Chemistry-Representation of Signals

May 2nd, 2015
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2 Introduction Periodic Signals and Fourier Series 1.2.1 Periodic signals 1.2.2 Fourier series 1.2.3 Convergence of Fourier series and Gibbs phenomenon 1.3 Aperiodic Signals and Fourier Transform 1.3.1 Fourier transform 1.3.2 Dirichlet conditions 1.4 1.5 Properties of the Fourier Transform Unified Approach to Fourier Transform

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CHAPTER 2 : THE STRUCTURE OF THE ATOMMatter occupies space and has mass.Can exist in solid, liquid and gas state.The characteristics of matter can be explained using the kinetic theory of matter.The kinetic theory of matter explains the state of matter in solid, liquid and gaseous states based on the following assumptions: a) Matter is made up of tiny and discrete particles. b) Particles in matter are always vibrating or moving and colliding with each other. c) Particles often move randomly.There are attraction forces between particles of matter. These attraction forces will increase as the distance between the particles become closer. Table 2.0 Characteristics of matters in solid, liquid and gaseous states.Diffusion is a process whereby particles of different matters mix slowly due to the random movement of particles.Table 2.1 Scientists and their atomic models Comparison between subtomic particles :Proton are positively charged, electrons are negatively charged while neutrons are neutral (no charge).The atom of any element is neutral as the number of protons and number of electrons in the atom is equal.For a neutral atom, the total positive charge in the nucleus is equal to the total negative charge of electrons around the nucleus.The number of subatomic particles in different atoms are different.Proton number and nucleon number :The number

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