Such sets are countably infinite or countable.
A discrete probability distribution is one where the random variable can only assume a finite, or countably infinite, number of values.
Una distribución de probabilidad discreta es aquella en la que la variable aleatoria solo puede asumir un número finito, o contablemente infinito, de valores.
However, there could be countably many homoclinic orbits connecting one fixed point.
ZF + ACω suffices to prove that the union of countably many countable sets is countable.
ZF + ACω es suficiente para probar que la unión de una cantidad numerable de conjuntos numerables es numerable.
However, some countably infinite sets of nonempty sets can be proven to have a choice function in ZF without any form of the axiom of choice.
Sin embargo, se puede probar que algunos conjuntos infinitos numerables de conjuntos no vacíos tienen una función de elección en ZF sin ninguna forma del axioma de elección.
Any union of countably many countable sets is itself countable.
Teoría de conjuntos Toda unión de numerables conjuntos numerables es asimismo numerable.
Even if B is uncountable, Bessel's inequality guarantees that the expression is well-defined and consists only of countably many nonzero terms.
Incluso si B no es numerable, solo contablemente muchos términos en esta suma serán diferentes a cero, y la expresión está por lo tanto bien definida.
A space is σ-compact if it is the union of countably many compact subsets.
Un espacio es σ-compacto si es la Unión de subconjuntos compactos contablemente muchos.
compact if it is the union of countably many compact subsets. Paracompact.
Un espacio es compacto si es la Unión de subconjuntos compactos contablemente muchos.
There are only countably many finite sequences, so also there are only countably many finite subsets.
A countably infinite set is one that can be enumerated.
The cardinality of a countably infinite set is denoted as aleph-zero.
All countably infinite sets have the same cardinality, aleph-zero.
Todos los conjuntos infinitamente numerables tienen la misma cardinalidad, aleph-cero.