1. General. One of the purposes of learning mathematics is to explain the world in concise and basic language as much as possible. Mathematics is not only the sum of facts and methods, but also the language used to describe facts and methods in various fields of scientific and practical activities.

2. simple. Mathematical language has obvious conciseness. It uses as few linguistic symbols as possible to express the most complicated formal relations. It is much simpler to express a mathematical law in mathematical language than in natural language, such as Pythagoras theorem, which needs to be expressed in natural language as a long paragraph, but it is simple and clear in mathematical language. Mathematical language greatly shortens the length of language expression and makes narrative, calculation and reasoning clearer.

3. accuracy. Natural language is ambiguous and ambiguous, while mathematics needs accurate and clear language. Each symbol and formula can only have one meaning. After a mathematical symbol is determined to express one meaning, it generally does not express other meanings. There are few cases in which ambiguity may occur in mathematical language. For example, the symbol "△" representing a triangle in geometry is the same as the discriminant symbol of the root of quadratic equation in algebra, but even so, their exact meanings can still be judged from the context, and there will be no confusion, so that they can be clearly distinguished.