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The symbol emathbbN is a LaTeX command used to represent the set of natural numbers. In mathematics, the natural numbers are typically defined as the set of positive integers, {1, 2, 3, ...}. However, in some contexts, particularly in set theory and computer science, the set of natural numbers is defined to include zero, {0, 1, 2, 3, ...}. The emathbbN command is part of the amsmath package in LaTeX, which provides enhanced features for mathematical typesetting. When this command is used in a LaTeX document, it renders as a blackboard bold 'N', which is a common convention for denoting the set of natural numbers. The blackboard bold style is achieved by using a double-struck font, giving the appearance of the letter being written on a blackboard. This specific notation helps to distinguish the set of natural numbers from other mathematical objects or variables that might be represented by the letter 'n'. The precise definition of natural numbers (whether it includes zero or not) can vary depending on the author and the specific field of mathematics, but the emathbbN symbol is widely understood to refer to this fundamental set.