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Floor ​

The greatest integer less than or equal to x: .

WikipediaFloor and ceiling functionsFloor functionMathWorldFloorFunctionWikidataQ56860783FungrimFloor✓Fungrim entryWolfram LanguageFloor✓
Floor(x)the greatest integer , .
SageMathfloor(x)SymPyfloor(x)mpmathfloor(x)

Domain: Arithmetic

Details
  • The greatest integer : .
  • Rounds toward , not toward 0 -- so , not .
  • For a non-integer x, . See Ceil.
  • .
  • Threads element-wise over a list.
  • compute-engine's Floor takes a single argument; only Round supports rounding to a given number of decimal places.

Examples

See also: Ceil, Round