different between dimension vs hyperplane

English

Etymology

From Latin d?mensio, d?mensi?nis.

Pronunciation

• (Received Pronunciation) IPA^(key): /da??m?n??n/
• (General American) IPA^(key): /d??m?n??n/, /da??m?n??n/
• Rhymes: -?n??n

Noun

dimension (plural dimensions)

1. A single aspect of a given thing.

2. A measure of spatial extent in a particular direction, such as height, width or breadth, or depth.
3. A construct whereby objects or individuals can be distinguished.
4. (geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.
5. (linear algebra) The number of elements of any basis of a vector space.
6. (physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.

7. (computing) Any of the independent ranges of indices in a multidimensional array.
8. (science fiction, fantasy) A universe or plane of existence.

Synonyms

• (single aspect of a thing): aspect
• (measure of spatial extent): magnitude, proportion, size, scope
• (construct whereby objects or individuals can be distinguished): attribute, property

Derived terms

Related terms

• hyperdimension

Translations

Verb

dimension (third-person singular simple present dimensions, present participle dimensioning, simple past and past participle dimensioned)

1. (transitive) To mark, cut or shape something to specified dimensions.

Translations

Anagrams

• minisonde

Esperanto

Noun

dimension

1. accusative singular of dimensio

Finnish

Noun

dimension

1. genitive singular of dimensio

French

Etymology

Borrowed from Latin d?mensio, d?mensi?nem.

Pronunciation

• IPA^(key): /di.m??.sj??/

Noun

dimension f (plural dimensions)

1. dimension

Further reading

• “dimension” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

Anagrams

• mendiions
• ondinisme

Occitan

Etymology

From Latin d?mensio. Attested from the 14th century.

Pronunciation

Noun

dimension f (plural dimensions)

1. dimension

Related terms

• dimensional
• dimensionar

References

English

Etymology

hyper- +? plane

Noun

hyperplane (plural hyperplanes)

1. (geometry) An n-dimensional generalization of a plane; an affine subspace of dimension n ? 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)

Related terms

• hypersurface

Translations