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Basis vs Formula - What's the difference?

basis | formula | Related terms |

As nouns the difference between basis and formula

is that basis is a starting point, base or foundation for an argument or hypothesis while formula is any mathematical rule expressed symbolically.

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

    formula

    English

    Noun

    (wikipedia formula)
  • (mathematics) Any mathematical rule expressed symbolically.
  • x = \frac {-b \pm \sqrt{b^2 - 4ac}}{2a} is a formula for finding the roots of the quadratic equation ax2 + bx + c = 0 .
  • (chemistry) A symbolic expression of the structure of a compound.
  • H2O is the formula for water (Dihydrogen monoxide)
  • a plan or method for dealing with a problem or for achieving a result
  • The company's winning formula includes excellent service and quality products.
  • A formulation; a prescription; a mixture or solution made in a prescribed manner; the identity and quantities of ingredients of such a mixture.
  • The formula of the rocket fuel has not been revealed.
  • Drink given to babies to substitute for mother's milk.
  • (logic) A syntactic expression of a proposition, built up from quantifiers, logical connectives, variables, relation and operation symbols, and, depending on the type of logic, possibly other operators such as modal, temporal, deontic or epistemic ones.
  • Synonyms

    * (in mathematics) mathematical formula * (in chemistry) chemical formula

    Hyponyms

    * (logic) sentence

    Derived terms

    * (l) * formulate * formulation * Formula One * formula racing * multiformula