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What is the common sense of mathematics in natural music?
Throughout the year, the chirping of insects comes and goes. Among them, crickets' songs are particularly vigorous, and their songs are also varied. Since ancient times, there has been a proverb in China, "Cricket barks at home and crops blister", which serves as a favorable basis for people to identify the weather and arrange farming. Is there a mathematical secret behind the cricket singing that we don't know?

In fact, the frequency of cricket chirping can be used to calculate the temperature. In fact, as the temperature rises, the frequency of male crickets will increase. By calculating the chirping frequency of crickets, especially the chirping frequency of a species called Snow Tree Cricket (oenapher Fultoni in English, and Polygonatum odoratum in China), the approximate temperature can be calculated. Let's take this tree cricket as an example to calculate:

First of all, we need to find such a tree, cricket, with an interval of 14 seconds, and count the number of times the cricket sings, plus the number of times it gets. This is the current temperature (the conversion formula between Fahrenheit (F) and Celsius (C) is:

) =9(C- 10), where f stands for Fahrenheit and c stands for Celsius.

This phenomenon was first discovered by American physicist and inventor Amos Dolbear in 1897. That year, he published an article called Cricket as a Thermometer. In this paper, he summed up the Durkheim's law of the relationship between temperature and the number of crickets chirping (where z stands for the number of crickets chirping per minute):

Formula 4 for calculating Fahrenheit temperature Formula 4 for calculating Celsius temperature This temperature calculation formula is only valid if it is above 45 degrees Fahrenheit (7.22 degrees Celsius). Below this temperature, crickets begin to move slowly. If the temperature is too high, exceeding 90 degrees Fahrenheit (32.22 degrees Celsius), crickets will greatly reduce the number of songs to save energy.