In 1972, lorenz, one of the founders of chaos and professor at the massachusetts institute of technology in the united states, presented a paper entitled " the butterfly effect " at the 139th meeting of the american society for the development of science, in which the professor made an amazing statement: “a butterfly in the amazon jungle in brazil will lightly slap its wings and set a tornado in texas, united states. "the butterfly effect is so powerful? Or is this professor joking?
In fact, what the professor called the "butterfly effect" could mathematically be interpreted as the "mixed theory"。
What is chaos theory? Confusion is a “tangible” disorder, but, in fact, a specific movement pattern of deep-seated regularity, characterized by extreme sensitivity to the initial conditions of the system, and any minor change in the system at its initial stage will change dramatically later in the system, and we can do an experiment to explain the theory. As shown in the figure, on a long stripe of about 10 cm, approximately 3 cm from one end, a thin steel bead is embedded. Double the noodle and fold it in two. After 100 such operations, the marble leaves its original position and reaches a new position. Repeating such experiments over and over again, you will find that although the initial position of small steel beads is almost identical, the results vary considerably after 100 folds. This means that as long as there is a slight difference in the initial location, the final location is completely different. As a result, a definite course of action was followed by almost random results. A pattern like this, in math, is chaos theory。
In other words, a small change in the initial amount, which is repeated over and over again, results are dramatically amplified and thus radically altered. It's like starting to say that a butterfly slaps a wing and creates a tornado。
In fact, the confusion effect is everywhere, permeating daily life, in various professions and in various fields, almost “everytime”. A popular rumour spread in the west: “a nail lost and a hoof broken; a hoof broken and a horse broken: a horse broken and a knight wounded; a knight wounded and a battle lost; a battle lost and an empire lost.” as you see, the loss of a small nail has brought about the demise of the entire empire, a result no less than the “butterfly effect” of a hurricane caused by the fanning of the butterfly wings. In the course of the long-term weather forecasting experiments conducted by the scientist lorenz, mentioned at the beginning of this paper, it was found that the weather conditions after the few months indicated in the results of the experiments, which were merely rounded to the nearest decimal number, were soared that there were no clouds and lightning. This results suggest that even today, when temperatures change by one-hundred million degrees because of your sneezing, it is possible to bring about a hurricane in a few months. Thus, long-term weather forecasts are virtually impossible at present。
The ancient teachings are “untouchable, fallacious” and have a similar effect to the butterfly effect, both of which caution that special attention should be paid to initial conditions and that small differences should be treated with a high degree of sensitivity and vigilance. The development of things tends to be highly sensitive to initial conditions, with minimal deviations from initial conditions, leading to significant differences in results, i. E. The evolution of things from volume to quality, and small differences at the input end extend to the output end, with significant changes。
