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Teachers' Lounge Discussion: Pre-calculus

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From: Pat

To: Teacher2Teacher Public Discussion
Date: 2000110714:23:58
Subject: Applications of i in quantum mechanics

In physics, quantum mechanics uses complex numbers in wave functions of particles. These functions have a complex amplitude, including a real and "imaginary" part. Complex numbers give a complete system for finding the roots of polynomials. In electrical engineering, complex roots are found in circuit theory where the polynomial is part of the model equation for simple circuits. Alternating current involves complex roots. In mechanical engineering, vibrations with wavelike results can have complex roots. Fractals are also an application of complex numbers. The Mandelbrot set is defined as the set of all points that remain bounded for every iteration of z= z*z + c on the complex plane, where the initial value of z is 0 and c is a constant. -Pat, for the Teacher2Teacher service Visit us again at http://forum.swarthmore.edu/t2t/

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