ibrahimjarra/blog_posts

These are the Jupyter notebook versions of my original blog posts at www.dantoudai.wordpress.com.

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