Difference between expr.is_number and expr.is_Number

[Paul Royik]

What is the difference between above two properties?

[Aaron Meurer]

The capitalized version checks if the class is an instance of the
Number class (this is true in general for is_Capitalized). The
lowercase version checks if the expression has free symbols. So for
instance, (1 + pi).is_number is True but (1 + pi).is_Number is False.
In general, is_lowercase means it checks some assumption on an
expression (is_number is technically not part of the assumptions
system, but it is very similar).

Aaron Meurer

On Wed, Mar 25, 2015 at 7:32 AM, Paul Royik <distan...@gmail.com> wrote:
> What is the difference between above two properties?
>

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[Paul Royik]

Thank you.

Can you tell me what pi is instance of?

[Sudhanshu Mishra]

In [24]: pi.is_NumberSymbol

Out[24]: True

pi is not an object of Number class though.

Sudhanshu Mishra

To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/9ec2f208-b03d-47b7-bee7-110a68695055%40googlegroups.com.

[Paul Royik]

Thanks.

[Aaron Meurer]

I believe the Number class is only for explicit integer, rational, and
floating point numbers.

Aaron Meurer

> https://groups.google.com/d/msgid/sympy/91cfdcae-fda6-4d30-87d7-30189ff74c2a%40googlegroups.com.