On Thu, Dec 10, 2009 at 3:56 PM, Jason Grout
wrote:
> VictorMiller wrote:
>> To do this correctly in full generality one needs to get into
>> "cyclindrical algebraic decomposition" -- a set in R^n has a
>> cylindrical algebraic
>> decomposition if it is written as a finite union of sets of the for
On Thu, 10 Dec 2009 14:37:50 -0800 (PST)
Simon King wrote:
> On 10 Dez., 23:15, William Stein wrote:
> [...]
> > __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ f := x < y
> >
> > > f*(-3)
> > > ;
> >
> > __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ -3 y < -3 x
> >
> > > f*z;
> >
> > __
VictorMiller wrote:
> To do this correctly in full generality one needs to get into
> "cyclindrical algebraic decomposition" -- a set in R^n has a
> cylindrical algebraic
> decomposition if it is written as a finite union of sets of the form
> { x : f(x) > 0 } where f is a polynomial. There is an
To do this correctly in full generality one needs to get into
"cyclindrical algebraic decomposition" -- a set in R^n has a
cylindrical algebraic
decomposition if it is written as a finite union of sets of the form
{ x : f(x) > 0 } where f is a polynomial. There is an algorithm due
to Tarski
for cr
Hi!
On 10 Dez., 23:15, William Stein wrote:
[...]
> f := x < y
>
> > f*(-3)
> > ;
>
> -3 y < -3 x
>
> > f*z;
>
> *(x < y, z)
>
> > f*a;
>
> *(x < y, a)
What els
On Thu, Dec 10, 2009 at 1:33 PM, kcrisman wrote:
>
>
> On Dec 10, 2:49 pm, William Stein wrote:
>> On Thu, Dec 10, 2009 at 10:32 AM, kcrisman wrote:
>>
>> >> At this point, I'm just throwing some remarks out, not saying that we
>> >> should
>> >> do anything in particular.
>>
>> >> I'm curious
On Dec 10, 2:49 pm, William Stein wrote:
> On Thu, Dec 10, 2009 at 10:32 AM, kcrisman wrote:
>
> >> At this point, I'm just throwing some remarks out, not saying that we
> >> should
> >> do anything in particular.
>
> >> I'm curious -- who multiplies equalities by a scalar *except* high school
On Thu, Dec 10, 2009 at 10:32 AM, kcrisman wrote:
>>
>> At this point, I'm just throwing some remarks out, not saying that we should
>> do anything in particular.
>>
>> I'm curious -- who multiplies equalities by a scalar *except* high school
>> students or college students taking entry level coll
>
> At this point, I'm just throwing some remarks out, not saying that we should
> do anything in particular.
>
> I'm curious -- who multiplies equalities by a scalar *except* high school
> students or college students taking entry level college algebra classes?
Or those in calculus or LP classes
