Balls in Normed Vector Spaces
Any normed vector space V with norm |·| is also a metric space, with the metric d(x, y) = |x − y|. In such spaces, every ball Br(p) is a copy of the unit ball B1(0), scaled by r and translated by p.
Read more about this topic: Ball (mathematics)
Famous quotes containing the words balls and/or spaces:
“I count those feathered balls of soot
The moor-hen guides upon the stream,
To silence the envy in my thought;
And turn towards my chamber, caught
In the cold snows of a dream.”
—William Butler Yeats (1865–1939)
“Deep down, the US, with its space, its technological refinement, its bluff good conscience, even in those spaces which it opens up for simulation, is the only remaining primitive society.”
—Jean Baudrillard (b. 1929)