@inbook {MATHEDUC.02364093,
author = {Fung, David and Ligh, Steve},
title = {Trigonometric representation of $\lbrack$x$\rbrack$.},
year = {1994},
booktitle = {Proceedings of the 7th annual international conference on technology in collegiate mathematics, ICTCM 7, Orlando, FL, USA, November 17--20, 1994},
isbn = {0-201-87020-7},
pages = {Electronic paper},
publisher = {Norfolk, VA: Old Dominion University, Dept. of Mathematics and Statistics},
abstract = {In the software DERIVE (version 2.07), the greatest integer function, $\lbrack$x$\rbrack$, when simplified, is given as $\lbrack$x$\rbrack$ = arctan(cot(pi*x))/pi + x - 1/2. The above equality can be proved by means of properties of trigonometric functions. Using other inverse trigonometric functions, we obtain several forms for $\lbrack$x$\rbrack$ as well as other step-like functions. (authors' abstract) (The paper is available under http://archives.math.utk.edu/ICTCM/abs/7-FB17.html)},
msc2010 = {I25xx (R25xx)},
identifier = {2005e.02389},
}