Fractal Theory.pptVIP

Fractal Theory Teacher: the professor of Liu Xiling Producer: Yang Hui Time :2014.08.29 First: the history of the fractal another strange shape: Second :the form of fractal theory Fractal dimension: Normal dimension: one,two,three Mandelbort’s new thinking: Third: the effection of fractal theory 2、the magic of effects in the film 3、develop the figure signals The cell phone , bluetooth ,wireless communication,antenna,and wi-fi. 4、medical development * * Georg Cantor----the first monster Break this line into thirds, erasing the middle Endless repetition---iteration Helge von koch ---the triangle curve Start with an equilateral triangle Each line has a little triangular bump on it A nagging measurement problem : the length of coastline? The length of the coastline depends on how long your yardstick is and how much patience you have. Could something have a dimension somewhere in between ,two and three? (2)Fractal dimension: D= -㏑n/㏑r Self similarity: It takes endless repetition , and that gives rise to one of the defining characteristics of a fractal ,what mathematicians calls self-similarity. “many forms in nature , can be describled mathamatically as fractals—a word ,he invented to define shapes that look jagged and broken.” Using computer to complete a graph Infinite expand a local 1、design clothes Phone’s baseboard The powerful receiver We can analyzed date from thousands of people,the healthy heartbeat, it’s turns out, had his fractal architecture. A signature that one day may help cardiologists spot heart problems sonner. 5、improve the scientific research *