0. The following is a shorter equivalent for "newton": newton=:1 : '- u % u d. 1'
1. Showing convergents: (_2+*:) newton^:(i.8) 2 2 1.5 1.41667 1.41422 1.41421 1.41421 1.41421 1.41421 2 - *: (_2+*:) newton^:(i.8) 2 _2 _0.25 _0.00694444 _6.0073e_6 _4.51061e_12 _4.44089e_16 4.44089e_16 _4.44089e_16 2. Rational numbers: (_2+*:) newton^:(i.8) 2x 2 3r2 17r12 577r408 665857r470832 886731088897r627013566048 ... 0j_40 ": ,. (_2+*:) newton^:(i.8) 2x 2.0000000000000000000000000000000000000000e0 1.5000000000000000000000000000000000000000e0 1.4166666666666666666666666666666666666667e0 1.4142156862745098039215686274509803921569e0 1.4142135623746899106262955788901349101166e0 1.4142135623730950488016896235025302436150e0 1.4142135623730950488016887242096980785697e0 1.4142135623730950488016887242096980785697e0 2 - *: (_2+*:) newton^:(i.8) 2x _2 _1r4 _1r144 _1r166464 _1r221682772224 _1r393146012008229658338304 ... 0j_5 ": 2 - *: (_2+*:) newton^:(i.8) 2x _2.00000e0 _2.50000e_1 _6.94444e_3 _6.00730e_6 _4.51095e_12 _2.54358e_24 _8.08727e_49 _8.17550e_98 ----- Original Message ----- From: John Randall <[EMAIL PROTECTED]> Date: Saturday, October 13, 2007 15:32 Subject: [Jgeneral] Brief example To: [email protected] > I want to use Newton's method as a very brief example that > demonstrates several distinctive features of J. > > So far I have > > newton=:1 : '-(u % u d. 1)' > (_2+*:) newton^:_ ] 2 > 1.41421 > 1&o. newton^:_ i.7 > 0 0 3.14159 3.14159 3.14159 9.42478 6.28319 > > Does anyone have suggestions for improving the adverb or the examples? ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
