Same crash - with kernel panic reported - at end of process of process of
verifying when opening sage-8.5-OSX_10.14.2-x86_64.app under macOS 10.14.2.
Tried downloads from both UW and MIT, with same result.
I've never seen this happen before, even when opening/verifying MUCH larger
dmg's (e.g.,
Hi Peter,
On 2018-12-30, Nils Bruin wrote:
>> Does this only work in interactive mode? As soon as I try to
>> capture it in a function it doesn't work anymore.
The syntax
R. = QQ[[]]
only works interactively. In an interactive session, a preparser is
adding some syntactical sugar:
sage:
Hi Nils,
On 2018-12-30, Nils Bruin wrote:
> In the mean time, you can accomplish your computations without using SR:
>
> sage: R.=QQ[[]]
> sage: (1 - x - sqrt(1 - 6*x + x^2))/(2*x)
> 1 + 2*x + 6*x^2 + 22*x^3 + 90*x^4 + 394*x^5 + 1806*x^6 + 8558*x^7 +
> 41586*x^8 + 206098*x^9 + 1037718*x^10 +
On Sunday, December 30, 2018 at 10:30:53 AM UTC-8, Peter Luschny wrote:
>
> > In the mean time, you can accomplish your computations without using SR:
> > sage: R.=QQ[[]]
> > sage: (1 - x - sqrt(1 - 6*x + x^2))/(2*x)
> > 1 + 2*x + 6*x^2 + 22*x^3 + 90*x^4 + 394*x^5 + ...
>
> Does this only work in
> In the mean time, you can accomplish your computations without using SR:
> sage: R.=QQ[[]]
> sage: (1 - x - sqrt(1 - 6*x + x^2))/(2*x)
> 1 + 2*x + 6*x^2 + 22*x^3 + 90*x^4 + 394*x^5 + ...
Does this only work in interactive mode? As soon as I try to
capture it in a function it doesn't work
Looking at the implementation, it seems that the ".series" method uses
Pynac/Ginac series. A little experimentation seems to suggest that this is
not properly wrapped. If we break up the expression in small parts and see
how series expansions of the different components combine, we get
Thank you Simon for your detailed explanations.
I'm pretty sure it's a bug. Sage doesn't like little Schroeder either.
LittleSchroeder = (1 + x - sqrt(1 - 6*x + x^2))/(4*x)
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PS:
On 2018-12-30, Simon King wrote:
> It surprises me that .series(x,6) has a pole (after all, LargeSchroeder's
> discontinuity in x=0 seems removable), so perhaps it's a bug, but
> perhaps it's a feature after all --- I cannot tell from the documentation
> if it is intended or not.
Here is
Hi Peter,
On 2018-12-30, Peter Luschny wrote:
> With Sage 8.4:
> LargeSchroeder = SR((1 - x - sqrt(1 - 6*x + x^2))/(2*x))
Putting "SR" around the expression probably isn't needed, as by default
x is a symbolic variable (of course this doesn't hold if you have
defined x to be something
Hi,
I get with Maple:
LargeSchroeder := (1 - x - sqrt(1 - 6*x + x^2))/(2*x);
series(LargeSchroeder, x, 6);
taylor(LargeSchroeder, x=0, 6);
1+2*x+6*x^2+22*x^3+90*x^4+394*x^5+O(x^6)
1+2*x+6*x^2+22*x^3+90*x^4+394*x^5+O(x^6)
Both functions give the same result. Not so with
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