basis (plural bases)
- 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)
- 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.
- 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.
- (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.
- The collection of all possible unions of basis elements of a basis is said to be the topology generated by that basis.
- The construction "on a daily/weekly/etc. basis" is usually an unnecessarily-wordy substitute for simply "daily/weekly/etc."
- (starting point for discussion): base
starting point for an argument
linearly independent set of vectors
amount paid for an investment
1 2 “basis” listed in the Oxford English Dictionary [2nd Ed.; 1989]
From Ancient Greek βάσις (básis, “foundation, base”).
basis f (genitive basis); third declension
- A pedestal, foot, base; basis, foundation.
- (architecture) The lowest part of the shaft of a column.
- (grammar) The primitive word, root.
- (of cattle) A track, footprint.
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 -ī and accusative plural in -īs.