extreme point
noun
Simple meaning
A point in a convex set which does not lie in any open line segment joining two points in the set.
Pronunciation
Say it like this:
ihkstreempoyntSay the bold part a little louder.
IPA pronunciation (US)
ɪkstˈɹimˈpɔɪnt
This word is pronounced essentially the same in American and British English, so one transcription covers both.
IPA (International Phonetic Alphabet) is a standard way of writing speech sounds.
Definition
Everyday modern meanings first, grouped by part of speech.
noun
mathematics
A point in a convex set which does not lie in any open line segment joining two points in the set.
The point located farthest from the middle of something
A point that is physically located farthest in the direction of the edge of something.
mathematics
The maximum or minimum of a function.
A standpoint that goes farthest in some dimension or on some criterion.
Word Aura™
How this word commonly comes across.
Aura for this meaning
This meaning: A point in a convex set which does not lie in any open line segment joining two points in the set.
Used this way, extreme point is a specialist word that usually carries little praise or criticism of its own. This is a mathematical use: it is defined precisely and belongs to working with figures and calculations rather than to ordinary conversation.
- Emotional tone
- Neutral
- Formality
- Specialist/technical
- Intensity
- Not strongly marked
- How common
- Specialized
- Connotation
- Clinical and technical
- Usage feel
- Technical and specialized
Where it naturally appears
- Mathematics
- Geometry
- Academic writing
- Education/classroom
Usage note
In general conversation this sense usually needs explaining — outside its field, people reach for a plainer word.
Word Aura describes common impressions, not a measurement. Tone changes with sentence, speaker, relationship and situation.
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Dictionary data from Wiktionary via the Free Dictionary API. Simple meanings, combinations and word intelligence are built from verified reference data, no AI is used to load this page.