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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
Floor 
Floor[x]
gives the greatest integer less than or equal to x.
Floor[x, a]
gives the greatest multiple of a less than or equal to x.
DetailsDetails
- Mathematical function, suitable for both symbolic and numerical manipulation.
- Floor[x] can be entered in StandardForm and InputForm as
x
, EsclfEsc
EscrfEsc, or
. - Floor[x] returns an integer when
is any numeric quantity, whether or not it is an explicit number. » - For exact numeric quantities, Floor internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.
- Floor applies separately to real and imaginary parts of complex numbers.
- Floor automatically threads over lists.
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