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Prove or disprove each of these statements about the floor and ceiling functions.

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User Fung
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Most symbols denote functions or operators. A monadic function takes as its argument the result of evaluating everything to its right. (Moderated in the usual way by parentheses.) A dyadic function has another argument, the first item of data on its left. Many symbols denote both monadic and dyadic functions, interpreted according to use.
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User Nima Ebrazeh
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