Newton Fractals Group N0:7 Reenu Rani Vivek Rathee 56113838 55142176 Ice-3.

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Presentation transcript:

Newton Fractals Group N0:7 Reenu Rani Vivek Rathee Ice-3

 Derived from Latin word Fractus.  A shape that appears self- similar on multiple spatial scales.  Any piece of it looks like the whole after a change of scale.  Eg: A fern, Aerial photo graph of a coastline.

 Natural fractal.  Nature apparently maximizes functional efficiency while using minimum space.  Mathematical fractal.  Based on an equation that undergoes iteration, a form of feedback based on recursion.  Fractal generating software like Sterling, Ultra fractal etc.

 Data compression.  Image creation in science fiction movies, Fractal landscapes.  Characterizing metals.  Describing astronomy, meteorology, ecology and study of galaxy clusters.

 Most widely used for locating roots.  Can be derived using Taylor series or the geometric interpretation of the slope in figure

 In solving non linear equations.  Eg: F : Rk → Rk  To find the zeroes of a function F defined in Banach Space.  To find the zeroes of complex functions. Time domain-synthesis.  In solving flow-mechanic chemistry equations of CO2 storage in saline aquifers.