> can be evalf'ed

That's a clear and good reminder.

/c

On Monday, September 13, 2021 at 12:10:50 PM UTC-5 [email protected] wrote:

> is_number means "can be evalf'ed". So for example, we have the following
>
> >>> f = Function('f')
> >>> f(0).is_number
> False
> >>> f(0).free_symbols
> set()
>
> So you should use is_number specifically if you are checking if you
> can evaluate the expression to a literal number.
>
> Aaron Meurer
>
> On Mon, Sep 13, 2021 at 10:21 AM Paul Royik <[email protected]> wrote:
> >
> > Thanks to everybody!
> >
> > On Monday, September 13, 2021 at 3:56:47 PM UTC+3 Oscar wrote:
> >>
> >> Think about things that are literally not numbers:
> >>
> >> In [9]: Interval(1, 2).is_number
> >> Out[9]: False
> >>
> >> In [10]: ImmutableMatrix([[1, 2], [3, 4]]).is_number
> >> Out[10]: False
> >>
> >>
> >> On Mon, 13 Sept 2021 at 13:00, Chris Smith <[email protected]> wrote:
> >>>
> >>> To confirm, if you mean that it is free from any Symbol (free or 
> bound) then `not expr.has(Symbol)` will be best. But if you consider 
> `Integral(x, (x, 1, 2))` as a number then you should use `is_number` or 
> `free_symbols`, with `expr.is_number` failing sooner than `not 
> expr.free_symbols` if the expression has a free symbol. (So if you suspect 
> the expression has free symbols then use `is_number`, else `free_symbols`).
> >>>
> >>> `f.is_number != (not bool(f.free_symbols))` should be an invariant for 
> Expr, but SymPy also deals with Booleans, so `S.true.is_number` is False 
> and `S.true.free_symbols` is empty.
> >>>
> >>> /c
> >>>
> >>> On Sunday, September 12, 2021 at 11:56:23 PM UTC-5 [email protected] 
> wrote:
> >>>>
> >>>> Are there any cases when f.is_number != (not bool(f.free_symbols))?
> >>>>
> >>>> If I have an arbitrary expression, what is the correct way to check 
> whether it has variables?
> >>>>
> >>>> Thank you.
> >>>
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