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Basis vs Subspace - What's the difference?

basis | subspace |

As nouns the difference between basis and subspace

is that basis is basis while subspace is (mathematics) a subset of a space which is a space in its own right or subspace can be (bdsm) the psychological state of the submissive or "bottom" during sadomasochistic activity.

basis

English

Noun

(en-noun)
  • A starting point, base or foundation for an argument or hypothesis.
  • An underlying condition or circumstance.
  • * 2013 , Daniel Taylor, Danny Welbeck leads England's rout of Moldova but hit by Ukraine ban'' (in ''The Guardian , 6 September 2013)[http://www.theguardian.com/football/2013/sep/06/england-moldova-world-cup-qualifier-matchreport]
    • Hodgson may now have to bring in James Milner on the left and, on that basis , a certain amount of gloss was taken off a night on which Welbeck scored twice but barely celebrated either before leaving the pitch angrily complaining to the Slovakian referee.
  • regular frequency
    • You should brush your teeth on a daily basis at minimum.
    The flights to Fiji leave on a weekly basis .
    Cars must be checked on a yearly basis .
  • (linear algebra) In a vector space, a linearly independent set of vectors spanning the whole vector space.
  • (accounting) Amount paid for an investment, including commissions and other expenses.
  • (topology) A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.

    • Usage notes

    * The construction "on a daily/weekly/etc. basis" is usually an unnecessarily-wordy substitute for simply "daily/weekly/etc."

    Derived terms

    * basis point (4) * tax basis * fare basis * cost basis * basic

    Synonyms

    * (starting point for discussion) base

    References

    Anagrams

    * * English nouns with irregular plurals ----

    subspace

    English

    Etymology 1

    Noun

    (en noun)
  • (mathematics) A subset of a space which is a space in its own right.
  • (science fiction) Any (often unspecified) method of communicating faster than light.

    • Etymology 2

    (in sense of (submissive)), punning on the other etymology from (sub-).

    Noun

    (-)
  • (BDSM) The psychological state of the submissive or "bottom" during sadomasochistic activity.
  • * 2000 , Gloria G Brame, Come hither: a commonsense guide to kinky sex?
    • My problem, though, is that when he whips me, I resist going into subspace . He has to whip me for fifteen or twenty minutes before I even begin to feel any psychological effects.
  • * 2003 , Chelsea Shepard, Two Moons: Worthy of a Master Book One
    • When he was far gone into subspace , pain was enough to make him come.

    Coordinate terms

    * topspace