crunode: meaning, definition, pronunciation and examples
Very LowTechnical/Specialist
Quick answer
What does “crunode” mean?
A point where a curve intersects itself.
Audio
Pronunciation
Definition
Meaning and Definition
A point where a curve intersects itself.
In mathematics, specifically in algebraic geometry, a point on a curve or surface where two distinct branches cross, resulting in the curve intersecting itself at that point.
Dialectal Variation
British vs American Usage
Differences
No significant difference in usage between British and American English. The spelling and meaning are consistent.
Connotations
None beyond the technical mathematical definition.
Frequency
Extremely rare in both varieties, confined to specialist mathematical texts.
Grammar
How to Use “crunode” in a Sentence
The curve [verb] a crunode at (coordinates).A crunode [verb] at the intersection.Vocabulary
Collocations
Examples
Examples of “crunode” in a Sentence
adjective
British English
- The crunodal point was a key feature of the graph.
American English
- The curve's crunodal behaviour was analysed.
Usage
Meaning in Context
Business
Not used.
Academic
Exclusively used in advanced mathematics, particularly algebraic geometry.
Everyday
Virtually never used.
Technical
Core technical term within its narrow field of mathematics.
Vocabulary
Synonyms of “crunode”
Neutral
Weak
Vocabulary
Antonyms of “crunode”
Watch out
Common Mistakes When Using “crunode”
- Using it to describe the intersection of two separate curves.
- Pronouncing it /kraˈnoʊd/.
- Confusing it with 'acnode'.
FAQ
Frequently Asked Questions
No, it is an extremely rare and highly specialised term used almost exclusively in advanced mathematics.
A crunode is a self-intersection point of a *single* curve. A simple intersection involves two distinct curves crossing.
The centre point of a figure-eight (or infinity symbol) shape is a classic example of a crunode.
Yes. In singularity theory, other types include acnodes (isolated points), tacnodes (where two branches are tangent), and cusps.
Crunode is usually technical/specialist in register.
Crunode: in British English it is pronounced /ˈkruːnəʊd/, and in American English it is pronounced /ˈkruːnoʊd/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think: CRUnch + NODE. You crunch two branches together at a node (point). The curve crosses itself in a crunchy fashion.
Conceptual Metaphor
A crossroads on a single looping path.
Practice
Quiz
What is a crunode?