On Sun, 11 Feb 2007 23:38:37 -0800, Michel <[EMAIL PROTECTED]> wrote:
>
> I am wondering what Sage's strategy is with regard to coercions.
There are two versions of coercion:
1. implicit canonical coercion (the _coerce_ method),
2. coerce if there is any way that makes any reasonable s
I'm actually working on a slightly different type of interval compare
for the p-adics. Lazy p-adics will return an interval as their
valuation if they're currently indistinguishable from 0: it will be of
the form [a, infinity] or [a, a]. If you compare such intervals, they
shrink themselves unti
I am wondering what Sage's strategy is with regard to coercions.
It thought that it would be reasonable that an element of a
RealIntervalField
should be coercable into a RealField but this does not seem to be the
case.
sage: r=RealIntervalField(16)((1,2))
sage: RealField(16)(r)
: Unable to conve
On Sun, 11 Feb 2007 00:22:23 -0800, Carl Witty <[EMAIL PROTECTED]> wrote:
> That's one of the uses of interval arithmetic. My own use for
> interval arithmetic is dealing with algebraic numbers. It is possible
> to do exact computations with algebraic numbers, but if the question
> you are askin
On Sun, 11 Feb 2007 06:07:17 -0800, David Harvey <[EMAIL PROTECTED]> wrote:
> H apart from what's "mathematically correct", there is
> another problem I just noticed.
>
> According to
>
> http://docs.python.org/ref/customization.html
>
> it says "The only required property is that objects
On Feb 11, 2007, at 3:22 AM, Carl Witty wrote:
> That's one of the uses of interval arithmetic. My own use for
> interval arithmetic is dealing with algebraic numbers. It is possible
> to do exact computations with algebraic numbers, but if the question
> you are asking is not too difficult th
On Feb 10, 6:48 pm, David Harvey <[EMAIL PROTECTED]> wrote:
> On Feb 10, 2007, at 9:40 PM, Carl Witty wrote:
>
> > Some IEEE doubles are exact -- you can't tell just by looking at it
> > whether a value of 0.5 is intended to be exact or approximate.
>
> True.
>
> Can I check I understand the point
On Feb 10, 2007, at 9:40 PM, Carl Witty wrote:
> Some IEEE doubles are exact -- you can't tell just by looking at it
> whether a value of 0.5 is intended to be exact or approximate.
True.
Can I check I understand the point of real interval arithmetic. I've
never done any computational work w
On Feb 10, 6:05 pm, David Harvey <[EMAIL PROTECTED]> wrote:
> On Feb 10, 2007, at 8:35 PM, Carl Witty wrote:
>
>
>
> > I have a design question about interval arithmetic comparisons.
>
> [...]
>
> I don't quite know the answer to these questions, but I reckon one
> thing: for consistency, you wa
On Feb 10, 2007, at 8:35 PM, Carl Witty wrote:
>
> I have a design question about interval arithmetic comparisons.
[...]
I don't quite know the answer to these questions, but I reckon one
thing: for consistency, you want interval comparison to match up with
comparison of reals and comparison
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