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147

answers:

2

Hi all,

I want to build a Python function that calculates,

alt text

and would like to name my summation function Σ. In a similar fashion, would like to use Π for product, and so on. I was wondering if there was a way to name a python function in this fashion?

def Σ (..):
 ..
 ..

That is, does Python support unicode identifiers, and if so, could someone provide an example for it?

Thanks!


Original motivation for this was a piece of Clojure code I saw today that looks like,

(defn entropy [X]
      (* -1 (Σ [i X] (* (p i) (log (p i))))))

where Σ is a macro defined as,

(defmacro Σ
    ... )

and I thought that was pretty cool.


BTW, to address a couple of comments about readability - with a lot of stats/ML code for instance, being able to compose operations with symbols would be really helpful. (Especially for really complex integrals et al)

φ(z) = ∫(N(x|0,1,1), -∞, z)

vs

Phi(z) = integral(N(x|0,1,1), -inf, z)

or even just the lambda character for lambda()!

+5  A: 

(I think it’s pretty cool too, that might mean we’re geeks.)

You’re fine to do this with the code you have above in Python 3 (Works in my Python 3.1 interpreter anyway.). See:

But in Python 2, identifiers can only be letters, numbers and underscores.

Paul D. Waite
+2  A: 

Python 2.x does not support unicode identifiers, and consequently does not support Σ as an identifier. Python 3.x does support unicode identifiers, although many people will get cross if they have to edit source files with, for example, identifiers A and Α (latin A and greek capital alpha.) Sigma is often readable enough, but still, not as readable as the word sigma, so why bother?

Thomas Wouters
I think readability of words versus symbols depends on context. When I’m reading something mathy, I find symbols (e.g. `x + y`) more readable than the wordy equivalents you’d get in, say, AppleScript (e.g. `add x to y`). Symbols are terser, and generally let you get by on shape recognition alone, which I think is easier on the brain than reading. I don’t do enough mathy stuff to have felt the need to add a sigma sign to my code though.
Paul D. Waite
Sure, there are plenty of cases where symbols are more readable than words. Or where non-ASCII characters express things better. I was mostly commenting on the fact that an identifier consisting of a single sigma isn't really an improvement over the word 'sigma' :)
Thomas Wouters
Just added an edit for this. Try composing something like, return (lambda x: N/(sigma * (2*numpy.pi)**.5) * numpy.e ** (-(x-mu)**2/(2 * sigma**2))) hehe.
viksit
That doesn't look any more readable with unicode identifiers to me.
Thomas Wouters
“That doesn't look any more readable with unicode identifiers to me.” — It does look more similar to the equation posted at the top of the question though. If someone was used to reading equations like that, mightn’t they find the symbol-y Python code more readable too?
Paul D. Waite
"many people will get cross if they have to edit source files with, for example, identifiers A and Α (latin A and greek capital alpha.)" I know I would. And I'm Greek.
Manos Dilaverakis
@Paul: sure, readability is always subjective. The audience is important. Which is why you need to consider the audience more than your own preferences. It's easy if you're always going to be your own entire audience, of course, but frequently things that start out that way end up in a wider distribution, and with a wider set of contributors.
Thomas Wouters