fixed point: meaning, definition, pronunciation and examples
LowTechnical/Formal
Quick answer
What does “fixed point” mean?
A specific value, position, or state that does not change within a given system or context.
Audio
Pronunciation
Definition
Meaning and Definition
A specific value, position, or state that does not change within a given system or context; a point of stability or reference.
In mathematics, a value that is unchanged by a function or transformation. In computing, a numerical representation with a set number of digits after the decimal point. More broadly, any established, unchanging element within a process or system.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or usage. Spelling of related terms may differ (e.g., analyse/analyze).
Connotations
Neutral and technical in both varieties.
Frequency
Equally low-frequency in specialist contexts in both BrE and AmE.
Grammar
How to Use “fixed point” in a Sentence
The [NOUN] has a fixed point at [VALUE].[FUNCTION] maps the fixed point to itself.[SUBJECT] is a fixed point for [PROCESS].Vocabulary
Collocations
Examples
Examples of “fixed point” in a Sentence
verb
British English
- The algorithm is designed to **fixed-point** on the solution.
- We need to **fixed-point iterate** to find the root.
American English
- The function will **fixed-point** after several iterations.
- The system is **fixed-pointing** on an equilibrium.
adjective
British English
- We used a **fixed-point** representation for the financial data.
- The **fixed-point** theorem is a key result.
American English
- The microcontroller uses **fixed-point** arithmetic.
- He proved a **fixed-point** property for the mapping.
Usage
Meaning in Context
Business
Rarely used, except metaphorically for a stable element in a business model.
Academic
Common in mathematics, computer science, physics, and engineering literature.
Everyday
Virtually never used in everyday conversation.
Technical
The primary domain. Has precise, formal definitions in mathematics (e.g., Brouwer fixed-point theorem) and computing (fixed-point vs. floating-point representation).
Vocabulary
Synonyms of “fixed point”
Strong
Weak
Vocabulary
Antonyms of “fixed point”
Watch out
Common Mistakes When Using “fixed point”
- Using 'fixed point' in everyday language where 'fixed location' or 'meeting point' is meant.
- Confusing 'fixed point' (computing) with 'floating point'.
FAQ
Frequently Asked Questions
It is a two-word open compound noun, similar to 'high school' or 'coffee table'.
In computing, 'fixed point' means the decimal point is in a fixed position in the number's representation, limiting range but simplifying operations. 'Floating point' allows the decimal point to 'float', enabling a wider range of values but with more complex hardware.
Yes, but usually as a metaphor. For example, 'Amid the chaos of the merger, her leadership was a fixed point for the team.'
Often a state of equilibrium where a system does not evolve, or a specific reference point (like a temperature standard such as the freezing point of water) used for calibration.
A specific value, position, or state that does not change within a given system or context.
Fixed point is usually technical/formal in register.
Fixed point: in British English it is pronounced /ˌfɪkst ˈpɔɪnt/, and in American English it is pronounced /ˌfɪkst ˈpɔɪnt/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Imagine a **point** on a map that is literally nailed down (**fixed**) and cannot move, no matter what.
Conceptual Metaphor
STABILITY IS IMMOBILITY; A SYSTEM IS A SPACE (with fixed points as landmarks).
Practice
Quiz
In which field is the term 'fixed point' LEAST likely to be used?