Random word

On this page you'll find 5 example sentences with Semidefinite. Discover the meaning, how to use the word correctly in a sentence.

Rare word

Semidefinite in a sentence

Semidefinite meaning

  1. Not entirely definite; somewhat vague or undefined.
  2. Describing a bilinear form, over a vector space, that is either always positive or always negative.

Using Semidefinite

  • The main meaning on this page is: Not entirely definite; somewhat vague or undefined. | Describing a bilinear form, over a vector space, that is either always positive or always negative.
  • In the example corpus, semidefinite often appears in combinations such as: positive semidefinite.

Context around Semidefinite

  • Average sentence length in these examples: 23 words
  • Position in the sentence: 2 start, 3 middle, 0 end
  • Sentence types: 5 statements, 0 questions, 0 exclamations

Often before:

positive 6× negative 2× definite 1×

Often after:

nor 1×

Sentence patterns with Semidefinite

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

is positive semidefinite if and 2× also positive semidefinite 1× are positive semidefinite then for 1× definite negative semidefinite or positive 1× definite positive semidefinite nor negative 1× negative definite semidefinite and indefinite 1× nor negative semidefinite is called 1× or positive semidefinite if and 1×

Sentence openings and endings

Common sentence openings:

a hermitian matrix 1× a matrix m 1× indefinite a hermitian 1× negative definite semidefinite 1×

Common sentence endings:

also positive semidefinite 1× is called indefinite 1× minors are nonnegative 1× non negative respectively 1× set of vectors 1×

Words around Semidefinite

Just before it in the word index:

semiconductors 242 semiconductor 792 semiconductive 2 semiconducting 32 semicon 3 semicolons 8

Just after it in the word index:

semidesert 4 semidetached 3 semidirect 10 semiditone 2 semidocumentary 2 semidouble 4

Similar in corpus frequency:

aaaaa 8 aage 8 aardvarks 8 abaca 8 abaji 8 abascal 8

Corpus analysis for Semidefinite

  • In this selection, "semidefinite" usually appears in the middle of the sentence. The average example has 23 words, and this corpus slice is mostly made up of statements.
  • Around the word, positive, negative, definite and nor stand out and add context to how "semidefinite" is used.
  • Recognizable usage signals include is positive semidefinite if and and also positive semidefinite. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "semidefinite" sits close to words such as aaaaa, aage and aardvarks, which helps place it inside the broader word index.

Example types with semidefinite

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

A Hermitian matrix is positive semidefinite if and only if all of its principal minors are nonnegative. (17 words)

Indefinite A Hermitian matrix which is neither positive definite, negative definite, positive-semidefinite, nor negative-semidefinite is called indefinite. (19 words)

A matrix M is positive-semidefinite if and only if it arises as the Gram matrix of some set of vectors. (21 words)

Longer example sentences

Negative-definite, semidefinite and indefinite matrices A Hermitian matrix is negative-definite, negative-semidefinite, or positive-semidefinite if and only if all of its eigenvalues are negative, non-positive, or non-negative, respectively. (33 words)

That is, if M and N are positive semidefinite, then for any α between 0 and 1, αM + (1−α)N is also positive semidefinite. (25 words)

A matrix M is positive-semidefinite if and only if it arises as the Gram matrix of some set of vectors. (21 words)

Example sentences (5)

Negative-definite, semidefinite and indefinite matrices A Hermitian matrix is negative-definite, negative-semidefinite, or positive-semidefinite if and only if all of its eigenvalues are negative, non-positive, or non-negative, respectively.

Indefinite A Hermitian matrix which is neither positive definite, negative definite, positive-semidefinite, nor negative-semidefinite is called indefinite.

That is, if M and N are positive semidefinite, then for any α between 0 and 1, αM + (1−α)N is also positive semidefinite.

A Hermitian matrix is positive semidefinite if and only if all of its principal minors are nonnegative.

A matrix M is positive-semidefinite if and only if it arises as the Gram matrix of some set of vectors.

Common combinations with semidefinite

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "semidefinite" in a sentence?
An example: "Negative-definite, semidefinite and indefinite matrices A Hermitian matrix is negative-definite, negative-semidefinite, or positive-semidefinite if and only if all of its eigenvalues are negative, non-positive, or non-negative, respectively." This page contains 5 example sentences with the word "semidefinite" from authentic English texts.
What does "semidefinite" mean?
Semidefinite means: Not entirely definite; somewhat vague or undefined.
How many example sentences with "semidefinite" are there?
Voorbeeldzinnen.info contains 5 example sentences with "semidefinite", drawn from a database of millions of English sentences.