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Get to know Semidirect better with 10+ real example sentences, the meaning.

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Semidirect in a sentence

Semidirect meaning

  1. Neither unqualifiedly direct nor unqualifiedly indirect.
  2. That has the nature of, or has a nature that derives from or is analogous to, a semidirect product.

Using Semidirect

  • The main meaning on this page is: Neither unqualifiedly direct nor unqualifiedly indirect. | That has the nature of, or has a nature that derives from or is analogous to, a semidirect product.
  • In the example corpus, semidirect often appears in combinations such as: semidirect product, semidirect products, is semidirect.

Context around Semidirect

  • Average sentence length in these examples: 20.4 words
  • Position in the sentence: 1 start, 8 middle, 1 end
  • Sentence types: 10 statements, 0 questions, 0 exclamations

Often before:

outer 1×

Often after:

product 6× products 4× sum 1×

Sentence patterns with Semidirect

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

is a semidirect product of 2× and outer semidirect products and 1× as a semidirect sum of 1× case for semidirect products as 1× denotes a semidirect product where 1× existence of semidirect products reflects 1× is a semidirect product then 1× of the semidirect product 1×

Sentence openings and endings

Common sentence openings:

a lie algebra 1× as with direct 1× g h denotes 1× if a given 1× in this case 1× levi s theorem 1×

Common sentence endings:

a canonical way 1× a direct product 1× as semidirect products 1× decomposition is unique 1× groups are noted 1× play different roles 1×

Words around Semidirect

Just before it in the word index:

semidetached 3 semidesert 4 semidefinite 6 semiconductors 242 semiconductor 792 semiconductive 2

Just after it in the word index:

semiditone 2 semidocumentary 2 semidouble 4 semien 23 semiferal 2 semifinal 585

Similar in corpus frequency:

aab 13 aamer 13 aave 13 abdelmadjid 13 abdulkarim 13 abdulsalami 13

Corpus analysis for Semidirect

  • In this selection, "semidirect" usually appears in the middle of the sentence. The average example has 20.4 words, and this corpus slice is mostly made up of statements.
  • Around the word, outer, product, products and sum stand out and add context to how "semidirect" is used.
  • Recognizable usage signals include is a semidirect product of and and outer semidirect products and. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "semidirect" sits close to words such as aab, aamer and aave, which helps place it inside the broader word index.

Example types with semidirect

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 direct product is a special case of the semidirect product. (11 words)

In this case, the splitting lemma shows that every semidirect product is a direct product. (15 words)

This is not the case for semidirect products, as the two factors play different roles. (15 words)

Longer example sentences

A Lie algebra is solvable if and only if Classification The Levi decomposition expresses an arbitrary Lie algebra as a semidirect sum of its solvable radical and a semisimple Lie algebra, almost in a canonical way. (36 words)

G ⋊ H denotes a semidirect product where H acts on G; this may also depend on the choice of action of H on G Abelian and simple groups are noted. (30 words)

As with direct products, there is a natural equivalence between inner and outer semidirect products, and both are commonly referred to simply as semidirect products. (25 words)

Example sentences (10)

As with direct products, there is a natural equivalence between inner and outer semidirect products, and both are commonly referred to simply as semidirect products.

A Lie algebra is solvable if and only if Classification The Levi decomposition expresses an arbitrary Lie algebra as a semidirect sum of its solvable radical and a semisimple Lie algebra, almost in a canonical way.

G ⋊ H denotes a semidirect product where H acts on G; this may also depend on the choice of action of H on G Abelian and simple groups are noted.

If a given group is a semidirect product, then there is no guarantee that this decomposition is unique.

In this case, the splitting lemma shows that every semidirect product is a direct product.

Levi's theorem says that a finite-dimensional Lie algebra is a semidirect product of its radical and the complementary subalgebra ( Levi subalgebra ).

The direct product is a special case of the semidirect product.

The full group is a semidirect product of those two subgroups in the sense given earlier.

This is not the case for semidirect products, as the two factors play different roles.

Thus the existence of semidirect products reflects a failure of the category to be abelian.

Common combinations with semidirect

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "semidirect" in a sentence?
An example: "As with direct products, there is a natural equivalence between inner and outer semidirect products, and both are commonly referred to simply as semidirect products." This page contains 10+ example sentences with the word "semidirect" from authentic English texts.
What does "semidirect" mean?
Semidirect means: Neither unqualifiedly direct nor unqualifiedly indirect.
How many example sentences with "semidirect" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "semidirect", drawn from a database of millions of English sentences.