different between basis vs theorem
basis
English
Etymology
From Latin basis, from Ancient Greek ????? (básis), from Proto-Indo-European *g?émtis, derived from Proto-Indo-European *g?em- (English come). Doublet of base.
Pronunciation
- (Received Pronunciation, General American) enPR: b??s?s, IPA(key): /?be?s?s/,
- Rhymes: -e?s?s
Noun
basis (plural bases or (rare) baseis or (nonstandard) basises)
- A physical base or foundation.
- 1695, William Congreve, To the King, on the taking of Namur, 1810, Samuel Johnson, Alexander Chalmers (biographies), The Works of the English Poets from Chaucer to Cowper, Volume 10, page 271,
- Beholding rocks from their firm basis rent;
Mountain on mountain thrown,
With threatening hurl, that shook th' aerial firmament!
- Beholding rocks from their firm basis rent;
- 1695, William Congreve, To the King, on the taking of Namur, 1810, Samuel Johnson, Alexander Chalmers (biographies), The Works of the English Poets from Chaucer to Cowper, Volume 10, page 271,
- A starting point, base or foundation for an argument or hypothesis.
- 2019, VOA Learning English (public domain)
- I wonder if the South Korean side has any basis that its smog is from China.
- 2019, VOA Learning English (public domain)
- 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)[1]
- 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.
- 2013, Daniel Taylor, Danny Welbeck leads England's rout of Moldova but hit by Ukraine ban (in The Guardian, 6 September 2013)[1]
- 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.
- (agriculture, trading) The difference between the cash price a dealer pays to a farmer for his produce and an agreed reference price, which is usually the futures price at which the given crop is trading at a commodity exchange.
- (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.
Synonyms
- (starting point for discussion): base
Derived terms
Translations
References
Anagrams
- absis, bassi, isbas
Catalan
Verb
basis
- second-person singular present subjunctive form of basar
Danish
Noun
basis
- (linear algebra) basis
Dutch
Etymology
Borrowed from Latin basis, from Ancient Greek ????? (básis). Doublet of base. Also a distant doublet of komst, via Proto-Indo-European *g???tis.
Pronunciation
- IPA(key): /?ba?.z?s/, /?ba?.z?s/
- Hyphenation: ba?sis
Noun
basis f (plural basissen or bases, diminutive basisje n)
- basis (principle, foundation, that which is elementary)
- base (lower portion, foundation)
- Obsolete form of base (“base, alkali”).
Derived terms
- basisarts
- basisbeurs
- basisdemocratie
- basisinkomen
- basisonderwijs
- basisschool
- machtsbasis
- thuisbasis
Related terms
- basaal
- base
Descendants
- ? Indonesian: basis
Finnish
Pronunciation
- IPA(key): /?b?sis/, [?b?s?is?]
- Rhymes: -?sis
- Syllabification: ba?sis
Noun
basis
- basis, base
Declension
Anagrams
- bassi
Indonesian
Etymology
From Dutch basis, from Latin basis, from Ancient Greek ????? (básis). Doublet of basa.
Pronunciation
- IPA(key): [?bas?s]
- Hyphenation: ba?sis
Noun
basis
- basis, base
- basis,
- (mathematics) in a vector space, a linearly independent set of vectors spanning the whole vector space.
- base,
- (geometry) the lowest side of a in a triangle or other polygon, or the lowest face of a cone, pyramid or other polyhedron laid flat.
- (military) permanent structure for housing military; headquarter.
Derived terms
Further reading
- “basis” in Kamus Besar Bahasa Indonesia (KBBI) Daring, Jakarta: Badan Pengembangan dan Pembinaan Bahasa, Kementerian Pendidikan dan Kebudayaan Republik Indonesia, 2016.
Latin
Etymology
From Ancient Greek ????? (básis, “foundation, base”).
Pronunciation
- (Classical) IPA(key): /?ba.sis/, [?bäs??s?]
- (Ecclesiastical) IPA(key): /?ba.sis/, [?b??s?is]
Noun
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.
Declension
Note that there are the alternative forms base?s for the genitive singular, base? for the ablative singular, basin for accusative singular, and baseis for the accusative plural.Third-declension noun (i-stem, accusative singular in -im, ablative singular in -?).
Synonyms
- (basis, foundation): r?d?x
- (pedestal, base): crep?d?
- (track, footprint): vest?gium
Derived terms
- basella
- basicula
- basil?ris
Related terms
- antibasis
Descendants
- English: base, basis
- French: base
- German: Basis f
- Italian: base
- Russian: ????? f (báza), ?????? m (bázis)
- Spanish: base
- Swedish: bas
References
- basis in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
- basis in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
- basis in Gaffiot, Félix (1934) Dictionnaire illustré Latin-Français, Hachette
Norwegian Bokmål
Etymology
From Ancient Greek ????? (básis)
Noun
basis m (definite singular basisen, indefinite plural basiser, definite plural basisene)
- basis
- base
Derived terms
- basisår
- verdensbasis
References
- “basis” in The Bokmål Dictionary.
Norwegian Nynorsk
Etymology
From Ancient Greek ????? (básis)
Noun
basis m (definite singular basisen, indefinite plural basisar, definite plural basisane)
- basis
- base
Derived terms
- basisår
References
- “basis” in The Nynorsk Dictionary.
basis From the web:
- what basis are igneous rocks classified
- what basis mean
- what basis are air masses classified
- what basis you are seeking admission
- what basis points means
- what basis is used to hire employees
- what basis is a chemical equation balanced
- whats basis
theorem
English
Etymology
From Middle French théorème, from Late Latin the?r?ma, from Ancient Greek ??????? (the?r?ma, “speculation, proposition to be proved”) (Euclid), from ?????? (the?ré?, “I look at, view, consider, examine”), from ?????? (the?rós, “spectator”), from ??? (théa, “a view”) + ???? (horá?, “I see, look”). See also theory, and theater.
Pronunciation
- (UK) IPA(key): /??i?.?.??m/
- (US) IPA(key): /?????.?m/
Noun
theorem (plural theorems)
- (mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.
- (mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true
- Fermat's Last Theorem was known thus long before it was proved in the 1990s.
- (logic) A syntactically correct expression that is deducible from the given axioms of a deductive system.
Synonyms
- (proven statement): lemma, proposition, statement
- (unproven statement): conjecture
- See also Thesaurus:statement
Hyponyms
Holonyms
- theory
Related terms
- theoretical
- theory
Translations
Verb
theorem (third-person singular simple present theorems, present participle theoreming, simple past and past participle theoremed)
- (transitive) To formulate into a theorem.
Further reading
- theorem in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
- theorem in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
- theorem at OneLook Dictionary Search
theorem From the web:
- what theorem proves triangles are congruent
- what theorem proves lines are parallel
- what theorems prove triangles similar
- what theorem can abdul
- what theorems accurately complete the proof
- what theorem proves supplementary angles
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