Good catch, it would do that On Sat, 30 Jun 2018 at 15:07 Maxwell Aifer <mai...@haverford.edu> wrote:
> *shouldn't the constructor call the lambda with Polynomial([0,1[) > > On Sat, Jun 30, 2018 at 6:05 PM, Maxwell Aifer <mai...@haverford.edu> > wrote: > >> Oh, clever... yeah I think that would be very cool. But shouldn't it call >> the constructor with Polynomial([0,1])? >> >> On Sat, Jun 30, 2018 at 5:41 PM, Eric Wieser <wieser.eric+nu...@gmail.com >> > wrote: >> >>> Since the one of the arguments for the decreasing order seems to just be >>> textual representation - do we want to tweak the repr to something like >>> >>> Polynomial(lambda x: 2*x**3 + 3*x**2 + x + 0) >>> >>> (And add a constructor that calls the lambda with Polynomial(1)) >>> >>> Eric >>> >>> >>> On Sat, 30 Jun 2018 at 14:30 Eric Wieser <wieser.eric+nu...@gmail.com> >>> wrote: >>> >>>> “the intuitive way” is the decreasing powers. >>>> >>>> An argument against this is that accessing the ith power of x is spelt: >>>> >>>> - x.coeffs[i] for increasing powers >>>> - x.coeffs[-i-1] for decreasing powers >>>> >>>> The former is far more natural than the latter, and avoids a potential >>>> off-by-one error >>>> >>>> If I ask someone to write down the coefficients of a polynomial I don’t >>>> think anyone would start from c[2] >>>> >>>> You wouldn’t? I’d expect to see >>>> >>>> [image: f(x) = a_3x^3 + a_2x^2 + a_1x + a_0] >>>> >>>> rather than >>>> >>>> [image: f(x) = a_0x^3 + a_1x^2 + a_2x + a_3] >>>> >>>> Sure, I’d write it starting with the highest power, but I’d still >>>> number my coefficients to match the powers. >>>> >>>> >>>> Eric >>>> >>>> >>> >>> _______________________________________________ >>> NumPy-Discussion mailing list >>> NumPy-Discussion@python.org >>> https://mail.python.org/mailman/listinfo/numpy-discussion >>> >>> >> > _______________________________________________ > NumPy-Discussion mailing list > NumPy-Discussion@python.org > https://mail.python.org/mailman/listinfo/numpy-discussion >
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