In mathematics, the extended natural numbers is a set which contains the values and (infinity). That is, it is result of adding a maximum element to the natural numbers. Addition and multiplication work as normal for finite values, and are extended by the rules, and for . With addition and multiplication, is a semiring but not a ring, as lacks an additive inverse. The set can be denoted by , or . It is a subset of the extended real number line, which extends the real numbers by adding and .
In mathematics, the extended natural numbers is a set which contains the values and (infinity). That is, it is result of adding a maximum element to the natural numbers. Addition and multiplication work as normal for finite values, and are extended by the rules, and for . With addition and multiplication, is a semiring but not a ring, as lacks an additive inverse. The set can be denoted by , or . It is a subset of the extended real number line, which extends the real numbers by adding and . (en)
In mathematics, the extended natural numbers is a set which contains the values and (infinity). That is, it is result of adding a maximum element to the natural numbers. Addition and multiplication work as normal for finite values, and are extended by the rules, and for . With addition and multiplication, is a semiring but not a ring, as lacks an additive inverse. The set can be denoted by , or . It is a subset of the extended real number line, which extends the real numbers by adding and . (en)
