Advanced Graphing error?

[Jan_D]

(01-03-2017 07:55 AM)cyrille de brébisson Wrote:  Hello,

I think that I know what is happening.

indeed, in the general case, X^Y is complex when X<0 and Y is not a rational.

HOWEVER, please remember that the advanced graphing does not treat pixels as 'points', but as 'areas'... And since Z is dense in R, in any area, there is an infinity of rational numbers. Hence, for any given pixel with X<0, this pixel will represent an infinity of rational numbers. And these rational numbers will have both positive and negative real roots (depending if the numerator is odd or even).

This is why you are seeing the 2 graphs in the X<0 space.

Cyrille

There is logics in this.

But strange is that y=x^(1/3) shows no graph for x<0 whereas y=x^cos(1) shows a double sided graph for x<0.

y=(-2)^(1/3) shows no line, y=³√-2 does not show a line either, but y=(-2)^cos(1) shows 2 lines and the numeric equivalent (-2)^0.540302305868 shows again no line.