Mathematical symbol question...
- Thread starter Orsorum
- Start date
One definiton is a "direct sum"... but I have no idea what that is. It's even more confusing that the context in which it's used is preceeding another expression (not between two expressions).
A direct sum is used as an operator on two (or more) sets.
If we have set A where (a1, a2, a3, ..., an) are members of A and set B where (b1, b2, b3, ... bm) are members of B
Then A (+) B is the set of all numbers (a1+b1, a2+b1, ... an+b1, a1+b2 , .... an+bm)
(+) used to represent direct sum
Hope that makes sense!
If we have set A where (a1, a2, a3, ..., an) are members of A and set B where (b1, b2, b3, ... bm) are members of B
Then A (+) B is the set of all numbers (a1+b1, a2+b1, ... an+b1, a1+b2 , .... an+bm)
(+) used to represent direct sum
Hope that makes sense!
What's the name of the mathematical letter/symbol that looks like a lira symbol but without the two horizontal bars in the middle?
Originally posted by: gopunk
Originally posted by: Zakath15
Bump...
what is the lira symbol?
Nevermind, it's an L in Langrangian notation (or something like that)... I'll post the math font name when I get back up to my room.
what subject is that in? that L is used to indicate a Laplace transform in some cases... but I have no clue what the statemement you posted means
Is this from some kind of algebra course (Banach Spaces, Tensor Products)? I'm not familiar with it -- never went that high in my studies...
This is an area of mathematics called noncommutative geometry. It's somehow related to linear algebra... damned if I know yet.
Originally posted by: gopunk
ask your GD prof
I'm going to, tomorrow at 3. It's be nice to surprise him with some foreknowledge, but hey.
well it doesn't look like it'd be an exclusive or. that symbol would only appear between two variables. But then again, if that other symbol is for the laplace transform, it would be in the same field as an XOR
"This is called the twisted homogeneous coordinate ring of X and is defined as follows: Given an automorphism sigma of X and an invertible sheaf L, the associated twisted homogeneous coordinate ring is defined to be the ring (as in the link).
I'm still just as clueless...
BTW, non-commutative means that BA != AB, which is the case in linear algebra... though you're probably referring to some deeper connection
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