# Re: Python's numeric tower

```On Sun, 15 Jun 2014 13:28:44 -0400, Roy Smith wrote:

> In article <539dbcbe\$0\$29988\$c3e8da3\$54964...@news.astraweb.com>,
>  Steven D'Aprano <steve+comp.lang.pyt...@pearwood.info> wrote:
>
>> On Sun, 15 Jun 2014 01:22:50 -0600, Ian Kelly wrote:
>>
>> > On Sat, Jun 14, 2014 at 8:51 PM, Steven D'Aprano
>> > <steve+comp.lang.pyt...@pearwood.info> wrote:
>> >> Does anyone know any examples of values or types from the standard
>> >> library or well-known third-party libraries which satisfies
>> >> isinstance(a, numbers.Number) but not isinstance(a,
>> >> numbers.Complex)?
>> >
>> >>>> issubclass(decimal.Decimal, numbers.Number)
>> > True
>> >>>> issubclass(decimal.Decimal, numbers.Complex)
>> > False
>>
>> Well, that surprises and disappoints me, but thank you for the answer.
>
> Why would you expect Decimal to be a subclass of Complex?```
```

py> from decimal import Decimal
py> Decimal("1.5").imag
Decimal('0')

Mathematically, ℂ (complex) is a superset of ℝ (real), and Decimals are a
kind of real(ish) number, like float:

py> from numbers import Complex
py> isinstance(1.5, Complex)
True

But then I suppose it is understandable that Decimal doesn't support the
full range of complex arithmetic.

--
Steven
--
https://mail.python.org/mailman/listinfo/python-list
```