extreme point
Học thuậtThân thiện
Definition
Noun: The outermost or most distant location on an object or within an area; the terminal point or limit.
Usage
This term is used to describe the point that is at the greatest distance from the center or the most remote part of something. It often refers to physical locations but can also be applied in abstract contexts to denote the furthest limit of a condition or state.
Examples
- The climbers finally reached the extreme point of the peninsula.
- In the debate, his argument represented the extreme point of that political ideology.
- The design requires a sensor at each extreme point of the structure.
Advanced Usage
- In mathematics/geometry: Often used to denote a vertex or a point on the boundary of a convex set that cannot be expressed as a convex combination of other points in the set.
- The algorithm identifies the extreme points of the feasible region.
- In data analysis: Can refer to an outlier or a data point that lies far outside the normal range.
- The statistician flagged the value as an extreme point requiring further investigation.
Variants and Related Words
- Extremity (noun): The furthest point or limit of something. (e.g., )
- Terminus (noun): A final point in space or time; an end. (e.g., )
- Apex (noun): The top or highest part of something, especially one forming a point. (e.g., )
Synonyms
- Endpoint
- Limit
- Boundary
- Periphery
- Ultimate point
Antonyms
- Center
- Middle
- Core
- Heart
- Midpoint
Related Phrases
- Point of no return: A critical point in an undertaking where one becomes committed to a course of action.
- Passing this marker is the point of no return for the mission.
- Breaking point: The moment of greatest strain at which someone or something gives way.
- The stress pushed him to his breaking point.
Noun
- the point located farthest from the middle of something