Roger Hui 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.
> etc.

Here are my suggestions for the result of f d. 1 where f is in the
o. family.  I'll do the integrals shortly.

All of these have been tested against f D. 1 for suitable
arguments. For example

    >./ | (%@(4&o.) - _5&o. D. 1)"0 ] _10+20*50 ?@$ 0
2.62923e_8

is pretty good evidence that %@(4&o.) is the derivative of _5&o.

"OK" means that J already knows the derivative: "no derivative" means
that there isn't one.

  f    f'
  0&o. -@(% 0&o.)
  1&o. OK
  2&o. OK
  3&o. OK
  4&o. % 4&o.
  5&o. OK
  6&o. OK
  7&o. OK
  8&o. % _8&o.
  9&o. no derivative
 10&o. no derivative
 11&o. no derivative
 12&o. no derivative
 _1&o. %@(0&o.)
 _2&o. -@%@(0&o.)
 _3&o. %@>:@*:
 _4&o. % _4&o.
 _5&o. %@(4&o.)
 _6&o. %@(_4&o.)
 _7&o. %@(1-*:)
 _8&o. % 8&o.
 _9&o. no derivative
_10&o. no derivative
_11&o. j. d. 1
_12&o. ^@j. d. 1


Best wishes,

John

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