pointwise Definition
considered or occurring point by point; relating to or denoting a mathematical operation that is performed separately on each element of a set of numbers.
Using pointwise: Examples
Take a moment to familiarize yourself with how "pointwise" can be used in various situations through the following examples!
Example
The function is continuous pointwise but not uniformly.
Example
The pointwise product of two functions is defined as the product of their values at each point.
Example
The pointwise convergence of a sequence of functions is a weaker form of convergence than uniform convergence.
pointwise Synonyms and Antonyms
Synonyms for pointwise
- element-wise
- coordinate-wise
- component-wise
Summary: pointwise in Brief
'Pointwise' [point-wahyz] is an adjective used to describe something that is considered or occurring point by point. It is also used in mathematics to denote a mathematical operation that is performed separately on each element of a set of numbers. Examples of its usage include 'The function is continuous pointwise but not uniformly.' and 'The pointwise product of two functions is defined as the product of their values at each point.'
