=================================================================== RCS file: /home/cvs/OpenXM/doc/calc2000p/func1.tex,v retrieving revision 1.1 retrieving revision 1.2 diff -u -p -r1.1 -r1.2 --- OpenXM/doc/calc2000p/func1.tex 2000/07/21 07:11:52 1.1 +++ OpenXM/doc/calc2000p/func1.tex 2000/07/22 08:11:09 1.2 @@ -1,4 +1,4 @@ -% $OpenXM$ +% $OpenXM: OpenXM/doc/calc2000p/func1.tex,v 1.1 2000/07/21 07:11:52 noro Exp $ \documentclass[twocolumn]{article} \pagestyle{empty} %\markright{ {\tt http://www.openxm.org} } @@ -32,8 +32,8 @@ the accelerated GCD algorithm), \noindent Arithmetics on various fields: the rationals, -$Q(\alpha_1,\alpha_2,\ldots,\alpha_n)$ -($\alpha_i$ is algebraic over $Q(\alpha_1,\ldots,\alpha_{i-1})$), +${\bf Q}(\alpha_1,\alpha_2,\ldots,\alpha_n)$ +($\alpha_i$ is algebraic over ${\bf Q}(\alpha_1,\ldots,\alpha_{i-1})$), $GF(p)$ ($p$ is a prime of arbitrary size), $GF(2^n)$. \medbreak @@ -112,7 +112,10 @@ quadratic first-order formula), \noindent {\color{red} det} (determinant), {\color{red} qsort} (sorting of an array by the quick sort algorithm), -{\color{red} eval} (evaluation of a formula containing transcendental functions), +{\color{red} eval} (evaluation of a formula containing transcendental functions +such as +{\color{red} sin}, {\color{red} cos}, {\color{red} tan}, {\color{red} exp}, +{\color{red} log}) {\color{red} roots} (finding all roots of a univariate polynomial), {\color{red} lll} (computation of an LLL-reduced basis of a lattice).