discretization: meaning, definition, pronunciation and examples
LowTechnical/Formal
Quick answer
What does “discretization” mean?
The act of separating or dividing a continuous entity (such as space, time, or a set of values) into distinct, separate parts or intervals.
Audio
Pronunciation
Definition
Meaning and Definition
The act of separating or dividing a continuous entity (such as space, time, or a set of values) into distinct, separate parts or intervals.
In mathematics, engineering, and computer science, the process of approximating continuous functions, models, or data into discrete counterparts. This is often a necessary step for numerical computation or digital processing.
Dialectal Variation
British vs American Usage
Differences
No significant difference in meaning or spelling. Both varieties may occasionally use the alternative spelling 'discretisation' (British English) vs. 'discretization' (American English), but the '-z-' form is predominant in technical literature globally.
Connotations
Purely technical, no cultural connotations.
Frequency
Equally rare in general language but standard within technical domains in both regions.
Grammar
How to Use “discretization” in a Sentence
discretization of [NOUN PHRASE]discretization into [NOUN PHRASE]Vocabulary
Collocations
Examples
Examples of “discretization” in a Sentence
verb
British English
- The first step is to discretise the continuous domain before applying the solver.
- The signal must be discretised for digital analysis.
American English
- The first step is to discretize the continuous domain before applying the solver.
- The signal must be discretized for digital analysis.
adverb
British English
- [No standard adverbial form. 'Discretely' exists but relates to 'discrete', not the process.]
American English
- [No standard adverbial form. 'Discretely' exists but relates to 'discrete', not the process.]
adjective
British English
- The discretised model lost some of the original system's smoothness.
- They used a fine discretised grid.
American English
- The discretized model lost some of the original system's smoothness.
- They used a fine discretized grid.
Usage
Meaning in Context
Business
Not used.
Academic
Common in mathematics, physics, computer science, and engineering papers, specifically in numerical analysis, CFD, FEM, and signal processing.
Everyday
Virtually never used.
Technical
The primary context. Refers to a key step in preparing continuous models for computer simulation or digital signal processing.
Vocabulary
Synonyms of “discretization”
Vocabulary
Antonyms of “discretization”
Watch out
Common Mistakes When Using “discretization”
- Misspelling as 'discretisation' in American contexts (though acceptable in British English).
- Confusing with 'discretion' (prudent judgment).
- Using it in non-technical contexts where simpler words like 'division' or 'breakdown' would suffice.
FAQ
Frequently Asked Questions
Both are correct, with 'discretization' (with a 'z') being the dominant spelling in international technical English. 'Discretisation' (with an 's') follows British English spelling conventions.
They are closely related. 'Digitization' specifically refers to converting analog information into a digital (binary) format. 'Discretization' is the more general mathematical process of making a continuous variable discrete, which is often a prerequisite for digitization.
Conceptually, 'continuization' or moving to a continuous representation. In practice, antonyms are phrases like 'continuous modeling' or 'analog representation'.
It is highly specialized. In everyday contexts, simpler terms like 'breaking into steps', 'sampling', or 'dividing up' would be more appropriate and understandable.
The act of separating or dividing a continuous entity (such as space, time, or a set of values) into distinct, separate parts or intervals.
Discretization is usually technical/formal in register.
Discretization: in British English it is pronounced /dɪˌskriːt.aɪˈzeɪ.ʃən/, and in American English it is pronounced /dɪˌskriː.t̬əˈzeɪ.ʃən/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “[No established idioms]”
Learning
Memory Aids
Mnemonic
Think: 'DIScrete' means separate. 'discretIZATION' is the act of making something into separate, discrete parts.
Conceptual Metaphor
TAKING A CONTINUOUS SMOOTH LINE AND TURNING IT INTO A CONNECT-THE-DOTS PICTURE.
Practice
Quiz
In which field is the term 'discretization' MOST commonly used?