Fourier series. I think that it would be of interest to Engineers and Scientists alike.

I have no evidence of what most people want on this issue. I can say for me and colleagues from whom I have heard an opinion, and found such changing default vertical range quite confusing when analysing a function.

Do you have a link to those matplotlib mailing list discussions?

I have no evidence of what most people want on this issue. I can say for me and colleagues from whom I have heard an opinion, and found such changing default vertical range quite confusing when analysing a function.

Do you have a link to those matplotlib mailing list discussions?

If I just choose a smaller horizontal interval, for such a function, then I want "zooming" in the horizontal direction, but not in the vertical direction. In this particular case, keeping the default vertical range at something like 2, as the horizontal range is reduced, would be most convenient for me.

If I just choose a smaller horizontal interval, for such a function, then I want "zooming" in the horizontal direction, but not in the vertical direction. In this particular case, keeping the default vertical range at something like 2, as the horizontal range is reduced, would be most convenient for me.

Drawing a horizontal line as default behavior is most useful as it depicts the main feature of this function, that the magnitude of the zeroth term of the Taylor expansion is much larger than the magnitude of the first order one, over the plot interval.

Focusing on the slope, if needed, should go in the next step of the analysis, by setting a vertical range of the order of the horizontal one, around the zero order value.

Drawing a horizontal line as default behavior is most useful as it depicts the main feature of this function, that the magnitude of the zeroth term of the Taylor expansion is much larger than the magnitude of the first order one, over the plot interval.

Focusing on the slope, if needed, should go in the next step of the analysis, by setting a vertical range of the order of the horizontal one, around the zero order value.

In what sense is a single point plot an  "interesting solution"? What version of Mupad is this one?

In what sense is a single point plot an  "interesting solution"? What version of Mupad is this one?

Default above was meant for the case of the range - 10^(-16)... 10^(-16)) we were talking about. For these other two cases, the default is badly chosen, in my opinion.

I have tried similar plots with Sage and get an error mesage when the exponent is smaller (more negative) than -6. 

Default above was meant for the case of the range - 10^(-16)... 10^(-16)) we were talking about. For these other two cases, the default is badly chosen, in my opinion.

I have tried similar plots with Sage and get an error mesage when the exponent is smaller (more negative) than -6. 

For me, the default vertical range of 2 is much more useful.

For me, the default vertical range of 2 is much more useful.

The "correction" from the term x is at most 10^(-16), with negligible ratio wrt the plot height of 2. So, it should look like 1.

By the way, I have tried the plot for 'ln' in Sage here. It is also stepwise in the default setting.

The "correction" from the term x is at most 10^(-16), with negligible ratio wrt the plot height of 2. So, it should look like 1.

By the way, I have tried the plot for 'ln' in Sage here. It is also stepwise in the default setting.