sentence types: 5 statements, 0 questions, 0 exclamations

Often before:

closed 1×

Often after:

category 4× categories 1×

Sentence patterns with Monoidal

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

as a monoidal category under 1× captured by monoidal categories that 1× is a monoidal category 1× is closed monoidal but so 1× is the monoidal category captures 1× precisely a monoidal category is 1×

Sentence openings and endings

Common sentence openings:

category theoretical description 1× more precisely a 1× the category of 1× the general concept 1×

Common sentence endings:

a monoidal category 1× a tensor product 1× bilinear transformation above 1× product of modules 1× way they do 1×

Words around Monoidal

Just before it in the word index:

monoid 47 monohydrate 4 monohulls 7 monohull 13 monographs 28 monographic 2

Just after it in the word index:

monoids 13 monoikos 2 monoisotopic 3 monokaryons 4 monokini 3 monokle 5

Similar in corpus frequency:

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

Corpus analysis for Monoidal

  • In this selection, "monoidal" usually appears near the start of the sentence. The average example has 26.4 words, and this corpus slice is mostly made up of statements.
  • Around the word, closed, category and categories stand out and add context to how "monoidal" is used.
  • Recognizable usage signals include as a monoidal category under and captured by monoidal categories that. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "monoidal" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.

Example types with monoidal

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

More precisely, a monoidal category is the class of all things (of a given type ) that have a tensor product. (20 words)

The category of sets is closed monoidal, but so is the category of vector spaces, giving the notion of bilinear transformation above. (22 words)

The general concept of a "tensor product" is captured by monoidal categories ; that is, the class of all things that have a tensor product is a monoidal category. (28 words)

Longer example sentences

Category theoretical description main Every ring can be thought of as a monoid in Ab, the category of abelian groups (thought of as a monoidal category under the tensor product of -modules ). (32 words)

That is, the monoidal category captures precisely the meaning of a tensor product; it captures exactly the notion of why it is that tensor products behave the way they do. (30 words)

The general concept of a "tensor product" is captured by monoidal categories ; that is, the class of all things that have a tensor product is a monoidal category. (28 words)

Example sentences (5)

The general concept of a "tensor product" is captured by monoidal categories ; that is, the class of all things that have a tensor product is a monoidal category.

Category theoretical description main Every ring can be thought of as a monoid in Ab, the category of abelian groups (thought of as a monoidal category under the tensor product of -modules ).

More precisely, a monoidal category is the class of all things (of a given type ) that have a tensor product.

That is, the monoidal category captures precisely the meaning of a tensor product; it captures exactly the notion of why it is that tensor products behave the way they do.

The category of sets is closed monoidal, but so is the category of vector spaces, giving the notion of bilinear transformation above.

Common combinations with monoidal

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "monoidal" in a sentence?
An example: "The general concept of a "tensor product" is captured by monoidal categories ; that is, the class of all things that have a tensor product is a monoidal category." This page contains 5 example sentences with the word "monoidal" from authentic English texts.
What does "monoidal" mean?
Monoidal means: Of, pertaining to, or being a monoid.
How many example sentences with "monoidal" are there?
Voorbeeldzinnen.info contains 5 example sentences with "monoidal", drawn from a database of millions of English sentences.