POINTWISE Meaning and
Definition
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Pointwise is an adjective that refers to the evaluation or consideration of specific points or individual elements within a larger set or structure. It describes the process of examining or analyzing each point separately, without considering the overall context or pattern. Pointwise analysis involves focusing on the detailed characteristics or properties of individual points, rather than on the collective or global aspects of a system.
In mathematics, pointwise is often used to describe the behavior or properties of functions. When considering a function pointwise, it means examining its behavior at each point in its domain, rather than on an entire interval or region. This allows for a more detailed understanding of the function's properties and behavior at specific locations. Pointwise convergence, for example, is a concept in mathematical analysis that focuses on the convergence of functions at each point in their domain, rather than globally.
In a broader sense, pointwise can also describe a systematic approach or method that focuses on addressing each specific issue or point of concern individually, without taking into account the broader context or overarching theme. This can be seen in various fields such as problem-solving, decision-making, or project management, where a pointwise approach involves breaking down complex problems into smaller components and addressing them one by one.
Overall, pointwise refers to a detailed, focused, and individualized analysis or consideration of specific points, either within a mathematical framework or in a broader problem-solving context.
Common Misspellings for POINTWISE
- oointwise
- lointwise
- 0ointwise
- piintwise
- pkintwise
- plintwise
- ppintwise
- p0intwise
- p9intwise
- pountwise
- pojntwise
- pokntwise
- poontwise
- po9ntwise
- po8ntwise
- poibtwise
- poimtwise
- poijtwise
- poihtwise
- poinrwise
Etymology of POINTWISE
The word "pointwise" is formed by combining the word "point" with the suffix "-wise".
The term "point" dates back to Old French "point" and Latin "punctum", both meaning "a small mark or dot". It evolved through Middle English to its current usage, representing a specific location or position in space or time.
The suffix "-wise", derived from Old English "-wisan", means "in the manner or direction of". It is used to form adverbs indicating the manner in which something is done or the direction it takes.
Therefore, "pointwise" combines these elements to describe something done or evaluated individually at each point or location, often used in mathematics or analysis to indicate operations or comparisons made separately at each point of a set or space.
