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Get to know Parallelotope better with 7 real example sentences, the meaning.

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Parallelotope in a sentence

Parallelotope meaning

A generalization of parallelogram and parallelepiped into a figure of arbitrary dimensionality.

Using Parallelotope

  • The main meaning on this page is: A generalization of parallelogram and parallelepiped into a figure of arbitrary dimensionality.

Context around Parallelotope

  • Average sentence length in these examples: 19.6 words
  • Position in the sentence: 1 start, 4 middle, 2 end
  • Sentence types: 7 statements, 0 questions, 0 exclamations

Corpus analysis for Parallelotope

  • In this selection, "parallelotope" usually appears in the middle of the sentence. The average example has 19.6 words, and this corpus slice is mostly made up of statements.
  • Around the word, dimensional, general, spanned, unchanged and intersect stand out and add context to how "parallelotope" is used.
  • Recognizable usage signals include a general parallelotope except the and an n parallelotope intersect at. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "parallelotope" sits close to words such as aad, aadhar and aaro, which helps place it inside the broader word index.

Example types with parallelotope

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Inversion in this point leaves the n-parallelotope unchanged. (9 words)

It could be any shape, although the volume equals that of the parallelotope. (13 words)

Specifically in n-dimensional space it is called n-dimensional parallelotope, or simply n-parallelotope. (15 words)

Hypervolume of an n-parallelotope spanned by n vectors For vectors and spanning a parallelogram we have : with the result that is linear in the product of the "altitude" and the "base" of the parallelogram, that is, its area. (39 words)

Similarly, the volume of any n- simplex that shares n converging edges of a parallelotope has a volume equal to one 1/ n! of the volume of that parallelotope. (29 words)

The diagonals of an n-parallelotope intersect at one point and are bisected by this point. (16 words)

Example sentences (7)

Similarly, the volume of any n- simplex that shares n converging edges of a parallelotope has a volume equal to one 1/ n! of the volume of that parallelotope.

Specifically in n-dimensional space it is called n-dimensional parallelotope, or simply n-parallelotope.

Hypervolume of an n-parallelotope spanned by n vectors For vectors and spanning a parallelogram we have : with the result that is linear in the product of the "altitude" and the "base" of the parallelogram, that is, its area.

Inversion in this point leaves the n-parallelotope unchanged.

It could be any shape, although the volume equals that of the parallelotope.

The diagonals of an n-parallelotope intersect at one point and are bisected by this point.

The same arguments are also valid for a general parallelotope, except the isometry between the simplexes.

Frequently asked questions

How do you use "parallelotope" in a sentence?
An example: "Similarly, the volume of any n- simplex that shares n converging edges of a parallelotope has a volume equal to one 1/ n! of the volume of that parallelotope." This page contains 7 example sentences with the word "parallelotope" from authentic English texts.
What does "parallelotope" mean?
Parallelotope means: A generalization of parallelogram and parallelepiped into a figure of arbitrary dimensionality.
How many example sentences with "parallelotope" are there?
Voorbeeldzinnen.info contains 7 example sentences with "parallelotope", drawn from a database of millions of English sentences.