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The greatest integer function shown below, is defined so that it produces the gretest integer__ or equal to x. f(x)=[ [x] ] Answers.
Ceiling Function. The function which gives the smallest integer, shown as the thick curve in the above plot. Schroeder (1991) calls the ceiling function symbols the  gallows  because of the similarity in appearance to the structure used for hangings.eiling Function. The function which gives the smallest integer, shown as the thick curve in the above plot. Schroeder (1991) calls the ceiling function symbols the  gallows  because of the similarity in appearance to the structure used for hangings.