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doc/eval: fix/extend documentation for taylor() function

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Stefano Sabatini
2013-01-22 23:53:39 +01:00
parent d99bc84752
commit 41e5e28daf
1 changed files with 14 additions and 7 deletions
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doc/eval.texi
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@@ -163,13 +163,20 @@ evaluation of @var{y}, return 0 otherwise.
Evaluate @var{x}, and if the result is zero return the evaluation Evaluate @var{x}, and if the result is zero return the evaluation
result of @var{y}, otherwise the evaluation result of @var{z}. result of @var{y}, otherwise the evaluation result of @var{z}.
@item taylor(expr, x) taylor(expr, x, id) @item taylor(expr, x)
Evaluate a taylor series at x. @item taylor(expr, x, id)
expr represents the LD(id)-th derivates of f(x) at 0. If id is not specified Evaluate a Taylor series at @var{x}, given an expression representing
then 0 is assumed. the @code{ld(id)}-th derivative of a function at 0.
note, when you have the derivatives at y instead of 0
taylor(expr, x-y) can be used When the series does not converge the result is undefined.
When the series does not converge the results are undefined.
@var{ld(id)} is used to represent the derivative order in @var{expr},
which means that the given expression will be evaluated multiple times
with various input values that the expression can access through
@code{ld(id)}. If @var{id} is not specified then 0 is assumed.
Note, when you have the derivatives at y instead of 0,
@code{taylor(expr, x-y)} can be used.
@item time(0) @item time(0)
Return the current (wallclock) time in seconds. Return the current (wallclock) time in seconds.