As A Vector Space
The real line is a vector space over the field R of real numbers (that is, over itself) of dimension 1. It has a standard inner product, making it a Euclidean space. (The inner product is simply ordinary multiplication of real numbers.) The standard norm on R is simply the absolute value function.
Read more about this topic: Real Line
Famous quotes containing the word space:
“When my body leaves me
Im lonesome for it.
but body
goes away to I dont know where
and its lonesome to drift
above the space it
fills when its here.”
—Denise Levertov (b. 1923)
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