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Webster 1913 Edition


Basis

Ba′sis

(bā′sĭs)
,
Noun.
;
pl.
Bases
(bā′sēz)
.
[L.
basis
, Gr.
βάσις
. See
Base
,
Noun.
]
1.
The foundation of anything; that on which a thing rests.
Dryden.
2.
The pedestal of a column, pillar, or statue.
[Obs.]
If no
basis
bear my rising name.
Pope.
3.
The groundwork; the first or fundamental principle; that which supports.
The
basis
of public credit is good faith.
A. Hamilton.
4.
The principal component part of a thing.

Webster 1828 Edition


Basis

BA'SIS

,
Noun.
plu.bases. [L.and Gr.; the same as base, which see.]
1.
The foundation of any thing; that on which a thing stands or lies; the bottom or foot of the thing itself, or that on which it rests. See a full explanation under base.
2.
The ground work or first principle; that which supports.
3.
Foundation; support.
The basis of public credit is good faith.
The basis of all excellence is truth.
4.
Basis, in chimistry. See Base. No. 12.

Definition 2024


Basis

Basis

See also: basis

German

Noun

Basis f (genitive Basis, plural Basen)

  1. basis (foundation, principle)
  2. (military) base
  3. (mathematics) basis

Synonyms

Derived terms

  • Orthonormalbasis
  • Vektorraumbasis

Related terms

basis

basis

See also: Basis

English

Noun

basis (plural bases)

  1. A starting point, base or foundation for an argument or hypothesis.
  2. 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)
      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.
  3. A 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.
  4. (linear algebra) In a vector space, a linearly independent set of vectors spanning the whole vector space.
  5. (accounting) Amount paid for an investment, including commissions and other expenses.
  6. (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.
    The collection of all possible unions of basis elements of a basis is said to be the topology generated by that basis.

Usage notes

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

Derived terms

Synonyms

  • (starting point for discussion): base

Translations

References

  1. 1 2 basis” listed in the Oxford English Dictionary [2nd Ed.; 1989]

Anagrams


Dutch

Pronunciation

Noun

basis f (plural basissen or bases, diminutive basisje n)

  1. basis
  2. base

Derived terms


Latin

Etymology

From Ancient Greek βάσις (básis, foundation, base).

Pronunciation

  • (Classical) IPA(key): /ˈba.sis/, [ˈba.sɪs]

Noun

basis f (genitive basis); third declension

  1. A pedestal, foot, base; basis, foundation.
  2. (architecture) The lowest part of the shaft of a column.
  3. (grammar) The primitive word, root.
  4. (of cattle) A track, footprint.

Inflection

Note that there are the alternative forms baseos for the genitive singular basis, baseī for the ablative singular, basin for accusative singular (botanical Latin), and baseis for the accusative plural. Third declension, alternative accusative singular in -im, alternative ablative singular in and accusative plural in -īs.

Case Singular Plural
nominative basis basēs
genitive basis basium
dative basī basibus
accusative basem
basim
basēs
basīs
ablative base
basī
basibus
vocative basis basēs

Synonyms

Derived terms

  • basella
  • basicula
  • basilāris

Related terms

  • antibasis

Descendants

References


Norwegian Bokmål

Etymology

From Ancient Greek βάσις (básis)

Noun

basis m (definite singular basisen, indefinite plural basiser, definite plural basisene)

  1. basis
  2. base

Derived terms

References


Norwegian Nynorsk

Etymology

From Ancient Greek βάσις (básis)

Noun

basis m (definite singular basisen, indefinite plural basisar, definite plural basisane)

  1. basis
  2. base

Derived terms

References