different between orthogonal vs hyperspace

English

Etymology

From French orthogonal, from Medieval Latin orthogonalis, from Latin orthogonius (“right-angled”).

Pronunciation

• (UK) IPA^(key): /???????n?l/
• (US) IPA^(key): /???????n?l/

Adjective

orthogonal (not comparable)

1. (geometry) Of two objects, at right angles; perpendicular to each other.

2. (mathematics)
   1. Of a pair of vectors: having a zero inner product; perpendicular.

   2. Of a square matrix: such that its transpose is equal to its inverse.
   3. Of a linear transformation: preserving its angles.
   4. Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
   5. Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.
3. (statistics) Statistically independent, with reference to variates.
4. (software engineering) Of two or more aspects of a problem, able to be treated separately.

5. Of two or more problems or subjects, independent of or irrelevant to each other.

Derived terms

• orthogonality
• orthogonals

Related terms

Translations

Noun

orthogonal (plural orthogonals)

1. An orthogonal line

See also

• uncorrelated

French

Etymology

From Medieval Latin orthogonalis, from Latin orthogonius (“right-angled”).

Pronunciation

• IPA^(key): /??.to.?o.nal/

Adjective

orthogonal (feminine singular orthogonale, masculine plural orthogonaux, feminine plural orthogonales)

1. orthogonal

Further reading

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

German

Etymology

From Medieval Latin orthogonalis, from Latin orthogonius (“right-angled”).

Pronunciation

• Rhymes: -a?l

Adjective

orthogonal (not comparable)

1. orthogonal

Declension

Synonyms

• senkrecht

English

Etymology

hyper- +? space

Noun

hyperspace (countable and uncountable, plural hyperspaces)

1. (mathematics) An n-dimensional Euclidian space with n > 3.
2. (mathematics) A Euclidian space of unspecified dimension.
3. (science fiction) A notional space orthogonal to the usual dimensions of space-time often used for faster-than-light travel.

Related terms

Translations

Verb

hyperspace (third-person singular simple present hyperspaces, present participle hyperspacing, simple past and past participle hyperspaced)

1. (science fiction, transitive, intransitive) To travel or transport into hyperspace.