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Ball   (English)

Definition (keystage 2)

Another word for a sphere; sometimes used more loosely to mean any fairly round solid shape.

Definition (undergraduate level)

A subset of a normed vector space V of the form
BR(z) = { ζ | |z− ζ| < R }
or
~
BR
 
(z) = { ζ | |z− ζ| ≤ R }.
where R ∈ R and z ∈ V . These are referred to as open and closed balls respectively. Often V=C.

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