When eating out in summer, flies often come unsyned. Hitting a fly is a technical job, because the flight path of the fly is so strange that it is difficult for humans to find the right head with only their hands. So here’s the question, why are flies so hard to beat?
Flying around actually contains mathematical principles.
What you may not know is that flies fly like this, but they actually apply a powerful mathematical principle that makes their flight paths elusive and avoids being hit. This mathematical principle is called Levi’s Flight. Levi’s flight is a random walk, which means that its trajectory cannot be accurately predicted, just as ghostly as a fly’s. Apparently, Levi’s flying can help flies escape predators and humans who want to knock their small heads.
You may have learned in high school that some tiny particles do Brown’s movements. Although the Brown movement is also a random walk, Levi’s flight and Brown’s movement are different. One characteristic of Brown’s movement is that the distance of each movement is concentrated in one area. But in Levi’s flight, most of the movement distance is very short, but some of the movement distance is very long. The different nature of Levi’s flight and Brown’s movement directly led to Levi’s flying because it was more efficient than Brown’s. With the same number of steps or distances, Levy’s flight displacement is much larger than Brown’s and can explore more space. This is critical for creatures that need to fight wild in uncharted territory. Sure enough, the French mathematician Paul Pierre Levy, who discovered Levy’s flight, first discovered that many of life’s random movements belonged to Levi’s flight, not to molecular Brown movements.
Everything in the world has the characteristics of Levi’s flight.
In 2008, a team of researchers from the United Kingdom and the United States published a study in Nature that brought trackers to 55 different marine predators in the Atlantic and Pacific Oceans, including silk sharks, swordfish, blue gunfish, yellowfin tuna, turtles and penguins, to track their movements over a 5,700-day life. After analyzing 12 million of their movements, the researchers found that most marine predators had a preference for Levi’s flying when food was scarce. In addition, planktoes, termites, bumbos, birds, primates, etc. have similar patterns in their foraging routes, and Levi’s flight seems to be a common rule for living organisms in resource-scarce environments.
Not only wild animals, but many natural phenomena are characterized by Levi’s flight. For example, when a tap drips, the time difference between two droplets; the gap between two beatings of a healthy heart; and even the stock market moves on Levi’s flight. Levi’s flight was even used to study outbreaks of epidemics.
In 1997, programmer Hank Eskin built a website called wheresgeorge.com because he wanted to know where all the money had gone. Users can track the “life history” of the dollar in their hands by entering information such as their local zip code and banknote serial number on the website. Eskin made the site just for fun, but later, Dek Brookman, a physicist at Humboldt University in Berlin, Germany, and colleagues noticed it while studying infectious diseases. They thought the route of transmission of infectious diseases was similar to the circulation of paper money, so they called the site’s data for analysis. After analyzing the trajectory of 460,000 notes, they confirmed their guess that the spread of infectious diseases, like the circulation of paper money, was consistent with the characteristics of Levy’s flight. They published the study in the 2006 issue of Nature. Brookman’s findings contradict the prevailing epidemiological theories of the time, but Levi’s flight was better at predicting the spread of diseases, such as SARS, than conventional theories, so many epidemiological models are now using Levi’s to predict the spread of disease.
Finally, don’t assume that human behavior can escape the domination of Levi’s flight. The trajectory of humans when traveling and shopping also belongs to Levi’s flight. I didn’t expect that the blood-stained hand-thumping party and the flying flies had the same thing.