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What exactly does the butterfly effect mean, and how amazing is this effect?

The butterfly effect is a concept in chaos theory. It is specifically expounded that

a butterfly in the tropical rain forest of the Amazon River basin in South America can cause a tornado in Texas in two weeks after occasionally flapping its wings.

The explanation for the butterfly effect is that

the movement of the butterfly flapping its wings causes the air system around it to change and produces a weak airflow, which in turn causes the surrounding air or other systems to change accordingly, thus causing a chain reaction and eventually leading to great changes in other systems.

It is a metaphor in chaos, which mainly describes that a small change in initial conditions will cause a series of changes, and ultimately produce unimaginable results. Impact in economics

A case of mad cow disease in the United States is a typical butterfly effect in economics. In 2113, the American economy suffered a blow? Crazy cow? The impact: first, the beef industry has caused huge losses, while reducing more than one million jobs; Followed by the main feed for cattle? Corn and soybean industries are affected; In the end, American residents questioned the safety of domestic beef products, and the United States lost the trust of consumers. The influence in language

There is also a typical case of the application of the butterfly effect in linguistics: People's Daily once published an article entitled "Jiangsu is awesome?" A strong cultural province? Because it has strong authority and influence, and with the spread of the Internet, more and more people use it? Awesome? This word means helpful, useful and awesome. Because it was used by too many people, it was finally included in the modern Chinese dictionary. The influence in mathematics

As an undergraduate majoring in mathematics, many courses will talk about the concept of error propagation and accumulation. As the name implies, in the process of solving the problem, the conditions or data at the initial moment have a little deviation. After continuous calculation, each step of calculation will make the error more obvious, which will eventually lead to great differences in the results of the problem. The ill-conditioned sparse matrix of equations can be understood in this way.

From the above explanation, we can know that the butterfly effect or chaos does not exist independently and accidentally, but it is universal, that is to say,

everything is chaotic.