Random word

Explore Multilinear through 7 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.

Rare word

Multilinear in a sentence

Multilinear meaning

  1. Having many lines.
  2. Having many linear aspects.
  3. That is linear in each variable separately.

Using Multilinear

  • The main meaning on this page is: Having many lines. | Having many linear aspects. | That is linear in each variable separately.
  • In the example corpus, multilinear often appears in combinations such as: multilinear maps, as multilinear.

Context around Multilinear

  • Average sentence length in these examples: 22.9 words
  • Position in the sentence: 1 start, 3 middle, 3 end
  • Sentence types: 7 statements, 0 questions, 0 exclamations

Often before:

viewing 1× example 1× alternating 1×

Often after:

maps 5× map 1× array 1× alternating 1×

Sentence patterns with Multilinear

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

as alternating multilinear maps on 1× defined as multilinear maps 1× described as multilinear maps the 1× for example multilinear maps which 1× in the multilinear array definition 1× motivates viewing multilinear maps as 1× of some multilinear map t 1× property of multilinear alternating maps 1×

Sentence openings and endings

Common sentence openings:

however it may 1× moreover such an 1× moreover the universal 1× this follows from 1× when described as 1×

Common sentence endings:

all its arguments 1× as multilinear maps 1× k tangent vectors 1× multilinear alternating maps 1× multilinear array definition 1× objects underlying tensors 1×

Words around Multilinear

Just before it in the word index:

multiline 2 multilevel 20 multilayered 29 multilayer 12 multilaterism 2 multilateration 5

Just after it in the word index:

multilingual 99 multilingualism 7 multilink 9 multimarket 3 multimate 12 multimatic 4

Similar in corpus frequency:

aaba 10 aafc 10 aaib 10 aalbers 10 abbate 10 abbesses 10

Corpus analysis for Multilinear

  • In this selection, "multilinear" usually appears in the middle of the sentence. The average example has 22.9 words, and this corpus slice is mostly made up of statements.
  • Around the word, viewing, example, alternating, maps, map and array stand out and add context to how "multilinear" is used.
  • Recognizable usage signals include as alternating multilinear maps on and defined as multilinear maps. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "multilinear" sits close to words such as aaba, aafc and aaib, which helps place it inside the broader word index.

Example types with multilinear

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

They can be thought of as alternating, multilinear maps on k tangent vectors. (13 words)

This follows from properties 7 and 9 (it is a general property of multilinear alternating maps). (16 words)

But, because T is linear in all of its arguments, the components satisfy the tensor transformation law used in the multilinear array definition. (23 words)

Longer example sentences

However, it may be convenient for notation to consider n-ary functions, as for example multilinear maps (which are not linear maps on the product space, if n≠1). (29 words)

When described as multilinear maps, the tensor product simply multiplies the two tensors, i.e. : which again produces a map that is linear in all its arguments. (27 words)

Moreover, such an array can be realized as the components of some multilinear map T. This motivates viewing multilinear maps as the intrinsic objects underlying tensors. (26 words)

Example sentences (7)

Moreover, such an array can be realized as the components of some multilinear map T. This motivates viewing multilinear maps as the intrinsic objects underlying tensors.

But, because T is linear in all of its arguments, the components satisfy the tensor transformation law used in the multilinear array definition.

However, it may be convenient for notation to consider n-ary functions, as for example multilinear maps (which are not linear maps on the product space, if n≠1).

Moreover, the universal property of the tensor product gives a 1 -to- 1 correspondence between tensors defined in this way and tensors defined as multilinear maps.

They can be thought of as alternating, multilinear maps on k tangent vectors.

This follows from properties 7 and 9 (it is a general property of multilinear alternating maps).

When described as multilinear maps, the tensor product simply multiplies the two tensors, i.e. : which again produces a map that is linear in all its arguments.

Common combinations with multilinear

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "multilinear" in a sentence?
An example: "Moreover, such an array can be realized as the components of some multilinear map T. This motivates viewing multilinear maps as the intrinsic objects underlying tensors." This page contains 7 example sentences with the word "multilinear" from authentic English texts.
What does "multilinear" mean?
Multilinear means: Having many lines.
How many example sentences with "multilinear" are there?
Voorbeeldzinnen.info contains 7 example sentences with "multilinear", drawn from a database of millions of English sentences.