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function vs expression

asked 2021-08-29 14:55:38 +0200

eyal gravatar image

Hi there,

Is there a difference between, e.g.,

g=x^2

and

f(x)=x^2

?

In the literature the first is considered to be an expression while the other is a function, but checking their types gives

<class 'sage.symbolic.expression.Expression'>

in both cases.

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Welcome to Ask Sage! Thank you for your question!

slelievre gravatar imageslelievre ( 2021-08-29 19:33:49 +0200 )edit

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answered 2021-08-29 15:53:33 +0200

tmonteil gravatar image

You should check their parent:

sage: g.parent()
Symbolic Ring

sage: f.parent()
Callable function ring with argument x

sage: f(x).parent()
Symbolic Ring
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Asked: 2021-08-29 14:55:38 +0200

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Last updated: Aug 29 '21