On 10/21/2014 05:58 AM, Gustavo Goretkin wrote: > Is it possible to get out of > > series(sin(x),x=0) > > an object that looks more like sum_n=0^n=\infty (-1)ˆn * x^(2n+1) / > (2n+1)! than > > x - (1/6)x^3 + (1/120) x^5 .... > > If this is documented somewhere, I'd appreciate a pointer!
I don't exactly understand what you mean. I get the following, and you certainly get the same. ================================================================= $ fricas -nosman Checking for foreign routines AXIOM="/home/hemmecke/g/fricas-bisect/install/lib/fricas/target/x86_64-unknown-linux" spad-lib="/home/hemmecke/g/fricas-bisect/install/lib/fricas/target/x86_64-unknown-linux/lib/libspad.so" foreign routines found openServer result -2 FriCAS Computer Algebra System Version: FriCAS d8caf7978e4e8a5775ed13bcc847c8d3a01b2c2e Timestamp: Sun Sep 7 12:43:55 CEST 2014 ----------------------------------------------------------------------------- Issue )copyright to view copyright notices. Issue )summary for a summary of useful system commands. Issue )quit to leave FriCAS and return to shell. ----------------------------------------------------------------------------- (1) -> s := series(sin(x),x=0) 1 3 1 5 1 7 1 9 1 11 12 (1) x - - x + --- x - ---- x + ------ x - -------- x + O(x ) 6 120 5040 362880 39916800 Type: UnivariatePuiseuxSeries(Expression(Integer),x,0) (2) -> coefficient(s,42) (2) 0 Type: Expression(Integer) (3) -> coefficient(s,43) 1 (3) - ----------------------------------------------------- 60415263063373835637355132068513997507264512000000000 Type: Expression(Integer) ============================================================= Yes, AXIOM treats a series (in contrast to Maple or Mathematica) as an infinite object, i.e. the internal structure is such that any coefficient of this series can be extracted from s. See for example Chapter 1.11 in the Book. http://hemmecke.de/fricas/book.pdf Also Chapter 8.9 might help. Ralf _______________________________________________ Axiom-mail mailing list Axiom-mail@nongnu.org https://lists.nongnu.org/mailman/listinfo/axiom-mail