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05-17-2011, 05:36 PM
|  | is, against all odds, still a scuba viking. | | Join Date: Feb 2007 Location: Alta Loma, California | | | Quick math question:
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does (ab)2 = a2b2?
I'm working with recursive time series regression functions for econometrics, and I'm stuck halfway through a proof because I'm not sure if this is true or not.
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Originally Posted by Dr. Cheese  It is never the duty of the oppressed to make a bigot feel comfortable. | |
05-17-2011, 05:42 PM
| | Registered User | | Join Date: Dec 2009 Location: Tennessee | | | Yep, it is true. Not sure of hte rule for your proof though.
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Let's Go Pred-a-tors!
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05-17-2011, 05:50 PM
|  | Registered User | | Join Date: May 2008 Location: Down in the middle somewhere. | | | Well apparently it does! |
05-17-2011, 05:51 PM
| | Registered User | | Join Date: Apr 2009 Location: New-brunswick | | It's true, in doubt ask wolfgram alpha |
05-17-2011, 05:51 PM
| | is, against all odds, still a scuba viking. | | Join Date: Feb 2007 Location: Alta Loma, California | | | yay!
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Originally Posted by Dr. Cheese It is never the duty of the oppressed to make a bigot feel comfortable. | |
05-17-2011, 05:52 PM
|  | Supporting Member | | Join Date: Jun 2008 Location: Close to Los Angeles, CA | | | Distributive property. |
05-17-2011, 05:53 PM
|  | I took the one less traveled by | | Join Date: Mar 2002 Location: Reims, Champagne, France | | | It's validated by the rule of distribution. |
05-17-2011, 06:14 PM
| | is, against all odds, still a scuba viking. | | Join Date: Feb 2007 Location: Alta Loma, California | | | indeed. It's amazing how many of these little rules you forget over the years...
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Originally Posted by Dr. Cheese It is never the duty of the oppressed to make a bigot feel comfortable. | |
05-17-2011, 06:15 PM
| | Registered User | | Join Date: Jun 2007 Location: Takoma Park, MD (DC) | | | ba(na)^2 = banana |
05-17-2011, 06:20 PM
| | I took the one less traveled by | | Join Date: Mar 2002 Location: Reims, Champagne, France | | | Banana is the product of a recurving function. |
05-17-2011, 06:26 PM
| | Registered User | | Join Date: Nov 2007 Location: Montreal, Quebec, Canada | | | yes
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Originally Posted by Jim Campbell grand daddy used to say that the more he learned about people the better he liked horses | |
05-17-2011, 06:28 PM
| | Registered User | | Join Date: Apr 2009 Location: New-brunswick | | | |
05-17-2011, 07:49 PM
| | Registered User | | Join Date: Dec 2006 Location: California | | | What if multiplication isn't commutative in this group though :P ?
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Ergo facio bassum sum
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05-17-2011, 08:48 PM
| | Registered User | | Join Date: Apr 2007 Location: Kolkata (Calcutta), India | | Quote:
Originally Posted by SonofJud What if multiplication isn't commutative in this group though :P ? | LOL! Even I was thinking this as I read the OP's post.
Actually, IIRC, a group is commutative (Abelian) iff (a o b)^2 = a^2 o b^2 and not the other way around. On a related note, I think a group is Abelian if (a o b)^n = a^n o b^n holds for three consecutive integer values of n.
The bottom line is, OP is most likely talking about values which belong to an Abelian group and thus this discussion is perhaps useless 
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05-17-2011, 08:54 PM
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Maker of HPF-Pre upright bass preamp | | Join Date: Mar 2004 Location: Madison WI | | Quote:
Originally Posted by SonofJud What if multiplication isn't commutative in this group though :P ? | Then you would be un-abel to distribute. |
05-17-2011, 08:57 PM
| | Registered User | | Join Date: Jul 2009 Location: SW Illinois USA | | Quote:
Originally Posted by IconBasser does (ab)2 = a2b2?
I'm working with recursive time series regression functions for econometrics, and I'm stuck halfway through a proof because I'm not sure if this is true or not. | (ab) 2 = (ab)*(ab) = abab = abba
a 2*b 2 = aa * bb = aabb = abba.
and that's The Name Of the Game. YouTube - Abba - The Name Of The Game
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05-18-2011, 03:46 AM
| | Registered User | | Join Date: Sep 2006 Location: Birmingham, UK | | yes.
Also, 
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Originally Posted by Relic That's your masterly-bated fish hook. | |
05-18-2011, 04:12 AM
| | | | I solve algebra equations about as well as Rocky Dennis wins beauty pageants.
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05-18-2011, 05:33 AM
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05-18-2011, 05:50 AM
| | | ^ Assumption timexmoney is just overrated imo.
It is time+money, cause I think girls are less than evil.
If Evil>4 obviously.  | | Thread Tools | Search this Thread | | | | 
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