In mathematics, the wave symbol (~) usually represents a concept about equal to. In the computer programming language, the wave symbol can also represent a bitwise inversion operation, that is, every bit of a binary number is inverted. No matter from what point of view, wave symbols are of great significance.

Wave symbols are also widely used in mathematics to express similarity. For example, when we use the symbol x~y to represent the similarity between two numbers X and Y, the main function of the wave symbol is to tell us that these two numbers are not exactly equal, but they are very close.

Wave symbols can also be used to represent wave line functions, which are very important function types in mathematics and physics. Wave line function is mainly used to describe some stochastic processes, such as financial market fluctuations, weather changes in meteorology and so on. These changes can be modeled by wave line function and the corresponding mathematical prediction model can be obtained.