Bill Allombert on Mon, 19 Nov 2018 20:03:25 +0100


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Re: apply(sign,x) == x


On Mon, Nov 19, 2018 at 06:38:35PM +0000, Jacques Gélinas wrote:
> apply(f, A): If A  is  a  polynomial or power series,  apply f on all coefficients.

the coefficients of x are 0 and 1, so
apply(sign,x) = sign(0)*x^0+sign(1)*x == x

> Of course, I would expect sign not to return a polynomial, but -1, 0, or 1 as in
> apply(sign,Vec(x)) == [1,0]

[1,0] is neither -1, 0 or 1 !

Cheers,
Bill.