Polynomials

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3 total messages Started by Jon Tue, 03 Aug 2004 03:57

#1212

Author: Jon
Date: Tue, 03 Aug 2004 03:57

12 lines
1955 bytes

Polynomial Roots to any Degree
Vector Calculus Method

The projection of the curve T onto the normal N results in a logarithmic 
solution. However, the Taylor coefficients for the logarithmic 
contribution out-differentiate the polynomial, so it is subtracted as 
error from the final solution.


http://207.69.235.90/members/jon8338/polynomial/id7.html

Jon Giffen

Re: Polynomials

#1213

Author: Gregory Toomey
Date: Tue, 03 Aug 2004 04:49

15 lines
1732 bytes

Jon wrote:

> Polynomial Roots to any Degree
> Vector Calculus Method

We has enough of this nonsense last month.

http://mathworld.wolfram.com/QuinticEquation.html
Unlike quadratic, cubic, and quartic polynomials, the general quintic cannot
be solved algebraically in terms of a finite number of additions,
subtractions, multiplications, divisions, and root extractions, as
rigorously demonstrated by Abel  (Abel's impossibility theorem) and Galois.

gtoomey

Re: Polynomials

#1215

Author: Proginoskes
Date: Wed, 04 Aug 2004 03:56

17 lines
1995 bytes

Gregory Toomey <nospam@bigpond.com> wrote in message news:<2n8jqpFtbojkU1@uni-berlin.de>...
> Jon wrote:
> 
> > Polynomial Roots to any Degree
> > Vector Calculus Method
> 
> We has enough of this nonsense last month.
> 
> http://mathworld.wolfram.com/QuinticEquation.html
> Unlike quadratic, cubic, and quartic polynomials, the general quintic cannot
> be solved algebraically in terms of a finite number of additions,
> subtractions, multiplications, divisions, and root extractions, as
> rigorously demonstrated by Abel  (Abel's impossibility theorem) and Galois.

That argument doesn't work, since he's now thrown in the natural log 
function ...
     -- Christopher Heckman

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