LinkBack URL
About LinkBacksThe power expansion of (x+a) where a is a numberic constant gives a polynomial expansion of (x+a). However, not all polynomial expansion can be mapped into a corresponding binomial expansion since the roots or zeros of polynomials would include imaginary numbers.
Welcome to the ToeQuest.
Results 1 to 10 of 11
Thread: polynomial expansion
- 03-15-2009, 03:25 PM #1Raider of the lost time
- Join Date
- Nov 2003
- Location
- United States
- Posts
- 11,778
- Blog Entries
- 10
- Thanks Given
- 1,106
- Thanked 1,472x in 1,192 Posts
- Rep Power
- 158
polynomial expansion
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
- 03-17-2009, 12:41 AM #2Grandmaster
- Join Date
- Jan 2008
- Location
- Canada
- Posts
- 3,721
- Blog Entries
- 1
- Thanks Given
- 2,400
- Thanked 1,614x in 1,153 Posts
- Rep Power
- 67
Re: polynomial expansion
maybe a little candy for you on this above
http://arxiv.org/PS_cache/math/pdf/0011/0011264v1.pdf
tell me what you think of the Quote
"We also believe that some of our simple Lie algebras could be related to non commutative geometry." unquote
in the abstract
kind regards gMax Planck, said that “all matter originates and exists only by virtue of a force which brings the particles of an atom to vibration which holds the atom together. We must assume behind this force is the existence of a conscious and intelligent mind. This mind is the matrix of all matter.“
and ....from an old master ... Ancora impara!
- 03-17-2009, 12:50 AM #3Grandmaster
- Join Date
- Jan 2008
- Location
- Canada
- Posts
- 3,721
- Blog Entries
- 1
- Thanks Given
- 2,400
- Thanked 1,614x in 1,153 Posts
- Rep Power
- 67
Re: polynomial expansion
here is a link to interest?
enjoy, graham
http://arxiv.org/abs/0801.3911Max Planck, said that “all matter originates and exists only by virtue of a force which brings the particles of an atom to vibration which holds the atom together. We must assume behind this force is the existence of a conscious and intelligent mind. This mind is the matrix of all matter.“
and ....from an old master ... Ancora impara!
- 03-17-2009, 05:51 PM #4Raider of the lost time
- Join Date
- Nov 2003
- Location
- United States
- Posts
- 11,778
- Blog Entries
- 10
- Thanks Given
- 1,106
- Thanked 1,472x in 1,192 Posts
- Rep Power
- 158
Re: polynomial expansion
I am replacing a differentiable Lie algebra with a Hadamard algebra.
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
- 03-17-2009, 06:46 PM #5Grandmaster
- Join Date
- Jan 2008
- Location
- Canada
- Posts
- 3,721
- Blog Entries
- 1
- Thanks Given
- 2,400
- Thanked 1,614x in 1,153 Posts
- Rep Power
- 67
Re: polynomial expansion
That would play a role in the discussion of the evolution of scalar fluctuations of the metric, FRW models open for developement for sure of an early universe to the inflationary phase of past rapid expand .. the preferred state should be of the Hadamard form, the back reaction is finite on the metric going down a bit further.
interesting. I think i read there is some new proving going on but forget the link.. will try to find it.
regards~ g
Max Planck, said that “all matter originates and exists only by virtue of a force which brings the particles of an atom to vibration which holds the atom together. We must assume behind this force is the existence of a conscious and intelligent mind. This mind is the matrix of all matter.“
and ....from an old master ... Ancora impara!
- 03-21-2009, 12:03 PM #6Raider of the lost time
- Join Date
- Nov 2003
- Location
- United States
- Posts
- 11,778
- Blog Entries
- 10
- Thanks Given
- 1,106
- Thanked 1,472x in 1,192 Posts
- Rep Power
- 158
Re: polynomial expansion
Nevertheless, the spacetime topology must be genus unity.
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
- 03-21-2009, 12:22 PM #7Moderator
- Join Date
- Aug 2005
- Location
- United Kingdom
- Posts
- 11,621
- Blog Entries
- 5
- Thanks Given
- 295
- Thanked 896x in 724 Posts
- Rep Power
- 154
Re: polynomial expansion Quite so without unity we would have chaos?
Originally Posted by AntonioLao 
regards michaelHumilty,coupled with boldness,surprises truth to
reveal herself?
- 03-21-2009, 12:46 PM #8Grandmaster
- Join Date
- Jan 2008
- Location
- Canada
- Posts
- 3,721
- Blog Entries
- 1
- Thanks Given
- 2,400
- Thanked 1,614x in 1,153 Posts
- Rep Power
- 67
Re: polynomial expansion
i agree for different reasons but maybe organized chaos? Originally Posted by mkirkpatrick 
~~g Max Planck, said that “all matter originates and exists only by virtue of a force which brings the particles of an atom to vibration which holds the atom together. We must assume behind this force is the existence of a conscious and intelligent mind. This mind is the matrix of all matter.“
and ....from an old master ... Ancora impara!
- 03-21-2009, 12:54 PM #9Raider of the lost time
- Join Date
- Nov 2003
- Location
- United States
- Posts
- 11,778
- Blog Entries
- 10
- Thanks Given
- 1,106
- Thanked 1,472x in 1,192 Posts
- Rep Power
- 158
Re: polynomial expansion
Most dynamic topologists or chaoticists accept the idea of an order out of chaos.
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
- 03-21-2009, 01:34 PM #10Grandmaster
- Join Date
- Jan 2008
- Location
- Canada
- Posts
- 3,721
- Blog Entries
- 1
- Thanks Given
- 2,400
- Thanked 1,614x in 1,153 Posts
- Rep Power
- 67
Re: polynomial expansion
Yes, in the begin all was indistinguishable from other in motion the conjoin (a,b,c,...z)=(a,b,c,...z) -> but, then the boundary changed.
What were the rules to the change .. ?Max Planck, said that “all matter originates and exists only by virtue of a force which brings the particles of an atom to vibration which holds the atom together. We must assume behind this force is the existence of a conscious and intelligent mind. This mind is the matrix of all matter.“
and ....from an old master ... Ancora impara!
Reply With QuoteThread Information
Users Browsing this Thread
There are currently 1 users browsing this thread. (0 members and 1 guests)
Posting Permissions
Powered by vBulletin® Version 4.1.11
Copyright © 2012 vBulletin Solutions, Inc. All rights reserved.
Content Relevant URLs by vBSEO 3.6.0
Copyright © 2012 vBulletin Solutions, Inc. All rights reserved.
Content Relevant URLs by vBSEO 3.6.0
All times are GMT -4. The time now is 09:12 AM.
vBulletin 4.0 skin by CompleteVB
