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On this page you'll find 6 example sentences with Nondegenerate. Discover the meaning, how to use the word correctly in a sentence.

Rare word

Nondegenerate in a sentence

Nondegenerate meaning

Not degenerate.

Using Nondegenerate

  • The main meaning on this page is: Not degenerate.
  • In the example corpus, nondegenerate often appears in combinations such as: the nondegenerate.

Context around Nondegenerate

  • Average sentence length in these examples: 26.7 words
  • Position in the sentence: 0 start, 2 middle, 4 end
  • Sentence types: 6 statements, 0 questions, 0 exclamations

Often after:

bilinear 1× lump 1× subspace 1× block 1× geometric 1×

Sentence patterns with Nondegenerate

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

become a nondegenerate lump of 1× e a nondegenerate 2 form 1× in the nondegenerate block and 1× of the nondegenerate subspace are 1× treat only nondegenerate geometric algebras 1× with a nondegenerate bilinear form 1×

Sentence openings and endings

Common sentence openings:

an almost symplectic 1× if protons do 1× if the new 1× more generally if 1× unless otherwise stated 1×

Common sentence endings:

finally disappears completely 1× nondegenerate bilinear form 1× nondegenerate geometric algebras 1× the degenerate dimensions 1× the symplectic form 1×

Words around Nondegenerate

Just before it in the word index:

nondeclarative 3 nonde 2 nondairy 7 nonda 2 noncustodial 2 noncrystalline 4

Just after it in the word index:

nondegree 2 nondemocratic 4 nondenominational 13 nondepository 5 nondescript 61 nondestructive 7

Similar in corpus frequency:

aaas 8 aacc 8 aacs 8 aafes 8 aankh 8 aapp 8

Corpus analysis for Nondegenerate

  • In this selection, "nondegenerate" usually appears near the end of the sentence. The average example has 26.7 words, and this corpus slice is mostly made up of statements.
  • Around the word, bilinear, lump and subspace stand out and add context to how "nondegenerate" is used.
  • Recognizable usage signals include become a nondegenerate lump of and e a nondegenerate 2 form. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "nondegenerate" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.

Example types with nondegenerate

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

Unless otherwise stated, this article will treat only nondegenerate geometric algebras. (11 words)

As above, we let (V, g) be an n -dimensional complex vector space equipped with a nondegenerate bilinear form. (19 words)

If the new vectors of the nondegenerate subspace are normalized according to : then these normalized vectors must square to +1 or −1. (22 words)

Longer example sentences

More generally, if a degenerate geometric algebra is allowed, then the orthogonal matrix is replaced by a block matrix that is orthogonal in the nondegenerate block, and the diagonal matrix has zero-valued entries along the degenerate dimensions. (38 words)

If protons do decay, the mass of a white dwarf will decrease very slowly with time as its nuclei decay, until it loses enough mass to become a nondegenerate lump of matter, and finally disappears completely. (36 words)

An almost symplectic manifold is a differentiable manifold equipped with a smoothly varying non-degenerate skew-symmetric bilinear form on each tangent space, i.e., a nondegenerate 2- form ω, called the symplectic form. (34 words)

Example sentences (6)

An almost symplectic manifold is a differentiable manifold equipped with a smoothly varying non-degenerate skew-symmetric bilinear form on each tangent space, i.e., a nondegenerate 2- form ω, called the symplectic form.

As above, we let (V, g) be an n -dimensional complex vector space equipped with a nondegenerate bilinear form.

If protons do decay, the mass of a white dwarf will decrease very slowly with time as its nuclei decay, until it loses enough mass to become a nondegenerate lump of matter, and finally disappears completely.

If the new vectors of the nondegenerate subspace are normalized according to : then these normalized vectors must square to +1 or −1.

More generally, if a degenerate geometric algebra is allowed, then the orthogonal matrix is replaced by a block matrix that is orthogonal in the nondegenerate block, and the diagonal matrix has zero-valued entries along the degenerate dimensions.

Unless otherwise stated, this article will treat only nondegenerate geometric algebras.

Common combinations with nondegenerate

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "nondegenerate" in a sentence?
An example: "An almost symplectic manifold is a differentiable manifold equipped with a smoothly varying non-degenerate skew-symmetric bilinear form on each tangent space, i.e., a nondegenerate 2- form ω, called the symplectic form." This page contains 6 example sentences with the word "nondegenerate" from authentic English texts.
What does "nondegenerate" mean?
Nondegenerate means: Not degenerate.
How many example sentences with "nondegenerate" are there?
Voorbeeldzinnen.info contains 6 example sentences with "nondegenerate", drawn from a database of millions of English sentences.