README.md

My Blog Posts

This repository contains the updated Jupyter notebook versions of my original blog posts at https://dantoudai.wordpress.com Some of my posts have also been published on Medium: https://medium.com/@natsunoyuki

This repository is a direct result of the various difficulties I encountered writing Python code and mathematical equations on Wordpress. The original blog is kept active, and will no longer be updated.

Contents

Data Science

Data & Analytics

• The Central Limit Theorem
• Geocoding Addresses in Python
• Yahoo Finance Stock Data

Machine Learning & Statistical Methods

• Bayesian Optimization of Model Hyperparameters
• Gaussian Process Regression
• Hidden Markov Models
• L1 Norm Linear Regression

Case Studies

• An Analysis of Singapore Resale Flat Prices
• Detecting the Higgs Boson with Machine Learning

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Mathematics

Fractals

• The Julia Set
• The Mandelbrot Set
• Sierpinski's Triangle

Mathematics

• Fourier Transforms
• The Golden Ratio Flower

Probability & Statistics

• Random Matrices

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Physics

Electromagnetism

• 1D Electromagnetic FDTD
• 1D Laser FDTD Simulation
• 2D Electromagnetic FDTD
• 2D Laser FDTD Simulation

Kinematics & Dynamical Systems

• Numerical Integration of ODEs
• Power Series Expansion Method to Estimate Nonlinear ODE Parameters
• Delay Differential Equations

Quantum Physics

• Schrödinger's Python 1 (1D Time Independent Schrödinger Equation)
• Schrödinger's Python 2 (2D Time Independent Schrödinger Equation)
• Schrödinger's Python 3 (3D Time Independent Schrödinger Equation)
• Transfer Matrices

Statistical Mechanics

• Markov Chain Monte Carlo
• Parallel Process Monte Carlo Simulations

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Seismology

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• Seismic Data Analysis in Python