Anyone around familiar with set theory and isomorphisms? I'd like to check a result.
Or linear algebra, for that matter? I don't remember it all that well.
You know, with the exception of one deadly and unpredictable midget, this girl is the smallest cargo I've ever had to transport. Yet by far the most troublesome. Does that seem right to you?
Early ,'Objects In Space'
Natter 39 and Holding
Off-topic discussion. Wanna talk about corsets, duct tape, or physics? This is the place. Detailed discussion of any current-season TV must be whitefonted.
Emily - Sep 25, 2005 10:21:27 am PDT #774 of 10002
"In the equation E = mc⬧, c⬧ is a pretty big honking number." - Scola
Hil R. - Sep 25, 2005 10:34:22 am PDT #775 of 10002
Sometimes I think I might just move up to Vermont, open a bookstore or a vegan restaurant. Adam Schlesinger, z''l
Emily, I'm here, for another few minutes at least.
Emily - Sep 25, 2005 10:41:14 am PDT #776 of 10002
"In the equation E = mc⬧, c⬧ is a pretty big honking number." - Scola
Ooh! Excellent! So tell me, is phi(A)=det(A) an isomorphism from the structure (2x2 matrices, +) to the structure (Reals, +)? It seems to me like it's not one-to-one, but I did want to be sure.
I will have other questions, mwahahah.
Hil R. - Sep 25, 2005 10:44:02 am PDT #777 of 10002
Sometimes I think I might just move up to Vermont, open a bookstore or a vegan restaurant. Adam Schlesinger, z''l
So tell me, is phi(A)=det(A) an isomorphism from the structure (2x2 matrices, +) to the structure (Reals, +)? It seems to me like it's not one-to-one, but I did want to be sure.
It's not an isomorphism. You're right, it's not one-to-one; as a trivial example, any matrix where all four entries are the same will map to 0.
Ginger - Sep 25, 2005 10:50:37 am PDT #778 of 10002
"It didn't taste good. It tasted soooo horrible. It tasted like....a vodka martini." - Matilda
Lily is so beautiful. She often appears to have an air of slumming royalty, amused at the antics of the little people.
Lee - Sep 25, 2005 10:55:58 am PDT #779 of 10002
The feeling you get when your brain finally lets your heart get in its pants.
I have an odd urge to make snickerdoodles, but am too lazy to look up a recipe and figure out if I have all the ingredients.
Emily - Sep 25, 2005 11:04:07 am PDT #780 of 10002
"In the equation E = mc⬧, c⬧ is a pretty big honking number." - Scola
Diagonal matrices are invertible, right?
Hil R. - Sep 25, 2005 11:05:08 am PDT #781 of 10002
Sometimes I think I might just move up to Vermont, open a bookstore or a vegan restaurant. Adam Schlesinger, z''l
Diagonal matrices are invertible, right?
Right.
Theodosia - Sep 25, 2005 11:27:38 am PDT #782 of 10002
'we all walk this earth feeling we are frauds. The trick is to be grateful and hope the caper doesn't end any time soon"
I need somebody to take me out to the store, yet I am too lazy to actually call anybody with a car. Besides, they might turn me down. So I may well die of hunger before long.
Lee - Sep 25, 2005 11:31:30 am PDT #783 of 10002
The feeling you get when your brain finally lets your heart get in its pants.
I'd take you, Theodosia, if I weren't dedicated to being slug like.