What does A^(⊥) mean?

  • Thread starter mikeph
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  • #1
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I'm looking at a condition in a maths paper that I don't understand, essentially it is:

x ∈ R ⊕ R

R is a set I think, but I'm not sure what the perpendicular symbol means.

Also am I correct in thinking the circled plus means that x must be in either R or R (but not both)?

Thanks
 

Answers and Replies

  • #2
dextercioby
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The upside down capital T means <perpendicular>, both in elementary geometry and in linear algebra (or functional analysis). A to the power T upside dowm is the subset B of M made up of all y in M, such that whatever x from the subset A of M, <x,y> = 0, where (M,<,>) is a scalar product space.
 
  • #3
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I'm looking at a condition in a maths paper that I don't understand, essentially it is:

x ∈ R ⊕ R
It's usually read as "R perp".
 
  • #5
HallsofIvy
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If "R" is the real line, then "R perp" is a line perpendicular to it. Their direct sum is the plane containing the two lines.
 

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