Poisson distribution derivation from binomial distribution

www.avidsynergy.com/pdf/PoissonDistribution.pdf

Notes on Poisson Process

www.avidsynergy.com/pdf/Poisson_process.pdf

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Square Pyramidal Number and Polynomials

The square pyramidal number is the sum of squares of consecutive natural numbers. Below a method of computing square pyramidal number is presented in which operations on polynomials are used. This method can become extended to compute the sum of any integer powers of consecutive natural numbers.

www.avidsynergy.com/pdf/sum_of_squares_with_polynomials.pdf

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Notes on Fourier Transform Derivation from Fourier Series of Exponential Functions with Imaginary Exponents

www.avidsynergy.com/pdf/fourier_transform_derivation.pdf

Sum of Cosines Integration (original presentation)

www.avidsynergy.com/pdf/SinOfXdividedByXintegration.pdf

Gaussian Integral

www.avidsynergy.com/pdf/IntegrationOfExpMinusXsquaredSlides.pdf

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On Gaussian Distribution from Diffusion Equation

www.avidsynergy.com/pdf/diffusion_equation.pdf

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Intermediate computation

www.avidsynergy.com/pdf/intermediate_computation.pdf

Note on Cauchy-Schwarz inequality

http://www.avidsynergy.com/pdf/Cauchy_Schwarz_inequality.pdf

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From the Newton's second law of motion harmonic oscillator equation is obtained which is solved without guessing the solution

www.avidsynergy.com/pdf/harmonic_oscillator.pdf