For example, the form of single sentence is often used. Its format is mostly "×××××× (a concept) is ××××××× (a generic concept)", such as: an irrational number (a concept) is an infinite decimal (a generic concept) that does not cycle (an essential feature); Or "××××××", for example, an infinite but acyclic decimal is called an irrational number.
The difference between definition and interpretation;
The definition requires completeness, that is, the object of the definition should be equal to the extension of the definition, which completely reveals the whole connotation of the concept from one aspect; However, the explanation does not require completeness, as long as part of the connotation of the concept is revealed, and the object of explanation and the extension of explanation are not necessarily equal.
A word is the definition of the smallest language unit that can be used independently. The connotation and extension of subject and object are exactly the same and can be reversed. That is to say, "the smallest language unit that can be used independently is a word" is also possible. But "uranium is a kind of silver metal" is an interpretation, and its connotation and extension are not equal. The extension of "uranium" is smaller than that of "silver metal", so the subject and object can't be conversed, that is, "silver metal is uranium".
Annotations can be used not only to explain concepts, theorems and laws, but also to explain the nature, characteristics, functions and reasons of things or things. Although the language of interpretation is not as strict as the definition, it must be concise, accurate and easy to understand. For example, in the article "Overall Planning Law", the author uses an explanatory method to interpret it, rather than defining the overall planning law: "Overall Planning Law is a mathematical method to arrange the work process."