TeXipedia

natnums

Represents the set of natural numbers in mathematical notation, commonly used in number theory and discrete mathematics.

Overview

Essential in mathematical contexts where counting numbers are needed, particularly in proofs, set theory, and algebraic expressions.

  • Frequently used in combinatorics and elementary number theory
  • Appears in mathematical induction proofs
  • Common in discrete mathematics when working with sequences and series
  • Often paired with other number set symbols in set-theoretic expressions

Examples

Defining a set containing natural numbers.

A={x∈N:x<10}A = \{x \in \natnums : x < 10\} 
A = \{x \in \natnums : x < 10\}

Specifying the domain in a function definition.

f:N→N,f(n)=2n+1f: \natnums \to \natnums, f(n) = 2n + 1 
f: \natnums \to \natnums, f(n) = 2n + 1

Using natural numbers in a mathematical statement.

∀n∈N,n2≥n\forall n \in \natnums, n^2 \geq n 
\forall n \in \natnums, n^2 \geq n