On Wednesday, August 10, 2016, Todd Zimmerman <[email protected]>
wrote:
> 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.
>
>
No it doesn't.
>
> 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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