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Mathematical symbol question...

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!
 
Originally posted by: Haircut
A direct sum is used to sum 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!
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Yeah, 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
Originally posted by: Zakath15
What's the name of the mathematical letter/symbol that looks like a lira symbol but without the two horizontal bars in the middle?
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Bump...😱
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what is the lira symbol?
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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.
 
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...
 
Somebody get this guy a book on obscure mathematical symbols for Groundhog Day... 😛

(Sorry, I can't help.. the last time I did calculus was some 14 years ago..)
 
Originally posted by: StormRider
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...
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This is an area of mathematics called noncommutative geometry. It's somehow related to linear algebra... damned if I know yet.
 
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
 
Originally posted by: RaynorWolfcastle
Originally posted by: Zakath15
In a statement like this one, what does it mean?
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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
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"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).
 
Originally posted by: Zakath15
Originally posted by: RaynorWolfcastle
Originally posted by: Zakath15
In a statement like this one, what does it mean?
Click to expand...

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
Click to expand...

"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).
Click to expand...

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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