# closed ball

## closed ball

[¦klōzd ′bȯl]
(mathematics)
In a metric space, a closed set about a point x which consists of all points that are equal to or less than a fixed distance from x.
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Let BX denote the closed unit ball of X and B(x, r) denote the closed ball with center at x [member of] X and radius r > 0.
x] = {x' [member of] PV | B(x, x') [less than or equal to] 0} is a closed ball (spherical cap) on [?
Then, for each closed ball X [subset] E, there exists some (strongly) continuous affine operator [PHI] : E [right arrow] E such that, for every x [member of] X, one has
Let (E, <*, *>) be a Hilbert space, let K [subset] E be a closed ball and let [PHI] : E [right arrow] E be an affine (not necessarily continuous) operator such that
Let us assume that for every closed ball B [subset] X there exists N with B [subset or equal to] [X.
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] define as above, and B be any closed ball in [R.
It seems to me now that the `centre,' rather than being a closed ball encircling white, heterosexual, middle-class feminists, is really composed of only the people who refuse to hear and acknowledge anything but voices similar to theirs.
As for the rest of topologies, combination of the following items imply any closed ball [B(H).
Indeed, if Z had a nonempty interior, then it would exist a closed ball B, such that B [subset] Z, which implies
1) Let b(H) be the set of all closed balls in B(H).
Relatively weakly open sets in closed balls of Banach spaces, and the centralizer.

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