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On this page you'll find 10+ example sentences with Factorizations. Discover the meaning, how to use the word correctly in a sentence.

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Factorizations in a sentence

Related words

Factorizations | Factorization

Factorizations meaning

plural of factorization

Using Factorizations

  • The main meaning on this page is: plural of factorization
  • In the example corpus, factorizations often appears in combinations such as: of factorizations, prime factorizations.

Context around Factorizations

  • Average sentence length in these examples: 19.9 words
  • Position in the sentence: 3 start, 4 middle, 4 end
  • Sentence types: 11 statements, 0 questions, 0 exclamations

Often before:

prime 3× two 1× rsa 1× properties 1×

Often after:

may 1× hence 1× carmichael 1× add 1× provide 1×

Sentence patterns with Factorizations

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

admits other factorizations may be 1× different prime factorizations 1× existence of factorizations i 1× multiple prime factorizations hence all 1× of prime factorizations 1× properties factorizations carmichael numbers 1× recovering rsa factorizations over a 1× seen as factorizations of the 1×

Sentence openings and endings

Common sentence openings:

a polynomial that 1× as a result 1× dudley 1978 section 1× in 2003 boneh 1× in the same 1× properties factorizations carmichael 1×

Common sentence endings:

common perfect matching 1× different numerical properties 1× different prime factorizations 1× error detection power 1× network connection e 1× of factorizations i 1×

Words around Factorizations

Just before it in the word index:

factorization 40 factoring 129 factories 1.028 factorials 7 factorial 29 factored 177

Just after it in the word index:

factorized 3 factorizing 2 factors 6.089 factory 2.917 factotum 5 factotums 2

Similar in corpus frequency:

aami 15 aat 15 abada 15 abcs 15 abdulkareem 15 abha 15

Corpus analysis for Factorizations

  • In this selection, "factorizations" usually appears in the middle of the sentence. The average example has 19.9 words, and this corpus slice is mostly made up of statements.
  • Around the word, prime, two, rsa, may, hence and carmichael stand out and add context to how "factorizations" is used.
  • Recognizable usage signals include admits other factorizations may be and different prime factorizations. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "factorizations" sits close to words such as aami, aat and abada, which helps place it inside the broader word index.

Example types with factorizations

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

Properties Factorizations Carmichael numbers have at least three positive prime factors. (11 words)

With respect to general principal ideal domains, the existence of factorizations (i. (12 words)

The set of vertices and the set of factorizations provide one block each. (13 words)

Longer example sentences

Take the set of vertices and replace the two vertices corresponding to an edge of the common perfect matching with the labels corresponding to the factorizations; add that to the set of blocks. (33 words)

Similarly take the set of factorizations and replace the labels corresponding to the two factorizations with the end points of an edge in the common perfect matching. (27 words)

A polynomial that admits other factorizations may be chosen then so as to balance the maximal total blocklength with a desired error detection power. (24 words)

Example sentences (11)

Similarly take the set of factorizations and replace the labels corresponding to the two factorizations with the end points of an edge in the common perfect matching.

A polynomial that admits other factorizations may be chosen then so as to balance the maximal total blocklength with a desired error detection power.

As a result, there is no smallest positive integer with multiple prime factorizations, hence all positive integers greater than 1 factor uniquely into primes.

Dudley 1978, Section 2, Lemma 5 It is used in some proofs of the uniqueness of prime factorizations.

In 2003, Boneh and Brumley demonstrated a more practical attack capable of recovering RSA factorizations over a network connection (e.

In the same way, all realizations may be seen as "factorizations" of the same transfer function, but different realizations will have different numerical properties.

Properties Factorizations Carmichael numbers have at least three positive prime factors.

Take the set of vertices and replace the two vertices corresponding to an edge of the common perfect matching with the labels corresponding to the factorizations; add that to the set of blocks.

The set of vertices and the set of factorizations provide one block each.

This contradiction shows that s does not actually have two different prime factorizations.

With respect to general principal ideal domains, the existence of factorizations (i.

Common combinations with factorizations

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "factorizations" in a sentence?
An example: "Similarly take the set of factorizations and replace the labels corresponding to the two factorizations with the end points of an edge in the common perfect matching." This page contains 10+ example sentences with the word "factorizations" from authentic English texts.
What does "factorizations" mean?
Factorizations means: plural of factorization
How many example sentences with "factorizations" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "factorizations", drawn from a database of millions of English sentences.