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When referring to applying g(x) to f(x), the function composition is denoted as (f\:\circ\:g)(x),\:or\:f(g(x)). Functions. A function basically relates an input to an output, thereâs an input, a relationship and an output. For every input there is only one output.
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.