To be precise, Gann theory is an analysis method and market measurement method, which is applied to the stock and futures markets, mainly to the stock market. Gann Theory is a unique analysis method and market measurement theory established by the famous investment guru William D. Gann through the comprehensive application of mathematics, geometry, religion, and astronomy, combined with his outstanding achievements in the stock and futures markets. Achievements and valuable experiences are proposed, including Gann's time rule, Gann's price rule and Gann's line, etc. Gann's theory believes that there are also natural rules in the universe in the stock and futures markets. The price trend of the market is not chaotic, but can be predicted through mathematical methods. Its essence is to establish a strict trading order in the seemingly disorderly market, which can be used to discover when the price will retrace and what price it will retrace to. Relevant books include "Gann Time Cycle", "Gann Theory and Chinese Calendar", "Gann Theory and Practice", etc.

The wave theory is an American securities analyst Ralph Nelson Elliott (R.N. Elliott) who used the Dow Jones Industrial Average (DJIA) as a research tool to discover the ever-changing The structural pattern of stock prices reflects the beauty of natural harmony. Ralph Nelson Elliott proposed a set of related market analysis theories based on this discovery, refining 13 patterns (Patte·rn) or waves (Waves) of the market. These patterns appear repeatedly in the market, but the time intervals and amplitudes are not necessarily reproducible. He then discovered that these structural patterns could be connected to form larger patterns of the same type. In this way, a series of authoritative deductive rules are proposed to explain the behavior of the market, with special emphasis on the predictive value of the wave principle. This is the famous Elliott Wave Theory.

Elliott Wave Theory is a theory of stock technical analysis. It is believed that market trends continue to repeat a pattern, with each cycle consisting of 5 rising waves and 3 falling waves. The Elliott Wave Theory divides trends of different scales into nine categories. The longest grand supercycle is a super-large cycle spanning 200 years, while subminuette only covers trends within a few hours. . But regardless of the size of the trend, the fact that each cycle consists of 8 waves remains the same.

The premise of this theory is: when the stock price follows the main trend, it fluctuates in the order of five waves; when it goes against the main trend, it fluctuates in the order of three waves. The long wave can last for more than 100 years, and the period of the secondary wave is quite short. Relevant books include "Elliot Wave Theory: The Key to Market Behavior", "The Complete Works of Elliott Wave Theory", "Profiting from Elliott Wave Theory", etc.

I hope my answer will be helpful to you, and finally I wish you great success in the stock and futures markets.