canonical representation

[/kəˈnɒnɪkəl ˌreprɪˈzenˈteɪʃən/]
nounpl: canonical representations
representação canônica
1. A standardized or standard form of presenting or expressing something, particularly in mathematics, computer science, or logic, where there is one preferred or most reduced form
The canonical representation of a complex number is a + bi, where a and b are real numbers.
A representação canônica de um número complexo é a + bi, onde a e b são números reais.
2. In computer science, a unique, standardized way of encoding or storing data to ensure consistency and avoid redundancy
The database uses a canonical representation to eliminate duplicate entries.
O banco de dados usa uma representação canônica para eliminar entradas duplicadas.
3. In logic and formal systems, the simplest or most fundamental form of an expression or statement
The canonical representation of the formula makes it easier to analyze its logical structure.
A representação canônica da fórmula facilita a análise de sua estrutura lógica.
This is primarily a technical and academic term used in mathematics, computer science, and formal logic. It is widely recognized and used in educational and professional settings in both Brazil and Portugal, particularly in engineering, computer science, and mathematical disciplines. The term has no significant regional variation beyond standard spelling differences between Brazilian and European Portuguese.
Synonyms / Sinônimos
standard formnormal formcanonical formreduced formstandard representation
Antonyms / Antônimos
non-standard representationalternative representationnon-canonical form

Regional Variations

General Brazilian Portuguese
representação canônica
Standard technical term used in mathematics and computer science
Portugal
representação canónica
Uses Portuguese spelling with 'c' instead of 'ô'; same meaning and usage
Academic/Technical
forma canônica
Alternative phrasing sometimes used interchangeably in technical contexts

Related Words

canonicalnormalizationstandardizationnormal form theoremdata structureformal system

Related Idioms & Phrases

in canonical form
reduce to canonical representation
convert to canonical form
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