regular sequences
[/ˈreɡjələr ˈsiːkwənsɪz/]
nounpl: regular sequences
sequências regulares
1. In mathematics and algebra, sequences where elements follow a predictable pattern or rule, maintaining consistent intervals or relationships between consecutive terms
The sequence 2, 4, 6, 8, 10 is a regular sequence with a common difference of 2.
A sequência 2, 4, 6, 8, 10 é uma sequência regular com uma diferença comum de 2.
2. In commutative algebra, a sequence of elements in a ring where each element is a non-zero divisor in the quotient ring formed by the preceding elements
Regular sequences are fundamental in homological algebra and commutative ring theory.
Sequências regulares são fundamentais em álgebra homológica e teoria de anéis comutativos.
3. In general usage, any sequence that exhibits consistent, predictable behavior or pattern
The bus arrivals form regular sequences throughout the day.
As chegadas dos ônibus formam sequências regulares ao longo do dia.
This is primarily a technical term used in mathematics and algebra education. It is equally understood and used in both Brazilian Portuguese and Portuguese academic contexts. The term appears frequently in university-level mathematics courses and mathematical publications in both English and Portuguese-speaking countries. There is no cultural variation in usage; it maintains the same meaning across all academic and professional settings.
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