A notation definition, also known as a definition by notation, is a type of mathematical definition that defines a new mathematical object or concept in terms of a notation or symbol. This type of definition is commonly used in mathematics, computer science, and other technical fields.
Notation definitions are often used to introduce new symbols or notations that simplify or clarify mathematical expressions. For example, a notation definition might define a new symbol for a complex mathematical function or operation that is frequently used in a particular context.
Notation definitions can also be used to define new mathematical concepts or structures. In this case, the notation or symbol serves as a convenient shorthand for a set of rules or conditions that define the concept or structure.
Notation definitions are typically introduced in the context of a larger mathematical theory or framework. They are often accompanied by additional mathematical notation and terminology that help to explain the new concept or object being defined.
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