I'm aware of the difference between the two approaches in vanilla Python, I
was just trying to figure out if SageMath treats the two differently. You
can integrate and differentiate both types of functions in SageMath as well
as use them for solving differential equations.
-Todd
On Wednesday, August 10, 2016 at 1:51:38 PM UTC-5, Harald Schilly wrote:
>
>
>
> On Wednesday, August 10, 2016 at 8:37:18 PM UTC+2, Todd Zimmerman wrote:
>>
>> Is there any significant difference in SageMath between defining a
>> function using lambda vs. defining it using 'def ...:'?
>>
>>
> This is actually a pure Python question, and the answer is yes.
> Technically:
>
> def f1(x):
> return x
>
> f2 = lambda x : x
>
> import dis # disassembler
>
>
> dis.dis(f1)
>
> 2 0 LOAD_FAST 0 (x)
> 3 RETURN_VALUE
>
> dis.dis(f2)
>
> 1 0 LOAD_FAST 0 (x)
> 3 RETURN_VALUE
>
>
>
> But you cannot integrate or differentiate them! For that, you need a
> function/symbolic expression, which is a Sage-specific object!
>
> Under the hood, f(x) = x is constructed like:
>
> x = var("x")
> f = symbolic_expression(x).function(x)
>
>
> -- harald
>
>
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