1. Clarity: Mathematical symbols should be able to clearly express mathematical concepts or relationships to avoid ambiguity. When using symbols, it is necessary to ensure that their meanings are accurate and follow the unified symbol usage norms.

2. Logical rigor: the use of mathematical symbols should conform to the logical rules and reasoning process of mathematics. The combination and transformation between symbols should be consistent and derivable, and there can be no contradiction or wrong reasoning.

3. Concise and clear: In the use of mathematical symbols, try to use concise and clear symbols instead of lengthy text descriptions. Through the rational use of symbols, the process of mathematical expression and proof can be simplified and the efficiency and accuracy of mathematical expression can be improved.

4. Standardization: The use of mathematical symbols should follow certain norms and standards to ensure that mathematicians from different regions and disciplines can understand and communicate. There is a set of unified specifications for commonly used mathematical symbols in the world, such as Greek letters and summation symbols, which need to be familiar with and used correctly.

5. Pay attention to details: When using mathematical symbols, you need to pay attention to some details. For example, the case of symbols, the position of upper and lower marks, and the pairing of brackets need to be carefully checked to avoid mistakes. In addition, we need to pay attention to the writing specifications and format requirements of symbols to keep them clean and readable.

In short, the use of mathematical symbols needs to pay attention to clarity, logical rigor, conciseness, standardization and unity, and pay attention to details to ensure the accuracy and effectiveness of mathematical expression.