basis
Definition from Wiktionary, the free dictionary
Contents |
English [edit]
Etymology [edit]
From Latin basis, from Ancient Greek βάσις (basis).[1]
Pronunciation [edit]
Noun [edit]
basis (plural bases or (rare) baseis)
- A starting point, base or foundation for an argument or hypothesis.
- An underlying condition or circumstance.
- 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.
Usage notes [edit]
- The construction "on a daily/weekly/etc. basis" is usually an unnecessarily-wordy substitute for simply "daily/weekly/etc."
Derived terms [edit]
Synonyms [edit]
- (starting point for discussion): base
Translations [edit]
starting point for an argument
underlying condition
linearly independent set of vectors
what was paid for an investment
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Translations to be checked
References [edit]
Anagrams [edit]
Dutch [edit]
Pronunciation [edit]
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audio (file)
Noun [edit]
basis f (plural basissen or bases, diminutive basisje)
Derived terms [edit]
Latin [edit]
Etymology [edit]
From Ancient Greek βάσις (basis, “foundation, base”).
Noun [edit]
basis (genitive basis); f, 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.
Inflection [edit]
Note that there are the alternative forms baseos for the genitive singular basis, baseī for the ablative singular and baseis for the accusative plural.
| Number | Singular | Plural |
|---|---|---|
| nominative | basis | basēs |
| genitive | basis | basium |
| dative | basī | basibus |
| accusative | basim | basīs |
| ablative | basī | basibus |
| vocative | basis | basēs |
Synonyms [edit]
Derived terms [edit]
Related terms [edit]
Descendants [edit]
- English: base, basis
- French: base
- Italian: base
- Russian: ба́за (báza) f, ба́зис (bázis) m
- Spanish: base
References [edit]
- basis in Charlton T. Lewis & Charles Short, A Latin Dictionary, Oxford: Clarendon Press, 1879
