
02364093
a
2005e.02389
Fung, David
Ligh, Steve
Trigonometric representation of $\lbrack$x$\rbrack$.
Bogacki, Przemyslaw (ed.), Proceedings of the 7th annual international conference on technology in collegiate mathematics, ICTCM 7, Orlando, FL, USA, November 1720, 1994. Norfolk, VA: Old Dominion University, Dept. of Mathematics and Statistics (ISBN 0201870207). Electronic paper (1994).
1994
Norfolk, VA: Old Dominion University, Dept. of Mathematics and Statistics
EN
I25
R25
greatest integer function
applications of mathematics to mathematics
trigonometric functions
proofs
computer algebra
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 steplike functions. (authors' abstract) (The paper is available under http://archives.math.utk.edu/ICTCM/abs/7FB17.html)