能有高手帮我翻译一下这段吗?我是新人,谢谢!最好不要机器翻译的哦,谢谢...

发布网友发布时间：2023-12-13 03:45

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热心网友时间：2024-04-08 07:26

Fractal geometry general geometry and the auditorium was generally have integral dimension. For example, the zero-dimensional, one-dimensional line, the two-dimensional surface, the three-dimensional to three-dimensional, as well as four-dimensional space-time. Recently more than 10 years, a new fractal geometry, the space is not necessarily integral dimension, and the existence of a fractal dimension, which is a breakthrough in geometry, a mathematician and natural sciences were aroused great concern. The objective of fractal geometry have many things in nature, is self-similar "level" structure, in ideal circumstances, even with infinite levels. Appropriate enlarged or reduced geometry, the entire structure will not change. Many complex physical phenomena behind this is reflected in the hierarchical structure of fractal geometry. Objective things has its own characteristic length, with appropriate scale of measurement. With a yardstick to measure the Great Wall, too short; E. coli measured with a yardstick, too long. Resulting in the characteristic length. Some things do not feature length, it is necessary to consider many small to large scale (or called scaling). This is called a "scale" problem. If physics of turbulence, turbulence is a common phenomenon in nature, which wind around the small Quiet Room Light Smoke. Jupiter's atmosphere to a huge vortex, are very disordered fluid. Macroscopic fluid movement of energy through large, small and micro scale so many, many degrees in the whirlpool. Finally into molecular-scale movement of hot, a lot of movement on different scales. we must rely on a "scale" to solve the problem, regional turbulence high whirlpool, it is necessary to use fractal geometry. Mathematicians comment (Koch) from a square in the "islands", and always maintain the same area. it is the "coast" into infinite curve, the length has been increased, and tends to infinity. Then you can see that the fractal dimension is the "Koch island," the exact features coastline. that the fractal dimension of the coastline between ranged from one to two. These natural phenomena, particularly physical phenomena are closely related and fractal, if the Galaxy continue if the stars continued distribution It is in the attractor dimension. It fluids in porous media campaigns and the flow model is fractal research. Mathematicians prompted further studies, thus creating a fractal geometry. Computer graphics help people once the door to fractal geometry. The hierarchical structure of this magnificent building with infinite, unlimited nested there every corner of the maze and corridors. Mathematicians and scientists urge depth study. Fractal geometry as fractal geometry : the basic objective is the level of self-similar structure of things. In partial and overall morphology, function, information, time, space and other aspects of the statistical significance of similarity, become self-similarity. For example, a piece of the magnet is the same each and every part of the North and South Poles as a whole, divided indefinitely. and each and every part of the overall magnet with the same magnetic field. Such self-similar structure, and appropriate geometric size enlarged or reduced, the whole structure unchanged. Fractal geometry of the fractal geometry of nature and physics has been applied. If the solution under the microscope into one piece of pollen, it will be seen as an uninterrupted rule Movement (Brownian motion). This is a lot of pollen in the liquid without rules collisions (up Shiyiyi times per second) the average performance of acts. Brown, particle trajectory, from the size of the broken link. Provided there is adequate resolution, we can find that line of thought is, in fact, a lot more small-scale linked to the dogleg. This is a continuous everywhere, but making a derivative of the curve. This is the fractal dimension of particle trajectories Brown 2, which was much higher than the number of one-dimensional topology. In some electrochemical reaction, the solid results near the electrode material to the irregular shape of branches growing outward. Some water pollution, algae in the sticky particles and jelly, constantly grow new deposition. Many have become with the need for everyone shoots like, we can use fractal dimension. There are also greater scale natural fractal object. Crude stem irregular Harbin branch can be set aside each forking…… Harbin continue to be divided into small, at least more than 10 times the level of branches. Fractal geometry can be measured. Hydrodynamic instability in recent years, the two stable optical devices, chemical and other tests to reflect fluctuations, chaotic attractor are actually measured and calculated from the experimental data dimension. Experimental data from the Institute of fractal dimension calculations is a great progress recently. Fractal geometry and physics, biology is becoming a solid content of the research field.