1. A sequence of integers that count the number of partitions of a finite set, named after mathematician Eric Temple Bell
The first few Bell numbers are 1, 1, 2, 5, 15, 52, 203, and so on.
Os primeiros números de Bell são 1, 1, 2, 5, 15, 52, 203, e assim por diante.
2. In combinatorics, the nth Bell number represents the total number of ways to partition a set of n elements
Bell numbers are used extensively in counting problems in combinatorics.
Os números de Bell são usados extensivamente em problemas de contagem em combinatória.
3. Numbers that appear in the Bell triangle, a mathematical array used to compute Bell numbers
The Bell triangle provides an efficient method for calculating Bell numbers.
O triângulo de Bell fornece um método eficiente para calcular números de Bell.
Bell numbers are primarily used in academic and mathematical contexts. Named after Scottish-born American mathematician Eric Temple Bell (1883-1960), these numbers are fundamental to combinatorics and appear frequently in advanced mathematics courses. The term is used identically in both Brazilian Portuguese and European Portuguese academic settings, reflecting the universal nature of mathematical terminology.
Regional Variations
General Brazilian
números de Bell
Standard mathematical terminology used in Brazilian universities and academic contexts
Portugal
números de Bell
Same terminology used in Portuguese academic and mathematical contexts
International Mathematics
números de Bell
Universal term in mathematical literature across Portuguese-speaking countries