Posted: 9/5/2010 9:50:54 AM EDT
[Last Edit: 9/5/2010 9:53:45 AM EDT by WildApple]
Are you smarter than a 5th grader?
Want to break this down for us then? Projective linear group explained in plain English http://en.wikipedia.org/wiki/Projective_linear_group In mathematics, especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL) is the induced action of the general linear group of a vector space V on the associated projective space P(V). Explicitly, the projective linear group is the quotient group PGL(V) = GL(V)/Z(V) where GL(V) is the general linear group of V and Z(V) is the subgroup of all nonzero scalar transformations of V; these are quotiented out because they act trivially on the projective space and they form the kernel of the action, and the notation "Z" is because the scalar transformations are the center of the general linear group. The projective special linear group, PSL, is defined analogously, as the induced action of the special linear group on the associated projective space. Explicitly: PSL(V) = SL(V)/SZ(V) where SL(V) is the special linear group over V and SZ(V) is the subgroup of scalar transformations with unit determinant. Here SZ is the center of SL, and is naturally identified with the group of nth roots of unity in K (where n is the dimension and K is the base field). PGL and PSL are some of the fundamental groups of study, part of the socalled classical groups, and an element of PGL is called a projective linear transformation. If V is the ndimensional vector space over a field F, namely V = Fn, the alternate notations PGL(n, F) and PSL(n, F) are also used. Note that PGL(n, F) and PSL(n, F) are equal if and only if every element of F contains a nth root in F. As an example, note that PGL(2,C)=PSL(2,C), but PGL(2,R)>PSL(2,R);[1] this corresponds to the real projective line being orientable, and the projective special linear group only being the orientationpreserving transformations. PGL and PSL can also be defined over a ring, with the most important example being the modular group, PSL(2, Z). 


LOL, do you actually think that 5th graders LEARN that?
Hmm, sarcasm... 

You gotta go there to come back.

Maybe at 5th grade, starfleet/Vulcan prep school.
As far as public school 5th graders in USA? I am smarter than most 24th graders and I ain't that smart. 

What the French Toast!!!
Ranstad's Militia=FNG 
Originally Posted By tweeter:
LOL, do you actually think that 5th graders LEARN that? Hmm, sarcasm... tweeter, you appear to be a sarcastic Ahole © But then again, it looks like you know that already IBKJ In Before Kieth_J 

"Remember, never take no cutoffs and hurry along as fast as you can."  Virginia Reed
Laphroaig and Rocky Patels  "The ARFCOM booze fairy drops it off. Picture Ron Jeremy in a tutu. "  capnrob97 
Originally Posted By CarbineDad:
Originally Posted By tweeter:
LOL, do you actually think that 5th graders LEARN that? Hmm, sarcasm... tweeter, you appear to be a sarcastic Ahole © But then again, it looks like you know that already IBKJ In Before Kieth_J I think Keith could make Stephen Hawking's head explode. Even the SpeakandSpell voicebox thingie would call him Daddy. 

You gotta go there to come back.

As long as I get to pick the 5th grader, sure!



This is GD.
Everyone here is smarter than a 5th grader. Oops, wait....wrong forum. My bad.. 


I'm tempermental. 5% temper, the rest is mental.
FL, USA


Always look out for number one.
Unless someone is slinging shit around. Then look out for number two. 
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