1. pointwise - Adjective
2. pointwise - Adverb
pointwise (not comparable)
(mathematics) Occurring or true for each point of a given set.
pointwise (not comparable)
In a pointwise manner
But this would lose important logical properties of the reals; for example, pointwise < is not a total ordering. Source: Internet
In symbols, U is pointwise finite if and only if, for any x in X, the set : : is finite. Source: Internet
Equipped with the topology of pointwise convergence on A (i. Source: Internet
Function spaces Functions from any fixed set Ω to a field F also form vector spaces, by performing addition and scalar multiplication pointwise. Source: Internet
If we use complex-valued functions, the space L ∞ is a commutative C*-algebra with pointwise multiplication and conjugation. Source: Internet
Indeed, it coincides with the topology of pointwise convergence of linear functionals. Source: Internet