Re: Inconsistent behavior?
- To: mathgroup at smc.vnet.net
- Subject: [mg87270] Re: Inconsistent behavior?
- From: Szabolcs Horvát <szhorvat at gmail.com>
- Date: Sun, 6 Apr 2008 06:42:27 -0400 (EDT)
- Organization: University of Bergen
- References: <ft7ggo$bs3$1@smc.vnet.net>
angela wrote: > Binomial[n,4] yields > 1/24 (-3+n) (-2+n) (-1+n) n > > Binomial[n,5] yields > 1/120 (-4+n) (-3+n) (-2+n) (-1+n) n > > Binomial[n,6] yields > Binomial[n,6] > > Binomial[n,7] yields > Binomial[n,7] > As you increase the second argument, the expression is getting larger quickly. Binomial[n, 100] /. n -> 101 can be computed much more quickly if Binomial[n, 100] is not expanded in terms of n before the value 101 is substituted. You can explicitly request symbolic expansion using FunctionExpand: Binomial[n, 100] // FunctionExpand Szabolcs