Thanks. John Randall, being a professor of mathematics, would have a much easier time providing that table than it would be for you and me.
----- Original Message ----- From: Dan Bron <[email protected]> Date: Saturday, February 19, 2011 10:26 Subject: Re: [Jprogramming] Derivatives of o. family To: 'Programming forum' <[email protected]> > Roger wrote: > > If you can suggest the desired derivates/integrals, > > it would greatly aid in filling the gaps. e.g. > > > > derivative integral > > 0&o. > > 4&0. > > Having long since forgotten my undergraduate calculus courses, I > googled for > "online derivative calculator" and found this: > > http://www.numberempire.com/derivatives.php > http://www.numberempire.com/integralcalculator.php > > Looking up the definitions of 0&o. and 4&o. (viz, -.&.:*: and >:&.:*: > respectively), and plugging them into the above, I came up with: > > f f d. > 1 f d. _1 > 0&o. -@:(% -. *&:%: >:) -:@:(_1&o. + ] > * -. *&:%: >:) > 4&o. % > >:&.:*: -:@:(_5&o. + ] * >:&.:*:) > > Verification left as an exercise for those who haven't forgotten their > undergraduate calculus courses :) > > -Dan > > PS: Of course we have some leeway with J style (e.g. we > could write them > all paren free by replacing the @ parts with NVV equivalents, 0 - > ... and 2 > %~ ... etc). ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
